有一平衡三相負載之線電壓為600 V,功率因數為0.6落後,消耗功率為360 kW。送電端經輸電線送電至負載,輸電線每相之阻抗值為0.015+j0.025 Ω,求送電端之線電壓?
A611 V
B620 V
C629 V正確答案
D638 V
答案與詳解
正確答案629 V。計算步驟:P=360kW,pf=0.6滯後,sin φ=0.8;I_L=P/(√3×V_L×pf)=360000/(√3×600×0.6)=577.35A;相電壓V_R=600/√3=346.41V;令V_R為參考相量,I=(577.35∠−53.13°)A;V_S=V_R+I×Z_line=346.41+577.35∠−53.13°×(0.015+j0.025);Z_line模=√(0.015²+0.025²)=0.02915Ω,角度=59.04°;I×Z_line=577.35×0.02915∠(−53.13°+59.04°)=16.83∠5.91°;實部=16.75,虛部=1.74;V_S=346.41+16.75+j1.74=363.16+j1.74;|V_S|=363.16V;線電壓=363.16×√3≈628.7≈629V。
