Journal article
A generalized approach to the mean first passage time of a dynamic power system
International journal of systems science, v 24(11), pp 2097-2115
01 Nov 1993
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A stochastic approach to the security evaluation of a dynamic system is presented. The mean first passage time (MFPT) of a multi-dimensional system from its domain of attraction is defined as a security measure, and a closed form expression for the asymptotic estimate of the MFPT is derived. The proposed method encompasses various multi-dimensional dynamic systems, and the analysis of a power system model is used as a case study. The power system is represented by a multi-bus constant voltage, constant impedence model, and the assumption of low damping is waived to widen the application of the results. In this study, small perturbations in dynamic systems have been modelled as weak wideband gaussian coloured noises. Corresponding sensitivity results for a 19-bus power system are presented.
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Details
- Title
- A generalized approach to the mean first passage time of a dynamic power system
- Creators
- C. O. Nwankpa - Drexel UniversityS. M. Shahidehpour - Illinois Institute of TechnologyZ. Schuss - The Technological Institute, Northwestern University
- Publication Details
- International journal of systems science, v 24(11), pp 2097-2115
- Publisher
- Taylor & Francis Group
- Resource Type
- Journal article
- Language
- English
- Web of Science ID
- WOS:A1993MG42100009
- Scopus ID
- 2-s2.0-84914600116
- Other Identifier
- 991019319095604721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Automation & Control Systems
- Computer Science, Theory & Methods
- Operations Research & Management Science