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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/essd-18-3711-2026</article-id><title-group><article-title>A 25 km daily gridded dataset of meteorological variables and high-impact weather events for new-type  power systems in China</article-title><alt-title>Gridded dataset for meteorology and new-type power systems</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Zhang</surname><given-names>Feimin</given-names></name>
          <email>zfm@lzu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0002-4052-4453</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bi</surname><given-names>Kaixuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Chen</surname><given-names>Xing</given-names></name>
          <email>xing-chen@geidco.org</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yang</surname><given-names>Yi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Yang</surname><given-names>Fang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Chenghai</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7122-7160</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Climate Resource Development and Disaster Prevention of Gansu Province, Research and Development Center of Earth System Model (RDCM), College of Atmospheric Sciences,  Lanzhou University, Lanzhou, 730000, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Global Energy Interconnection Group Co., Ltd., Beijing, 100032, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Feimin Zhang (zfm@lzu.edu.cn) and Xing Chen (xing-chen@geidco.org)</corresp></author-notes><pub-date><day>2</day><month>June</month><year>2026</year></pub-date>
      
      <volume>18</volume>
      <issue>6</issue>
      <fpage>3711</fpage><lpage>3728</lpage>
      <history>
        <date date-type="received"><day>16</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>23</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>26</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>5</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Feimin Zhang et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026.html">This article is available from https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e138">The new-type power system exhibits pronounced “weather dependency”, wherein high-impact weather events can significantly exacerbate operational security risks. A high-quality gridded dataset that involves both meteorological variables and high-impact weather events is of great significance for new-type power systems. In this study, a spatially adaptive optimal interpolation scheme is developed and applied to generate the China New-type Power Systems Meteorological (CNPS-Met) dataset. The CNPS-Met dataset covers the entire Chinese mainland, with a daily temporal resolution and a 25 km spatial resolution. It includes eight meteorological variables and eleven high-impact weather events, categorized from generation-side, grid-side and demand-side perspectives relevant to new-type power systems. Validation with existing datasets indicates that the CNPS-Met dataset generally exhibits superior performance in meteorological estimation. Specifically, the estimated mean relative errors for 2 m air temperature, 2 m specific humidity, 10 m wind speed, precipitation and surface pressure averaged over the Chinese mainland could be reduced by 1.7 %–18.5 %, 9.0 %–29.6 %, 1.9 %–8.5 %, 2.7 %–18 % and 4.9 %–5.2 %, respectively. On this basis, a series of high-impact weather events critical to the operation of new-type power system are identified. The spatial distribution of their frequency hotspots and intensity extremes are further analyzed. The CNPS-Met dataset (<ext-link xlink:href="https://doi.org/10.12072/ncdc.nieer.db6972.2025" ext-link-type="DOI">10.12072/ncdc.nieer.db6972.2025</ext-link>, Zhang et al., 2025) is expected to benefit research and applications at the intersection of meteorology and new-type power systems.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Fundamental Research Funds for the Central Universities</funding-source>
<award-id>lzujbky-2024-ey08</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e153">A high-quality meteorological reanalysis dataset is of great significance for analyzing climate change, verifying climate simulations, identifying high-impact weather events, and predicting future climate change etc. (Qin et al., 2022; Wen et al., 2023). Over the past decades, China has built a large-scale ground-based meteorological observation network, with the total number of ground-based observation stations exceeding 2400 (Xu et al., 2019). However, in regions with complex terrain such as mountainous areas, the Tibetan Plateau, and the Gobi Desert, ground-based observation stations are relatively sparse. As a result, the climate variability at small geographic scales cannot be adequately represented (Wen et al., 2023; Jiang et al., 2023), which constrains the practical applications of ground-based observation stations. Recently, China has been building a new-type power system, with the core objective being to maximize the integration of renewable energy such as wind and solar energy (Xin, 2023). However, renewable energy integration is highly susceptible to weather and climate (D'Amico et al., 2024; Gao et al., 2025). Against the backdrop of global warming and the increasing frequency of extreme weather events (IPCC, 2021), significant challenges are expected for the development of the new-type power system. Therefore, to support both research and practical needs related to new-type power systems, it is essential and urgent to develop a high-quality gridded dataset that includes both meteorological variables and high-impact weather events relevant to power systems.</p>
      <p id="d2e156">Apart from several global atmospheric reanalysis datasets such as the ECMWF (European Centre for Medium-Range Weather Forecasts) Reanalysis v5 (ERA5) (Hersbach et al., 2020), and Modern-Era Retrospective analysis for Research and Applications (MERRA) (Christensen et al., 2019) etc., several other widely used gridded meteorological datasets covering China have recently been developed, most of which are available at a daily scale. For instance, the gridded daily observation dataset across the China region (CN05.1) was developed based on approximately 2400 ground-based observation stations in China. It has a spatial resolution of 0.25° <inline-formula><mml:math id="M1" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25° and covers the period from 1961 to 2020. This dataset was constructed using spatial interpolation methods (Wu and Gao 2013; Wu et al., 2017). The China Meteorological Forcing Data (CMFD) dataset, spanning from 1951 to 2020 with a temporal resolution of 3 h and a spatial resolution of 0.1° <inline-formula><mml:math id="M2" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.1°, was produced by integrating remote sensing products, ERA5 reanalysis, and approximately 400 ground-based observation stations in China. The methodology employed interpolation techniques based on the ANUSPLIN software and deep learning (He et al., 2020). More recently, the China Daily Meteorological Dataset (CDMet), covering 2000 to 2020, at a spatial resolution of 4 km <inline-formula><mml:math id="M3" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4 km, was generated by merging ERA5 reanalysis with 699 ground-based meteorological stations across China. An adaptive interpolation scheme combining thin-plate spline interpolation and random forest algorithm was used in its production (Zhang et al., 2024b). These datasets provide useful basis for climate analysis, land surface and hydrology process study etc. (e.g., Qiu et al., 2024; Sutanto et al., 2024). Extreme weather and climate events can also be derived from these datasets, using indices released by the World Meteorological Organization (Heim, 2015). However, the definition of extreme weather and climate events in atmospheric sciences, typically conceptualized as low-probability events under large-sample assumptions, may not fully align with the operational needs of new-type power systems. In fact, there are currently no dedicated datasets of extreme or high-impact weather events categorized according to the generation-side, grid-side, and demand-side needs of new-type power systems. Furthermore, although both the CDMet and CMFD datasets incorporate diverse data sources, including satellite remote sensing and reanalysis products, their utilization of ground-based observation stations remains relatively limited. Over the complex terrain, ground-based observation stations have been shown to possess superior accuracy and representativeness compared to satellite-derived and reanalysis data (Wei et al., 2023; Rao et al., 2024; Jiang et al., 2025).</p>
      <p id="d2e180">Another issue that requires attention is that the methodology employed in the aforementioned datasets relies heavily on spatial interpolation techniques. When limited ground-based observation stations are used to generate gridded dataset at finer resolution, the process effectively becomes extrapolation, meaning that estimates are made beyond the boundaries of the original data coverage. In contrast, data assimilation, a well-established technique in atmospheric modelling, aims to optimally combine observations with background model fields to produce a more accurate estimate of the true atmospheric state, while explicitly accounting for uncertainties in both the observations and the model (Talagrand, 1997). Additionally, data assimilation incorporates information about the influence of climate condition on the spatial distribution and relationships among meteorological variables (Kalnay, 2003). In practice, it has been widely used in operational numerical weather prediction and the construction of gridded datasets (e.g., Kalnay, 2003; Hunt et al., 2007; Bannister, 2008; Lee et al., 2013; Carrassi et al., 2018; Lindskog and Landelius, 2019; Zhao et al., 2024). The optimal interpolation (OI) is a classical data assimilation scheme known for its high computational efficiency and reliable accuracy. It has been shown to be fundamentally equivalent to more advanced methods such as the three-dimensional variational assimilation (Gandin, 1959; Akmaev, 1999; Eyre et al., 2022). A key factor influencing the performance of OI is the design of the observation operator (e.g., Daley, 1993; Uboldi et al., 2008; Girotto et al., 2020).</p>
      <p id="d2e183">The Cressman interpolation method (Cressman, 1959), which establishes the relationship between observations and background field through a weight function, is commonly used as observation operator in OI (Liu et al., 2016). However, in the traditional Cressman interpolation, the influence radius in the weight function is assumed to be a fixed constant. This assumption is reasonable in idealized situations where observations are uniformly distributed. In cases of uneven observational coverage, however, the use of a fixed radius can introduce significant errors and uncertainties into the observation operator, thereby degrading the performance of the OI scheme (e.g., Alonso et al., 2018; Miatselskaya et al., 2022; Wang et al., 2023; Jiang et al., 2025). Therefore, dynamically adjusting the influence radius based on the spatial distribution and density of observations around each grid point in the background field would be a potential approach to improving observation operator and enhancing the overall performance of OI. Based on the aforementioned discussions, the motivation of this study is to develop an improved OI assimilation scheme, and to generate the China New-type Power Systems Meteorological (CNPS-Met) dataset. This dataset includes basic meteorological variables and high-impact weather events, categorized according to three critical vulnerability dimensions: generation-side, grid-side, and demand-side.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Modelling data</title>
      <p id="d2e201">The CNPS-Met dataset is generated by fusing hourly ground-based observation stations with ERA5 reanalysis. The data from 2598 meteorological stations across China (Fig. 1a), spanning the period from 1980 to 2016, are used. These data include wind speed at 10 m, air temperature, relative humidity at 2 m, surface pressure, and precipitation, and can be obtained from China Meteorological Administration (<uri>https://data.cma.cn/</uri>, last access: 28 August 2025). Prior to publication, the observations underwent strict quality control. The meteorological stations are densely distributed in eastern and southern China (Fig. 1a) but are sparse in the northwestern regions and the Tibetan Plateau (Fig. 1a).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e209">Distribution of <bold>(a)</bold> ground-based meteorological stations (red dots) and terrain height (shaded colors), and <bold>(b)</bold> the seven sub-regions across Chinse mainland. The seven sub-regions include Northeast China (NE), North China (NC), South China (SC), Northwest China (NW), East China (EC), Central China (CC), and Southwest China (SW).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f01.png"/>

