电容中点式三相四线制SAPF混合无源非线性控制策略
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摘要
电容中点式三相四线制并联型有源滤波器(SAPF)相比于三相三线制SAPF,附加了零序电流通路,因而可在电网平衡/不平衡时补偿非线性负荷产生的各次谐波、零序及无功电流。利用SAPF的无源性对其进行非线性的无源控制(PBC)可取得较常规的线性和非线性控制器更好的补偿效果,且在电网不平衡时无需检测和处理谐波电流的正负序分量。文中提出了一种电容中点式三相四线制SAPF的混合无源控制策略。首先,根据被控对象SAPF在dq0坐标系下的EulerLagrange数学模型分析其无源性,并计算得到了能使被控量收敛至期望值的SAPF内环电流无源控制规律;然后,采用阻尼注入法对其进行简化,得到能使内环补偿电流完全解耦的新的无源控制规律,提高系统的动态性能;接着,根据直流侧总电压和差压与补偿电流存在紧密联系,设计了基于2阶低通滤波器控制的SAPF外环电压控制器;最后,通过Simulink软件仿真和实验验证了将文中混合PBC用于SAPF控制的可行性和优越性,相比于传统的比例—积分控制,所提出的控制方法有更快的响应速度和更好的补偿效果。
The three-phase four-wire shunt active power filter( SAPF) with mid-point capacitor can be used to compensate for all harmonics,zero sequence and reactive current of the nonlinear load no matter whether the power system is balanced or unbalanced because of the additional path for zero sequence current compared to three-phase three-wire SAPF. Control of SAPF via the nonlinear passive controller by using its passivity can yield a better compensating effect than the conventional linear and nonlinear controller. And there is no need of detection and treatment of the positive and negative sequence components of all harmonics when the power system is unbalanced. A hybrid passivity-based control( PBC) strategy of mid-point capacitor three-phase four-wire SAPF is proposed. Firstly,according to the Euler-Lagrange mathematical model of the controlled object in the dq0 coordinate system,the passivity of the SAPF is analyzed,and the passive control law of the inner-loop current of SAPF able to make the controlled quantity converge to the expected value is obtained. Secondly,the damping injection method is used to simplify the design of the system,and the new passive control law capable of completely decoupling the compensation current of the inner-loop is obtained as an improvement on the dynamic performance of the system. Thirdly,the outer-loop voltage controller of SAPF based on the 2-order low-pass filter is designed according to the close relation between the total and differential voltage at the DC side and compensating current. Finally,the feasibility and superiority of applying hybrid PBC to SAPF is verified by Simulink software simulation and experiment. Compared with the traditional PI control,the control method proposed in this paper has a faster response speed and better compensation effect.
The three-phase four-wire shunt active power filter( SAPF) with mid-point capacitor can be used to compensate for all harmonics,zero sequence and reactive current of the nonlinear load no matter whether the power system is balanced or unbalanced because of the additional path for zero sequence current compared to three-phase three-wire SAPF. Control of SAPF via the nonlinear passive controller by using its passivity can yield a better compensating effect than the conventional linear and nonlinear controller. And there is no need of detection and treatment of the positive and negative sequence components of all harmonics when the power system is unbalanced. A hybrid passivity-based control( PBC) strategy of mid-point capacitor three-phase four-wire SAPF is proposed. Firstly,according to the Euler-Lagrange mathematical model of the controlled object in the dq0 coordinate system,the passivity of the SAPF is analyzed,and the passive control law of the inner-loop current of SAPF able to make the controlled quantity converge to the expected value is obtained. Secondly,the damping injection method is used to simplify the design of the system,and the new passive control law capable of completely decoupling the compensation current of the inner-loop is obtained as an improvement on the dynamic performance of the system. Thirdly,the outer-loop voltage controller of SAPF based on the 2-order low-pass filter is designed according to the close relation between the total and differential voltage at the DC side and compensating current. Finally,the feasibility and superiority of applying hybrid PBC to SAPF is verified by Simulink software simulation and experiment. Compared with the traditional PI control,the control method proposed in this paper has a faster response speed and better compensation effect.
