Analysis of Power System Dynamics Subject to Stochastic Power Injections

We propose a framework to study the impact of stochastic active/reactive power injections on power system dynamics with a focus on time scales involving electromechanical phenomena. In this framework, the active/reactive power injections evolve according to a continuous-time Markov chain (CTMC), whi...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 60; no. 12; pp. 3341 - 3353
Main Authors Dhople, Sairaj V., Chen, Yu Christine, DeVille, Lee, Dominguez-Garcia, Alejandro D.
Format Journal Article
LanguageEnglish
Published IEEE 01.12.2013
Subjects
Continuous time Markov chains (CTMCs)
Generators
Load modeling
Mathematical model
Power system dynamics
Reactive power
stochastic hybrid systems
Stochastic processes
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Summary:We propose a framework to study the impact of stochastic active/reactive power injections on power system dynamics with a focus on time scales involving electromechanical phenomena. In this framework, the active/reactive power injections evolve according to a continuous-time Markov chain (CTMC), while the power system dynamics are described by the standard differential algebraic equation (DAE) model. The DAE model is linearized around a nominal set of active/reactive power injections, and the combination of the linearized DAE model and the CTMC forms a stochastic process known as a stochastic hybrid system (SHS). The extended generator of the SHS yields a system of ordinary differential equations that governs the evolution of the power system dynamic and algebraic state moments. We illustrate the application of the framework to the computation of long-term power system state statistics, and to short-term probabilistic dynamic performance/reliability assessment.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2013.2265972