A new bifurcation analysis for power system dynamic voltage stability studies

Garng M. Huang, Liang Zhao, Xuefeng Song

Research output: Contribution to conferencePaper

29 Citations (Scopus)


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


Other2002 IEEE Power Engineering Society Winter Meeting
CountryUnited States
CityNew York, NY



  • 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.