### Abstract

In this paper, comprehensive studies on load flow problems are shown. First, a new fact on a Taylor series expansion of load flow equations is discovered, and using the fact a fast second order load flow method is developed, which is currently one of the fastest load flow methods in the world. The method is from several to more than ten times faster than the conventionally-used Newton-Raphson method. Then, employing the newly-found fact a powerful method for preventing oscillation and divergence of load flow solutions is developed. The method can be easily incorporated into the normal Newton-Raphson type program (in rectangular form) as a simple subroutine of only about 20 steps. Finally, a practical approach is developed for finding operable multiple load flow solutions, since the load flow equations are nonlinear. Properties of multiple load flow solutions are investigated.

Original language | English |
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Title of host publication | Memoirs of the School of Science and Engineering, Waseda University |

Pages | 49-72 |

Number of pages | 24 |

Edition | 46 |

Publication status | Published - 1982 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Memoirs of the School of Science and Engineering, Waseda University*(46 ed., pp. 49-72)

**COMPREHENSIVE STUDIES ON LOAD FLOW PROBLEMS.** / Tamura, Yasuo; Iwamoto, Shin'ichi.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Memoirs of the School of Science and Engineering, Waseda University.*46 edn, pp. 49-72.

}

TY - CHAP

T1 - COMPREHENSIVE STUDIES ON LOAD FLOW PROBLEMS.

AU - Tamura, Yasuo

AU - Iwamoto, Shin'ichi

PY - 1982

Y1 - 1982

N2 - In this paper, comprehensive studies on load flow problems are shown. First, a new fact on a Taylor series expansion of load flow equations is discovered, and using the fact a fast second order load flow method is developed, which is currently one of the fastest load flow methods in the world. The method is from several to more than ten times faster than the conventionally-used Newton-Raphson method. Then, employing the newly-found fact a powerful method for preventing oscillation and divergence of load flow solutions is developed. The method can be easily incorporated into the normal Newton-Raphson type program (in rectangular form) as a simple subroutine of only about 20 steps. Finally, a practical approach is developed for finding operable multiple load flow solutions, since the load flow equations are nonlinear. Properties of multiple load flow solutions are investigated.

AB - In this paper, comprehensive studies on load flow problems are shown. First, a new fact on a Taylor series expansion of load flow equations is discovered, and using the fact a fast second order load flow method is developed, which is currently one of the fastest load flow methods in the world. The method is from several to more than ten times faster than the conventionally-used Newton-Raphson method. Then, employing the newly-found fact a powerful method for preventing oscillation and divergence of load flow solutions is developed. The method can be easily incorporated into the normal Newton-Raphson type program (in rectangular form) as a simple subroutine of only about 20 steps. Finally, a practical approach is developed for finding operable multiple load flow solutions, since the load flow equations are nonlinear. Properties of multiple load flow solutions are investigated.

UR - http://www.scopus.com/inward/record.url?scp=0020339828&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020339828&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0020339828

SP - 49

EP - 72

BT - Memoirs of the School of Science and Engineering, Waseda University

ER -