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Perez-POA(tilt 35°, az -90°)",1102.4384041857531,"kWh\u002Fm2","measured",{"label":646,"expression":647,"value":9,"unit":643,"provenance":644},"climateCalibration","POA × mean(2005–2023)\u002FTMY @ 35° S (× 0.929)",{"label":649,"expression":650,"value":651,"unit":643,"provenance":644},"azimuthSweep","Σ_8760h Perez-POA × 24 az @ tilt 35°",1308.0956017893454,{"label":653,"expression":654,"value":16,"unit":643,"provenance":644},"globalOptimum","argmax_{β,γ} H_a → β* 40°, γ* -4°",{"label":656,"expression":657,"value":10,"unit":658,"provenance":644},"relativeYield","H_a(β, γ) \u002F H_a(β*, γ*)","%",[],[661,664,667,670,673,676,679],{"q":662,"a":663},"Wie finde ich heraus, in welche Richtung mein Dach zeigt?","Am schnellsten über die Satellitenansicht von Google Maps oder einem Solarkataster: Karte nach Norden ausrichten (Norden ist oben), dann die Richtung des Dachfirsts ablesen — die Traufseite deines PV-Dachs zeigt senkrecht dazu. Eine Kompass-App direkt am Fenster funktioniert auch, weicht aber durch Metall in der Fassade gern einige Grad ab. Für diesen Rechner reicht die Himmelsrichtung auf ±10 Grad locker aus: Das Polardiagramm unten zeigt, wie wenig einzelne Grad ausmachen. Konvention hier: 0° = Süd, −90° = Ost, +90° = West.",{"q":665,"a":666},"Wie viel Ertrag kostet ein Ost- oder Westdach gegenüber Süd?","In Berlin liefert ein Ostdach mit 35° Neigung rund 79 % des Standort-Optimums, ein Westdach rund 76 % — also 21–24 % Verlust. Der Wert hängt an Standort und Neigung: Je flacher die Fläche, desto kleiner der Unterschied zwischen den Ausrichtungen. Der Rechner rechnet deine Kombination stundengenau für deinen Rasterpunkt, statt eine pauschale Tabellenzahl zu zeigen.",{"q":668,"a":669},"Warum liefert Ost in Berlin mehr als West?","Weil die Vormittage dort im Mittel klarer sind als die Nachmittage — Nebel löst sich auf, Quellbewölkung baut sich erst am Nachmittag auf. Die Stundensimulation über das typische meteorologische Jahr bildet das ab; die PVGIS-eigene Rechnung zeigt dieselbe Differenz von 3–4 %. Ein Geometrie- oder Kosinusmodell kann solche Wetter-Asymmetrien prinzipbedingt nicht sehen — es behandelt Ost und West immer als gleichwertig.",{"q":671,"a":672},"Mein Dach zeigt nach Südost oder Südwest — muss ich mir Sorgen machen?","Nein. Bei 35° Neigung liegt Südost in Berlin bei rund 95 % des Optimums, Südwest bei rund 92 % — ein Verlust im einstelligen Prozentbereich, der in der Praxis von Verschattung, Verschmutzung oder einem schlechten Wechselrichter-Arbeitspunkt überlagert wird. Abweichungen bis 45° von Süd sind fast immer unkritisch.",{"q":674,"a":675},"Ist eine Nordfläche für Photovoltaik sinnlos?","Nicht sinnlos, aber teuer erkauft: Eine Nordfläche mit 35° Neigung kommt in Berlin auf rund 51 % des Optimums. Der hohe Diffusanteil des DACH-Klimas rettet dabei mehr, als die Faustregel vermuten lässt — Diffuslicht kommt aus dem ganzen Himmel und trifft auch Nordflächen. Je flacher die Neigung, desto kleiner wird der Nachteil; bei 0° verschwindet er vollständig.",{"q":677,"a":678},"Ist Ost-West deshalb schlechter als Süd?","Pro Quadratmeter ja: Ein Ost-West-Paar (je halb Ost, halb West) liefert in Berlin bei 35° rund 77 % des Optimums. Aber auf einem Satteldach bringt Ost-West fast die doppelte Modulzahl unter, und das Tagesprofil wird breiter — Erzeugung wandert in die Morgen- und Abendstunden, in denen tatsächlich verbraucht wird. Da eine selbst verbrauchte Kilowattstunde ein Mehrfaches der Einspeisevergütung wert ist, liegt Ost-West wirtschaftlich oft vorn. Die Tagesprofil-Grafik unter dem Ergebnis zeigt genau diese