Änderungen von Dokument Lösung Solarspeicher

Zuletzt geändert von Holger Engels am 2026/01/12 21:00

Von Version 4.1
bearbeitet von Holger Engels
am 2026/01/12 20:59
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 1.1
bearbeitet von Holger Engels
am 2026/01/12 20:46
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

Seiteneigenschaften
Inhalt
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1 -[[image:Solarspeicher.svg||width=500]]
1 +[[image:Solatspeicher.svg||width=500]]
2 2  
3 -{{formula}}l(t)=3\cdot \cos(\frac{\pi}{12}(x-19))+5{{/formula}}
4 -
5 -{{formula}}\Rightarrow l'(t)=-\frac{\pi}4 \sin(\frac{\pi}{12}(x-19)){{/formula}}
6 -
7 -{{formula}}\Rightarrow l''(t)=-\frac{\pi^2}{48} \cos(\frac{\pi}{12}(x-19)){{/formula}}
8 -
9 -Die Nullstellen der zweiten Ableitung sind Kandidaten für Wendestellen: {{formula}}l''(t)=0{{/formula}}
10 -
11 -{{formula}}
12 -\begin{align*}
13 -\Rightarrow -\frac{\pi^2}{48} \cos(\frac{\pi}{12}(x-19)) = 0 \\
14 -\Rightarrow \cos(\frac{\pi}{12}(x-19)) = 0 \\
15 -\text{...} \\
16 -x_w = 13
17 -\end{align*}
18 -{{/formula}}
19 -
20 -Um 13:00 ist die Ladeleistung am höchsten. Durch Einsetzen des Zeitpunkts in {{formula}}l'{{/formula}} erhält man die zugehörige Änderungsrate, sprich: die Ladeleistung:
21 -
22 -{{formula}}l'(13)=\text{...} \approx 0,79{{/formula}}
23 -
24 -Die Einheit der Ladeleistung ist {{formula}}\frac{kWh}{h}=kW{{/formula}}.
Solarspeicher.ggb
Author
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1 -XWiki.holgerengels
Größe
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1 -47.0 KB
Inhalt
Solarspeicher.svg
Author
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1 -XWiki.holgerengels
Größe
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1 -14.5 KB
Inhalt
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