{"id":233,"date":"2025-09-21T07:03:52","date_gmt":"2025-09-21T05:03:52","guid":{"rendered":"https:\/\/luminvolt.com\/?p=233"},"modified":"2026-08-15T16:58:48","modified_gmt":"2026-08-15T08:58:48","slug":"determining-wind-snow-load-combination-factors-for-pv-panels","status":"publish","type":"post","link":"https:\/\/luminvolt.com\/zh\/determining-wind-snow-load-combination-factors-for-pv-panels\/","title":{"rendered":"Determining Wind &amp; Snow Load Combination Factors for PV Panels"},"content":{"rendered":"<style>\n    .sfm {\n      --brand: #049f82;\n      --brand-600: #038a70;\n      --brand-700: #027560;\n      --ink: #1d2630;\n      --muted: #5b6876;\n      --bg: #f6faf9;\n      --card: #ffffff;\n      --line: #e6eeec;\n      --ok: #0aa36c;\n      --warn: #e3a008;\n      --bad: #d64545;\n\n      font-family: system-ui, -apple-system, Segoe UI, Roboto, Helvetica, Arial, \"Apple Color Emoji\", \"Segoe UI Emoji\";\n      color: var(--ink);\n      line-height: 1.6;\n      background-color: var(--bg); \/* Added for full page context *\/\n    }\n\n    \/* Layout helpers *\/\n    .sfm * { box-sizing: border-box; }\n    .sfm a { color: var(--brand); text-decoration: none; }\n    .sfm a:hover { text-decoration: underline; }\n    .sfm .sfm-wrap { max-width: 1080px; margin: 0 auto; padding: 24px; }\n    .sfm .sr-only { position: absolute; width: 1px; height: 1px; padding: 0; margin: -1px; overflow: hidden; clip: rect(0,0,0,0); white-space: nowrap; border: 0; }\n\n    \/* Headings *\/\n    .sfm .sfm-hero-title,.sfm h2,.sfm h3 { margin: 0 0 .6em; line-height: 1.25; font-weight: 700; }\n    .sfm .sfm-hero-title { font-size: clamp(28px, 5vw, 40px); letter-spacing: -0.02em; }\n    .sfm h2 { font-size: clamp(22px, 3.8vw, 28px); letter-spacing: -0.01em; }\n    .sfm h3 { font-size: clamp(18px, 3vw, 22px); }\n    \n    \/* General content styling *\/\n    .sfm p { max-width: 75ch; }\n    .sfm figure { margin: 1em 0; }\n    .sfm img { max-width: 100%; height: auto; border-radius: 8px; border: 1px solid var(--line); }\n\n    \/* Hero *\/\n    .sfm .sfm-hero {\n      background: radial-gradient(1200px 400px at 10% 0%, rgba(4,159,130,.12), transparent),\n                  linear-gradient(180deg, rgba(4,159,130,.08), rgba(4,159,130,.02));\n      border: 1px solid var(--line);\n      border-radius: 16px;\n      padding: 28px;\n    }\n    .sfm .sfm-eyebrow {\n      display: inline-flex; align-items: center; gap: 8px;\n      font-size: 13px; color: var(--brand-700); background: rgba(4,159,130,.10);\n      border: 1px solid rgba(4,159,130,.25); padding: 6px 10px; border-radius: 999px; font-weight: 600;\n    }\n    .sfm .sfm-sub {\n      color: var(--muted);\n      max-width: 66ch;\n      margin-top: 8px;\n    }\n\n    \/* Sections & cards *\/\n    .sfm .sfm-section { margin-top: 32px; padding-top: 16px; border-top: 1px solid var(--line); }\n    .sfm .sfm-grid { display: grid; gap: 14px; }\n    .sfm .sfm-2 { grid-template-columns: repeat(2,1fr); }\n    .sfm .sfm-3 { grid-template-columns: repeat(3,1fr); }\n    .sfm .sfm-card {\n      background: var(--card); border: 1px solid var(--line); border-radius: 14px; padding: 18px;\n    }\n    .sfm .sfm-note {\n      background: rgba(4,159,130,.06); border-left: 3px solid var(--brand);\n      padding: 12px 14px; border-radius: 10px; color: var(--brand-700);\n      margin-top: 16px;\n    }\n\n    \/* Lists *\/\n    .sfm ul { margin: 0; padding-left: 20px; }\n    .sfm .sfm-list-check { list-style: none; padding: 0; }\n    .sfm .sfm-list-check li { display: grid; grid-template-columns: 20px 1fr; gap: 10px; align-items: start; padding: 6px 0; }\n    .sfm .sfm-list-check svg { margin-top: 2px; color: var(--brand); }\n\n    \/* Brands grid (repurposed for tags\/captions) *\/\n    .sfm .sfm-tag { font-size: 13px; color: var(--muted); }\n\n    \/* Responsive *\/\n    @media (max-width: 880px) {\n      .sfm .sfm-2, .sfm .sfm-3 { grid-template-columns: 1fr; }\n    }\n  <\/style>\n\n<section class=\"sfm\">\n  <div class=\"sfm-wrap\">\n    <!