Application of singular perturbation techniques to power system transient stability analysis

This work extends Lyapunov techniques for power system transient stability analysis to system models incorporating voltage magnitude variation, real and reactive power loads, and flux decay effects. A method of estimating the domain of attraction of an asymptotically stable equilibrium in the resulting system of differential equations with algebraic constraints is examined.

[1]  N. Levinson,et al.  Singular Perturbations of Non-Linear Systems of Differential Equations and an Associated Boundary Layer Equation , 1954 .

[2]  F. Hoppensteadt Singular perturbations on the infinite interval , 1966 .

[3]  M. Y. Akhtar Frequency-dependent dynamic, representation of induction-motor loads , 1968 .

[4]  Jan C. Willems,et al.  The Application of Lyapunov Methods to the Computation of Transient Stability Regions for Multimachine Power Systems , 1970 .

[5]  F. Illicico,et al.  Behavior of Loads During Voltage Dips Encountered in Stability Studies Field and Laboratory Tests , 1972 .

[6]  B. Stott,et al.  Power system dynamic response calculations , 1979, Proceedings of the IEEE.

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

[8]  L. Chua Dynamic nonlinear networks: State-of-the-art , 1980 .

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

[10]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[11]  M. Ribbens-Pavella,et al.  The acceleration approach to practical stability domain estimation in power systems , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[12]  Uppala Gudaru Transient stability regions for multimachine power systems by the direct method of liapunov , 1981 .

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

[14]  A. Fouad,et al.  Transient Stability of a Multi-Machine Power System Part I: Investigation of System Trajectories , 1981, IEEE Transactions on Power Apparatus and Systems.

[15]  S. Sastry,et al.  Jump behavior of circuits and systems , 1981, CDC 1981.