Explicit load flow series and functions

Research output: Contribution to journalArticlepeer-review


When expressed in rectangular coordinates, the basic load flow equations consist of n quadratic equations for power in terms of n voltage variables. In this paper, a series reversion technique is employed to express the n voltage variables as an explicit-power series in the power variables. Two different series are presented. The first is a Taylor series for voltage in terms of power while the second has a fixed point iteration origin with near Newton properties. The series have the potential to generate explicit load flow functions which can evaluate alternate loading conditions very rapidly.

Original languageEnglish (US)
Pages (from-to)3754-3763
Number of pages10
JournalIEEE Transactions on Power Apparatus and Systems
Issue number8
StatePublished - Aug 1981

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Engineering(all)
  • Electrical and Electronic Engineering


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