Power System Transient Stability: Regions Using Popov's Method
- 1 May 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Power Apparatus and Systems
- Vol. PAS-89 (5) , 788-794
- https://doi.org/10.1109/tpas.1970.292635
Abstract
This paper applies Kalman's procedure for the construction of Lur'e-type Lyapunov functions to a single-machine system with and without a velocity governor. The procedure uses the theorem of Popov on the absolute stability of nonlinear systems. The Lyapunov function so derived is used for estimating the region of asymptotic stability of the postfault system. The method is applicable to a single-machine system with any type of governor that admits of a representation by linear dynamics, the order being immaterial. Numerical examples are given.Keywords
This publication has 15 references indexed in Scilit:
- The computation of finite stability regions by means of open Liapunov surfaces†International Journal of Control, 1969
- Transient stability of an a.c. generator by Lyapunov's direct methodInternational Journal of Control, 1968
- Application of results from the absolute stability problem to the computation of finite stability domainsIEEE Transactions on Automatic Control, 1968
- Stability of continuous time dynamical systems with m-feedback nonlinearities.AIAA Journal, 1967
- Finite Regions of Attraction for the Problem of Lur'eInternational Journal of Control, 1967
- The status of stability theory for deterministic systemsIEEE Transactions on Automatic Control, 1966
- Effect of Delayed Neutrons on the Stability of a Nuclear Power ReactorNuclear Science and Engineering, 1966
- LIAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'EProceedings of the National Academy of Sciences, 1965
- On the Stability of Nonlinear Feedback SystemsIEEE Transactions on Applications and Industry, 1964
- LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROLProceedings of the National Academy of Sciences, 1963