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Article

# Nonlinear Predictive Control of a Hydropower System Model

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Institute of Water Resources and Hydropower Research, Northwest A&F University, Yangling 712100, China
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Entropy 2015, 17(9), 6129-6149; https://doi.org/10.3390/e17096129
Received: 15 June 2015 / Revised: 14 August 2015 / Accepted: 26 August 2015 / Published: 1 September 2015
(This article belongs to the Special Issue Applications of Information Theory in the Geosciences)
A six-dimensional nonlinear hydropower system controlled by a nonlinear predictive control method is presented in this paper. In terms of the nonlinear predictive control method; the performance index with terminal penalty function is selected. A simple method to find an appropriate terminal penalty function is introduced and its effectiveness is proved. The input-to-state-stability of the controlled system is proved by using the Lyapunov function. Subsequently a six-dimensional model of the hydropower system is presented in the paper. Different with other hydropower system models; the above model includes the hydro-turbine system; the penstock system; the generator system; and the hydraulic servo system accurately describing the operational process of a hydropower plant. Furthermore, the numerical experiments show that the six-dimensional nonlinear hydropower system controlled by the method is stable. In addition, the numerical experiment also illustrates that the nonlinear predictive control method enjoys great advantages over a traditional control method in nonlinear systems. Finally, a strategy to combine the nonlinear predictive control method with other methods is proposed to further facilitate the application of the nonlinear predictive control method into practice. View Full-Text
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MDPI and ACS Style

Zhang, R.; Chen, D.; Ma, X. Nonlinear Predictive Control of a Hydropower System Model. Entropy 2015, 17, 6129-6149. https://doi.org/10.3390/e17096129

AMA Style

Zhang R, Chen D, Ma X. Nonlinear Predictive Control of a Hydropower System Model. Entropy. 2015; 17(9):6129-6149. https://doi.org/10.3390/e17096129

Chicago/Turabian Style

Zhang, Runfan, Diyi Chen, and Xiaoyi Ma. 2015. "Nonlinear Predictive Control of a Hydropower System Model" Entropy 17, no. 9: 6129-6149. https://doi.org/10.3390/e17096129

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