        </fig>

      <p id="d2e224">ERA5, the fifth generation of reanalysis data released by the ECMWF (<uri>https://cds.climate.copernicus.eu/datasets/reanalysis-era5-land?tab=overview</uri>, last access: 21 March 2025), exhibits robust performance in China (Hersbach et al., 2020; Jiang et al., 2021; Lavers et al., 2022). In this study, precipitation, surface pressure, wind speed at 10 m, air temperature and specific humidity at 2 m, at a horizontal resolution of 1° <inline-formula><mml:math id="M4" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1° and a temporal resolution of 1 h, are used as background field in the assimilation. Specific humidity and relative humidity can be mutually converted through thermodynamic formulas that incorporate air temperature and pressure (Lovell-Smith and Pearson, 2005).</p>
      <p id="d2e238">To improve the accuracy of the input data and ensure the integrity of the CNPS-Met dataset, we exclude the anomalous records by detecting records that are deviated significantly from their mean values using the three-sigma rule method (Oakland and Oakland, 2007). The three-sigma rule method was applied to the full time series. Approximately 0.18 % records were excluded.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Validation data</title>
      <p id="d2e249">The daily CN05.1, CMFD and CDMet gridded datasets are used to validate the CNPS-Met dataset. Although the CMFD has the sub-daily (3-hourly) records, it is primarily derived from the ERA5 reanalysis and remote sensing products, rather than ground-based observation stations. Therefore, daily datasets are validated in this study. In addition, although the CMFD and CDMet have horizontal resolutions of 10 and 4 km, respectively, they are generated essentially by spatial interpolation rather than fusing additional observations. Hence, all datasets are interpolated to a common horizontal resolution of 0.25° <inline-formula><mml:math id="M5" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25°.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Spatially adaptive optimal interpolation assimilation scheme</title>
      <p id="d2e267">The Optimal Interpolation (OI) assimilation scheme is employed to generate the CNPS-Met dataset. This scheme estimates optimal values by minimizing the errors between the observations and the background fields. The objective function is defined as follows:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M6" display="block"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="bold">W</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="bold">H</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the analysis field (optimal field), <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the background field (e.g., ERA5 reanalysis), they are both the matrix of <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>×</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula> (grid points in the latitudinal and meridional directions, respectively); <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the observations, which is the vector with a length of <inline-formula><mml:math id="M11" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> (e.g., number of ground-based stations); the two-dimensional matrix <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula> is the observation operator, which maps values from regularly gridded background fields to irregularly distributed ground-based station observations; <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="bold">W</mml:mi></mml:math></inline-formula> is the optimal weight matrix, which can be written as:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M14" display="block"><mml:mrow><mml:mi mathvariant="bold">W</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="bold">BH</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msup><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msup><mml:mi mathvariant="bold">HBH</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="bold">R</mml:mi></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>

          where superscript <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="normal">T</mml:mi></mml:math></inline-formula> denotes the matrix transpose operation; <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="bold">B</mml:mi></mml:math></inline-formula> is the background error covariance matrix, and <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="bold">R</mml:mi></mml:math></inline-formula> is the observation error covariance matrix, they can be written as:

