GATE EE 2018 Set 1 — Question 40
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Power Systems → Power System Stability → Swing Equation & Power-Angle
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Question
The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, , where is the load angle. Newton-Raphson method is used to calculate the value of for pu. If the initial guess is , then its value (in degree) at the end of the first iteration is
Correct answer
(C) 28.74^
Solution
Given . We want to find for pu.
Define .
The derivative is .
Initial guess radians.Calculate :
Calculate :
Newton-Raphson update:
radians.Convert to degrees:
New value of :
.Thus, option (C) is correct.
Define .
The derivative is .
Initial guess radians.Calculate :
Calculate :
Newton-Raphson update:
radians.Convert to degrees:
New value of :
.Thus, option (C) is correct.
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