Power flow studies using Jacobi and Gauss Seidel

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Discussion Overview

The discussion revolves around solving load flow distribution in a power network using iterative methods, specifically Jacobi and Gauss Seidel. The focus includes the implementation in MATLAB and the graphical analysis of results, with participants exploring the requirements and methods for visualizing convergence in the context of power flow studies.

Discussion Character

  • Technical explanation
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about how to graphically represent the convergence of solutions for each node in the power network using MATLAB or Excel.
  • Another participant questions whether complex elements are present in the matrix, suggesting that Excel may not be suitable for this analysis and recommending alternatives like GNU Octave or Powerworld.
  • A suggestion is made to graph maximum mismatch versus iteration number, explaining that the mismatch at each bus should sum to zero and that convergence is reached when the maximum mismatch falls below a certain tolerance.
  • It is noted that CPU time may be a more meaningful metric than iteration count for assessing convergence.

Areas of Agreement / Disagreement

Participants express differing views on the best tools for graphical analysis and the specific metrics to be used, indicating that multiple competing approaches exist without a clear consensus on the best method.

Contextual Notes

There are limitations regarding the assumptions about the complexity of the power network and the capabilities of the software tools mentioned. The discussion does not resolve the appropriateness of using Excel versus other software for this analysis.

Who May Find This Useful

This discussion may be useful for students or professionals involved in power systems analysis, particularly those interested in iterative methods for load flow studies and graphical representation of results.

Bourbon daddy
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I have been asked to solve the actual load flow distribution in a given power network using two iterative methods. I have chosen Jacobi and Gauss Seidel.

we have to use MATLAB to find where the solution converges.

I am fine with all of this, but we have been tasked with providing graphical analysis of the results.

I am new to MATLAB, so would prefer to use excel as I can do this at home, but i am unsure as to how a graph would be shown and the purpose in showing it?

What would I provide a graph of? Where the solution converges for each of the nodes?

Can anyone offer some insight into this.

regards
 
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Do you have complex elements in the matrix? If so, Excel will let you down. GNU Octave is free and similar to MATLAB. If you are working with power flow, you could also get a student version of Powerworld. It will analyze these types of systems as well.

Are these large, real world systems or simply a smaller class type problem? Perhaps you can crank out on a good graphing calculator such as a Ti-89 or any Hp graphing calculator (the Ti-83/84 is not capable of this).
 
Bourbon daddy said:
What would I provide a graph of?

i'd see what these folks use

http://fnetpublic.utk.edu/gradientmap.html

check their contact page. Knoxville Tennessee is the friendiest place i ever visited.
 
Last edited by a moderator:
You want a graph of maximum mismatch versus iteration number.

At each bus, add the complex power flows in and out. They should sum to zero. The actual sum is the mismatch. The interactions cease when the maximum mismatch falls below the tolerance.

By the way, CPU time rather than iteration count is a more meaningful number.
 

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