-- Hero -->\n    <div class=\"sfm-hero\">\n      <span class=\"sfm-eyebrow\">Structural Engineering \u2014 Research Spotlight<\/span>\n      <h2 class=\"sfm-hero-title\">Determining Wind &#038; Snow Load Combination Factors for PV Panels<\/h2>\n      <p class=\"sfm-sub\">\n        As the global PV industry expands, the structural integrity of solar arrays becomes critical. Lightweight PV systems are uniquely vulnerable to failure from combined wind and snow loads. However, most design codes lack specific guidance for these structures. This study establishes a data-driven load combination factor to improve the safety and reliability of PV system design.\n      <\/p>\n    <\/div>\n\n    <!-- Methodology -->\n    <section class=\"sfm-section\" id=\"methodology\">\n      <h2>Research Methodology<\/h2>\n      <p>To derive a reliable combination factor, this study followed a multi-stage process. First, a multi-layer snowmelt model was used to simulate ground snow pressure in representative cities across the country. Next, four distinct methods were employed to create data pairs of corresponding wind speeds and snow pressures. These datasets were fitted with various probability models to identify the best fit for establishing combined wind-snow hazard contour lines for a given return period. The resulting load combinations were then applied to a Finite Element (FEA) model of a PV tracker to analyze structural load effects. Finally, these load effects were used to calculate the definitive wind and snow load combination factor.<\/p>\n      <figure>\n        <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-1.png\" alt=\"Flowchart of the calculation process for the wind and snow load combination factor.\" \/>\n        <figcaption class=\"sfm-tag\" style=\"text-align: center; margin-top: 8px;\"><strong>Figure 1:<\/strong> Calculation process for the wind-snow load combination factor.<\/figcaption>\n      <\/figure>\n    <\/section>\n\n    <!-- Modeling & Data Acquisition -->\n    <section class=\"sfm-section\" id=\"modeling-data\">\n      <h2>Modeling &#038; Data Acquisition<\/h2>\n      <div class=\"sfm-grid sfm-2\">\n        <div class=\"sfm-card\">\n          <h3>Multi-Layer Snowmelt Model<\/h3>\n          <p>Structural snow loads in design codes are derived from ground snow pressure. Since many meteorological stations only record snow depth, this study used a multi-layer snowmelt model. By inputting weather data like precipitation, temperature, and wind speed, the model simulates the accumulation and melting processes to accurately calculate ground snow pressure throughout the winter season.<\/p>\n           <figure style=\"margin-top:12px;\">\n             <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-2.png\" alt=\"Diagram showing energy and mass exchange in the snowmelt model.\" \/>\n             <figcaption class=\"sfm-tag\" style=\"text-align: center; margin-top: 8px;\"><strong>Figure 2:<\/strong> Energy and mass exchange within the model.<\/figcaption>\n           <\/figure>\n        <\/div>\n\n        <div class=\"sfm-card\">\n          <h3>Data Pairing Methods<\/h3>\n          <p>Using the snowmelt model and historical weather data from 40 representative cities, four methods were used to generate wind speed and snow pressure data pairs for analysis:<\/p>\n          <ul class=\"sfm-list-check\">\n            <li><svg width=\"20\" height=\"20\" viewbox=\"0 0 24 24\" fill=\"currentColor\"><path d=\"M9 16.2l-3.5-3.6L4 14l5 5 11-11-1.5-1.4z\"\/><\/svg><div><strong>Method I:<\/strong> Max snow pressure and max wind speed between two consecutive snowfall events.<\/div><\/li>\n            <li><svg width=\"20\" height=\"20\" viewbox=\"0 0 24 24\" fill=\"currentColor\"><path d=\"M9 16.2l-3.5-3.6L4 14l5 5 11-11-1.5-1.4z\"\/><\/svg><div><strong>Method II:<\/strong> Max snow pressure between snowfalls and max wind speed within 3 days after a snowfall (when wind-induced drift is minimal).