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M18" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="bold">B</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">E</mml:mi><mml:mfenced open="{" close="}"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:msubsup><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="bold">R</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold">E</mml:mi><mml:mfenced open="{" close="}"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:msubsup><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="normal">o</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the vector of grid points variances and covariances in the background filed over a given period (e.g., one month), while <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ε</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the corresponding vector of variances and covariances for ground-based station observations over the same period; <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="bold">E</mml:mi></mml:math></inline-formula> represents a two-dimensional matrix. From the above equations, it is clear that given the observations (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the background field (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), the background error covariance matrix (<inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="bold">B</mml:mi></mml:math></inline-formula>) and the observation error covariance matrix (<inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="bold">R</mml:mi></mml:math></inline-formula>) are determined. Consequently, the performance of the OI assimilation scheme depends solely on the observation operator (<inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula>).</p>
      <p id="d2e564">The observation operator (<inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula>), implemented here using Cressman interpolation, applies a distance-dependent weighting function to compute a weighted average of observations, with weights monotonically decreasing as a function of distance, thereby emphasizing the contribution of local observations to the final interpolated field. The observation operator can be determined via iterative updating as follows:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M28" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>K</mml:mi></mml:munderover><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi>w</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>K</mml:mi></mml:munderover><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>k</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> denotes the difference between observation at <inline-formula><mml:math id="M30" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th ground-based station and grid point (<inline-formula><mml:math id="M31" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M32" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>) at <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>th iteration; <inline-formula><mml:math id="M34" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> denotes the number of total ground-based stations; <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msubsup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msubsup><mml:mo>=</mml:mo><mml:msubsup><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mrow><mml:mi mathvariant="italic">γ</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> denotes updated temporary background filed at <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>th iteration, which will be used to continuously update <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>, the ERA5 reanalysis will be used as first guess in the iteration; the iteration termination condition is <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mfenced close="|" open="|"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the resulting <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="bold">H</mml:mi><mml:mi mathvariant="italic">γ</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> will be then used as the definitive observation operator (<inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="bold">H</mml:mi></mml:math></inline-formula>) in Eqs. (1–2) to perform OI assimilation; <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the weight function in Cressman interpolation, its expression can be written as:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M43" display="block"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msubsup><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msubsup><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>≤</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub><mml:mo>&gt;</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the spatial distance between grid point (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>) and observation at <inline-formula><mml:math id="M46" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th ground-based station; <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> represents the influence radius.</p>
      <p id="d2e1063">In the traditional Cressman interpolation, the influence radius is typically held constant. While this assumption is reasonable in regions with uniformly distributed observation stations, it would become problematic in practice due to the inherently uneven distribution of stations, especially over complex terrain. Such non-uniformity can degrade the performance of Cressman interpolation (Lin and Liu, 2012; Wang et al., 2023), and consequently impair the accuracy of OI assimilation scheme. To overcome this limitation, this study introduces a spatially adaptive influence radius that adjusts according to local observation density and distribution. This enhancement would improve the observation operator and optimizes the overall OI assimilation framework. The proposed method is referred to as the spatially adaptive OI assimilation scheme. The spatially varying influence radius <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> is calculated as follows:

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M49" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mo movablelimits="false">min⁡</mml:mo><mml:mo mathvariant="italic" mathsize="2.0em">{</mml:mo><mml:mi>R</mml:mi><mml:mo>|</mml:mo><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>R</mml:mi></mml:mrow></mml:mfenced><mml:mo>≥</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mo>min⁡</mml:mo></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>min⁡</mml:mo></mml:msub><mml:mo>≤</mml:mo><mml:mi>R</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mo>max⁡</mml:mo></mml:msub><mml:mo mathvariant="italic" mathsize="2.0em">}</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mfenced close=")" open="("><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mi>R</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> denotes the number of observation stations within a circle of search radius <inline-formula><mml:math id="M51" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> centered at grid point (<inline-formula><mml:math id="M52" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M53" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>); the lower limit <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>min</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is 1 km, while the upper limit <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is set to 200 km; <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>min</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represents the preset minimum threshold for the number of observation stations within the search radius <inline-formula><mml:math id="M57" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>. Here, this parameter is set to <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, meaning that for each grid point, the scheme dynamically expands the search radius until the number of available observation stations within the search region reaches at least 5. From Eq. (7), it is clear that when <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, in extremely data-sparse regions (e.g., Northwest China), the search radius remains too small, which may cause assimilation results based on only a few stations (e.g., 1–2 stations) to become not robust due to insufficient representativeness or accidental errors. When <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mtext>min</mml:mtext></mml:msub><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, this could lead to missing values of the influence radius in the data-sparse regions (not shown).</p>
      <p id="d2e1292">Figure 2 shows the spatial distribution of the influence radius <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> in the spatially adaptive OI assimilation scheme across China. Results indicate that, the influence radius varies with the station density, that is, it is larger in data-sparse regions and is smaller in data-dense regions, which generally captures the spatial distribution of stations (Fig. 1a), suggesting that the spatially adaptive OI scheme proposed in this study could dynamically adjust the influence radius based on the density of local observations.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1317">Spatial distribution of the influence radius <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> (unit: km) in the spatially adaptive OI assimilation scheme.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f02.png"/>

        </fig>

      <p id="d2e1345">The assimilation performance of the new scheme and the traditional scheme is compared over the sample period from January to December 2013 (not shown). Results show that, compared with the traditional OI scheme (using a fixed influence radius), the new scheme proposed in this study (using a spatially adaptive influence radius) could obviously reduce the simulation errors for different regions, different months, and different meteorological variables across China. This indicates that the new scheme proposed in this study outperforms the traditional scheme.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Evaluation Metrics</title>
      <p id="d2e1356">The performance of the CNPS-Met dataset is evaluated using the statistics including the mean relative error (MRE), the root mean square error (RMSE), correlation coefficient (<inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), and the modeling efficiency (EF):

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M64" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="normal">MRE</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mfenced close="|" open="|"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>/</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>9</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">RMSE</mml:mi><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd><mml:mtext>10</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mfenced open="[" close="]"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>O</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>O</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E11"><mml:mtd><mml:mtext>11</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">EF</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mi>O</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M65" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> denotes sample size; <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the observed and estimated values, respectively; <inline-formula><mml:math id="M68" display="inline"><mml:mover accent="true"><mml:mi>O</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math id="M69" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> are the average of the observed and estimated values, respectively. Values of MRE and RMSE closer to 0, and <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and EF closer to 1, indicate better estimation performance.</p>
      <p id="d2e1735">Apart from the above statistics, a more comprehensive statistic referred to as the global performance index (GPI; Despotovic et al., 2015), is introduced in this study:

