Large disturbance voltage stability assessment using extended Lyapunov function and considering voltage dependent active loads

The main concern of this paper is the proposal of an extended Lyapunov function (ELF) for a power system model that does not have Lyapunov function in the usual sense. More precisely, an ELF is proposed for a network preserving model where both, the active and reactive load powers depend on voltage. Then the proposed ELF is used for short term stability analysis including voltage and angle instability phenomenon. The results show that the proposed function can be used to obtain good estimates of the critical clearing time.

[1]  Newton G. Bretas,et al.  Uniform Invariance Principle and Synchronization. Robustness with Respect to Parameter Variation , 2001 .

[2]  Pravin Varaiya,et al.  Foundations of direct methods for power system transient stability analysis , 1987 .

[3]  Vijay Vittal,et al.  Power System Transient Stability Analysis Using the Transient Energy Function Method , 1991 .

[4]  David J. Hill,et al.  Energy Functions, Transient Stability and Voltage Behaviour in Power Systems with Nonlinear Loads , 1989, IEEE Power Engineering Review.

[5]  Newton G. Bretas,et al.  Extended Lyapunov Functions for Detailed Power System Models , 2002 .

[6]  A.R. Bergen,et al.  A Structure Preserving Model for Power System Stability Analysis , 1981, IEEE Transactions on Power Apparatus and Systems.

[7]  Pravin Varaiya,et al.  Hierarchical stability and alert state steering control of interconnected power systems , 1980 .

[8]  Pravin Varaiya,et al.  A structure preserving energy function for power system transient stability analysis , 1985 .

[9]  Ian A. Hiskens,et al.  Lyapunov functions for multimachine power systems with dynamic loads , 1997 .

[10]  K. R. Padiyar,et al.  Modelling of SVC for stability evaluation using structure preserving energy function , 1994 .

[11]  K. L. Praprost,et al.  An energy function method for determining voltage collapse during a power system transient , 1994 .

[12]  Luís F. C. Alberto,et al.  Smooth perturbation on a classical energy function for lossy power system stability analysis , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[13]  K. R. Padiyar,et al.  Direct stability evaluation of power systems with detailed generator models using structure-preserving energy functions , 1989 .

[14]  N. Narasimhamurthi,et al.  A generalized energy function for transient stability analysis of power systems , 1984 .

[15]  Newton G. Bretas,et al.  On the invariance principle: generalizations and applications to synchronization , 2000 .

[16]  M. Pavella,et al.  Direct methods for studying dynamics of large-scale electric power systems - A survey , 1985, Autom..

[17]  Felix F. Wu,et al.  Foundations of the potential energy boundary surface method for power system transient stability analysis , 1988 .

[18]  Felix F. Wu,et al.  A BCU method for direct analysis of power system transient stability , 1994 .

[19]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[20]  Gerard Ledwich,et al.  Energy function for power systems with transmission losses , 1997 .

[21]  M. Kitagawa,et al.  An investigation of voltage instability problems , 1992 .

[23]  N. Bretas,et al.  Lyapunov function for power systems with transfer conductances: extension of the Invariance principle , 2003 .

[24]  Carson W. Taylor,et al.  Definition and Classification of Power System Stability , 2004 .

[25]  R. Podmore,et al.  A Practical Method for the Direct Analysis of Transient Stability , 1979, IEEE Transactions on Power Apparatus and Systems.

[26]  Chia-Chi Chu,et al.  Direct stability analysis of electric power systems using energy functions: theory, applications, and perspective , 1995, Proc. IEEE.

[27]  Yun Zou,et al.  Theoretical foundation of the controlling UEP method for direct transient-stability analysis of network-preserving power system models , 2003 .

[28]  V. Vittal,et al.  An improved technique to determine the controlling unstable equilibrium point in a power system , 1996 .

[29]  C. Cañizares.  Conditions for saddle-node bifurcations in AC/DC power systems , 1995 .

[30]  H. Schättler,et al.  Dynamics of large constrained nonlinear systems-a taxonomy theory [power system stability] , 1995 .

[31]  Fen Wu,et al.  Stability regions of nonlinear autonomous dynamical systems - eScholarship , 1988 .

[32]  David J. Hill,et al.  Incorporation of SVCs into energy function methods , 1992 .