<\/div><\/li>\n            <li><svg width=\"20\" height=\"20\" viewbox=\"0 0 24 24\" fill=\"currentColor\"><path d=\"M9 16.2l-3.5-3.6L4 14l5 5 11-11-1.5-1.4z\"\/><\/svg><div><strong>Method III:<\/strong> Max snow pressure and max wind speed during a single, complete snow accumulation event.<\/div><\/li>\n            <li><svg width=\"20\" height=\"20\" viewbox=\"0 0 24 24\" fill=\"currentColor\"><path d=\"M9 16.2l-3.5-3.6L4 14l5 5 11-11-1.5-1.4z\"\/><\/svg><div><strong>Method IV:<\/strong> Absolute maximum ground snow pressure and wind speed over an entire winter.<\/div><\/li>\n          <\/ul>\n        <\/div>\n      <\/div>\n    <\/section>\n\n    <!-- Statistical Analysis -->\n    <section class=\"sfm-section\" id=\"analysis\">\n      <h2>Statistical Analysis &#038; Hazard Contours<\/h2>\n      <p>Three common probability distributions\u2014<strong>Gumbel (Extreme Value Type I)<\/strong>, <strong>Lognormal<\/strong>, and <strong>Generalized Extreme Value (GEV)<\/strong>\u2014were used to fit the wind speed and snow pressure samples from each city. The optimal probability model for each was selected using the Kolmogorov-Smirnov (K-S) test and Akaike Information Criterion (AIC). Linear regression analysis confirmed that the wind and snow samples were statistically independent, allowing their joint probability to be calculated with the following formula:<\/p>\n      <figure>\n        <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-5.png\" alt=\"Formula for joint probability of independent events F(v,s) = F(v)F(s).\" \/>\n      <\/figure>\n      <p>Using this principle, combined wind-snow hazard contour lines were plotted for a 25-year return period, which matches the typical design life of a PV system. The example below shows the contour lines for Urumqi, Xinjiang, based on the four data pairing methods.<\/p>\n      <figure>\n        <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-6.png\" alt=\"Graph of 25-year return period hazard contour lines for Urumqi.\" \/>\n        <figcaption class=\"sfm-tag\" style=\"text-align: center; margin-top: 8px;\"><strong>Figure 5:<\/strong> 25-year combined wind-snow hazard contours for Urumqi.<\/figcaption>\n      <\/figure>\n    <\/section>\n\n    <!-- FEA Modeling -->\n    <section class=\"sfm-section\" id=\"fea-modeling\">\n      <h2>FEA Modeling &#038; Load Scenarios<\/h2>\n      <p>The analysis was performed on an FEA model of a single-axis tracker, 100 meters long and 1.5 meters high, set at a 30\u00b0 tilt. The structure consists of a central torque tube (main beam) supported by 13 steel columns spaced 8 meters apart.<\/p>\n      <div class=\"sfm-grid sfm-2\">\n        <div class=\"sfm-card\">\n          <h3>Load Application<\/h3>\n          <p>Wind load creates both uniform pressure and torsion on the main beam. Snow load was assumed to be a uniformly distributed pressure. Two critical load combination scenarios were analyzed:<\/p>\n          <ul>\n            <li><strong>Case I:<\/strong> Wind Pressure + Snow Pressure (acting in the same direction).<\/li>\n            <li><strong>Case II:<\/strong> Wind Suction + Snow Pressure (acting in opposing directions).<\/li>\n          <\/ul>\n        <\/div>\n        <div class=\"sfm-card\">\n          <figure style=\"margin:0;\">\n            <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-7.png\" alt=\"FEA model of the single-axis tracker structure.\" \/>\n            <figcaption class=\"sfm-tag\" style=\"text-align: center; margin-top: 8px;\"><strong>Figure 6:<\/strong> Finite Element Model of the PV structure.<\/figcaption>\n          <\/figure>\n        <\/div>\n      <\/div>\n       <figure style=\"margin-top:14px;\">\n        <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-9.png\" alt=\"Diagram showing the two load combination cases.\" \/>\n        <figcaption class=\"sfm-tag\" style=\"text-align: center; margin-top: 8px;\"><strong>Figure 8:<\/strong> Wind and snow load combination scenarios.