Abstract
This paper presents a new method to evaluate the stochastic dynamic model of the wind turbine system using stochastic differential equations (SDE). the wind speed is described by the Rayleigh distribution which is constructed as the stationary solution of a one-dimensional nonlinear SDE. the dynamic model of the wind turbine system can be combined with this SDE of wind speed to expand to multi-dimensional stochastic differential equations. the time evolution of the probability density function of the system is described by the Fokker-Planck equation (FPE) which can be derived from the corresponding stochastic differential equations. the procedure is illustrated using a constant-speed wind turbine model with squirrel cage induction generator. © 2012 IEEE.
Recommended Citation
K. Wang and M. L. Crow, "Fokker-planck Equation Application to Analysis of a Simplified Wind Turbine Model," 2012 North American Power Symposium, NAPS 2012, article no. 6336340, Institute of Electrical and Electronics Engineers, Dec 2012.
The definitive version is available at https://doi.org/10.1109/NAPS.2012.6336340
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Finite difference methods; Fokker-Planck equation; Probability density function; Stationary stochastic processes; Stochastic differential equations; Wind turbine generator
International Standard Book Number (ISBN)
978-146732308-6
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
10 Dec 2012
