Coherence, vector Liapunov functions and large-scale power systems
- 1 March 1979
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 10 (3), 351-362
- https://doi.org/10.1080/00207727908941587
Abstract
Large-scale power systems considered in this paper can be decomposed into their coherent part of the reduced dimension and the non-coherent one. The coherence property of the former is used for the first hierarchical level aggregation of the system. A new system is obtained with essentially reduced order, which is then aggregated on the second hierarchical level by applying the vector Liapunov function concept of Bellman. A new vector Liapunov function aggregation form is developed to suit the properties of the coherent large-scale power systems, which require also usage of new comparison functions. As a result, a one-shoot stability test on the higher hierarchical level is established. The criterion is stated in terms of negative definiteness of a symmetric aggregation matrix of the order equal to the number of subsystems of the reduced order system. Essential order reduction is achieved. The theory developed in the paper is illustrated by an example.Keywords
This publication has 12 references indexed in Scilit:
- The application of Lyapunov methods to large power systems using decomposition and aggregation techniquesInternational Journal of Control, 1976
- Stability analysis of large-scale systems with stable and unstable subsystemsInternational Journal of Control, 1974
- Application of generalized Zubov's method to power system stability†International Journal of Control, 1974
- New Lyapunov functions for power systems based on minimal realizationsInternational Journal of Control, 1974
- Lyapunov methods applied to multimachine transient stability with variable inertia coefficientsProceedings of the Institution of Electrical Engineers, 1971
- Power System Dynamic EquivalentsIEEE Transactions on Power Apparatus and Systems, 1970
- Power System Transient Stability: Regions Using Popov's MethodIEEE Transactions on Power Apparatus and Systems, 1970
- The Application of Lyapunov Methods to the Computation of Transient Stability Regions for Multimachine Power SystemsIEEE Transactions on Power Apparatus and Systems, 1970
- Optimum lyapunov functions and stability regions for multimachine power systemsProceedings of the Institution of Electrical Engineers, 1970
- Transient Stability Regions of Multimachine Power SystemsIEEE Transactions on Power Apparatus and Systems, 1966