GATE EE 2018 Set 1 — Question 16
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Power Systems → Power System Stability → Steady-State & Transient Stability
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Question
Consider a lossy transmission line with and as the sending and receiving end voltages, respectively. and are the series impedance and reactance of the line, respectively. The steady-state stability limit for the transmission line will be
Correct answer
(B) less than (V₁ V₂)/(X)
Solution
For a lossless line (), the maximum power (steady-state stability limit) is . For a lossy line with resistance , the series impedance is . The maximum power delivered is . Since and there is an additional subtractive term due to resistance, the stability limit for a lossy line is always less than .
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