            <disp-formula id="Ch1.E12" content-type="numbered"><label>12</label><mml:math id="M71" display="block"><mml:mrow><mml:mi mathvariant="normal">GPI</mml:mi><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:munderover><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi>k</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>y</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the median of the scaled values of indicator <inline-formula><mml:math id="M73" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> (i.e., MRE, RMSE, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and EF); <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is scaled value of indicator <inline-formula><mml:math id="M76" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>; <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> corresponds to MRE and RMSE, while <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> corresponds to <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and EF. The higher the GPI, the better performance of the overall estimation. </p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Identification of high-impact weather events for new-type power systems</title>
      <p id="d2e1886">Based on a comprehensive review of the existing literatures, the high-impact weather events for the generation-side, grid-side and demand-side of new-type power systems could be defined in Table 1. In the generation-side, cut-out wind speed is defined as hourly wind speed reaches or exceeds 25 m s<sup>−1</sup>, that is, wind turbine automatically shuts down to prevent equipment damage when wind speeds reach or exceed this threshold, resulting in an abrupt reduction of wind power output to zero (Jerez et al., 2015; Song et al., 2022). According to Jerez et al. (2015) and Song et al. (2022), cut-in wind speed is defined as hourly mean wind speeds <inline-formula><mml:math id="M81" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2.5 m s<sup>−1</sup>, that is, wind turbines would remain in standby or idle mode when wind speed is less than or equal to this threshold, resulting in effectively zero power output. The wind turbine hub height defined in this study is 70 m, when identifying cut-in and cut-out wind speed that are relevant to high-impact weather events, the wind speeds at 10 m are converted to 70 m using the empirical power law method, which can be expressed as:

            <disp-formula id="Ch1.E13" content-type="numbered"><label>13</label><mml:math id="M83" display="block"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi mathvariant="italic">α</mml:mi></mml:msup></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represent wind speed at 70  and 10 m, respectively; <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represent the target height (70 m) and the reference height (10 m), respectively; <inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> is a prescribed constant, taken as 0.14.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2011">Classification and definition of high-impact weather events for new-type power systems.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="1.8cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="2.5cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="1.5cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="3.5cm"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="2.5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Components of new-type power system</oasis:entry>
         <oasis:entry colname="col2" align="left">High-impact weather events</oasis:entry>
         <oasis:entry colname="col3" align="left">Abbreviation</oasis:entry>
         <oasis:entry colname="col4" align="left">Definition</oasis:entry>
         <oasis:entry colname="col5" align="left">Impacts on new-type power systems</oasis:entry>
         <oasis:entry colname="col6" align="left">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Generation-side</oasis:entry>
         <oasis:entry rowsep="1" colname="col2" align="left">Cut-out wind speed</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left"><inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly wind speed <inline-formula><mml:math id="M90" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 25 m s<sup>−1</sup></oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">Wind turbine shutdown causes abrupt drop in wind power output to zero</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Song et al. (2022) Jerez et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Cut-in wind speed</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left"><inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly wind speed <inline-formula><mml:math id="M93" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 2.5 m s<sup>−1</sup></oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">Wind turbine remains in standby or idle mode, resulting in abnormal zero power output</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Song et al. (2022) Jerez et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Low radiation</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left"><inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mtext>Low</mml:mtext><mml:mtext>rad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly radiation <inline-formula><mml:math id="M96" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 100 W m<sup>−2</sup></oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">Reduces the efficiency of photovoltaic conversion</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Sundaram and Go (2024) Lei et al. (2025)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Extreme high temperature</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">maxg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly temperature <inline-formula><mml:math id="M99" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 35°</oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">Overloading of power equipment leads to loss of power generation efficiency</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Al-Khayat et al. (2021) Yang et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Extreme low temperature</oasis:entry>
         <oasis:entry colname="col3" align="left"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">ming</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4" align="left">Hourly temperature <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry colname="col5" align="left">Equipment shutdown resulting in loss of power generation efficiency</oasis:entry>
         <oasis:entry colname="col6" align="left">Ju et al. (2022) Sun et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Grid-side</oasis:entry>
         <oasis:entry rowsep="1" colname="col2" align="left">Ice accretion</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">Icing</oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly temperature <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>°, hourly relative humidity <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula> %, and hourly wind speed <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m s<sup>−1</sup> simultaneously</oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">Significantly increases the mechanical load on transmission lines, causing line breakage, flashover, and tripping</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Gu et al. (2010) Shen and Li (2010) Pei et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Snowfall</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left">Snowing</oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly precipitation <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> mm and hourly temperature <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>° simultaneously</oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">Increases the risk of line icing, damages the structural strength of power facilities, and threatens the reliability of power supply</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Iver and Thomas (2019) Cole et al. (2020)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Conductor galloping</oasis:entry>
         <oasis:entry colname="col3" align="left">Galloping</oasis:entry>
         <oasis:entry colname="col4" align="left">Hourly relative humidity <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> % and wind speeds exceeding 4 m s<sup>−1</sup> persisted for more than 3 h simultaneously</oasis:entry>
         <oasis:entry colname="col5" align="left">Cause short circuit tripping of the line and may lead to chain faults</oasis:entry>
         <oasis:entry colname="col6" align="left">Tsujimoto et al. (1983) Li et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Demand-side</oasis:entry>
         <oasis:entry rowsep="1" colname="col2" align="left">Extreme high temperature</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">maxd</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly temperature <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">The demand for electricity load would sharply increase</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Fu et al. (2015) Ye et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry rowsep="1" colname="col2" align="left">Extreme low temperature</oasis:entry>
         <oasis:entry rowsep="1" colname="col3" align="left"><inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">mind</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4" align="left">Hourly temperature <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>°</oasis:entry>
         <oasis:entry rowsep="1" colname="col5" align="left">The sensitivity of electricity load demand would sharply increase to extreme low temperature</oasis:entry>
         <oasis:entry rowsep="1" colname="col6" align="left">Shaffer et al. (2022) Millin et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Heat and humid environment (High enthalpy environment)</oasis:entry>
         <oasis:entry colname="col3" align="left">HHE</oasis:entry>
         <oasis:entry colname="col4" align="left">Hourly temperature <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula>° and relative humidity <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">65</mml:mn></mml:mrow></mml:math></inline-formula> % simultaneously</oasis:entry>
         <oasis:entry colname="col5" align="left">Significantly increases the risk of human heat stress and exacerbates the load on power equipment</oasis:entry>
         <oasis:entry colname="col6" align="left">Sullivan et al. (2015) Jane et al. (2023)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2581">Based on the observations of hourly solar irradiance and power generation efficiency in large-scale photovoltaic power plants, Sundaram and Go (2024) demonstrated that photovoltaic conversion efficiency decreases significantly when hourly solar irradiance falls below 100 W m<sup>−2</sup>, with the performance ratio declining to critical levels; supporting this finding, Lei et al. (2025) established through comprehensive literature reviews that <inline-formula><mml:math id="M117" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 100 W m<sup>−2</sup> represents the standardized threshold for low-light conditions in photovoltaic systems; therefore, low radiation is defined as hourly solar irradiance <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> W m<sup>−2</sup>. Through systematic analysis of measurements and experiments (Oloufemi et al., 2016; Al-Khayat et al., 2021; Yang et al., 2022; Sun et al., 2022; Ju et al., 2022; Köster and Binder, 2023), Bi et al. (2025) derived a fitted relationship between power generation loss and air temperature; for operational definitions, extreme high temperature is specified as <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula>°, while extreme low temperature is defined as <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>°.</p>
      <p id="d2e2661">In the grid-side, ice accretion is defined as hourly air temperature <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>°, hourly relative humidity <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula> % and hourly wind speed <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m s<sup>−1</sup>; this definition is supported by three evidences: first, thermodynamic analysis by Gu et al. (2010) demonstrated through thermal equilibrium theory and wind tunnel experiments that the required Joule heating for anti-icing systems exhibits a sharp decline when temperatures fall below 0 °C, indicating a fundamental threshold for ice formation; second, comprehensive field observations by Shen and Li (2010) established the multi-parameter requirements for ice accretion on transmission lines, that are, the critical thermal window (temperature <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>°, with optimal range between <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>° and <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>°), the moisture threshold (relative humidity <inline-formula><mml:math id="M130" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 85 % for sufficient water vapor supply), and the aerodynamic constraint (wind speed <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m s<sup>−1</sup> to enable effective droplet impingement while preventing wind-driven shedding); third, these parameters are also codified in the Chinese Meteorological Industry Standard QX/T 355-2016 for wire icing risk assessment, which formally defines ice accretion as “the adherence of glaze, rime, or frozen wet snow to conductors” (Pei et al., 2024). Tsujimoto et al. (1983) found that conductor galloping typically occurs when wind speeds <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m s<sup>−1</sup> and persist for over 3 h; Li et al. (2015) further established meteorological thresholds by analyzing hourly weather variations during galloping events and considering galloping mechanisms and grid operation experience; based on these studies, the galloping criterion in this study is defined as: hourly relative humidity <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> % with sustained (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> h) wind speeds <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m s<sup>−1</sup>. Snowfall is defined as hourly precipitation <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> mm with air temperature <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>°, consistent with the standard definition adopted in community land surface models (Oleson et al., 2013).</p>
      <p id="d2e2852">In the demand-side, Fu et al. (2015) investigated the response of observed daily peak power load to temperature variations, identifying 38° as a critical threshold for peak power load, beyond which demand surges dramatically; observation analysis of Shaffer et al. (2022) found that power demand sensitivity increases sharply below <inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10°; similarly, Millin et al. (2024) observed significant load anomalies below <inline-formula><mml:math id="M142" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6° in the US Midwest; accordingly, we define extreme high and low temperature thresholds as: hourly temperature <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula>° and <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>°, respectively. Baldwin et al. (2023) demonstrated through physiological experiments and observations that combined thermal stress (air temperature <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>° with relative humidity <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">65</mml:mn></mml:mrow></mml:math></inline-formula> %) significantly increases human heat strain risks in power load sectors; Sullivan et al. (2015) further identified 28° as the critical temperature threshold for notable load growth through hourly load-temperature analysis; accordingly, heat and humid environment (high enthalpy environment) is defined as: hourly temperature <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula>° with relative humidity <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">65</mml:mn></mml:mrow></mml:math></inline-formula> %.</p>
      <p id="d2e2932">We need to explain that although these high-impact weather events are defined through literature reviews, their definitions are grounded in empirical evidence derived from observational studies, controlled laboratory experiments, or synthesis of established research findings. Therefore, the resulting classifications should be both scientifically reasonable and reliable. Furthermore, the CNPS-Met dataset is generated by assimilating hourly <italic>in-situ</italic> observations into hourly ERA5 reanalysis; therefore, the minimum temporal resolution of the meteorological variables is 1 h. On this basis, high-impact weather events are identified according to their respective definitions. After all such events are identified at hourly scale; they are aggregated to the daily scale. In other words, the CNPS-Met dataset supports both hourly and daily temporal scales. The hourly variables, including all meteorological elements and high-impact weather events, are subsequently stored and published online at daily scale. Moreover, the “frequency” in the following text refers to the number of days where the event occurred (i.e. the number of days where the event occurred at least once), rather than an estimate of the number of hours. For example, if a grid point experiences a high-impact weather event for at least 1 h on a certain day, then that day is marked as a high-impact weather event day for that grid point.</p>
      <p id="d2e2938">For high-impact weather events such as ice accretion, conductor galloping, and heat and humid environment in Table 1, as they involve multiple meteorological variables, the following composite weather index (CWI) is defined to characterize their occurrence and intensity:

