### 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 language | English |
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Journal | Proceedings of the Annual Reliability and Maintainability Symposium |

Publication status | Published - 2017 Jan 1 |

Externally published | Yes |

Event | IEEE Power Eng Soc, Winter Meet, Prepr - New York, NY, USA Duration: 1980 Feb 3 → 1980 Feb 8 |

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### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Engineering(all)

### Cite this

**ON THE MULTIPLE SOLUTION STRUCTURE, SINGULAR POINT AND EXISTENCE CONDITION OF THE MULTIPLE LOAD-FLOW SOLUTIONS.** / Tamura, Yasuo; Nakanishi, Yosuke; Iwamoto, Shin ichi.

Research output: Contribution to journal › Conference article

}

TY - JOUR

T1 - ON THE MULTIPLE SOLUTION STRUCTURE, SINGULAR POINT AND EXISTENCE CONDITION OF THE MULTIPLE LOAD-FLOW SOLUTIONS.

AU - Tamura, Yasuo

AU - Nakanishi, Yosuke

AU - Iwamoto, Shin ichi

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85040156792&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85040156792&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85040156792

JO - Proceedings of the Annual Reliability and Maintainability Symposium

JF - Proceedings of the Annual Reliability and Maintainability Symposium

SN - 0149-144X

ER -