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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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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Abstract 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.
AbstractList 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.
Author Dhople, Sairaj V.
Chen, Yu Christine
DeVille, Lee
Dominguez-Garcia, Alejandro D.
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  givenname: Alejandro D.
  surname: Dominguez-Garcia
  fullname: Dominguez-Garcia, Alejandro D.
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  organization: Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
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Snippet 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...
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StartPage 3341
SubjectTerms Continuous time Markov chains (CTMCs)
Generators
Load modeling
Mathematical model
Power system dynamics
Reactive power
stochastic hybrid systems
Stochastic processes
Title Analysis of Power System Dynamics Subject to Stochastic Power Injections
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