<\/figcaption>\n      <\/figure>\n    <\/section>\n\n    <!-- Results -->\n    <section class=\"sfm-section\" id=\"results\">\n      <h2>Load Effect Analysis<\/h2>\n      <p>The standard wind and snow loads were applied to the FEA model to calculate three key load effects: maximum column axial force (N_max), maximum main beam bending moment (M_max), and maximum main beam torsion (T_max). The results for Urumqi under Load Case I are shown below.<\/p>\n       <figure>\n        <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-11.png\" alt=\"Graphs showing load effects varying with wind and snow combinations.\" \/>\n        <figcaption class=\"sfm-tag\" style=\"text-align: center; margin-top: 8px;\"><strong>Figure 9:<\/strong> Load effects (axial force, bending moment, torsion) under Load Case I, derived from the four data pairing methods.<\/figcaption>\n      <\/figure>\n      <p class=\"sfm-note\"><strong>Key Finding:<\/strong> In Load Case I (wind and snow pressure), the effects are additive, requiring a load combination. In Load Case II (wind suction and snow pressure), the loads counteract each other, meaning a combination is not necessary as the individual loads represent the worst-case scenario.<\/p>\n    <\/section>\n\n    <!-- Combination Factors -->\n    <section class=\"sfm-section\" id=\"factors\">\n      <h2>Proposed Wind-Snow Load Combination Factor<\/h2>\n      <p>Assuming a linear relationship between static loads and their effects, the combination factor was calculated using the following formula:<\/p>\n      <figure>\n         <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-12.png\" alt=\"Formula for calculating the load combination factor.\" \/>\n      <\/figure>\n      <p>The factors were calculated for all 40 cities. The boxplot below shows the distribution of the results for Load Case I.<\/p>\n      <figure>\n        <img decoding=\"async\" src=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/image-13.png\" alt=\"Box plot of calculated combination factors for the 40 cities.\" \/>\n        <figcaption class=\"sfm-tag\" style=\"text-align: center; margin-top: 8px;\"><strong>Figure 10:<\/strong> Wind-snow load combination factors for Load Case I.<\/figcaption>\n      <\/figure>\n      <p>For column axial force, the mean combination factor was <strong>0.68<\/strong> across all methods. For the main beam bending moment, the mean values ranged from <strong>0.65 to 0.69<\/strong>. Based on these results, a conservative and practical combination factor is recommended.<\/p>\n    <\/section>\n\n    <!-- Conclusion -->\n    <section class=\"sfm-section\" id=\"conclusion\">\n      <h2>Conclusion &#038; Recommendation<\/h2>\n      <div class=\"sfm-card\">\n        <ul class=\"sfm-list-check\">\n          <li>\n            <svg width=\"20\" height=\"20\" viewbox=\"0 0 24 24\" fill=\"currentColor\"><path d=\"M9 16.2l-3.5-3.6L4 14l5 5 11-11-1.5-1.4z\"\/><\/svg>\n            <div>Load combination is necessary when wind and snow act as pressure simultaneously (Load Case I). When wind acts as suction, the loads oppose each other, and no combination is required.<\/div>\n          <\/li>\n          <li>\n            <svg width=\"20\" height=\"20\" viewbox=\"0 0 24 24\" fill=\"currentColor\"><path d=\"M9 16.2l-3.5-3.6L4 14l5 5 11-11-1.5-1.4z\"\/><\/svg>\n            <div>When designing a tracker for column axial force and main beam bending moment, a wind and snow load combination factor of <strong>0.7<\/strong> is recommended.<\/div>\n          <\/li>\n          <li>\n            <svg width=\"20\" height=\"20\" viewbox=\"0 0 24 24\" fill=\"currentColor\"><path d=\"M9 16.2l-3.5-3.6L4 14l5 5 11-11-1.5-1.4z\"\/><\/svg>\n            <div>Because main beam torsion is almost entirely dependent on wind load, a load combination for this effect is unnecessary.