Please solve them asap Problem 6 Three identical impedances of 10 15 2 are Y-con

Question

Please solve them asap

Problem 6 Three identical impedances of 10 15 2 are Y-connected to a balanced three-phase line voltages of 208 V. Specity all the line and phase voltages and the currents as phasors in polar form with Vo as reference for a phase sequence of abc. Problem 7 Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is (1.4 j1.6)2 per phase between generator G1 and the load, and (0.8 j1)2 per phase between generator G2 and the load. If generator G1 supplies 15 kW at 0.8 power factor lagging, with a terminal voltage of 460 V line-to-line, determine: 1. The line voltage at the load terminals 2. The line voltage at the terminals of the generator G2 3. The real and reactive power supplied by the generator G2

Explanation / Answer

problem 6

in star connected network

line currents =phase currents

line voltages=1.73* phase voltages

here Vca as the reference. line voltages are

Vca=208<0 volts, Vab=208<+120 volts, Vbc=208<-120 volts

phase voltages are

Vc=Vca/1.73=208<0/1.73=120<0 volts.

Va=Vab/1.73=120<+120 volts

Vb=Vbc/1.73=120<-120 volts.

phase currents are

Ia=Va/Za=(120<120)/(10<-15)=12<135 amps

Ib=Vb/Zb=(120<-120)/(10<-15)=12<-105 amps

Ic=Vc/Zc=(120<0)/(10<-15)=12<15 amps

here phase currents are same as line currents.

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