Formation Of The Power Flow Equations

 Line Flow And Line Losses Calculation

The line current Iij as shown in the previous figure ,measured at bus i and defined positive in the direction i to j , is obtained from:

The line power flow Sij and Sji measured at bus i and j respectively and both defined positive into the line are now obtained:

 Formation Of The Power Flow Equations

The steps for formation the power flow equations for n buses with ng generators system can be summarized as follow:

select one of the system buses ( the largest one) as slack bus ,let the slack bus is bus number (1) soδ1=0 as reference and IV1I =1p.u

Form the bus admittance matrix  using the following equiv

Determine the type of the buses.

Write the active power equation for all buses except the slack bus as:

and write the equation of reactive power at all p-Q busses as:                                                 

     The previous equiv is applied only for P-Q buses.          

    Solve the equations of the previous step to find the state variables which are the bus angles at all buses except the slack bus and the voltage magnitude at the P-Q buses only

for P-V buses or the voltage magnitude at all buses except the slack bus for the P-Q  system.                                                                                                                                   

Rectangular Form Of load flow equation

                                                                         

The nodal admittance matrix current in the power form of n buses is:       

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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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