The Research On The Modeling And Control Of Single-phase PWM Rectifier Based On Fractional

PWM rectifier is widely used in high power factor rectifier,high voltage DC transmission and four quadrant AC motor drive applications,because of the advantages of power factor controllable,bidirectional energy flow,grid side current harmonic small and DC output voltage constant.A series of fruitful research results have been obtained for the modeling,control and application of PWM rectifier.At present,these mathematical models in the field of power electronics are established by integral calculus,in other words,the dynamic characteristics of inductance and capacitance is expressed by the integer order differential equation.However,the integer order calculus for modeling of actual inductance and capacitance is not accurate.So,the fractional order mathematical model of single phase PWM rectifier and the design of the fractional order PI~?D~? controller is studied in this paper,based on the fact that the actual capacitance and the actual inductance are fractional order.This main contents are as follows:Firstly,this paper analyzed the mathematical model of the fractional order calculus is more accurate than the integer order calculus,in other words,the electrical characteristics of inductance and capacitance model can be reflect exactly by the establishment of the fractional calculus theory.The DC component size,AC component peak to peak size and dynamic response time are researched through the instantaneous power theory based on the fractional order mathematical model of single phase PWM rectifier,and the change rule of DC component and AC component,dynamic response time with the variation of the capacitance order number is derived.These studies have laid a preliminary theoretical foundation for the research of the subject.Secondly,on the basis of the above research,the fractional order PI~?D~?controller is designed to realize the control of the fractional order system of PWM rectifier,and the effectiveness of the proposed model and method is verified through the simulation.The aspect of dynamic response time and overshoot of the system is studied,and the results are compared with the integer order PID controller,it is concluded that the performance of the fractional order PI~?D~?controller is better than that of the integer order PID controller under the same condition.For the problem of multiple parameters in fractional order PI~?D~?controller,the time-consuming in adjustable parameter and not easily in realize the best performance,the particle swarm intelligence optimization algorithm is used to optimize the parameters of fractional order PI~?D~?controller in this paper,and realize the performance index optimal in the system.And the effectiveness of the proposed algorithm is verified by the simulation.Finally,a semi physical real-time simulation platform based on RT-lab are built based on a simulation model based on theoretical analysis and MATLAB/Simulink,and the correctness and validity of the modeling and control methods are proposed in this paper is further verified.