{"id":43377,"date":"2026-09-12T15:58:06","date_gmt":"2026-09-12T13:58:06","guid":{"rendered":"https:\/\/fvcomponentes.com\/calculadora-paneles-serie-paralelo\/"},"modified":"2026-09-12T16:23:36","modified_gmt":"2026-09-12T14:23:36","slug":"rechner-fur-serielle-und-parallele-module","status":"publish","type":"page","link":"https:\/\/fvcomponentes.com\/de\/calculadora-paneles-serie-paralelo\/","title":{"rendered":"Rechner f\u00fcr Reihen- und Parallelschaltungen von Solarmodulen mit MPPT-Validierung (Fronius und Victron)"},"content":{"rendered":"\n<style>\n.fvt{max-width:980px;margin:0 auto;font-size:16px}\n.fvt .card{background:#fff;border:1px solid #E3E9EF;border-radius:16px;padding:22px;margin:0 0 22px;box-shadow:0 1px 3px rgba(10,76,122,.06)}\n.fvt h2{color:#0A4C7A;font-size:22px;margin:0 0 14px;padding-bottom:8px;position:relative}\n.fvt h2::after{content:\"\";position:absolute;left:0;bottom:0;width:46px;height:3px;background:#EF6B16}\n.fvt .grid{display:grid;grid-template-columns:repeat(auto-fit,minmax(220px,1fr));gap:14px}\n.fvt label{display:block;font-size:13px;color:#4B5563;margin-bottom:4px;font-weight:600}\n.fvt input,.fvt select{width:100%;padding:10px 12px;border:1px solid #D1D5DB;border-radius:10px;font-size:15px;background:#fff}\n.fvt .btn{display:inline-block;background:#EF6B16;color:#fff;border:0;padding:12px 24px;border-radius:12px;font-weight:600;cursor:pointer;margin-top:16px;font-size:16px}\n.fvt .res{background:#F5F8FB;border-radius:12px;padding:18px;margin-top:18px;display:none}\n.fvt .res.on{display:block}\n.fvt .big{font-size:30px;font-weight:800;color:#0A4C7A}\n.fvt .ok{color:#15803D;font-weight:600}.fvt .ko{color:#B91C1C;font-weight:600}.fvt .warn{color:#B45309;font-weight:600}\n.fvt table{width:100%;border-collapse:collapse;margin-top:10px;font-size:14px}\n.fvt th{background:#0A4C7A;color:#fff;text-align:left;padding:8px}.fvt td{padding:8px;border-bottom:1px solid #EEF2F6}\n.fvt small{color:#6B7280}\n.fvt .cta{margin-top:24px;background:#0A4C7A;color:#fff;border-radius:16px;padding:22px;text-align:center}\n.fvt .cta a{display:inline-block;margin:8px 6px 0;background:#EF6B16;color:#fff;padding:10px 20px;border-radius:12px;text-decoration:none;font-weight:600}\n<\/style><div class=\"fvt\">\n<div class=\"card\"><p>Introduce los datos del panel y la configuraci\u00f3n del string y comprueba si es <strong>compatible con tu inversor Fronius o regulador Victron SmartSolar<\/strong>: tensi\u00f3n m\u00e1xima en fr\u00edo, tensi\u00f3n m\u00ednima de arranque en caliente y corriente m\u00e1xima del MPPT. Evita el error m\u00e1s caro en fotovoltaica: pasarte de tensi\u00f3n.<\/p><\/div>\n<div class=\"card\"><h2>Panel<\/h2><div class=\"grid\">\n<div><label>Potencia Pmax (W)<\/label><input id=\"s_p\" type=\"number\" value=\"450\"><\/div>\n<div><label>Voc (V)<\/label><input id=\"s_voc\" type=\"number\" value=\"49.5\" step=\"0.1\"><\/div>\n<div><label>Vmp (V)<\/label><input id=\"s_vmp\" type=\"number\" value=\"41.5\" step=\"0.1\"><\/div>\n<div><label>Isc (A)<\/label><input id=\"s_isc\" type=\"number\" value=\"13.9\" step=\"0.01\"><\/div>\n<div><label>Coef. temperatura