Power System Dynamic Security Region and Its Approximations

Dynamic security region (DSR) for security assessment and preventive control is defined in terms of variables that are under the control of the dispatcher prior to a fault. The boundary of DSR can be expressed using the function describing the stable manifold of the controlling unstable equilibrium point. The function is shown to be the solution of a partial differential equation. Quadratic and linear approximations to the function characterizing the boundary of DSR are derived. Numerical tests of the approximations are conducted. Potential applications of the method are discussed

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

[2]  P. Kundur,et al.  Power system stability and control , 1994 .

[3]  Daizhan Cheng,et al.  Calculation of stability region , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[4]  Shengwei Mei,et al.  Power system transient stability assessment based on quadratic approximation of stability region , 2006 .

[5]  Vijay Vittal,et al.  Stability boundary approximation of a power system using the real normal form of vector fields , 1997 .

[6]  Felix F. Wu,et al.  Dynamic security regions of power systems , 1982 .

[7]  Yixin Yu.  Security region of bulk power system , 2002, Proceedings. International Conference on Power System Technology.

[8]  Pravin Varaiya,et al.  Analytic expressions for the unstable manifold at equilibrium points in dynamical systems of differential equations , 1983, The 22nd IEEE Conference on Decision and Control.

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

[10]  Yuan Zeng,et al.  Differential topological characteristics of the DSR on injection space of electrical power system , 2002 .

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

[12]  H. H. Happ,et al.  Power System Control and Stability , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  Felix F. Wu,et al.  Stability regions of nonlinear autonomous dynamical systems , 1988 .

[14]  Shengwei Mei,et al.  Power System Transient Stability Assessment Based on Quadratic Approximation of Stability Region , 2005, 2005 IEEE/PES Transmission & Distribution Conference & Exposition: Asia and Pacific.

[15]  H. Yee,et al.  Transient stability analysis of multimachine power systems by the method of hyperplanes , 1977, IEEE Transactions on Power Apparatus and Systems.

[16]  Yixin Yu,et al.  A practical direct method for determining dynamic security regions of electrical power systems , 2002, Proceedings. International Conference on Power System Technology.

[17]  A. M. Eskicioglu,et al.  Transient stability analysis of electric power systems by the method of tangent hypersurfaces , 1983 .

[18]  Vaithianathan Venkatasubramanian,et al.  Numerical Approximation of (N - 1)-Dimensional Stable Manifolds in Large Systems Such as the Power System , 1996 .

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

[20]  M. Pavella,et al.  Transient stability of power systems: Theory and practice , 1994 .

[21]  K. R. Padiyar,et al.  ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILITY , 1990 .

[22]  S. Wiggins.  Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[23]  Shigehiro Ushiki,et al.  Analytic expressions of unstable manifolds , 1980 .