electrical installation 一問?

2009-03-30 7:34 am
A 380V, 50hz, 100kw three-phase induction heater of full load efficiency 90% and power factor of 0.7 lagging. calculate the reactive power (Qc) and capacitance (C) of delta-connected capacitors required to improve the overall power factor 0.95 lagging. hence determine how much is the supply demand and current saved after the connection of the capacitor?
我想要計算步驟
thx

回答 (1)

2009-03-31 7:58 am
✔ 最佳答案
你會問呢個問題證明你已經好高級佐,至少應該係 B 牌以上。
380 V 3φ 50 Hz
100 KW
0.7 o Cosφ = 1.02 o tanφ
90% eff
I = P / ( V x 1.732 x Pf ) = 100000 / 461 = 217A
KVA = V x 1.732 x I = 142 KVA
KVAR = KW x o tanφ = 100 x 1.02 = 102KVAR
Ic = KVAR / ( V x 1.732 ) = 102000 / 658 = 155A
Xc = ( V x 1.732 ) / Ic, [ V x 1.732 = 380 x 1.732 = 658 ]
so, Xc = 658 / 155 = 4.245Ω
C = 106 / 2π x F x Xc
= 1000000 / (6.28 x 50 x 4.245) = 750μF
for delta connection (Δ) is 3 x 250μF
for 90% eff is no effected the power factor
the above is improve the overall power factor to 1.00
至於你要將功率因數改爲0.95 o Cosφ,你只需重復照此計算法計多一次 0.95 o Cosφ,然後將 0.7 o Cosφ 之 KVAR 減 0.95 o Cosφ 之 KVAR 你就可以知道所需之電容量啦。
1.732 = √3
以前讀書有學過,已經廿年冇計此數學,有時都會漏佐一個步驟冇計到既。
如有錯漏,祈請指教


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