PID Parameters Optimization Research for Hydro Turbine Governor by an Improved Fuzzy Particle Swarm Optimization Algorithm

Chen Gonggui1, 2, *, Du Yangwei2, Guo Yanyan3, Huang Shanwai2, Liu Lilan2
1 Key Laboratory of Industrial Wireless Network and Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2 Research Center on Complex Power System Analysis and Control, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China
3 The Department of Locomotive and Vehicle Engineering, Wuhan Railway Vocational College of Technology, Wuhan 430205, China

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© Gonggui et al.; Licensee Bentham Open

open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution-Non-Commercial 4.0 International Public License (CC BY-NC 4.0) (, which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.

* Address correspondence to this author at the Chongqing University of Posts and Telecommunications, Chongqing, P.R. China; Tel: +86 15696106539;


Parameter optimization of water turbine regulating system (WTRS) is decisive in providing support for the power quality and stability analysis of power system. In this paper, an improved fuzzy particle swarm optimization (IFPSO) algorithm is proposed and used to solve the optimization problem for WTRS under frequency and load disturbances conditions. The novel algorithm which is based on the standard particle swarm optimization (PSO) algorithm can speed up the convergence speed and improve convergence precision with combination of the fuzzy control thought and the crossover thought in genetic algorithm (GA). The fuzzy control is employed to get better dynamics of balance between global and local search capabilities, and the crossover operator is introduced to enhance the diversity of particles. Two different types of WTRS systems are built and analyzed in the simulation experiments. Furthermore, the sum of regulating time and another number that is the integral of sum for absolute value of system error and the squared governor output signal is considered as the fitness function of this algorithm. The simulation experiments for parameter optimization problem of WTRS system are carried out to confirm the validity and superiority of the proposed IFPSO, as compared to standard PSO, Ziegler Nichols (ZN) algorithm and fuzzy PID algorithm in terms of parameter optimization accuracy and convergence speed. The simulation results reveal that IFPSO significantly improves the dynamic performance of system under all of the running conditions.

Keywords: Crossover thought, Dynamic performance, Fuzzy control thought, Improved fuzzy particle swarm optimization (IFPSO), Water turbine regulating system.