ON THE MULTIPLE SOLUTION STRUCTURE, SINGULAR POINT AND EXISTENCE CONDITION OF THE MULTIPLE LOAD-FLOW SOLUTIONS.

Yasuo Tamura, Yosuke Nakanishi, Shin ichi Iwamoto

Research output: Contribution to journalConference article

Abstract

The load flow multiple solution problem is investigated from the point of view that each load flow equation is expressed as a quadratic form in rectanguler coordinates. Using the fact that any two solutions of the multiple solutions can be represented with the middle point and deviation of those, the existence condition for the multiple solutions is shown by structure-determining vectors. By the above investigations, a heuristic algorithm for finding the multiple solutions is developed, and the problem of close multiple solutions is considered. Both results are examplified for the J. B. Ward & H. W. Hale 6-node and the A. Klos & A. Kerner 3-node systems.

Original languageEnglish
JournalProceedings of the Annual Reliability and Maintainability Symposium
Publication statusPublished - 2017 Jan 1
Externally publishedYes
EventIEEE Power Eng Soc, Winter Meet, Prepr - New York, NY, USA
Duration: 1980 Feb 31980 Feb 8

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Heuristic algorithms

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Engineering(all)

Cite this

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title = "ON THE MULTIPLE SOLUTION STRUCTURE, SINGULAR POINT AND EXISTENCE CONDITION OF THE MULTIPLE LOAD-FLOW SOLUTIONS.",
abstract = "The load flow multiple solution problem is investigated from the point of view that each load flow equation is expressed as a quadratic form in rectanguler coordinates. Using the fact that any two solutions of the multiple solutions can be represented with the middle point and deviation of those, the existence condition for the multiple solutions is shown by structure-determining vectors. By the above investigations, a heuristic algorithm for finding the multiple solutions is developed, and the problem of close multiple solutions is considered. Both results are examplified for the J. B. Ward & H. W. Hale 6-node and the A. Klos & A. Kerner 3-node systems.",
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AB - The load flow multiple solution problem is investigated from the point of view that each load flow equation is expressed as a quadratic form in rectanguler coordinates. Using the fact that any two solutions of the multiple solutions can be represented with the middle point and deviation of those, the existence condition for the multiple solutions is shown by structure-determining vectors. By the above investigations, a heuristic algorithm for finding the multiple solutions is developed, and the problem of close multiple solutions is considered. Both results are examplified for the J. B. Ward & H. W. Hale 6-node and the A. Klos & A. Kerner 3-node systems.

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