Mathematical reconsideration of number of variables in power flow computation

Seong-Deog Yang, Sang Joong Lee

Research output: Contribution to journalArticle

Abstract

It has been conventionally believed that there exist 4n variables P, Q, V, (Formula presented.) for an n-bus system in the power flow computation, while we have 2n power flow equations. In this article, the authors argue that the number of variables in an n-bus system is not 4n but (Formula presented.), hence the power flow solution can be obtained without specifying the reference angle of the slack bus. We then deliver a mathematical reasoning why the number of variables in an n-bus system is not 4n but (Formula presented.).

Original languageEnglish
Pages (from-to)1-4
Number of pages4
JournalElectrical Engineering
DOIs
Publication statusAccepted/In press - 2016 Jul 9

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Keywords

  • Angle reference
  • Bus angles
  • Power flow
  • Variables

ASJC Scopus subject areas

  • Applied Mathematics
  • Electrical and Electronic Engineering

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