Welcome to the InfoSci Platform
Reference Hub1
An Analysis of a Wind Turbine-Generator System in the Presence of Stochasticity and Fokker-Planck Equations

An Analysis of a Wind Turbine-Generator System in the Presence of Stochasticity and Fokker-Planck Equations

Ravish Himmatlal Hirpara, Shambhu Nath Sharma
Copyright: © 2020 |Volume: 9 |Issue: 1 |Pages: 26
ISSN: 2160-9772|EISSN: 2160-9799|EISBN13: 9781799807933|DOI: 10.4018/IJSDA.2020010102
Cite Article Cite Article

MLA

Hirpara, Ravish Himmatlal, and Shambhu Nath Sharma. "An Analysis of a Wind Turbine-Generator System in the Presence of Stochasticity and Fokker-Planck Equations." IJSDA vol.9, no.1 2020: pp.18-43. http://doi.org/10.4018/IJSDA.2020010102

APA

Hirpara, R. H. & Sharma, S. N. (2020). An Analysis of a Wind Turbine-Generator System in the Presence of Stochasticity and Fokker-Planck Equations. International Journal of System Dynamics Applications (IJSDA), 9(1), 18-43. http://doi.org/10.4018/IJSDA.2020010102

Chicago

Hirpara, Ravish Himmatlal, and Shambhu Nath Sharma. "An Analysis of a Wind Turbine-Generator System in the Presence of Stochasticity and Fokker-Planck Equations," International Journal of System Dynamics Applications (IJSDA) 9, no.1: 18-43. http://doi.org/10.4018/IJSDA.2020010102

Export Reference

Mendeley
Favorite Full-Issue Download

Abstract

In power systems dynamics and control literature, theoretical and practical aspects of the wind turbine-generator system have received considerable attentions. The evolution equation of the induction machine encompasses a system of three first-order differential equations coupled with two algebraic equations. After accounting for stochasticity in the wind speed, the wind turbine-generator system becomes a stochastic system. That is described by the standard and formal Itô stochastic differential equation. Note that the Itô process is a strong Markov process. The Itô stochasticity of the wind speed is attributed to the Markov modeling of atmospheric turbulence. The article utilizes the Fokker-Planck method, a mathematical stochastic method, to analyse the noise-influenced wind turbine-generator system by doing the following: (i) the authors develop the Fokker-Planck model for the stochastic power system problem considered here; (ii) the Fokker-Planck operator coupled with the Kolmogorov backward operator are exploited to accomplish the noise analysis from the estimation-theoretic viewpoint.