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Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station

Author

Listed:
  • O. A. Rosas-Jaimes
  • G. A. Munoz-Hernandez
  • G. Mino-Aguilar
  • J. Castaneda-Camacho
  • C. A. Gracios-Marin

Abstract

In this paper a Fractional PID Control is presented. This control was designed for a hydropower plant with six generation units working in an alternation scheme. The parameters and other features of such a set of hydrogeneration units have been used to perform the respective tuning up. In order to assess the behavior of this controlled system, a model of such nonlinear plant is regulated through a classical PID by classical linearization of its set points, and then a pseudo-derivative part is substituted into a Fractional PID. Both groups of signals contain variations of voltage suggesting some abrupt changes in the supply of electricity fed to the network. Both sets of resulting signals are compared; the simulations show that the Fractional PID has a faster response with respect to those plots obtained from the classical PID used.

Suggested Citation

  • O. A. Rosas-Jaimes & G. A. Munoz-Hernandez & G. Mino-Aguilar & J. Castaneda-Camacho & C. A. Gracios-Marin, 2019. "Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station," Complexity, Hindawi, vol. 2019, pages 1-15, January.
    • Handle: RePEc:hin:complx:9367291
    DOI: 10.1155/2019/9367291
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    References listed on IDEAS

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    1. Shuang Li & Yong Yang & Qing Xia, 2018. "Dynamic Safety Assessment in Nonlinear Hydropower Generation Systems," Complexity, Hindawi, vol. 2018, pages 1-8, April.
    2. Xu, Beibei & Chen, Diyi & Zhang, Hao & Wang, Feifei, 2015. "Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 50-61.
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    Cited by:

    1. Adrian Gambier, 2021. "Pitch Control of Three Bladed Large Wind Energy Converters—A Review," Energies, MDPI, vol. 14(23), pages 1-24, December.

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