A new bifurcation analysis for power system dynamic voltage stability studies

Garng Morton Huang, Liang Zhao, Xuefeng Song

Research output: Contribution to conferencePaper

28 Citations (Scopus)

Abstract

The dynamic of a large class of power systems can be represented by parameter dependent differential-algebraic models of the form X = f(x,y,p) and 0 = g(x,y,p). When the parameter p of the system (such as load of the system) changes, the stable equilibrium points may lose its dynamic stability at local bifurcation points. The systems will lose its stability at the feasibility boundary, which is caused by one of three different local bifurcations: the singularity induced bifurcation, saddle-node and Hopf bifurcation. In this paper the dynamic voltage stability of power system will be introduced and analyzed. Both the reduced and unreduced Jacobian matrix of the system are studied and compared. It is shown that the unreduced Jacobian matrix, whose eigen-structure matches well with the reduced one; and thus can be used for bifurcation analysis. In addition, the analysis avoids the singularity induced infinity problem, which may happen at reduced Jacobian matrix analysis, and is more computationally attractive.

Original languageEnglish
Pages882-887
Number of pages6
Publication statusPublished - 1 Jan 2002
Externally publishedYes
Event2002 IEEE Power Engineering Society Winter Meeting - New York, NY, United States
Duration: 27 Jan 200231 Jan 2002

Other

Other2002 IEEE Power Engineering Society Winter Meeting
CountryUnited States
CityNew York, NY
Period27/1/0231/1/02

Fingerprint

Jacobian matrices
Bifurcation (mathematics)
Voltage control
Dynamical systems
Hopf bifurcation

Keywords

  • Bifurcation
  • Differential-algebraic equations
  • Singularity
  • Voltage Collapse
  • Voltage Stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Huang, G. M., Zhao, L., & Song, X. (2002). A new bifurcation analysis for power system dynamic voltage stability studies. 882-887. Paper presented at 2002 IEEE Power Engineering Society Winter Meeting, New York, NY, United States.

A new bifurcation analysis for power system dynamic voltage stability studies. / Huang, Garng Morton; Zhao, Liang; Song, Xuefeng.

2002. 882-887 Paper presented at 2002 IEEE Power Engineering Society Winter Meeting, New York, NY, United States.

Research output: Contribution to conferencePaper

Huang, GM, Zhao, L & Song, X 2002, 'A new bifurcation analysis for power system dynamic voltage stability studies' Paper presented at 2002 IEEE Power Engineering Society Winter Meeting, New York, NY, United States, 27/1/02 - 31/1/02, pp. 882-887.
Huang GM, Zhao L, Song X. A new bifurcation analysis for power system dynamic voltage stability studies. 2002. Paper presented at 2002 IEEE Power Engineering Society Winter Meeting, New York, NY, United States.
Huang, Garng Morton ; Zhao, Liang ; Song, Xuefeng. / A new bifurcation analysis for power system dynamic voltage stability studies. Paper presented at 2002 IEEE Power Engineering Society Winter Meeting, New York, NY, United States.6 p.
@conference{e877901f22b34ec1ad78304f802b9ac8,
title = "A new bifurcation analysis for power system dynamic voltage stability studies",
abstract = "The dynamic of a large class of power systems can be represented by parameter dependent differential-algebraic models of the form X = f(x,y,p) and 0 = g(x,y,p). When the parameter p of the system (such as load of the system) changes, the stable equilibrium points may lose its dynamic stability at local bifurcation points. The systems will lose its stability at the feasibility boundary, which is caused by one of three different local bifurcations: the singularity induced bifurcation, saddle-node and Hopf bifurcation. In this paper the dynamic voltage stability of power system will be introduced and analyzed. Both the reduced and unreduced Jacobian matrix of the system are studied and compared. It is shown that the unreduced Jacobian matrix, whose eigen-structure matches well with the reduced one; and thus can be used for bifurcation analysis. In addition, the analysis avoids the singularity induced infinity problem, which may happen at reduced Jacobian matrix analysis, and is more computationally attractive.",
keywords = "Bifurcation, Differential-algebraic equations, Singularity, Voltage Collapse, Voltage Stability",
author = "Huang, {Garng Morton} and Liang Zhao and Xuefeng Song",
year = "2002",
month = "1",
day = "1",
language = "English",
pages = "882--887",
note = "2002 IEEE Power Engineering Society Winter Meeting ; Conference date: 27-01-2002 Through 31-01-2002",

}

TY - CONF

T1 - A new bifurcation analysis for power system dynamic voltage stability studies

AU - Huang, Garng Morton

AU - Zhao, Liang

AU - Song, Xuefeng

PY - 2002/1/1

Y1 - 2002/1/1

N2 - The dynamic of a large class of power systems can be represented by parameter dependent differential-algebraic models of the form X = f(x,y,p) and 0 = g(x,y,p). When the parameter p of the system (such as load of the system) changes, the stable equilibrium points may lose its dynamic stability at local bifurcation points. The systems will lose its stability at the feasibility boundary, which is caused by one of three different local bifurcations: the singularity induced bifurcation, saddle-node and Hopf bifurcation. In this paper the dynamic voltage stability of power system will be introduced and analyzed. Both the reduced and unreduced Jacobian matrix of the system are studied and compared. It is shown that the unreduced Jacobian matrix, whose eigen-structure matches well with the reduced one; and thus can be used for bifurcation analysis. In addition, the analysis avoids the singularity induced infinity problem, which may happen at reduced Jacobian matrix analysis, and is more computationally attractive.

AB - The dynamic of a large class of power systems can be represented by parameter dependent differential-algebraic models of the form X = f(x,y,p) and 0 = g(x,y,p). When the parameter p of the system (such as load of the system) changes, the stable equilibrium points may lose its dynamic stability at local bifurcation points. The systems will lose its stability at the feasibility boundary, which is caused by one of three different local bifurcations: the singularity induced bifurcation, saddle-node and Hopf bifurcation. In this paper the dynamic voltage stability of power system will be introduced and analyzed. Both the reduced and unreduced Jacobian matrix of the system are studied and compared. It is shown that the unreduced Jacobian matrix, whose eigen-structure matches well with the reduced one; and thus can be used for bifurcation analysis. In addition, the analysis avoids the singularity induced infinity problem, which may happen at reduced Jacobian matrix analysis, and is more computationally attractive.

KW - Bifurcation

KW - Differential-algebraic equations

KW - Singularity

KW - Voltage Collapse

KW - Voltage Stability

UR - http://www.scopus.com/inward/record.url?scp=0036082159&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036082159&partnerID=8YFLogxK

M3 - Paper

SP - 882

EP - 887

ER -