引文
[1]ACUNA P,MORAN L,RIVERA M,et al.Improved active power filter performance for renewable power generation systems[J].IEEE Trans on Power Electronics,2014,29(2):687-694.
[2]李达义,孙玉鸿,熊博,等.一种并联型有源电力滤波器的新型控制方法[J].电力系统自动化,2014,38(15):112-117.DOI:10.7500/AEPS20131030009.LI Dayi,SUN Yuhong,XIONG Bo,et al.A novel control method for shunt active power filter[J].Automation of Electric Power Systems,2014,38(15):112-117.DOI:10.7500/AEPS20131030009.
[3]周林,蒋建文,周雒维,等.基于单周控制的三相四线制有源电力滤波器[J].中国电机工程学报,2003,23(3):85-88.ZHOU Lin,JIANG Jianwen,ZHOU Luowei,et al.Three phase four-wire active power filter with one-cycle control[J].Proceedings of the CSEE,2003,23(3):85-88.
[4]韩伟,王大志,李云路,等.基于Lyapunov函数的混合型有源电力滤波器控制策略[J].控制理论与应用,2014,31(9):1174-1181.HAN Wei,WANG Dazhi,LI Yunlu,et al.Lyapunov-functionbased control strategy for hybrid active power filter[J].Control Theory&Applications,2014,31(9):1174-1181.
[5]KOMURCUGIL H.Improved passivity-based control method and its robustness analysis for single-phase uninterruptible power supply inverters[J].IET Power Electronics,2015,8(8):1558-1570.
[6]吕学志,康忠健,梅永超.基于无源性理论的电压不平衡条件下PWM整流器非线性控制策略[J].电力系统保护与控制,2013,41(6):71-76.LXuezhi,KANG Zhongjian,MEI Yongchao.Nonlinear control of PWM rectifier based on passivity theory under unbalanced grid voltage[J].Power System Protection and Control,2013,41(6):71-76.
[7]张振环,刘会金,李琼林,等.基于欧拉-拉格朗日模型的单相有源电力滤波器无源性控制新方法[J].中国电机工程学报,2008,28(9):37-44.ZHANG Zhenhuan,LIU Huijin,LI Qionglin,et al.A novel passivity-based control algorithm for single-phase active power filter using Euler-Lagrange model[J].Proceedings of the CSEE,2008,28(9):37-44.
[8]唐忠,江颖达,姚永生,等.三相四线制电容中点式并联有源电力滤波器直流侧电压控制[J].电测与仪表,2011,48(5):41-44.TANG Zhong,JIANG Yingda,YAO Yongsheng,et al.Direct-side voltage control of mid-point capacitor three-phase four-wire shunt active power filter[J].Electrical Measurement&Instrumentation,2011,48(5):41-44.
[9]梁营玉,刘建政,许杏桃,等.基于电源电流和负载电流检测的前馈加反馈的三相四线制APF控制策略[J].电力自动化设备,2015,35(1):94-100.LIANG Yingyu,LIU Jianzheng,XU Xingtao,et al.Feedforwardfeedback control strategy based on detection of power current and load current for three-phase four-wire APF[J].Electric Power Automation Equipment,2015,35(1):94-100.
[10]郑丹,廖敏,刘振权.三相四线有源电力滤波器的三闭环控制策略[J].电力系统保护与控制,2014,42(22):95-99.ZHENG Dan,LIAO Min,LIU Zhenquan.Three closed loops control strategy of three-phase four-wire active power filter[J].Power System Protection and Control,2014,42(22):95-99.
[11]GUO X Q,GUERRERO J M.Abc-frame complex-coefficient filter and controller based current harmonic elimination strategy for threephase grid connected inverter[J].Journal of Modern Power Systems and Clean Energy,2016,4(1):87-93.
