GATE EE 2025 Set 1 — Question 32
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Power Systems → Insulators & Distribution → Feeder Calculations
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Question
Consider a distribution feeder, with ratio of . At the receiving end, a load is connected. The maximum voltage drop will occur from the sending end to the receiving end, when the power factor of the load is ___________(round off to three decimal places).
Correct answer
0.975 to 0.985
Solution
The approximate voltage drop in a distribution feeder is given by:where is the power factor. To find the power factor that maximizes the voltage drop, we differentiate the expression with respect to and set it to zero:Given the ratio is , we have . Thus:The power factor is :Rounding to three decimal places, the power factor is .
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