Analysis of Power System Dynamics Subject to Stochastic Power Injections

作者：Dhople Sairaj V^*; Chen Yu Christine; DeVille Lee; Dominguez Garcia Alejandro D

来源：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2013, 60(12): 3341-3353.

DOI：10.1109/TCSI.2013.2265972

• Continuous time Markov chains (CTMCs)
• power system dynamics
• stochastic hybrid systems

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.

• 出版日期2013-12