            <disp-formula id="Ch1.E14" content-type="numbered"><label>14</label><mml:math id="M149" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">CWI</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced close="" open="{"><mml:mtable class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:munderover><mml:mo movablelimits="false">∏</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">th</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mo>max⁡</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mi mathvariant="normal">th</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>≥</mml:mo><mml:mi mathvariant="normal">th</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>≥</mml:mo><mml:mi mathvariant="normal">th</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mi mathvariant="normal">else</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M150" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> represents a high-impact weather event composed of <inline-formula><mml:math id="M151" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> meteorological variables, where the index of each variable is denoted by subscript <inline-formula><mml:math id="M152" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi><mml:mo>,</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>). The threshold and the daily maximum value of the <inline-formula><mml:math id="M154" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th variable <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> are denoted as <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mi mathvariant="normal">th</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi mathvariant="normal">max</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>, respectively. The <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mi mathvariant="normal">max</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> represents the multi-year daily maximum value of the <inline-formula><mml:math id="M159" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th variable in the corresponding different grid point.</p>
      <p id="d2e3187">To analyze high-impact weather events affecting new-type power systems across different regions of China, seven sub-regions (Fig. 1b) are defined according to the spatial distribution and organizational characteristics of the power grid in China (Zhuo et al., 2022).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Verification of the CNPS-Met dataset</title>
      <p id="d2e3199">Figure 3 shows the spatial distribution of differences in MREs of various meteorological variables between the CNPS-Met dataset and three other widely used datasets (CN05.1, CMFD and CDMet). Results show that the CNPS-Met dataset achieves lower MREs across different meteorological variables and over the majority region of China compared to the other datasets, indicating a generally higher accuracy of the meteorological estimates in CNPS-Met. Significant improvements are particularly evident in humidity, temperature and precipitation. However, exceptions are observed in some regions along the periphery of the Tibetan Plateau, where performance gains are less pronounced. Compared to the other datasets, the improvement in wind speed within CNPS-Met remains limited. Consistent results can also be found in different seasons (not shown). These discrepancies may be attributed to the following factors. First, the OI assimilation scheme employed in this study relies on background and observation error covariance matrices (Eqs. 3–4) derived from monthly-scale statistics. These matrices are static and may fail to adequately capture the rapid temporal variation characteristics of highly transient and intermittent variables such as wind speed. Second, regions where CNPS-Met exhibits larger errors are characterized by complex terrain and sparse observational coverage, the inherent uncertainties in the background field (e.g., ERA5) would diminish the effectiveness of the assimilation performance in these regions.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e3204">Spatial distribution of the differences in the mean MREs (unit: %; averaged over 1980–2016) between three dataset pairs: <bold>(a–d)</bold> CNPS-Met and CN05.1 (MRE_CNPS-Met minus MRE_CN05.1), <bold>(e–i)</bold> between CNPS-Met and CMFD (MRE_CNPS-Met minus MRE_CMFD), and <bold>(j–n)</bold> between CNPS-Met and CDMet (MRE_CNPS-Met minus MRE_CDMet). The differences are shown for <bold>(a, e, j)</bold> 2 m specific humidity, <bold>(b, f, k)</bold> precipitation, <bold>(c, g, l)</bold> 2 m air temperature, <bold>(d, h, m)</bold> 10 m wind speed, and <bold>(i, n)</bold> surface pressure. Note that CN05.1 dataset does not include surface pressure.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f03.png"/>

