Numerical simulation of Stochastic Differential Algebraic Equations for power system transient stability with random loads

Author

Wang, Keyou ; Crow, Mariesa L.

Author_Institution

Electr. & Comput. Eng., Missouri Univ. of Sci. & Technol., Rolla, MO, USA

fYear

2011

Firstpage

1

Lastpage

8

Abstract

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.

Keywords

differential algebraic equations; power system security; power system transient stability; stochastic processes; first order backward Euler method; power system transient stability simulation; random load; single machine infinite bus system; stochastic differential algebraic equation; stochastic differential equations; Convergence; Differential equations; Equations; Mathematical model; Numerical models; Power system stability; Stochastic processes; Backward Euler Integration; Monte Carlo Simulation; Power System Transient Stability Analysis; Stochastic Differential Algebraic Equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Power and Energy Society General Meeting, 2011 IEEE

Conference_Location

San Diego, CA

ISSN

1944-9925

Print_ISBN

978-1-4577-1000-1

Electronic_ISBN

1944-9925

Type

conf

DOI

10.1109/PES.2011.6039188

Filename

6039188