[12]王久和,杨秀媛.电网不平衡时电压型PWM整流器控制策略[J].中国电机工程学报,2011,31(18):14-20.WANG Jiuhe,YANG Xiuyuan.Control strategy of voltage source PWM rectifiers under unbalanced voltage conditions[J].Proceedings of the CSEE,2011,31(18):14-20.
[13]杨新华,谢兴峰,马建立,等.并联有源滤波器的一种高可靠性控制策略[J].电力系统自动化,2015,39(5):128-133.DOI:10.7500/AEPS20140812008.YANG Xinhua,XIE Xingfeng,MA Jianli,et al.A high-reliability control strategy for shunt active filter[J].Automation of Electric Power Systems,2015,39(5):128-133.DOI:10.7500/AEPS20140812008.
[14]鲁伟,徐长波,李春文.并联混合有源滤波器哈密顿系统建模及无源控制[J].控制理论与应用,2012,29(11):1397-1402.LU Wei,XU Changbo,LI Chunwen.Hamilton modeling and passivity-based control of shunt hybrid active power filter[J].Control Theory&Applications,2012,29(11):1397-1402.
[15]唐骐,王久和,胡经纬.三态Boost型DC/DC变换器的无源控制方法[J].中国电机工程学报,2013,33(增刊1):171-175.TANG Qi,WANG Jiuhe,HU Jingwei.Passivity-based control method of the tri-state Boost DC/DC converter[J].Proceedings of the CSEE,2013,33(Supplement 1):171-175.
[16]薛花,姜建国.基于无源性的并联型有源电力滤波器控制策略[J].电力系统自动化,2006,30(22):12-15.XUE Hua,JIANG Jianguo.Passivity-based control strategies of shunt active power filters[J].Automation of Electric Power Systems,2006,30(22):12-15.
[17]LIU Zhitao,DU Jiani.Adaptive passivity-based control for speed regulation of permanent magnet synchronous motor[C]//IEEE 9th Conference on Industrial Electronics and Applications,June 9-11,2014,Hangzhou,China:5p.
[18]CHOI W H,LAM C S,WONG M C,et al.Analysis of DC-link voltage controls in three-phase four-wire hybrid active power filters[J].IEEE Trans on Power Electronics,2013,28(5):2180-2191.
[19]冯霞,钟晓剑,徐群伟,等.新型三相四线制APF直流电压控制策略[J].浙江大学学报(工学版),2014,48(7):1312-1317.FENG Xia,ZHONG Xiaojian,XU Qunwei,et al.Novel DC bus voltage control strategy for three-phase four-wire active power filter[J].Journal of Zhejiang University(Engineering Science),2014,48(7):1312-1317.
[2]李达义,孙玉鸿,熊博,等.一种并联型有源电力滤波器的新型控制方法[J].电力系统自动化,2014,38(15):112-117.DOI:10.7500/AEPS20131030009.LI Dayi,SUN Yuhong,XIONG Bo,et al.A novel control method for shunt active power filter[J].Automation of Electric Power Systems,2014,38(15):112-117.DOI:10.7500/AEPS20131030009.
[3]周林,蒋建文,周雒维,等.基于单周控制的三相四线制有源电力滤波器[J].中国电机工程学报,2003,23(3):85-88.ZHOU Lin,JIANG Jianwen,ZHOU Luowei,et al.Three phase four-wire active power filter with one-cycle control[J].Proceedings of the CSEE,2003,23(3):85-88.
[4]韩伟,王大志,李云路,等.基于Lyapunov函数的混合型有源电力滤波器控制策略[J].控制理论与应用,2014,31(9):1174-1181.HAN Wei,WANG Dazhi,LI Yunlu,et al.Lyapunov-functionbased control strategy for hybrid active power filter[J].Control Theory&Applications,2014,31(9):1174-1181.
[5]KOMURCUGIL H.Improved passivity-based control method and its robustness analysis for single-phase uninterruptible power supply inverters[J].IET Power Electronics,2015,8(8):1558-1570.
