GATE EE 2017 Set 2 — Question 25
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Power Systems → Per-Unit System & Load Flow → Gauss-Seidel & Newton-Raphson
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Question
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is . If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.
Correct answer
61 to 61
Solution
In the Newton-Raphson method using polar coordinates, the size of the Jacobian matrix is given by , where is the number of PQ buses and is the number of PV buses.
Alternatively, the size is , where is the total number of buses.
Given size and .
.
Alternatively, the size is , where is the total number of buses.
Given size and .
.
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