变系数分数阶PI控制的单相有源功率因数校正器
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摘要
单相有源功率因数校正(APFC)能够消除谐波电流对电网的污染。APFC采用电压外环、电流内环的双闭环控制结构,控制非常简单,但动态响应特性有待改善。在分析分数阶PID定义、分数阶PI控制器参数设计过程后,采用Oustaloup近似算法计算分数阶算子s~λ,从而在APFC中设计了一种电压外环和电流内环均采用分数阶PI控制的双闭环变系数分数阶PI控制器,以纯电阻负载为例进行了仿真分析,并与传统PI控制器的3种情况进行对比分析。结果表明,采用合适阶数的双闭环变系数分数阶PI控制可以使APFC获得良好的动态特性和静态特性。
Single-phase active power factor corrector(APFC) can eliminate harmonic current pollution to the grid.APFC uses a double closed-loop control structure with a voltage outer loop and a current inner loop.Although this control method is very simple,the dynamic response characteristics need to be improved.After analyzing the definition of fractional PID and the design process of fractional PI controller parameter,the fractional-order operator s~λ is calculated by using the Oustaloup approximation algorithm,so that a double closed-loop variable coefficient PI controller with a voltage outer loop and a current inner loop were designed in APFC to adopt fractional PI control.The pure resistive load was taken as an example for simulation analysis and compared with the three conditions of the traditional PI controller.The results demonstrate that the APFC can obtain good dynamic and static characteristics by adopting double closed-loop variable coefficient fractional PI control with proper order.
Single-phase active power factor corrector(APFC) can eliminate harmonic current pollution to the grid.APFC uses a double closed-loop control structure with a voltage outer loop and a current inner loop.Although this control method is very simple,the dynamic response characteristics need to be improved.After analyzing the definition of fractional PID and the design process of fractional PI controller parameter,the fractional-order operator s~λ is calculated by using the Oustaloup approximation algorithm,so that a double closed-loop variable coefficient PI controller with a voltage outer loop and a current inner loop were designed in APFC to adopt fractional PI control.The pure resistive load was taken as an example for simulation analysis and compared with the three conditions of the traditional PI controller.The results demonstrate that the APFC can obtain good dynamic and static characteristics by adopting double closed-loop variable coefficient fractional PI control with proper order.
引文
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[2] TORVIK P J,BAGLEY R L.On the appearance of the fractional derivative in the behavior of real materials[J].Journal of Applied Mechanics,1984,51(2):725-728.
[3] PODLUBNY I.Fractional order systems and PIλDμ-controllers[J].IEEE Trans:on Automatic Control,1999,44 (1):208-214.
[4] MONJE C A,VINAGRE B M,CHEN Y Q,et al.Proposals for fractional PIλDμ tuning[C]//The First IFAC Symposium on Fractional.Bordeaux,France:[s.n.],2004.
[5] ZHAO C,XUE D,CHEN Y Q.A fractional order PID tuning algorithm for a class of fractional order plants[C]//Mechatronics and Automation,2005 IEEE International Conference.IEEE,2005:216-221.
[6] PAN I,DAS S,GUPTA A.Handling packet dropouts and random delays for unstable delayed processes in NCS by optimal tuning of PIλDμ controllers with evolutionary algorithms[J].Isa Transactions,2011,50(4):557-572.
[7] CAO J,XIONG H,LEI D.LCL-type grid-connected inverter based on fractional-order PID control[C]//International Conference on Industrial Informatics - Computing Technology,Intelligent Technology,Industrial Information Integration.IEEE Computer Society,2017:227-230.
[8] XUE D,CHEN Y Q.A comparative introduction of four fractional order controllers[C]//Intelligent Control and Automation,2002.Proceedings of the,World Congress on.IEEE,2002:3228-3235.
[9] 黄勤,严贺彪,凌睿,等.锂电池组能量均衡的模糊-PI控制研究[J].计算机工程,2012,38(8):280-282.
[10] LI H S,LUO Y,CHEN Y Q.A fractional order proportional and derivative (FOPD) motion controller:tuning rule and experiments[J].IEEE Transactions on Control Systems Technology,2010,18(2):516-520.
[11] 薛定宇,赵春娜.分数阶系统的分数阶PID控制器设计[J].控制理论与应用,2007,24(5):771-776.
[12] OUSTALOUP A,SABATIER J,LANUSSE P.From fractal robustness to the CRONE control[J].Fractional Calculus & Applied Analysis,2007,2(1):1-30.