International Journal of Innovation and Scientific Research
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Analysis of Voltage Stability using HOPF Bifurcation in Power System

Volume 7, Issue 2, August 2014, Pages 131–139

 Analysis of Voltage Stability using HOPF Bifurcation in Power System

Ruchika Khare and Arunima Verma

Original language: English

Received 5 June 2014

Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper an attempt has been made for analysis of voltage stability using Hopf bifurcation in power system and a new formula for computing and loading of any power system is proposed with the help of using Bifurcation technique using VST Toolbox. Minimum Voltage of the feeders can also be maintained by allowing the feeders to take load growth up to a specific period of time. The critical values of total real power load (TPL) and total reactive power load (TQL) for constant power, constant current, constant impedance, composite as well as exponential load modeling is derived out for the substation voltage of power system. When any parameter changes, the stable Equilibrium points may lose its dynamic stability at the feasibility boundary, which is caused by one of three different local bifurcation the singularity induced bifurcation, saddle-node and Hopf bifurcation. After solving the Differential Algebraic Equation is calculated for different power condition using iterative process. Those results will help to find types of bifurcation, and after that to using MATLAB coding to analyzing HOPF bifurcation static and dynamic process with the help of two simple indices we detected oscillatory problems in power systems, based on the system state matrix as well as an augmented system matrix.

Author Keywords: Voltage stability, Static voltage stability, Dynamic voltage stability, voltage collapse, VST Toolbox.

How to Cite this Article

Ruchika Khare and Arunima Verma, “Analysis of Voltage Stability using HOPF Bifurcation in Power System,” International Journal of Innovation and Scientific Research, vol. 7, no. 2, pp. 131–139, August 2014.