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Entropy 2015, 17(9), 6129-6149; doi:10.3390/e17096129

Nonlinear Predictive Control of a Hydropower System Model

Institute of Water Resources and Hydropower Research, Northwest A&F University, Yangling 712100, China
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Author to whom correspondence should be addressed.
Academic Editor: Benjamin L. Ruddell
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)
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Abstract

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
Keywords: nonlinear predictive control; hydropower system; Lyapunov function; control method; stability nonlinear predictive control; hydropower system; Lyapunov function; control method; stability
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Zhang, R.; Chen, D.; Ma, X. Nonlinear Predictive Control of a Hydropower System Model. Entropy 2015, 17, 6129-6149.

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