BUS IMPEDANCE MATRIX - PART – 06 –FORMATION OF Z-BUS MATRIX AND ONE PROBLEM

For the system shown in the figure. Form bus impedance matrix.

BUS IMPEDANCE MATRIX - PART – 05 - FORMATION OF Z-BUS MATRIX AND ONE PROBLEM

PROBLEM - 01

For the system shown in the figure, form bus impedance matrix.

BUS IMPEDANCE MATRIX - PART – 04 - Z-BUS FORMATION AND ONE PROBLEM

PROBLEM - 01

For the system shown in the figure, form bus impedance matrix.

BUS IMPEDANCE MATRIX - PART – 03 - TYPE FOUR MODIFICATION AND ONE PROBLEM

PROBLEM - 01
For the system shown in the figure, form bus impedance matrix.

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]

BUS IMPEDANCE MATRIX - PART – 01 – DRIVING POINT IMPEDANCE AND TRANSFER IMPEDANCE AND ONE PROBLEM

BUS IMPEDANCE MATRIX IS VERY USEFUL FOR FAULT ANALYSIS

DRIVING POINT IMPEDANCE

The input or driving point impedance of an active network is defined as the impedance presented by the network to the specified terminals when all internal sources are shorted but their internal impedances retained.

TRANSFER IMPEDANCE

The ratio of the driving voltage in one mesh of a network to the resulting current in another mesh, all other sources being set to zero.

BUS ADMITTANCE MATRIX - PART – 20 – ONE PROBLEM - PHASE SHIFTING TRANSFORMER

PROBLEM
Formulate Y-bus matrix for the system shown in the figure. The phase shifting is connected between the bus 1 and 2.

BUS ADMITTANCE MATRIX - PART – 19 - MODELLING OF PHASE SHIFTING TRANSFORMER

The Phase shifting transformer is commonly used to control real power flow in the multiline power network.

Phase shifting transformer has a complex turns ratio having magnitude and phase angle.

The phase angle depends on the position of tap position of the transformer.

BUS ADMITTANCE MATRIX - PART – 18 - EQUIVALENT CIRCUIT MODEL OF SINGLE PHASE UNIT - DELTA-DELTA TRANSFORMER

The equivalent circuit model of the single phase unit can be derived by connecting a Delta-Delta transformer as comprising a Delta-Star transformer connected in series (Back to Back) via a zero impedance link to a Star-Delta transformer.

BUS ADMITTANCE MATRIX - PART – 17 - ONE PROBLEM - INCLUSION OF OFF-NOMINAL TAP SETTING TRANSFORMER IN A LINE

PROBLEM ONE

Formulate Y-Bus matrix for a network shown in fig. The line series admittance of the lines and line charging admittance are mentioned in the figure. An off-nominal tap setting transformer is connected between the lines 1-3 and its ratio is 1.05:1.