DocumentCode :
32371
Title :
Analysis of Power System Dynamics Subject to Stochastic Power Injections
Author :
Dhople, Sairaj V. ; Chen, Yu Christine ; DeVille, Lee ; Dominguez-Garcia, Alejandro D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA
Volume :
60
Issue :
12
fYear :
2013
fDate :
Dec. 2013
Firstpage :
3341
Lastpage :
3353
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.
Keywords :
Markov processes; differential algebraic equations; power system reliability; reactive power; CTMC; DAE model; algebraic state moments; continuous-time Markov chain; differential algebraic equation; electromechanical phenomena; linearized DAE model; long-term power system state statistics; ordinary differential equations; power system dynamics analysis; reliability assessment; short-term probabilistic dynamic performance; stochastic active-reactive power injections; stochastic hybrid system; stochastic power injections; Generators; Load modeling; Mathematical model; Power system dynamics; Reactive power; Stochastic processes; Continuous time Markov chains (CTMCs); power system dynamics; stochastic hybrid systems;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
Publisher :
ieee
ISSN :
1549-8328
Type :
jour
DOI :
10.1109/TCSI.2013.2265972
Filename :
6557091
Link To Document :
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