{"id":31012,"date":"2025-02-12T07:34:14","date_gmt":"2025-02-12T07:34:14","guid":{"rendered":"https:\/\/luxmanlight.com\/?p=31012"},"modified":"2025-02-12T07:34:14","modified_gmt":"2025-02-12T07:34:14","slug":"schlusselformeln-fur-das-design-von-solar-strasenlaternen","status":"publish","type":"post","link":"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/","title":{"rendered":"Schl\u00fcsselformeln f\u00fcr das Design von Solar-Stra\u00dfenlaternen"},"content":{"rendered":"<p>This article summarizes essential formulas commonly used in solar street light design, integrating national standards and practical case studies from various papers:<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_80 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#1_Average_Road_Illuminance_Calculation\" >1. Average Road Illuminance Calculation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#2_Solar_Panel_Power_Calculation\" >2. Solar Panel Power Calculation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#3_Battery_Capacity_Calculation\" >3. Battery Capacity Calculation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#4_Solar_Panel_Installation_Angle\" >4. Solar Panel Installation Angle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#5_Wind_Pressure_on_Solar_Panels\" >5. Wind Pressure on Solar Panels<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#6_Component_Operating_Voltage_Correction_Temperature_Effect\" >6. Component Operating Voltage Correction (Temperature Effect)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#7_Voltage_Drop_Compensation_Due_to_Temperature\" >7. Voltage Drop Compensation Due to Temperature<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#8_Solar_Panel_Capacity_Optimization_Design\" >8. Solar Panel Capacity Optimization Design<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/luxmanlight.com\/de\/key-formulas-for-solar-street-light-design\/#9_Typical_Design_Parameter_Comparison_Table\" >9. Typical Design Parameter Comparison Table<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"1_Average_Road_Illuminance_Calculation\"><\/span>1. Average Road Illuminance Calculation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Formula:<\/strong><br \/>\nEavg = <span style=\"white-space: nowrap;\">(N \u00d7 \u03a6 \u00d7 U \u00d7 K) \/ A<\/span><\/p>\n<ul>\n<li><strong>Parameter Description:<\/strong>\n<ul>\n<li>N: Number of fixtures<\/li>\n<li>\u03a6: Total luminous flux per lamp (lm)<\/li>\n<li>U: Utilization factor (0.4-0.6)<\/li>\n<li>K: Maintenance factor (0.7-0.8)<\/li>\n<li>A: Road area (m2) = Road width \u00d7 Lamp spacing<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Example:<\/strong><br \/>\n6m wide road, lamp spacing 30m, using 10,000 lm LED, one-sided lighting:<br \/>\nEavg \u2248 <span style=\"white-space: nowrap;\">(1 \u00d7 10,000 \u00d7 0.5 \u00d7 0.75) \/ (6 \u00d7 30) \u2248 20.8 lx<\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-30958 aligncenter\" src=\"https:\/\/luxmanlight.com\/wp-content\/uploads\/2025\/02\/image@1x-1.webp\" alt=\"Solar street light design\" width=\"820\" height=\"500\" srcset=\"https:\/\/luxmanlight.com\/wp-content\/uploads\/2025\/02\/image@1x-1.webp 820w, https:\/\/luxmanlight.com\/wp-content\/uploads\/2025\/02\/image@1x-1-300x183.webp 300w, https:\/\/luxmanlight.com\/wp-content\/uploads\/2025\/02\/image@1x-1-768x468.webp 768w, https:\/\/luxmanlight.com\/wp-content\/uploads\/2025\/02\/image@1x-1-18x12.webp 18w, https:\/\/luxmanlight.com\/wp-content\/uploads\/2025\/02\/image@1x-1-705x430.webp 705w\" sizes=\"(max-width: 820px) 100vw, 820px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"2_Solar_Panel_Power_Calculation\"><\/span>2. Solar Panel Power Calculation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Formula:<\/strong><br \/>\nPpv = <span style=\"white-space: nowrap;\">Qday \/ (Hpeak \u00d7 \u03b7sys)<\/span><\/p>\n<ul>\n<li><strong>Parameter Description:<\/strong>\n<ul>\n<li>Qday = PLED \u00d7 Twork (Daily energy consumption, Wh)<\/li>\n<li>Hpeak: Local annual average peak sunlight hours (check meteorological data, e.g., Beijing 4.5h)<\/li>\n<li>\u03b7sys: System efficiency (0.6-0.75, including line losses, controller losses)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Example:<\/strong><br \/>\nLoad power 80W, daily operation 10h, Shanghai Hpeak=3.8h:<br \/>\nPpv \u2248 <span style=\"white-space: nowrap;\">(80 \u00d7 10) \/ (3.8 \u00d7 0.65) \u2248 324 W<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"3_Battery_Capacity_Calculation\"><\/span>3. Battery Capacity Calculation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Formula:<\/strong><br \/>\nC = <span style=\"white-space: nowrap;\">(Qday \u00d7 D) \/ (DOD \u00d7 \u03b7bat \u00d7 Vsys)<\/span><\/p>\n<ul>\n<li><strong>Parameter Description:<\/strong>\n<ul>\n<li>D: Number of consecutive cloudy days (usually 3-5 days)<\/li>\n<li>DOD: Depth of discharge (0.5 for lead-acid batteries, 0.8 for lithium batteries)<\/li>\n<li>\u03b7bat: Charge\/discharge