Verschiebung.",{"q":680,"a":681},"Woher kommen die Zahlen, und wie genau sind sie?","Aus dem committeten TMY-Stundenraster (PVGIS-SARAH3, 2005–2023, 1.155 Rasterpunkte im DACH-Raum): Für jede der 8760 Stunden wird die Einstrahlung mit dem Perez-Modell in die Modulebene umgerechnet, der Geländehorizont abgezogen und das Niveau aufs Vieljahresmittel kalibriert. Kreuzvalidiert gegen die PVGIS-Stundenrechnung an vier Referenzstandorten über je sieben Ausrichtungen: Der Relativertrag stimmt auf 1,5 Prozentpunkte, typisch besser als 1.",[683],{"name":684,"url":685,"retrievedAt":686,"version":687},"JRC Photovoltaic Geographical Information System (PVGIS), Europäische Kommission — Endpunkte tmy, MRcalc, printhorizon","https:\u002F\u002Fre.jrc.ec.europa.eu\u002Fpvg_tools\u002F","2026-07-30","PVGIS API v5_3, Strahlungsdatenbanken PVGIS-SARAH3",[689,695,701,707,713,718,724,730,736],{"name":690,"slug":691,"distanceKm":692,"annualPsh":693,"p90KwhM2":694,"bestTiltDeg":14},"Berlin","de-berlin",1,3.5831189617880312,1207.886,{"name":696,"slug":697,"distanceKm":698,"annualPsh":699,"p90KwhM2":700,"bestTiltDeg":14},"Oranienburg","de-oranienburg",19,3.503000720980533,1193.894,{"name":702,"slug":703,"distanceKm":704,"annualPsh":705,"p90KwhM2":706,"bestTiltDeg":7},"Blankenfelde-Mahlow","de-blankenfelde-mahlow",20,3.5798803172314346,1197.9479999999999,{"name":708,"slug":709,"distanceKm":710,"annualPsh":711,"p90KwhM2":712,"bestTiltDeg":14},"Potsdam","de-potsdam",22,3.5934405191059837,1215.032,{"name":714,"slug":715,"distanceKm":710,"annualPsh":716,"p90KwhM2":717,"bestTiltDeg":7},"Bernau","de-bernau",3.520992069214132,1209.374,{"name":719,"slug":720,"distanceKm":721,"annualPsh":722,"p90KwhM2":723,"bestTiltDeg":14},"Ludwigsfelde","de-ludwigsfelde",26,3.642096611391492,1218.8539999999998,{"name":725,"slug":726,"distanceKm":727,"annualPsh":728,"p90KwhM2":729,"bestTiltDeg":14},"Königs Wusterhausen","de-koenigs-wusterhausen",29,3.569196827685653,1203.042,{"name":731,"slug":732,"distanceKm":733,"annualPsh":734,"p90KwhM2":735,"bestTiltDeg":14},"Strausberg","de-strausberg",33,3.62602451333814,1231.65,{"name":737,"slug":738,"distanceKm":77,"annualPsh":739,"p90KwhM2":740,"bestTiltDeg":14},"Eberswalde","de-eberswalde",3.5717015140591206,1227.4499999999998,[742,744,754,764,774,784,794,804,814,824,834,845,855,865,875,886,896,906],{"name":690,"slug":691,"country":743,"south":67,"southEast":55,"southWest":79,"east":10,"west":91,"north":22,"eastWestPair":138},"DE",{"name":745,"slug":746,"country":743,"south":747,"southEast":748,"southWest":749,"east":750,"west":751,"north":752,"eastWestPair":753},"Hamburg","de-hamburg",99.82978007352486,94.62562293703397,93.12423079982963,79.51104391862994,77.78549890458277,52.75224128078938,78.64827141160636,{"name":755,"slug":756,"country":743,"south":757,"southEast":758,"southWest":759,"east":760,"west":761,"north":762,"eastWestPair":763},"München","de-muenchen",99.91297914751527,94.23669995623169,93.1642811055434,78.86261719978167,77.59243691203245,52.77899612028827,78.22752705590706,{"name":765,"slug":766,"country":743,"south":767,"southEast":768,"southWest":769,"east":770,"west":771,"north":772,"eastWestPair":773},"Köln","de-koeln",99.83825270584488,94.73050816891903,92.98797674052757,79.94300381388892,77.72369122638312,53.43700053743314,78.83334752013602,{"name":775,"slug":776,"country":743,"south":777,"southEast":778,"southWest":779,"east":780,"west":781,"north":782,"eastWestPair":783},"Frankfurt am