Voc (%\/\u00b0C)<\/label><input id=\"s_kv\" type=\"number\" value=\"-0.27\" step=\"0.01\"><\/div>\n<div><label>Coef. temperatura Pmax\/Vmp (%\/\u00b0C)<\/label><input id=\"s_kp\" type=\"number\" value=\"-0.34\" step=\"0.01\"><\/div>\n<\/div>\n<h2 style=\"margin-top:22px\">Configuraci\u00f3n<\/h2><div class=\"grid\">\n<div><label>Paneles en serie por string<\/label><input id=\"s_ns\" type=\"number\" value=\"10\"><\/div>\n<div><label>Strings en paralelo (por MPPT)<\/label><input id=\"s_np\" type=\"number\" value=\"1\"><\/div>\n<div><label>Temperatura m\u00ednima ambiente (\u00b0C)<\/label><input id=\"s_tmin\" type=\"number\" value=\"-5\"><\/div>\n<div><label>Temperatura m\u00e1xima de c\u00e9lula (\u00b0C)<\/label><input id=\"s_tmax\" type=\"number\" value=\"70\"><\/div>\n<div><label>Inversor \/ regulador<\/label><select id=\"s_inv\"><\/select><\/div>\n<div><label>Tensi\u00f3n de bater\u00eda (solo Victron)<\/label><select id=\"s_vb\"><option value=\"12\">12 V<\/option><option value=\"24\">24 V<\/option><option value=\"48\" selected>48 V<\/option><\/select><\/div>\n<\/div><button class=\"btn\" onclick=\"calcSP()\">Comprobar configuraci\u00f3n<\/button>\n<div class=\"res\" id=\"s_res\"><\/div><\/div>\n<div class=\"card\"><h2>Las tres reglas del string<\/h2>\n<ol><li><strong>Voc en fr\u00edo nunca por encima de la tensi\u00f3n m\u00e1xima del equipo.<\/strong> La tensi\u00f3n sube cuando baja la temperatura: a -5 \u00b0C un panel de 49,5 V puede dar m\u00e1s de 53 V. Superar el m\u00e1ximo (1000 V en Primo\/Symo, 600 V en Primo GEN24, 100\/150\/250 V en SmartSolar) da\u00f1a el equipo y anula la garant\u00eda.<\/li>\n<li><strong>Vmp en caliente por encima de la tensi\u00f3n m\u00ednima.<\/strong> En verano el panel pierde tensi\u00f3n; si el string queda por debajo del m\u00ednimo (o de Vbat + 5 V en Victron) el equipo deja de cargar a mediod\u00eda.<\/li>\n<li><strong>Corriente dentro del MPPT.<\/strong> Cada entrada MPPT admite una corriente m\u00e1xima; con paneles actuales de 13-15 A, muchos MPPT solo aceptan un string por entrada.<\/li><\/ol>\n<p>M\u00e1s ayuda: <a href=\"https:\/\/fvcomponentes.com\/mppt-calculator-calculadora-mppt\/\">calculadora MPPT Victron<\/a>, <a href=\"https:\/\/fvcomponentes.com\/como-elegir-regulador-mppt-victron\/\">c\u00f3mo elegir regulador MPPT<\/a> y <a href=\"https:\/\/fvcomponentes.com\/inversor-fronius-no-produce-que-revisar\/\">c\u00f3digos 307 y 309\/313 en Fronius<\/a>.<\/p><\/div>\n<div class=\"cta\"><strong>\u00bfDudas con el resultado?<\/strong><br>Nuestro soporte t\u00e9cnico es gratuito para clientes.<br><a href=\"https:\/\/fvcomponentes.com\/categoria-producto\/reguladores-de-carga-solares\/reguladores-mppt\/\">Reguladores MPPT<\/a><a href=\"https:\/\/fvcomponentes.com\/categoria-producto\/inversores\/\">Inversores<\/a><a href=\"https:\/\/fvcomponentes.com\/soporte-tecnico\/\">Soporte t\u00e9cnico<\/a><\/div>\n<\/div>\n<script>\nconst INV=[\n {n:'Fronius Primo 3.0-8.2 (SnapINverter)',vmax:1000,vmin:80,imax:18,mppt:2,type:'grid'},\n {n:'Fronius Symo 3.0-8.2',vmax:1000,vmin:200,imax:16,mppt:2,type:'grid'},\n {n:'Fronius Symo 10-20',vmax:1000,vmin:200,imax:33,mppt:2,type:'grid'},\n {n:'Fronius Primo GEN24 3-6 Plus',vmax:600,vmin:65,imax:22,mppt:2,type:'grid'},\n {n:'Fronius Symo GEN24 6-10 Plus',vmax:1000,vmin:65,imax:22,mppt:2,type:'grid'},\n {n:'Victron SmartSolar 75\/xx',vmax:75,imax:0,pv:[300,400,0,0],type:'mppt'},\n {n:'Victron SmartSolar 100\/20',vmax:100,imax:0,pv:[290,580,1160,0],type:'mppt'},\n {n:'Victron SmartSolar 100\/30',vmax:100,imax:0,pv:[440,880,0,0],type:'mppt'},\n {n:'Victron SmartSolar 100\/50',vmax:100,imax:0,pv:[700,1400,0,0],type:'mppt'},\n {n:'Victron SmartSolar 150\/35',vmax:150,imax:0,pv:[500,1000,2000,0],type:'mppt'},\n {n:'Victron SmartSolar 150\/45',vmax:150,imax:0,pv:[650,1300,2600,0],type:'mppt'},\n {n:'Victron SmartSolar 150\/60',vmax:150,imax:0,pv:[860,1720,3440,0],type:'mppt'},\n {n:'Victron SmartSolar 150\/70',vmax:150,imax:0,pv:[1000,2000,4000,0],type:'mppt'},\n {n:'Victron SmartSolar 150\/85',vmax:150,imax:0,pv:[1200,2400,4900,0],type:'mppt'},\n {n:'Victron SmartSolar 150\/100',vmax:150,imax:0,pv:[1450,2900,5800,0],type:'mppt'},\n {n:'Victron SmartSolar 250\/60',vmax:250,imax:0,pv:[860,1720,3440,0],type:'mppt'},\n {n:'Victron SmartSolar 250\/70',vmax:250,imax:0,pv:[1000,2000,4000,0],type:'mppt'},\n {n:'Victron SmartSolar 250\/85',vmax:250,imax:0,pv:[1200,2400,4900,0],type:'mppt'},\n {n:'Victron SmartSolar 250\/100',vmax:250,imax:0,pv:[1450,2900,5800,0],type:'mppt'},\n {n:'Victron RS 450\/100 y 450\/200',vmax:450,vmin:120,imax:18,mppt:2,type:'grid'},\n {n:'Otro (introduce l\u00edmites a mano)',vmax:0,type:'custom'},\n];\nINV.forEach((i,k)=>{const o=document.createElement('option');o.value=k;o.textContent=i.n;s_inv.appendChild(o);});\nfunction calcSP(){\n const P=+s_p.value,voc=+s_voc.value,vmp=+s_vmp.value,isc=+s_isc.value,kv=+s_kv.value\/100,kp=+s_kp.value\/100;\n const ns=+s_ns.value,np=+s_np.value,tmin=+s_tmin.value,tmax=+s_tmax.value,inv=INV[+s_inv.value],vb=+s_vb.value;\n const vocC=voc*(1+kv*(tmin-25))*ns, vmpH=vmp*(1+kp*(tmax-25))*ns, vmpS=vmp*ns, iscT=isc*np*1.25, pw=P*ns*np, imp=P\/vmp*np;\n let rows=[],ok=true;\n const add=(t,v,lim,good,msg)=>{rows.push(`<tr><td>${t}<\/td><td>${v}<\/td><td>${lim}<\/td><td class=\"${good?'ok':'ko'}\">${good?'OK':'NO'} ${msg||''}<\/td><\/tr>`);if(!good)ok=false;};\n if(inv.type==='custom'){\n   const vmax=+prompt('Tensi\u00f3n m\u00e1xima DC admisible del equipo (V):',600)||0; const imax=+prompt('Corriente m\u00e1xima por MPPT (A):',20)||0; const vmin=+prompt('Tensi\u00f3n m\u00ednima de arranque (V):',80)||0;\n   add('Voc en fr\u00edo (' + tmin + ' \u00b0C)',vocC.toFixed(1)+' V','\u2264 '+vmax+' V',vocC<=vmax);\n   add('Vmp en caliente (' + tmax + ' \u00b0C)',vmpH.toFixed(1)+' V','\u2265 '+vmin+' V',vmpH>=vmin);\n   add('Isc \u00d7 1,25 \u00d7 strings',iscT.toFixed(1)+' A','\u2264 '+imax+' A',iscT<=imax);\n } else if(inv.type==='grid'){\n   add('Voc en fr\u00edo (' + tmin + ' \u00b0C)',vocC.toFixed(1)+' V','\u2264 '+inv.vmax+' V',vocC<=inv.vmax,vocC>inv.vmax?'\u2014 quita paneles del string':'');\n   add('Vmp en caliente (' + tmax + ' \u00b0C)',vmpH.toFixed(1)+' V','\u2265 '+inv.vmin+' V',vmpH>=inv.vmin,vmpH<inv.vmin?'