title: Application of multi-objective controller to optimal tuning of PID gains for a hydraulic turbine regulating system using adaptive grid particle swam optimization.
abstract: A hydraulic turbine regulating system (HTRS) is one of the most important components of hydropower plant, which plays a key role in maintaining safety, stability and economical operation of hydro-electrical installations. At present, the conventional PID controller is widely applied in the HTRS system for its practicability and robustness, and the primary problem with respect to this control law is how to optimally tune the parameters, i.e. the determination of PID controller gains for satisfactory performance. In this paper, a kind of multi-objective evolutionary algorithms, named adaptive grid particle swarm optimization (AGPSO) is applied to solve the PID gains tuning problem of the HTRS system. This newly AGPSO optimized method, which differs from a traditional one-single objective optimization method, is designed to take care of settling time and overshoot level simultaneously, in which a set of non-inferior alternatives solutions (i.e. Pareto solution) is generated. Furthermore, a fuzzy-based membership value assignment method is employed to choose the best compromise solution from the obtained Pareto set. An illustrative example associated with the best compromise solution for parameter tuning of the nonlinear HTRS system is introduced to verify the feasibility and the effectiveness of the proposed AGPSO-based optimization approach, as compared with two another prominent multi-objective algorithms, i.e. Non-dominated Sorting Genetic Algorithm II (NSGAII) and Strength Pareto Evolutionary Algorithm II (SPEAII), for the quality and diversity of obtained Pareto solutions set. Consequently, simulation results show that this AGPSO optimized approach outperforms than compared methods with higher efficiency and better quality no matter whether the HTRS system works under unload or load conditions.
authors.affiliation: School of Hydropower and Information Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China.
authors.forename: Zhihuan
authors.initials: Z
authors.lastname: Chen
authors.affiliation: School of Resource and Environmental Engineering, Wuhan University of Technology, 430070 Wuhan, China.
authors.forename: Yanbin
authors.initials: Y
authors.lastname: Yuan
authors.affiliation: School of Hydropower and Information Engineering, Huazhong University of Science and Technology, 430074 Wuhan, China. Electronic address: yxh71@163.com.
authors.forename: Xiaohui
authors.initials: X
authors.lastname: Yuan
authors.affiliation: College of Electrical Engineering and New Energy, China Three Gorges University, 443002 Yichang, China.
authors.forename: Yuehua
authors.initials: Y
authors.lastname: Huang
authors.affiliation: College of Electrical Engineering and New Energy, China Three Gorges University, 443002 Yichang, China.
authors.forename: Xianshan
authors.initials: X
authors.lastname: Li
authors.affiliation: College of Electrical Engineering and New Energy, China Three Gorges University, 443002 Yichang, China.
authors.forename: Wenwu
authors.initials: W
authors.lastname: Li
keywords: Adaptive grid particle swarm optimization; Hydraulic turbine regulating system; Multi-objective; Non-dominated Sorting Genetic Algorithm II (NSGAII); Strength Pareto Evolutionary Algorithm II (SPEAII)