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

Ravish Himmatlal Hirpara and Shambhu Nath Sharma
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Ravish Himmatlal Hirpara: S.V. National Institute of Technology (SVNIT), Surat, India
Shambhu Nath Sharma: S.V. National Institute of Technology (SVNIT), Surat, India

International Journal of System Dynamics Applications (IJSDA), 2020, vol. 9, issue 1, 18-43

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jsda00:v:9:y:2020:i:1:p:18-43

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