題組內容

1.6極三相同步發電機之每相輸出瞬時電壓(e)=359.2sin(377t),供應某6極,轉差率(S)=3%,效率(eff)=90%輸出為15.087Kw的三相感應馬達。此時的瞬時電流(i)=25.4√2Sin(377t-30゚)。試求

註:

e = EMSin θ = \(\sqrt{2}\)ESin ωt = \(\sqrt{2}\)ESin2 πft

i = IMSinθ = \(\sqrt{2}\)ISinωt = \(\sqrt{2}\)ISin2 πft

發電機之輸出功率\((\text{P}) = 3\text{E}_{\text{p}}\text{I}_{\text{p}}\text{Cos}\theta\)

cosθ為功率因素,

且θ=377t-(377t-30゚)=30゚

 (1)發電機頻率(f)=?