      </fig>

      <p id="d2e3238">Figure 4 displays box plots of the MREs and GPI values across different datasets and meteorological variables, averaged over China for the period 1980–2016. In comparison to the other datasets, CNPS-Met exhibits the lowest MREs with the narrowest range. Similarly, the GPI values in CNPS-Met are generally closest to 1.0 and show lower variability among the datasets. These results collectively indicate that the CNPS-Met dataset achieves superior performance over existing alternatives.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3244">The mean MREs (unit: %) and GPIs (unit: dimensionless) averaged over China from 1980 to 2016 in different datasets for <bold>(a)</bold> 2 m specific humidity, <bold>(b)</bold> precipitation, <bold>(c)</bold> 2 m air temperature, <bold>(d)</bold> 10 m wind speed, and <bold>(e)</bold> surface pressure.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f04.png"/>

      </fig>

      <p id="d2e3268">To evaluate the effects of CNPS-Met at temporal scale, Fig. 5 compares the annual variations of MREs in China for different meteorological variables across different datasets. Results show that CNPS-Met generally outperforms other datasets in most years, especially for precipitation, wind speed and surface pressure. Exceptions occur for air temperature and specific humidity, where MREs from CNPS-Met are larger, such as near 1985 and between 2005 and 2010. The monthly MREs across different datasets and meteorological variables, averaged over China for the period 1980–2016, are further compared in Fig. 6. Consistent with the above results, CNPS-Met outperforms the other datasets in different months, exhibiting generally the lowest MREs and narrowest variability range. As noted earlier, the improvement effect of CNPS-Met on precipitation remains modest compared to that on other meteorological variables.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3273">The inter-annual variation of the mean MREs (unit: %; averaged over China) for <bold>(a)</bold> 2 m specific humidity, <bold>(b)</bold> precipitation, <bold>(c)</bold> 2 m air temperature, <bold>(d)</bold> 10 m wind speed and <bold>(e)</bold> surface pressure in different datasets.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f05.png"/>

      </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3299">Monthly variation of the mean MREs (unit: %; averaged in China from 1980 to 2016) for <bold>(a)</bold> 2 m specific humidity, <bold>(b)</bold> precipitation, <bold>(c)</bold> 2 m air temperature, <bold>(d)</bold> 10 m wind speed and <bold>(e)</bold> surface pressure in different datasets.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f06.png"/>

      </fig>

      <p id="d2e3323">Given the apparent spatial heterogeneity of MREs across different datasets (Fig. 3), Fig. 7 presents the MREs averaged over the period from 1980 to 2016 for China and its seven sub-regions. Results show that among all datasets evaluated, CNPS-Met demonstrates the lowest MREs in various meteorological variables over both the entire China region and its seven sub-regions. In addition to the findings consistent with the analysis above, that are, the MREs for different meteorological variables in CNPS-Met are the smallest. Compared to the other three datasets, MREs of air temperature, specific humidity, wind speed, precipitation and surface pressure averaged over China for the past 40 years could be reduced by 1.7 %–18.5 %, 9.0 %–29.6 %, 1.9 %–8.5 %, 2.7 %–18 % and 4.9 %–5.2 %, respectively. For specific humidity, CNPS-Met exhibits relatively small MREs (7 %–9 %) in South China (SC), East China (EC), Central China (CC), and Northeast China (NE), whereas relatively large MREs (approximately 20 %) are observed in Northwest China (NW) and Southwest China (SW). For wind speed, the smallest MRE (4.1 %) occurs in Northeast China (NE), while the largest MRE (9.0 %) is found in North China (NC). In the case of air temperature, smaller MREs (below 3 %) are exhibited in East China (EC) and Central China (CC), contrasting with the largest MREs (14.1 %) in Northwest China (NW). For precipitation, the smallest MRE (9.6 %) is observed in Northwest China (NW), compared to the largest MRE (57.8 %) in East China (EC). For surface pressure, the smaller MRE (below 10 %) occurs in Northeast China (NE), North China (NC), Central China (CC), South China (SC) and East China (EC), while the larger MRE (9.0 %) is found in other regions. Noted that the improvement of CNPS-Met in wind speed is relatively modest compared to other datasets (see Fig. 3). However, wind speed in CNPS-Met exhibits the smallest MREs among all meteorological variables, similar phenomenon can also be observed in other datasets (see Figs. 5–7).</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3329">The mean MREs (unit: %; averaged over 1980–2016) of different meteorological variables in <bold>(a)</bold> Chinese mainland (CM), <bold>(b)</bold> Northeast China, <bold>(c)</bold> North China, <bold>(d)</bold> Northwest China, <bold>(e)</bold> Southwest China, <bold>(f)</bold> Central China, <bold>(g)</bold> South China, and <bold>(h)</bold> East China. The concentric circles represent different datasets (from inner to outer: CN05.1, CMFD, CDMet and CNPS-Met). The lowest values of MREs are denoted as the lightest color. The mean MREs for surface pressure are denoted as –%, as it is not included in the CN05.1 dataset.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f07.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Characteristics of high-impact weather events for new-type power systems</title>
      <p id="d2e3371">In this section, high-impact weather events from three critical dimensions of the new-type power system such as generation-side, grid-side, and demand-side will be identified from Table 1, followed by a discussion of their spatiotemporal characteristics in the past 40 years.</p>
      <p id="d2e3374">Figure 8 shows the spatial distribution of the multi-year averaged frequency hotspots and intensity extremes (90 % confidence level) of different high-impact weather events in China. The “intensity extreme” at the 90 % confidence level is obtained through <inline-formula><mml:math id="M160" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>-test and refers to the 90th percentile of intensity of high-impact weather events. In the generation-side, cut-out wind speed predominantly occurs over the northern Tibetan Plateau, Eastern Inner Mongolia, and parts of Xinjiang known as the “Hundred-mile Wind Zone”, which is consistent with the regions of high wind energy potentials, as analyzed by Pan et al. (2012), Yao et al. (2018) and Gyatso et al. (2023). Cut-in wind speed is primarily observed in Southwest China, this spatial pattern aligns with existing research on sustained weak wind events in Chinese Mainland, which are known to severely impact generation-side reliability (Gao et al., 2025). Low radiation events are concentrated in the middle and lower reaches of the Yangtze River. This finding is consistent with Zhang et al. (2024a), who attribute the region's lower solar radiation to its higher cloud cover and humidity. Extreme high temperatures are primarily found in the desert regions of Xinjiang (i.e., Junggar and Tarim basins), as well as in Eastern Inner Mongolia, a pattern highly consistent with existing climate model simulation and observations and largely attributed to regional arid conditions (Meng et al., 2019; Dong et al., 2024). Extreme low temperatures occur most frequently in the Kunlun Mountains, the Qilian Mountains and Northeast China, which is consistent with Li et al. (2015) and Shi et al. (2016), who note that despite a general decline trend of extreme low temperatures, these regions remain prone to such events. In the grid-side, ice accretion primarily affects Northeast China, Northern Xinjiang and Kunlun Mountains, which is also reported by Chen et al. (2010). Snowfall events are most frequent across the Tibetan Plateau, Northeast China, and Northwest Xinjiang, this distribution pattern is consistent with the findings of Yang et al. (2019) and Wang et al. (2022) based on their analysis of observations and multi-source reanalysis datasets. Conductor galloping occurs mainly in Northeast China, northern Tibetan Plateau, and sporadic regions in southern China. The spatial distributions of extreme high- and low-temperature frequencies in the demand-side are similar to those in the generation-side. Heat and humid environments occur primarily in Central and Southern China, consistent with Li et al. (2025) regarding their impact on the demand-side. The spatial distributions of high-impact weather intensity and frequency are generally consistent, albeit with some exceptions. For example, in the generation-side, low solar radiation events are most frequent in the middle and lower reaches of the Yangtze River, yet they are relatively weak when they occur. In the grid-side, ice accretion is infrequent in Southern China but tends to be intense. In the demand-side, the extreme low temperatures in Northeast China are particularly severe.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3386">Spatial distribution of frequency hotspots and intensity extremes (90 % confidence level) of different high-impact weather events in Chinese mainland during 1980–2016.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f08.png"/>

