Question

For a power system, modelled by its positive-sequence network, both bus admittance matrix and bus-impedance matrix are symmetric.

(a) True

(b) False

Short answer

Therefore, the correct option is (a) True.

Step-by-step solution

Determine the formula of bus impedance matrix.

Write the formula of bus impedance matrix.

Z_bus= Y^-1_bus .................(1)

Here, Y_bus is a positive sequence bus admittance matrix and Z_bus is bus impedance matrix.

Consider that the order of is Y_bus N x N, so the order of Z_bus will also be N x N .

Determine the answer.

From equation (1), it is clear that the, bus impedance matrix is inverse of bus admittance matrix.

Also, the order of the matrices are same.

Hence, both bus admittance matrix and bus-impedance matrix are symmetric.

Therefore, the correct option is (a) True.