Network Model Formulation

Consider an i^th bus of and "n" bus power system as shown in the following figure:

Its convenient to work with power at each bus injected into the transmission system , called the "bus power". The i th bus power is defined as:

The complex power can be written in terms of real and reactive powers as following:

The Bus current at the i ^th bus Ii is defined as:

The complex "bus power" Si can also be visualized by splitting a bus as shown in the following figure:

The relation between bus current and bus voltages can be derived under the following assumptions:

There are no mutual coupling between the transmission lines.

There is an absence of regulator transformer.

By applying Kirchhoff's current law(KCL) at the i bus one can get:

From the previous equation , the system bus admittance matrix is obtained as:

Where:

For all the buses we can write its matrix form as:

Where:

IBus is n*1 column vector of bus current.

VBus is n*1 column vector of bus voltage.

YBus is n*n matrix of admittance given.

Ahmad Atiia

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Network Model Formulation