Difference between Gauss Seidel and Newton Raphson

Difference between Gauss Seidel and Newton Raphson Load flow methods

Contents

The Key Difference between Gauss Seidel and Newton Raphson are in the below 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