[問題] 非正弦波電路 平均功率
題目為
v(t) = 80 + 120cos120πt + 60cos(360πt-30°) V
i(t) = 5cos(120πt-10°) + 2cos(360πt-60°) A
求平均功率
我原本算法為 先求V與I的有效值 再相乘
───────────────────
Vrme = ∕ 2 ╭ 120 ╮2 ╭ 60 ╮2
∕ 80 + │ -----│ + │ -----│
\∕ │ ─ │ │ ─ │
│ ˋ∕2 │ │ ˋ∕2 │
╰ ╯ ╰ ╯
────────────────
Irme = ∕╭ 5 ╮2 ╭ 2 ╮2
∕ │ -----│ + │ -----│
\∕ │ ─ │ │ ─ │
│ ˋ∕2 │ │ ˋ∕2 │
╰ ╯ ╰ ╯
S = Vrms * Irms
Pav = S * ......
但是角度問題越想越怪
求解ORZ
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