<\/div>\n          <\/li>\n        <\/ul>\n      <\/div>\n      <p class=\"sfm-tag\" style=\"margin-top:16px;\">Note: This study assumes uniform snow distribution and does not account for effects like wind-induced snow drifting, which may require further investigation for specific sites.<\/p>\n    <\/section>\n  <\/div>\n<\/section>\n\n<\/body>\n<\/html>\n\n\n\n<div class=\"wp-block-buttons alignwide is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-a51f1af4 wp-block-buttons-is-layout-flex\" style=\"border-style:none;border-width:0px;border-radius:2px;margin-top:0;margin-bottom:0\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-50 is-style-outline is-style-outline--1\"><a class=\"wp-block-button__link has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/luminvolt.com\/wp-content\/uploads\/2025\/09\/A-study-of-combination-factor-of-wind-and-snow-loads-on-photovoltaic-PV-panels-based-on-characterization-of-joint-wind-snow-hazard.pdf\">Download<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"background: linear-gradient(135deg, #f0f4f8 0%, #ffffff 100%); border: 1px solid #d8e0e7; border-radius: 8px; padding: 32px; margin: 40px 0; text-align: center; box-shadow: 0px 4px 16px rgba(16, 35, 56, 0.08);\">\n    <h3 style=\"margin-top: 0; color: #102338; font-size: 24px;\">Apply These Factors to Your Own Site<\/h3>\n    <p style=\"color: #4e6173; font-size: 16px; margin-bottom: 24px;\">Use our free interactive tool to estimate combined wind and snow design loads on your PV array, with the &psi; combination factors derived in this study built in.<\/p>\n    <div style=\"display:flex;flex-wrap:wrap;justify-content:center;gap:12px;\"><a href=\"https:\/\/luminvolt.com\/zh\/solar-panel-wind-snow-load-calculator\/\" style=\"display:inline-flex;min-height:54px;align-items:center;justify-content:center;gap:10px;padding:14px 24px;background:#0f4c81;color:#ffffff;text-decoration:none;border-radius:8px;font-weight:800;\">Open the Wind &amp; Snow Load Calculator<\/a><a href=\"https:\/\/luminvolt.com\/zh\/solar-tracker\/\" style=\"display:inline-flex;min-height:54px;align-items:center;justify-content:center;gap:10px;padding:14px 24px;border:1px solid #0f4c81;color:#0f4c81;text-decoration:none;border-radius:8px;font-weight:800;\">View Tracker Systems for Ground-Mounted Solar<\/a><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Structural Engineering \u2014 Research Spotlight Determining Wind &#038; Snow Load Combination Factors for PV Panels As the global PV industry expands, the structural integrity of solar arrays becomes critical. Lightweight PV systems are uniquely vulnerable to failure from combined wind and snow loads. However, most design codes lack specific guidance for these structures. This study &#8230; <a title=\"Determining Wind &amp; Snow Load Combination Factors for PV Panels\" class=\"read-more\" href=\"https:\/\/luminvolt.com\/zh\/determining-wind-snow-load-combination-factors-for-pv-panels\/\" aria-label=\"Read more about Determining Wind &amp; Snow Load Combination Factors for PV Panels\">Read more<\/a><\/p>","protected":false},"author":1,"featured_media":243,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-posts-no-title","format":"standard","meta":{"footnotes":""},"categories":[42],"tags":[],"class_list":["post-233","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-solar-fixed-mounting"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.3 (Yoast SEO v28.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Wind &#038; Snow Load Combination Factors for PV Panels<\/title>\n<meta name=\"description\" content=\"Learn how wind and snow load combination factors affect PV panel design, structural safety, and mounting system engineering for solar projects.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/luminvolt.com\/zh\/determining-wind-snow-load-combination-factors-for-pv-panels\/\" \/>\n<meta property=\"og:locale\" content=\"zh_TW\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Determining Wind &amp; 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