IEEJ Transactions on Power and Energy
Online ISSN : 1348-8147
Print ISSN : 0385-4213
ISSN-L : 0385-4213
Spatial Curve Tracing Technique for multi set of Load Flow Solution
Hiroyuki Sato
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1995 Volume 115 Issue 9 Pages 1046-1053


This paper describes a new method of the tracing technique of closed spatial curves relating to find multi set of solutions for load flow studies in higher precision. Numbers of 2n curves are defined in voltage coordinate system for a single set of load flow solution of the model network with n+1 nodes. Each closed curve involves two set of point which satisfies the set of load flow equations. Proposed curve tracing algorithm contains definition of starting point from a given solution, calculation of derivatives for coefficients of Taylor's series up to third order approxi-mation. estimation of a new point of distance ds from old one, correction of tracing error caused by truncation of Taylor's expansion and finding the separate set of load flow solution after several times of repetitions. The results show that 136 set of solution are obtained for Klos & Kerner's light loading model system, and that the method is more effective than others.

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