Which one of the following matrices reveals the topology of the power system network?

Question

Question

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PGCIL Diploma Trainee EE Official Paper (Held on 17 Dec 2020)

Answer 1

Bus Admittance Matrix:

In a power system, Bus Admittance Matrix represents the nodal admittances of the various buses.
Admittance matrix is used to analyze the data that is needed in the load or a power flow study of the buses.

Incidence matrix:

It is the matrix that gives a relation between the branches and nodes.
The rows of the incidence matrix [A] represent the number of nodes and the column of the matrix represents the number of branches in the given graph.
If there are ‘n’ number of rows in a given incidence matrix[A], that means in a graph there are ‘n’ number of nodes.
Similarly, if there are ‘b’ numbers of columns in that given incidence matrix[A], that means in that graph there are ‘b’ number of branches.
We can construct the incidence matrix for the directed graph. We can draw a graph with the help of the incidence matrix.
It explains the topology of the network.
The algebraic sum of elements of all the columns is zero.
The rank of the incidence matrix is (n–1).
The determinant of the incidence matrix of a closed loop is zero.