A singlephase transmission line supplies a reactive load at

A single-phase transmission line supplies a reactive load at a lagging power factor. The load draws 1.2 pu current at 0.6 pu voltage while drawing 0.5 pu (true) power. If the base voltage is 20 kV and the base current is 160 A, calculate the power factor and the ohmic value of the resistance of the load. Ans. 0.694; 43.375 ohm

Solution

true power(p)=0.5 pu

vpu*ipu*cosq=0.5

cosq=0.5/(1.2*0.6)=0.694

zbase=vbasse/ibase=20000/160=125 amps

zpu=vpu/ipu=0.6/1.2=0.5

zactual=zpu*zbase=125*0.5=62.5 ohms

 A single-phase transmission line supplies a reactive load at a lagging power factor. The load draws 1.2 pu current at 0.6 pu voltage while drawing 0.5 pu (true

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