      </fig>

      <p id="d2e3396">Figures 9–11 summarize the frequency and intensity of high-impact weather events in the generation-side, grid-side and demand-side in China and its sub-regions. In the generation-side, the highest frequency of cut-out wind speed occurs in North China, while its highest intensity is in East China. Cut-in wind speed is most frequent in Southwest and Central China. Low radiation occurs most frequently in East and Central China. Extreme high temperatures are relatively frequent in Northwest, Central, East and South China, with the greatest intensity observed in North China. Extreme low temperatures are most frequent and most intense in Northeast China. On average, the frequency and mean intensity of cut-out wind speed, cut-in wind speed, low radiation, extreme high temperature and extreme low temperature in China are 0.4 % and 37.3 m s<sup>−1</sup>, 58.9 % and 1.5 m s<sup>−1</sup>, 14.9 % and 30.1 W m<sup>−2</sup>, 2.5 % and 37.1°, 9.9 % and <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23.1</mml:mn></mml:mrow></mml:math></inline-formula>°, respectively. In the grid-side, ice accretion occurs most frequently in North China while its most severe events are observed in South China. Snowfall events are most frequent in Northeast China, while are most intense in Central China. Conductor galloping events are most common in Northeast China while their peak intensity is found in East China. On average, the frequency and mean intensity of ice accretion, snowfall and conductor galloping events in China are 2.36 % and 0.26, 1.03 % and 0.75 mm, and 12.18 % and 0.25, respectively. In the demand-side, both the frequency and intensity of extreme high temperature are relatively high in Northwest and South China. Extreme low temperature reach its highest frequency and intensity in Northeast China.</p>
      <p id="d2e3445">Similarly, heat and humid environment is most pronounced in South, East and Central China. On average, the frequency and mean intensity of extreme high temperature, extreme low temperature and heat and humid environment in China are 0.73 % and 40.94°, 24.84 % and <inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.06°, and 6.07 % and 0.24, respectively.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3458">The annual mean frequency (unit: % per annum) and intensity of high-impact weather events relevant to generation-side across different regions of China (1980 to 2016). The inner and outer circles correspond to the frequency and average intensity, respectively.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f09.png"/>

      </fig>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e3469">Similar to Fig. 9, but for grid-side. Note that the intensity of ice accretion and conductor galloping events is calculated based on CWI indice, which is dimensionless.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f10.png"/>

