GATE EE 2016 Set 2 — Question 24
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Power Systems → Per-Unit System & Load Flow → Gauss-Seidel & Newton-Raphson
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Question
A power system has 100 buses including 10 generator buses. For the load flow analysis using Newton-Raphson method in polar coordinates, the size of the Jacobian is
Correct answer
(A) 189 × 189
Solution
In the Newton-Raphson load flow method using polar coordinates, the size of the Jacobian matrix is , where is the total number of buses and is the number of PV (generator) buses (excluding the slack bus).
Given and total generator buses = 10. Assuming one generator bus is the slack bus, .
Size .
Thus, the size is .
Given and total generator buses = 10. Assuming one generator bus is the slack bus, .
Size .
Thus, the size is .
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