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

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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)

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.

Suggested Citation

  • Ravish Himmatlal Hirpara & Shambhu Nath Sharma, 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), IGI Global, vol. 9(1), pages 18-43, January.
    • Handle: RePEc:igg:jsda00:v:9:y:2020:i:1:p:18-43
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    Cited by:

    1. Aniket Agarwal & Kirti Pal, 2021. "Optimization of Unit Commitment Problem Using Genetic Algorithm," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 10(3), pages 21-37, July.
    2. Shailja Gupta & Manpreet Kaur & Sachin Lakra, 2022. "BERT-BU12 Hate Speech Detection Using Bidirectional Encoder-Decoder," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 11(2), pages 1-16, August.

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