Main","de-frankfurt-am-main",99.99084250505076,94.5204089913856,93.91948386751348,79.91583324419317,79.11219258567716,53.702707403325824,79.51401291493518,{"name":785,"slug":786,"country":743,"south":787,"southEast":788,"southWest":789,"east":790,"west":791,"north":792,"eastWestPair":793},"Düsseldorf","de-duesseldorf",99.86628016596896,94.23509448939492,93.40208142643971,79.30445258597825,78.23414801473425,53.73372668495108,78.76930030035626,{"name":795,"slug":796,"country":743,"south":797,"southEast":798,"southWest":799,"east":800,"west":801,"north":802,"eastWestPair":803},"Stuttgart","de-stuttgart",99.98273889051708,93.06423027395834,94.44073478849305,77.69301833146737,79.04602663121247,53.31758302843086,78.36952248133993,{"name":805,"slug":806,"country":743,"south":807,"southEast":808,"southWest":809,"east":810,"west":811,"north":812,"eastWestPair":813},"Essen","de-essen",99.99264173708563,94.58721443903303,94.07932871946888,80.2719131313547,79.65083922873937,55.58423217358832,79.96137618004703,{"name":815,"slug":816,"country":743,"south":817,"southEast":818,"southWest":819,"east":820,"west":821,"north":822,"eastWestPair":823},"Dortmund","de-dortmund",99.93008991929176,94.59777828818517,93.84667756726688,80.04006092960995,79.1761966899813,55.1583203075605,79.60812880979562,{"name":825,"slug":826,"country":743,"south":827,"southEast":828,"southWest":829,"east":830,"west":831,"north":832,"eastWestPair":833},"Dresden","de-dresden",99.7735897424558,94.1760605287891,92.57167959456454,78.4874996509062,76.62402243440711,51.31714587211216,77.55576104265664,{"name":835,"slug":836,"country":837,"south":838,"southEast":839,"southWest":840,"east":841,"west":842,"north":843,"eastWestPair":844},"Wien","at-wien","AT",99.89077083427574,95.11382393448713,92.14507908278458,80.41155760117528,76.6454450828006,55.155901592083545,78.52850134198793,{"name":846,"slug":847,"country":837,"south":848,"southEast":849,"southWest":850,"east":851,"west":852,"north":853,"eastWestPair":854},"Graz","at-graz",99.89359472346747,93.35184466500908,93.32256329971392,77.26943913506761,77.23322989948429,50.688279442425475,77.25133451727595,{"name":856,"slug":857,"country":837,"south":858,"southEast":859,"southWest":860,"east":861,"west":862,"north":863,"eastWestPair":864},"Linz","at-linz",99.96016995983696,92.9672726295203,94.55745822934165,77.2909262430689,79.38652130801138,52.201179638297546,78.33872377554016,{"name":866,"slug":867,"country":837,"south":868,"southEast":869,"southWest":870,"east":871,"west":872,"north":873,"eastWestPair":874},"Salzburg","at-salzburg",99.99939865572856,93.79642009025243,94.18273213070188,78.77813631844413,79.32268883411514,54.208826945238364,79.05041257627963,{"name":876,"slug":877,"country":878,"south":879,"southEast":880,"southWest":881,"east":882,"west":883,"north":884,"eastWestPair":885},"Zürich","ch-zuerich","CH",99.92652541726257,93.76656087668104,93.43878879140482,78.31289348230477,77.73426961547068,52.21415138155411,78.02358154888772,{"name":887,"slug":888,"country":878,"south":889,"southEast":890,"southWest":891,"east":892,"west":893,"north":894,"eastWestPair":895},"Genf","ch-genf",99.86704059360993,92.9948690652448,93.98336914956845,77.0557802756478,78.14772560446073,51.194951211339834,77.60175294005428,{"name":897,"slug":898,"country":878,"south":899,"southEast":900,"southWest":901,"east":902,"west":903,"north":904,"eastWestPair":905},"Basel","ch-basel",99.99408225792854,94.47699803163424,93.78327202000017,79.69239730150704,78.82754624142939,54.49026466590177,79.2599717714682,{"name":907,"slug":908,"country":878,"south":909,"southEast":910,"southWest":911,"east":912,"west":913,"north":914,"eastWestPair":915},"Lausanne","ch-lausanne",99.40842747436261,89.19103201197639,95.31697917240058,71.7667856032689,78.5363149730743,49.37631442424693,75.15155028817159,1786101729723]