\u2014 a\u00f1ade paneles al string':'');\n   add('Corriente por MPPT (Isc \u00d7 strings)',(isc*np).toFixed(1)+' A','\u2264 '+inv.imax+' A',isc*np<=inv.imax,'(Fronius admite Isc nominal; con 1,25 = '+iscT.toFixed(1)+' A)');\n } else {\n   const vmax=inv.vmax, vminReq=vb+5, idx={12:0,24:1,48:2}[vb], pvmax=inv.pv[idx];\n   add('Voc en fr\u00edo (' + tmin + ' \u00b0C)',vocC.toFixed(1)+' V','\u2264 '+vmax+' V',vocC<=vmax,vocC>vmax?'\u2014 quita paneles del string':'');\n   add('Vmp en caliente (' + tmax + ' \u00b0C)',vmpH.toFixed(1)+' V','\u2265 '+vminReq+' V (Vbat + 5 V)',vmpH>=vminReq,vmpH<vminReq?'\u2014 pon m\u00e1s paneles en serie':'');\n   if(pvmax>0) add('Potencia FV instalada',pw+' W','\u2264 '+pvmax+' W a '+vb+' V (nominal)',pw<=pvmax*1.3,pw>pvmax?(pw<=pvmax*1.3?'\u2014 sobredimensionado hasta 30 %: el regulador limitar\u00e1':'\u2014 excesivo'):'');\n   else add('Potencia FV a '+vb+' V','\u2014','no admitido',false,'este regulador no trabaja a '+vb+' V');\n   rows.push(`<tr><td>Isc total \u00d7 1,25<\/td><td>${iscT.toFixed(1)} A<\/td><td>Isc m\u00e1x. seg\u00fan ficha (habitual 35-70 A)<\/td><td class=\"warn\">Comprobar<\/td><\/tr>`);\n }\n s_res.innerHTML=`<div class=\"${ok?'ok':'ko'}\" style=\"font-size:22px\">${ok?'Configuraci\u00f3n compatible':'Configuraci\u00f3n NO compatible'}<\/div>\n <p>${ns} paneles en serie \u00d7 ${np} strings = <strong>${ns*np} paneles, ${pw} Wp<\/strong>. Vmp en STC: ${vmpS.toFixed(1)} V \u00b7 Imp total: ${imp.toFixed(1)} A.<\/p>\n <table><thead><tr><th>Comprobaci\u00f3n<\/th><th>Valor<\/th><th>L\u00edmite<\/th><th>Resultado<\/th><\/tr><\/thead><tbody>${rows.join('')}<\/tbody><\/table>\n <p><small>Los l\u00edmites de cada equipo son orientativos y corresponden a los modelos m\u00e1s habituales; confirma siempre con la ficha t\u00e9cnica de tu modelo exacto (rango MPPT, Isc m\u00e1x. y tensi\u00f3n m\u00e1xima). En Fronius, el rango \u00fatil del MPPT empieza por encima de la tensi\u00f3n de arranque; para m\u00e1ximo rendimiento apunta a Vmp entre 400 y 700 V.<\/small><\/p>`;\n s_res.classList.add('on');\n}\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Introduce los datos del panel y la configuraci\u00f3n del string y comprueba si es compatible con tu inversor Fronius o regulador Victron SmartSolar: tensi\u00f3n m\u00e1xima en fr\u00edo, tensi\u00f3n m\u00ednima de arranque en caliente y corriente m\u00e1xima del MPPT. Evita el error m\u00e1s caro en fotovoltaica: pasarte de tensi\u00f3n. Panel Potencia Pmax (W) Voc (V) Vmp [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-43377","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/pages\/43377","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/comments?post=43377"}],"version-history":[{"count":1,"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/pages\/43377\/revisions"}],"predecessor-version":[{"id":43387,"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/pages\/43377\/revisions\/43387"}],"wp:attachment":[{"href":"https:\/\/fvcomponentes.com\/de\/wp-json\/wp\/v2\/media?parent=43377"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}