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Compared to Gauss-Seidel method, Newton-Raphson method takes
1. less number of iterations and more time per iteration
2. less number of iterations and less time per iteration
3. more number of iterations and more time per iteration
4. more number of iterations and less time per iteration

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Correct Answer - Option 1 : less number of iterations and more time per iteration
  • Newton Raphson's method has more computation time per iteration as compared to the Gauss Siedel method.
  • Only the Gauss Siedel method has a problem in convergence for a system with long radial lines.

 

Important Points:

Gauss-Seidel Method

Newton Raphson Method

Load flow equations are non-linear in rectangular coordinates

Load flow equations are non-linear in polar co-ordinates

It has linear convergence characteristics

It has quadratic convergence characteristics

Less memory requirement

More memory requirement

Computation time per iteration is less

Computation time per iteration is more

Require large number of iterations to reach convergence

Require a smaller number of iterations to reach convergence

Total time taken to get convergence is high

Total time taken to get convergence is less

The number of iterations required to get for convergence increases with size of the system i.e. number of buses

The number of iterations is independent of the size of the system

As the selection of slack bus is changed, the convergent criteria also will change

The convergent criteria is independent of the selection of slack bus

Unreliable convergent, less accurate and used for smaller system

Reliable convergent, more accurate, it can be used for larger power system

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