      </fig>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e3481">Similar to Fig. 9, but for demand-side. Note that the intensity of heat and humid environment events is calculated based on CWI indice, which is dimensionless.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/3711/2026/essd-18-3711-2026-f11.png"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Data availability</title>
      <p id="d2e3499">The CNPS-Met dataset is available in its most updated version from our public repository at <ext-link xlink:href="https://doi.org/10.12072/ncdc.nieer.db6972.2025" ext-link-type="DOI">10.12072/ncdc.nieer.db6972.2025</ext-link> (Zhang et al., 2025). Data are provided as standard NetCDF format. Unit conventions and detailed variable descriptions are included in the metadata and the paper.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Concluding remarks</title>
      <p id="d2e3514">In new-type power systems dominated by wind and solar energy, there is a pronounced “weather dependency” and “system vulnerability”, where high-impact weather events can amplify risks to operational security. Developing a high-quality gridded dataset that involves both meteorological variables and high-impact weather events is of great significance. In this study, the China New-type Power Systems Meteorological (CNPS-Met) dataset is developed, and the spatiotemporal characteristics of high-impact weather events affecting new-type power systems are analyzed. The main conclusions are summarized as follows:</p>
      <p id="d2e3517">An improved optimal interpolation assimilation scheme, herein referred to as the spatially adaptive optimal interpolation scheme, is employed to generate the CNPS-Met dataset. Unlike conventional optimal interpolation schemes that utilize a fixed influence radius in the observation operator, the improved scheme adaptively adjusts the influence radius based on the spatial density and distribution of observational stations, thereby providing the capability to effectively characterize local variations in meteorological variables.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e3523">Introduction to the CNPS-Met dataset.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="9cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Entry</oasis:entry>
         <oasis:entry colname="col2" align="left">Descriptions</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Spatial coverage</oasis:entry>
         <oasis:entry colname="col2" align="left">The Chinese Mainland (excluding maritime territorial)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Temporal range</oasis:entry>
         <oasis:entry colname="col2" align="left">1980–current (ongoing updates)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Spatial resolution</oasis:entry>
         <oasis:entry colname="col2" align="left">25 km <inline-formula><mml:math id="M166" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 25 km</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Temporal resolution</oasis:entry>
         <oasis:entry colname="col2" align="left">Daily</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Time Standard</oasis:entry>
         <oasis:entry colname="col2" align="left">Universal Time Coordinated (UTC)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Format</oasis:entry>
         <oasis:entry colname="col2" align="left">NetCDF</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Invalid value</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>999.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Abbreviation and introduction of meteorological variables</oasis:entry>
         <oasis:entry colname="col2" align="left"><inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">as</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: 2 m mean temperature; <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: 2 m maximum temperature; <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: 2 m minimum temperature; precip: accumulated precipitation; wind: 10 m mean wind speed; <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">hum</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: 2 m mean relative humidity; <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi mathvariant="normal">hum</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: 2 m mean specific humidity; pres: mean surface pressure</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Abbreviation for high-impact weather events in three critical vulnerability dimensions</oasis:entry>
         <oasis:entry colname="col2" align="left">Generation-side: <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mtext>Low</mml:mtext><mml:mtext>rad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">maxg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">ming</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Grid-side: Icing, Snowing, Galloping Demand-side: <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">maxd</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">mind</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, HHE</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3782">The CNPS-Met dataset covers the entire Chinese mainland. It features a daily temporal resolution and a 25 km spatial resolution. The dataset includes eight meteorological variables and eleven high-impact weather events, categorized into generation-side, grid-side and demand-side perspectives. Evaluation results indicates that, the meteorological estimates from the CNPS-Met dataset generally demonstrate superior performance compared to the other three datasets (CN05.1, CMFD and CDMet). This advantage is consistent across various meteorological variables and throughout most regions of China, as evidenced by lower MREs and higher GPI values. Furthermore, CNPS-Met maintains higher accuracy in most years, seasons, and months. Compared to the other datasets, the estimated MREs of 2 m air temperature, 2 m specific humidity, 10 m wind speed, precipitation and surface pressure averaged over the Chinese mainland from 1980 to 2016 in CNPS-Met could be reduced by 1.7 %–18.5 %, 9.0 %–29.6 %, 1.9 %–8.5 %, 2.7 %–18 % and 4.9 %–5.2 %, respectively.</p>
      <p id="d2e3785">Based on the observation experiments, ideal experiments, and literature research, a series of high-impact weather events critical to the operation of new-type power systems are identified. In the generation-side, the frequency and mean intensity of cut-out wind speed, cut-in wind speed, low radiation, extreme high temperature and extreme low temperature in China are 0.4 % and 37.3 m s<sup>−1</sup>, 58.9 % and 1.5 m s<sup>−1</sup>, 14.9 % and 30.1 W m<sup>−2</sup>, 2.5 % and 37.1°, 9.9 % and <inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.1°, respectively. In the grid-side, the frequency and mean intensity of ice accretion, snowfall and conductor galloping events in China are 2.36 % and 0.26, 1.03 % and 0.75 mm, and 12.18 % and 0.25, respectively. In the demand-side, the frequency and mean intensity of extreme high temperature, extreme low temperature and heat and humid environment in China are 0.73 % and 40.94°, 24.84 % and <inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.06°, and 6.07 % and 0.24, respectively.</p>
      <p id="d2e3838">Results of this study are anticipated to establish a foundation for research and applications spanning meteorology and new-type power systems, and are expected to ultimately support the formulation of renewable energy policies in China. Our future work will focus on investigating the direct (e.g., damage to, failure of, and performance degradation in power generation equipment) and indirect (e.g., reduced power generation efficiency and increased operation and maintenance costs) impacts of meteorological conditions on the generation-side, grid-side, and demand-side of the new-type power system through field observations or idealized experiments, thereby establishing a more comprehensive and scientific identification for high-impact weather events, especially the compound weather events. Additionally, influences of high-impact weather events on wind and solar energy are different, which will also be investigated. Furthermore, our dataset is designed to be a living dataset that can be continuously extended, we shall update this dataset continuously and enhance the spatiotemporal resolution and quality of the CNPS-Met dataset by applying artificial intelligence methods (including image enhancement techniques etc.) and incorporating underlying surface characteristics and satellite data.</p>
      <p id="d2e3841">A detailed description of the CNPS-Met dataset is provided in Table 2.</p>
      <p id="d2e3844">The file name for CNPS-Met follows the pattern: CNPS_Type_History_Daily_Variable_CCYY.nc, and all times are in Coordinated Universal Time (UTC). In this naming convention: “Type” is an abbreviation for meteorological variables and for the generation side, grid side, and demand side of the new power system, represented respectively by “Meteo”, “Generation”, “Grid”, and “Demand”, respectively; “Variable” is an abbreviation for the variable name; “CCYY” represents the year (e.g., <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mn mathvariant="normal">1980</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1981</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">…</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e3863">The meteorological variables include: <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">as</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2 m mean temperature), <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2 m maximum temperature), <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2 m minimum temperature), precip (accumulated precipitation), wind (10 m mean wind speed), <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">hum</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2 m mean relative humidity), <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi mathvariant="normal">hum</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2 m mean specific humidity), pres (mean surface pressure). The high-impact weather on the generation side includes: <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (cut-out wind speed), <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">in</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (cut-in wind speed), <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mtext>Low</mml:mtext><mml:mtext>rad</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (low radiation), <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">maxg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (extreme high temperature), <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">ming</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (extreme low temperature). The high-impact weather on the grid-side includes: Icing (ice accretion), Snowing (snowfall), Galloping (conductor galloping). The high-impact weather on the demand-side includes <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">maxd</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (extreme high temperature), <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">mind</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (extreme low temperature), and HHE (heat and humid environment).</p>
</sec>

      
      </body>
    <back><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4004">FZ: data curation, conceptualization, methodology, writing – original draft, writing – review and editing. KB: methodology, data analysis and visualization, writing – review and editing. XC: project administration, funding acquisition, writing – review and editing. YY: supervision, writing – review and editing, project. FY: project administration, funding acquisition. CW: supervision, conceptualization, writing – review and editing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4010">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e4016">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4022">This study is supported by the National Science Foundation of China (grant no. 42275004), the Key Research and Development Program of Gansu Province of China (grant no. 23YFFA0001), and the Fundamental Research Funds for the Central Universities (grant no. lzujbky-2024-ey08).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4028">This paper was edited by Guanyu Huang and reviewed by two anonymous referees.</p>
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