Power system voltage small-disturbance stability studies based on the power flow equation

Author(s): G.-Y. Cao and D.J. Hill
DOI: 10.1049/iet-gtd.2010.0016

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Author(s): G.-Y. Cao ¹ and D.J. Hill ²
- Affiliations: 1: Department of Electrical Engineering, Shanghai Jiao Tong University, Shanghai, People's Republic of China
  2: Department of Information Engineering, The Australian National University, Canberra, Australia
Source: Volume 4, Issue 7, July 2010, p. 873 – 882
DOI: 10.1049/iet-gtd.2010.0016 , Print ISSN 1751-8687, Online ISSN 1751-8695

This study first studies power system small-disturbance stability at the operating point where the power flow (PF) equation encounters a saddle-node bifurcation. The authors demonstrate that the linearised model of the differential–algebraic equation (DAE) that describes the power system dynamics will have a zero eigenvalue at the equilibrium precisely when the PF Jacobian is singular. Note that the PF equation and DAE models are general ones. This clarifies a point in previous contributions on this relationship. Numerical results for two power system examples are used to demonstrate the theory, and finally the extension of the theory is discussed for the limit-induced bifurcation associated with the PF equation when some generators reach their reactive power limits.

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Power system voltage small-disturbance stability studies based on the power flow equation

Power system voltage small-disturbance stability studies based on the power flow equation

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