A general Liapunov function for multi-machine power systems with transfer conductances
- 1 February 1975
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 21 (2) , 333-343
- https://doi.org/10.1080/00207177508921991
Abstract
This paper deals with a general Liapunov function for multi-machine power systems taking into account the effects of damping and transfer conductances. The n-machine power system is described by variables of order (2n—1) in the minimal state spaco. The derivation follows from the Liapunov theory and the generalized Popov criterion for multi-variable feedback systems due to Anderson. The criterion of Willems for the optimum Liapunov function is incorporated and hence it yields a large transient stability region. The same function is suitable with proper substitutions to study the cases of a power system with non-uniform or uniform damping either with or without the effect of transfer conductances.Keywords
This publication has 5 references indexed in Scilit:
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