Mathematical reconsideration of number of variables in power flow computation

Seong-Deog Yang; Sang Joong Lee

doi:10.1007/s00202-016-0383-4

Mathematical reconsideration of number of variables in power flow computation

Seong-Deog Yang, Sang Joong Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1-4
Number of pages	4
Journal	Electrical Engineering
DOIs	https://doi.org/10.1007/s00202-016-0383-4
Publication status	Accepted/In press - 2016 Jul 9

Keywords

Angle reference
Bus angles
Power flow
Variables

ASJC Scopus subject areas

Applied Mathematics
Electrical and Electronic Engineering

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10.1007/s00202-016-0383-4

Cite this

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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.).",

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AB - 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.).

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KW - Bus angles

KW - Power flow

KW - Variables

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Mathematical reconsideration of number of variables in power flow computation

Abstract

Keywords

ASJC Scopus subject areas

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