Difference between Gauss Seidel and Newton Raphson

Difference between Gauss Seidel and Newton Raphson Load flow methods

Comparison between Gauss Seidel and Newton Raphson

  • The Key Difference between Gauss Seidel and Newton Raphson¬†are in the below comparison chart.

Comparison Chart

Gauss Seidel Newton Raphson
Co-ordinates Works well with rectangular coordinates. Polar co-ordinates are preferred as rectangular coordinates occupy more memory.
Arithmetical operations Least in number to complete one iteration. Elements of jacobian to be calculated in each iteration .
Time Requires less time per iteration, but increases with an increase in the number of buses. Time/iteration is 7 times of GS and increases with an increase in the number of buses.
Convergence Linear convergence Quadratic convergence
No. of iterations A large number, increases with an increase in buses. Very less (3 to 5 only) for large system and is practically constant.
Slack bus selection Choice of slack bus affects convergence adversely Sensitivity to this is minimal
Accuracy Less accurate More accurate
Memory Less memory because of the sparsity of the matrix. Large memory even with compact storage scheme
Usage/application Small size system A large system, ill-conditioned problems, optimal load flow studies.
Programming Logic Easy Very difficult
Reliability Reliable only for a small system. Also, Reliable for large system

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