scholarly journals Characteristics Analysis and Fuzzy Fractional-Order PID Parameter Optimization for Primary Frequency Modulation of a Pumped Storage Unit Based on a Multi-Objective Gravitational Search Algorithm

Energies ◽  
2019 ◽  
Vol 13 (1) ◽  
pp. 137 ◽  
Author(s):  
Xin Wu ◽  
Yanhe Xu ◽  
Jie Liu ◽  
Cong Lv ◽  
Jianzhong Zhou ◽  
...  
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Search Algorithm ◽  
Gravitational Search Algorithm ◽  
Storage Unit ◽  
Water Head ◽  
Pumped Storage ◽  
The Stability ◽  
Primary Frequency ◽  
Fractional Order Pid

Compared with conventional hydropower units, the pumped storage unit has the characteristics of diverse working conditions and frequent switching. Therefore, the stability and regulation quality of the primary frequency modulation transition process of the regulating system is very important. Due to the “S” characteristics of the pumped storage unit (PSU), the pumped storage unit regulating system has a strong nonlinearity, and the conventional proportional-integral-derivative (PID) controller cannot provide high-quality control under low water head conditions. In this paper, the nonlinear PSU model with an elastic water hammer effect is studied, and the fuzzy fractional-order PID (FFOPID) controller is designed to improve the stability of the system. The membership function and the control parameters of the fractional-order PID are optimized based on the multi-objective gravitational search algorithm (MOGSA). The experimental results show that the optimized design of the FFOPID controller has better control quality than the traditional PID controller, the fractional-order PID (FOPID) controller, and the fuzzy PID controller (FPID) when the system is disturbed by the rotating speed under low water head.

scholarly journals A rubust fractional order PID controller for MIMO power systems

2019 ◽  
Vol 87 ◽  
pp. 01024
Author(s):  
Vasampalli Shashidhar ◽  
Dola Gobinda Padhan
Keyword(s):  
Power Systems ◽  
Fractional Order ◽  
Pid Controller ◽  
Search Algorithm ◽  
Cuckoo Search ◽  
Distribution Networks ◽  
Cuckoo Search Algorithm ◽  
Search Optimization ◽  
Control Scheme ◽  
Fractional Order Pid

This paper proposes a novel fractional order PID control scheme for Multi Input and Multi Output (MIMO) power systems. This control scheme utilizes Cuckoo Search algorithm to tune the fractional PID controller to guarantee better closed loop performance in the transmission or distribution networks. Cuckoo Search optimization algorithm is proposed to optimize gain values of the fractional PID controller. The effectiveness of the proposed control strategy has been assessed by simulations in MATLAB/Simulink platform. The robustness of the proposed controller has been validated by varying the plant parameters.

scholarly journals Variable, Fractional-Order PID Controller Synthesis Novelty Method

2020 ◽  
Author(s):  
Piotr Ostalczyk ◽  
Piotr Duch
Keyword(s):  
Fractional Order ◽  
Pid Controller ◽  
Main Idea ◽  
Pid Controllers ◽  
Time Interval ◽  
Discrete Variable ◽  
Closed Loop Systems ◽  
The Stability ◽  
Fractional Order Pid ◽  
Fractional Order Pid Controller

The novelty method of the discrete variable, fractional order PID controller is proposed. The PID controllers are known for years. Many tuning continuous time PID controller methods are invented. Due to different performance criteria there are optimized three parameters: proportional, integral and differentiation gains. In the fractional order PID controllers there are two additional parameters: fractional order integration and differentiation. In the variable, fractional order PID controller fractional orders are generalized to functions. Nowadays all PID controllers are realized by microcontrollers in a discrete time version. Hence, the order functions are discrete variable bounded ones. Such controllers offer better transient characteristics of the closed loop systems. The choice of the order functions is still the open problem. In this Section a novelty intuitive idea is proposed. As the order functions one applies two spline functions with bounded functions defined for every time subinterval. The main idea is that in the final time interval the variable, fractional order PID controller transforms itself to the classical one preserving the stability conditions and zero steady-state error signal. This means that in the last time interval the discrete integration order is −1 and differentiation is 1.

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