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Differences between Newton Raphson & Gauss Seidel Methods ?

  1. Feb 11, 2013 #1
    Differences between Newton Raphson & Gauss Seidel Methods !?

    hello everyone ...

    can any one please summarize me the differences between Newton Raphson & Gauss Seidel Methods in load flow study !?


    I'll be really thankful
     
  2. jcsd
  3. Feb 11, 2013 #2

    rbj

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    Re: Differences between Newton Raphson & Gauss Seidel Methods !?

    i'm an EE and i have no idea what a "load flow study" is.

    the Newton-Raphson and Gauss-Seidel are two different things.

    as best as i can tell Gauss-Seidel is sorta equivalent to what we usually call Gaussian elimination, but i may be wrong. both are for solving a set of N linear equations with N unknowns. i don't imagine there are too many problems (like multiple, equally-valid solutions) if the N equations are all linearly independent.

    Newton-Raphson is for solving for the roots of N non-linear equations. it's an iterative method that converges on a result. there are possibilities of the thing not converging on a solution, or sometimes converging on a valid solution, but it isn't the set of roots that you want. a set of N non-linear equations might have more than one result set of the N unknowns.
     
  4. Feb 11, 2013 #3
    Re: Differences between Newton Raphson & Gauss Seidel Methods !?

    thanks for your explanation , I meant with load flow study , power flow study in power system
     
  5. Feb 11, 2013 #4

    rbj

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    Re: Differences between Newton Raphson & Gauss Seidel Methods !?

    okay, whatever the application is, the Gauss Seidel is for a system of linear equations and Newton-Raphson is for a single non-linear equation or a system of non-linear equations.
     
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