Construction of Lur'e type Lyapunov function with effect of magnetic flux decay
Abstract
In this paper a generalized stability criterion for a system with multi-argument nonlinearities is derived. The new criterion is based on Pai's work, and is proved along with Anderson's criterion. The new criterion makes it possible to construct a Lur'e type Liapunov function in a systematic way. The new criterion is applied to a multi-machine power system with magnetic flux decays of generators. A new Liapunov function is constructed in a well known manner established by Willems and other researchers. The new Liapunov function is similar to the one which has already been obtained for a system without the magnetic flux decays, except for a few points which will affect the transient stability of the system.
- Publication:
-
Kyoto University Faculty Engineering Memoirs
- Pub Date:
- April 1979
- Bibcode:
- 1979KyoMe..41..168K
- Keywords:
-
- Electric Power Plants;
- Liapunov Functions;
- Magnetic Flux;
- Magnetohydrodynamic Generators;
- Magnetohydrodynamic Stability;
- Decay Rates;
- Matrices (Mathematics);
- Nonlinear Equations;
- Plasma Control;
- Transfer Functions;
- Transient Response;
- Plasma Physics