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Chapter: Power System Analysis - Power Flow Analysis

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Iterative Solution Using Newton-Raphson Method - Algorithm

Iterative solution using Newton-Raphson method – Flow chart - Faster, more reliable and results are accurate, require less number of iterations;

ITERATIVE SOLUTION USING NEWTON-RAPHSON METHOD – ALGORITHM

 

Step 1: Assume a suitable solution for all buses except the slack bus. Let Vp = a+j0 for P

= 2,3,……n V1 = a+j0

Step 2 : Set the convergence criterion = ε0

 

Step 3 : Set iteration count K= 0

 

Step 4 : Set bus count P = 2

 

Step 5 : Calculate Pp and Qp using n


Step 6 : Evaluate ΔPPK = Pspec - PPK

 

Step 7 : Check if the bus is the question is a PV bus. If yes compare QPK with the limits. If it exceeds the limit fix the Q value to the corresponding limit and treat the bus as PQ for that iteration and go to next step (or) if the lower limit is not violated evaluate │ΔVP2 = │ Vspec2 - │VPK2 and go to step 9

 

Step 8: Evaluate ΔQPK = Qspec - QPK

 

Step 9 : Advance bus count P = P+1 and check if all buses taken in to account if not go to step 5

 

Step 10 : Determine the largest value of │ΔVP2

 

Step 11: If ΔVP < ε go to step 16

 

Step 12: Evaluate the element of Jacobin matrices J1, J2, J3, J4, J5 and J6

 

Step 13: Calculate ΔePK and ΔfPK

 

Step 14: Calculate ePK+1 = ePK + ΔePK and fPK+1 = fPK + ΔfPK

 

Step 15 : Advance count (iteration) K=K+1 and go to step 4

 

Step 16: Evaluate bus and line power and print the result

 

Iterative solution using Newton-Raphson method – Flow chart

 











Advantages and disadvantages of N.R method

 

Advantages: Faster, more reliable and results are accurate, require less number of iterations;

 

Disadvantages: Program is more complex, memory is more complex.

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