Numerical Simulation of Stochastic Differential Algebraic Equations for Power System Transient Stability with Random Loads
This paper summarizes numerical methods for Stochastic Differential Algebraic Equations (SDAEs) with which power system are modeled. The loads are modeled as random variables which appear in algebraic equations. The properties of numerical methods for Differential Algebraic Equations (DAE) and Stochastic Differential Equations (SDE) are reviewed and the first-order backward euler method is proposed for SDAE in power system transient stability simulation. Illustration examples are given on a single-machine-infinite-bus (SMIB) system.
K. Wang and M. Crow, "Numerical Simulation of Stochastic Differential Algebraic Equations for Power System Transient Stability with Random Loads," Proceedings of the 2011 IEEE Power & Energy Society General Meeting (2011, San Diego, CA), pp. 1-8, Institute of Electrical and Electronics Engineers (IEEE), Jul 2011.
The definitive version is available at https://doi.org/10.1109/PES.2011.6039188
2011 IEEE Power & Energy Society General Meeting (2011: Jul. 24-29, San Diego, CA)
Electrical and Computer Engineering
Keywords and Phrases
Convergence; Differential Equations; Equations; Mathematical Model; Numerical Models; Power System Stability; Stochastic Processes
International Standard Book Number (ISBN)
International Standard Serial Number (ISSN)
Article - Conference proceedings
© 2011 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Jul 2011