BUS IMPEDANCE MATRIX - PART – 02 - ALGORITHM FOR FORMULATION OF Z-BUS AND ONE PROBLEM

PROPERTIES OF BUS IMPEDANCE MATRIX

1. Bus impedance matrix is symmetric when bus admittance matrix is symmetric.

2. Bus impedance matrix is a full matrix.

3. in bus admittance some of the elements are zero but in bus impedance matrix zero elements of bus admittance matrix becomes non-zero elements.

Bus impedance can be found in two ways:

1. Inverse of bus admittance matrix

2. Directly found from the reactance diagram.

ALGORITHM FOR FORMULATION BUS IMPEDANCE MATRIX

Type - 01 - Adding Zs from a new bus to the reference bus.

Type - 02 - Adding Zs from new bus to the reference bus.

Type - 03 - Adding Zs from new bus to the old bus.

Type - 04 - Adding Zs between two old buses.

PROBLEM - 01

The figure shows a three bus system. Assuming bus 1 to be the reference bus fine [Zbus]