Network Model Formulation


Network Model Formulation

Consider an ith 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.
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Ahmad Mohammad

Hi. I’m Designer of Mawsoo3a Blog. I’m Electrical Engineer And Blogger Specializing In Electrical Engineering Topics. I’m Creative.I’m Working Now As Maintenance Head Section In An Industrial Company.

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