有源电力滤波器的状态误差PCH控制与仿真研究
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摘要
为减少电力系统网侧电流谐波并提高电网电能质量,本文采用状态误差端口受控哈密顿控制方法,实现对三相三线制有源电力滤波器的补偿电流实时控制和直流侧电压恒定控制。在dq旋转坐标系下,建立有源电力滤波器的PCH状态平均数学模型,构建了期望的闭环状态误差PCH系统,并根据系统的设计目标确定了系统期望平衡点;根据能量成形原理求出期望的闭环哈密顿PCH函数,并依据阻尼和互联配置设计了APF控制器。同时,运用比例积分控制(proportional integral control,PI)方法设计控制器,确保直流侧母线电压恒定。为了验证该控制策略的合理性,采用Matlab/Simulink软件进行仿真分析。仿真结果表明,基于状态误差PCH控制方法的有源电力滤波器对谐波起到了很好的抑制作用;在APF直流侧母线电压趋于恒定情况下,经过APF补偿的电力系统网侧电流中的谐波含量大大降低,达到控制目标,具有良好的稳态和动态控制性能。该研究具有一定的应用价值。
Base on a control method of the state error Port-Controlled Hamiltonian(PCH)systems,real-time compensation current control and constant dc voltage control of three-phase and three-wire Active Power Filter are realized in this paper.Firstly,the PCH state average mathematical model of active power filter is given in DQ rotating coordinate system,and the expected closed-loop state error PCH system is constructed.According to the design goal of the system,the desired equilibrium point of the system is determined.The desired Hamiltonian function is chosen based on the energy-shaping theory.The controller is designed through interconnection and damping assignment.At the same time,the proportional integral control(PI)method is used to design the controller to ensure the DC bus voltage constant.The simulation results show that the system achieves the desired control objectives and has good steady-state and dynamic control performance.
Base on a control method of the state error Port-Controlled Hamiltonian(PCH)systems,real-time compensation current control and constant dc voltage control of three-phase and three-wire Active Power Filter are realized in this paper.Firstly,the PCH state average mathematical model of active power filter is given in DQ rotating coordinate system,and the expected closed-loop state error PCH system is constructed.According to the design goal of the system,the desired equilibrium point of the system is determined.The desired Hamiltonian function is chosen based on the energy-shaping theory.The controller is designed through interconnection and damping assignment.At the same time,the proportional integral control(PI)method is used to design the controller to ensure the DC bus voltage constant.The simulation results show that the system achieves the desired control objectives and has good steady-state and dynamic control performance.
引文
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[18]梁志珊,邱银锋,魏学良.重复控制补偿的有源电力滤波器无源控制[J].电机与控制学报,2013,17(7):87-93.
[19]Yu H S,Yu J P,Liu J,et al.Nonlinear Control of Induction Motors Based on State Error PCH and Energy-Shaping Principle[J].Nonlinear Dynamics,2012,72(1):49-59.
[20]张立嘉,于海生.双馈感应电动机的状态误差端口哈密顿建模和控制[J].青岛大学学报:工程技术版,2012,27(4):29-35,65.
[2]高峰,林辉.变频电网有源电力滤波器的无源控制策略[J].电机与控制学报,2016,20(11):61-69.
[3]薛花,范月,王育飞.基于李雅普诺夫函数的并联型混合有源电力滤波器非线性控制方法[J].电工技术学报,2016,31(21):133-141.
[4]马草原,孙富华,朱蓓蓓,等.神经网络算法的改进及其在有源电力滤波器中的应用[J].电力系统保护与控制,2015,43(24):142-143.
[5]张栋梁,谢亚华,刘娟,等.基于遗传算法的有源电力滤波器滑模控制[J].电力系统保护与控制,2016,44(5):69-74.
[6]史丽萍,蔡儒军,陈丽兵,等.三相三线制有源滤波器的改进无差拍控制[J].电力系统保护与控制,2014,42(14):32-37.
[7]李满,钱平.基于空间矢量控制策略实现的有源电力滤波器的建模与分析[J].电力系统保护与控制,2014,42(15):87-93.
[8]乐江源,张志,赖小华.三相并联型有源电力滤波器预测直接功率控制[J].电机与控制学报,2012,16(5):86-90.
[9]Donaire A,Junco S.On the Addition of Integral Action to Port-Con-Trolled Hamiltonian Systems[J].Automatica,2009,45(8):1910-1916.
[10]王艳,于海生,于金鹏.永磁同步电机速度的滑模与哈密顿协调控制研究[J].青岛大学学报:工程技术版,2016,31(1):47-53.
[11]胡培杰,于海生.三相PWM整流器的哈密顿与滑模协调控制研究[J].青岛大学学报:工程技术版,2016,31(2):1-6,19.
[12]解洪超,于海生.永磁同步电动机的哈密顿控制与DSP实现[J].微特电机,2016,44(5):60-63.
[13]谷雨,于海生.三相PWM整流器PCH功率建模与变阻尼控制[J].青岛大学学报:工程技术版,2015,30(1):6-7.
[14]胡志坤,姜斌,李哲彬,等.三相有源电力滤波器滑模解耦控制方法研究[J].电机与控制学报,2014,18(9):87-92.
[15]徐群伟,钟晓剑,胡健,等.基于误差迭代PI和改进重复控制的APF补偿电流控制[J].电力系统自动化,2015,39(3):124-131.
[16]于海生,赵克友,郭雷,等.基于端口受控哈密顿方法的PMSM最大转矩/电流控制[J].中国电机工程学报,2006,26(8):82-87.
[17]Ortega R,Schaft A V D,Mashke B,et al.Interconnection and Damping Assignment Passivity-Based Control of Port-Controlled Hamiltonian Systems[J].Automatica,2002,38(4):585-596.
[18]梁志珊,邱银锋,魏学良.重复控制补偿的有源电力滤波器无源控制[J].电机与控制学报,2013,17(7):87-93.
[19]Yu H S,Yu J P,Liu J,et al.Nonlinear Control of Induction Motors Based on State Error PCH and Energy-Shaping Principle[J].Nonlinear Dynamics,2012,72(1):49-59.
[20]张立嘉,于海生.双馈感应电动机的状态误差端口哈密顿建模和控制[J].青岛大学学报:工程技术版,2012,27(4):29-35,65.