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 Atiia

Hi. I’m Designer of Engineering Topics 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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