Abstract
Fractional order Proportional-Integral-Derivative (PID) controller is composed of a number of integer order PID controllers. It is more accurate to control the complex system than the traditional integer order PID controller. The values of parameters of the fractional order PID controller play a decisive role for the control effect. Because the fractional order PID controller added two adjustable parameters than the traditional PID controller, it is very difficult to tune parameters. So the Back Propagation (BP) neural network is selected to optimize the parameters of the fractional order PID controller in order to obtain the high performance. Then the optimized fractional order PID controller and the traditional PID controller are used to control AC motor speed governing system. And the vibration spectrum and stator current spectrum under different rotating speeds are compared and analyzed in detail. The results show that the optimized fractional order PID controller has better vibration suppression performance than the traditional PID controller. The reason is that the optimized fractional order PID controller changed the stator current component, and further changed the frequency components and the amplitude of the vibration signal of the motor.
Highlights
In the vast mechanical devices and system dynamics, the vibration is inevitable
In order to verify the vibration suppression effectiveness of the optimal fractional order PID controller, the 15 kW AC motor is used as the research object, and the traditional PID controller is used to compare with the optimal fractional order PID controller
The fractional order PID controller is one of the most commonly used fractional order controller. Because it has more than two parameters than the integer order PID controller, which makes that it is difficult to tune the parameters of the fractional order PID controller
Summary
In the vast mechanical devices and system dynamics, the vibration is inevitable. It can be seen in the engineering and daily life [1]. AN OPTIMIZED FRACTIONAL ORDER PID CONTROLLER FOR SUPPRESSING VIBRATION OF AC MOTOR. Alagoz et al [17] proposed a stochastic, multi-parameter, divergence optimization method for the auto-tuning of proportional-integral-derivative (PID) controllers according to a fractional-order reference model. Yeroglu et al [18] proposed a stochastic multi-parameters divergence method for online parameter optimization of fractional-order proportional-integral- derivative (PID) controllers. Sudalaiandi et al [19] proposed an automatic tuning of multivariable Fractional-Order Proportional, Integral and Derivative controller(FO-PID) parameters using Covariance Matrix Adaptation Evolution Strategy (CMAES) algorithm. Mohamed et al [28] proposed a non-collocated proportional-integral-derivative (PID) controller based on input shaping techniques for vibration suppression. Sun et al [34] proposed two-parameter fractional-order model of viscoelastic material to derive the fractional-order dynamics of rigid-flexible coupling structures to simplify the modeling and controller design for residual vibration suppression. The vibration frequency spectrum in different frequency band are compared by using the optimized fractional order PID controller and traditional PID controller for controlling 15 KW motor in order to testify effectiveness of vibration suppression performance
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