Question #223756

Multiple choice questions

Question 5

Because of the nature of the power flow bus data, nodal equations do not directly fit

the linear-equation format, and power flow equations are actually nonlinear. However,

the Gauss-Siedel method can be used for the power flow solution.

(1) True.

(2) Only true for systems with less than 14 buses.

(3) False.

(4) Only true for systems with fully transposed transmission lines.

Question 5

Because of the nature of the power flow bus data, nodal equations do not directly fit

the linear-equation format, and power flow equations are actually nonlinear. However,

the Gauss-Siedel method can be used for the power flow solution.

(1) True.

(2) Only true for systems with less than 14 buses.

(3) False.

(4) Only true for systems with fully transposed transmission lines.

Expert's answer

The given statement is True (Option 1)

Consider the following for a bus k

P_{k} = real component of power

Q_{k} = reactive component of power

V_{k} = Voltage magnitude

Since power-flow bus data consists of P_{k }and Q_{k} for load buses or P_{k }and V_{k }for voltage-controlled buses, nodal equations do not directly fit the linear equation format and due to this reason, the current source vector I is unknown and the equations are actually nonlinear. The Gauss-Siedel method can be applied for the power-flow equation in the following way:

Where, Y_{kn} is the element in the k^{th} row and n^{th} column of matrix Y. Hence, the given statement is

True.

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