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Stability indices for randomly perturbed power systems

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
231
Identifiers
DOI: 10.1016/j.amc.2014.01.024
Keywords
  • Stochastic System
  • Stochastic Stability
  • Lyapunov Exponents
  • Moment Stability
  • Electric Power Systems
Disciplines
  • Mathematics

Abstract

Abstract This paper considers the stability of moments of stochastic systems, such as stability of the mean or mean-square stability. The exponential growth behavior of moments is compared to almost sure exponential growth via Lyapunov exponents. We develop a series of indices that are useful to describe system performance under random perturbations. The theory is applied to two examples, including an electric power system.

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