efficiency (0.85-0.95)<\/li>\n<li>Vsys: System voltage (12V\/24V)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Example:<\/strong><br \/>\nDaily consumption 800Wh, 24V system, 3 days backup, lithium battery:<br \/>\nC \u2248 <span style=\"white-space: nowrap;\">(800 \u00d7 3) \/ (0.8 \u00d7 0.9 \u00d7 24) \u2248 138.9 Ah \u2192 Choose 150Ah battery<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"4_Solar_Panel_Installation_Angle\"><\/span>4. Solar Panel Installation Angle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Formula:<\/strong><br \/>\n\u03b8 = \u03c6 + (5\u00b0 to 15\u00b0)<\/p>\n<ul>\n<li><strong>Parameter Description:<\/strong>\n<ul>\n<li>\u03c6: Local geographical latitude<\/li>\n<li>Winter optimization: latitude +10\u00b0~15\u00b0, summer optimization: latitude -5\u00b0<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Example:<\/strong><br \/>\nNanjing latitude 32\u00b0, fixed bracket tilt angle set at 37\u00b0 (32\u00b0+5\u00b0) to improve winter power generation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"5_Wind_Pressure_on_Solar_Panels\"><\/span>5. Wind Pressure on Solar Panels<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Formula:<\/strong><br \/>\nF = <span style=\"white-space: nowrap;\">0.61 \u00d7 v2 \u00d7 A<\/span><\/p>\n<ul>\n<li><strong>Parameter Description:<\/strong>\n<ul>\n<li>v: Maximum wind speed (m\/s)<\/li>\n<li>A: Wind-facing area of the photovoltaic panel (m2)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Example:<\/strong><br \/>\nPanel area 2m2, design wind speed 30m\/s:<br \/>\nF = <span style=\"white-space: nowrap;\">0.61 \u00d7 (30)2 \u00d7 2 = 1098 N<\/span><br \/>\nNeed to verify the wind resistance of the lamp pole and foundation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"6_Component_Operating_Voltage_Correction_Temperature_Effect\"><\/span>6. Component Operating Voltage Correction (Temperature Effect)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Formula:<\/strong><br \/>\nVmp = <span style=\"white-space: nowrap;\">Vmp(STC) \u00d7 [1 + \u03b1 \u00d7 (T &#8211; 25)]<\/span><\/p>\n<ul>\n<li><strong>Parameter Description:<\/strong>\n<ul>\n<li>\u03b1: Temperature coefficient (approximately -0.35%\/\u00b0C for monocrystalline silicon)<\/li>\n<li>T: Actual operating temperature (\u00b0C)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><strong>Example:<\/strong><br \/>\nNominal component voltage 18V, operating temperature 60\u00b0:<br \/>\nVmp \u2248 <span style=\"white-space: nowrap;\">18 \u00d7 [1 &#8211; 0.0035 \u00d7 (60-25)] \u2248 15.3 V<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"7_Voltage_Drop_Compensation_Due_to_Temperature\"><\/span>7. Voltage Drop Compensation Due to Temperature<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Formula:<\/strong><br \/>\n\u0394V = <span style=\"white-space: nowrap;\">Nseries \u00d7 \u03b1 \u00d7 \u0394T \u00d7 Vmp(STC)<\/span><\/p>\n<p><strong>Example:<\/strong><br \/>\n3 series-connected components, each Vmp=30V, temperature difference 35\u00b0:<br \/>\n\u0394V \u2248 <span style=\"white-space: nowrap;\">3 \u00d7 (-0.0035) \u00d7 35 \u00d7 30 \u2248 -11V<\/span><br \/>\nNeed to adjust the MPPT voltage range.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"8_Solar_Panel_Capacity_Optimization_Design\"><\/span>8. Solar Panel Capacity Optimization Design<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Empirical Formula:<\/strong><br \/>\nPpv(opt) = <span style=\"white-space: nowrap;\">1.2 \u00d7 Ppv<\/span><\/p>\n<ul>\n<li>Consider shadowing, dust loss (efficiency reduction of 10-20%)<\/li>\n<li>When paralleling multiple components, increase bypass diodes to reduce hotspot effects.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"9_Typical_Design_Parameter_Comparison_Table\"><\/span>9. Typical Design Parameter Comparison Table<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"scrollable-table-container\">\n<table>\n<tbody>\n<tr>\n<th>Parameter<\/th>\n<th>Reference Value<\/th>\n<th>Standard Basis<\/th>\n<\/tr>\n<tr>\n<td>Illuminance uniformity U0<\/td>\n<td>\u22650.4 (main road)<\/td>\n<td>CJJ45-2015 Road Lighting Standards<\/td>\n<\/tr>\n<tr>\n<td>Component tilt angle error<\/td>\n<td>\u2264\u00b13\u00b0<\/td>\n<td>GB\/T 9535 Photovoltaic Module Standards<\/td>\n<\/tr>\n<tr>\n<td>Battery cycle life<\/td>\n<td>\u22651500 times (lithium battery)<\/td>\n<td>GB\/T 22473 Energy Storage Standards<\/td>\n<\/tr>\n<tr>\n<td>Wind resistance rating<\/td>\n<td>\u226512 levels (33m\/s)<\/td>\n<td>GB 50009 Building Load Code<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><strong>Note:<\/strong> Actual design should be combined with PVsyst simulations and DIALux lighting simulations, and validated through field tests.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This article summarizes essential formulas commonly used in solar street light design, integrating national standards and practical case studies from 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