Title :
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
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;
Conference_Titel :
Power and Energy Society General Meeting, 2011 IEEE
Conference_Location :
San Diego, CA
Print_ISBN :
978-1-4577-1000-1
Electronic_ISBN :
1944-9925
DOI :
10.1109/PES.2011.6039188