[6]吕学志,康忠健,梅永超.基于无源性理论的电压不平衡条件下PWM整流器非线性控制策略[J].电力系统保护与控制,2013,41(6):71-76.LXuezhi,KANG Zhongjian,MEI Yongchao.Nonlinear control of PWM rectifier based on passivity theory under unbalanced grid voltage[J].Power System Protection and Control,2013,41(6):71-76.
[7]张振环,刘会金,李琼林,等.基于欧拉-拉格朗日模型的单相有源电力滤波器无源性控制新方法[J].中国电机工程学报,2008,28(9):37-44.ZHANG Zhenhuan,LIU Huijin,LI Qionglin,et al.A novel passivity-based control algorithm for single-phase active power filter using Euler-Lagrange model[J].Proceedings of the CSEE,2008,28(9):37-44.
[8]唐忠,江颖达,姚永生,等.三相四线制电容中点式并联有源电力滤波器直流侧电压控制[J].电测与仪表,2011,48(5):41-44.TANG Zhong,JIANG Yingda,YAO Yongsheng,et al.Direct-side voltage control of mid-point capacitor three-phase four-wire shunt active power filter[J].Electrical Measurement&Instrumentation,2011,48(5):41-44.
[9]梁营玉,刘建政,许杏桃,等.基于电源电流和负载电流检测的前馈加反馈的三相四线制APF控制策略[J].电力自动化设备,2015,35(1):94-100.LIANG Yingyu,LIU Jianzheng,XU Xingtao,et al.Feedforwardfeedback control strategy based on detection of power current and load current for three-phase four-wire APF[J].Electric Power Automation Equipment,2015,35(1):94-100.
[10]郑丹,廖敏,刘振权.三相四线有源电力滤波器的三闭环控制策略[J].电力系统保护与控制,2014,42(22):95-99.ZHENG Dan,LIAO Min,LIU Zhenquan.Three closed loops control strategy of three-phase four-wire active power filter[J].Power System Protection and Control,2014,42(22):95-99.
[11]GUO X Q,GUERRERO J M.Abc-frame complex-coefficient filter and controller based current harmonic elimination strategy for threephase grid connected inverter[J].Journal of Modern Power Systems and Clean Energy,2016,4(1):87-93.
[12]王久和,杨秀媛.电网不平衡时电压型PWM整流器控制策略[J].中国电机工程学报,2011,31(18):14-20.WANG Jiuhe,YANG Xiuyuan.Control strategy of voltage source PWM rectifiers under unbalanced voltage conditions[J].Proceedings of the CSEE,2011,31(18):14-20.
[13]杨新华,谢兴峰,马建立,等.并联有源滤波器的一种高可靠性控制策略[J].电力系统自动化,2015,39(5):128-133.DOI:10.7500/AEPS20140812008.YANG Xinhua,XIE Xingfeng,MA Jianli,et al.A high-reliability control strategy for shunt active filter[J].Automation of Electric Power Systems,2015,39(5):128-133.DOI:10.7500/AEPS20140812008.
[14]鲁伟,徐长波,李春文.并联混合有源滤波器哈密顿系统建模及无源控制[J].控制理论与应用,2012,29(11):1397-1402.LU Wei,XU Changbo,LI Chunwen.Hamilton modeling and passivity-based control of shunt hybrid active power filter[J].Control Theory&Applications,2012,29(11):1397-1402.
[15]唐骐,王久和,胡经纬.三态Boost型DC/DC变换器的无源控制方法[J].中国电机工程学报,2013,33(增刊1):171-175.TANG Qi,WANG Jiuhe,HU Jingwei.Passivity-based control method of the tri-state Boost DC/DC converter[J].Proceedings of the CSEE,2013,33(Supplement 1):171-175.
[16]薛花,姜建国.基于无源性的并联型有源电力滤波器控制策略[J].电力系统自动化,2006,30(22):12-15.XUE Hua,JIANG Jianguo.Passivity-based control strategies of shunt active power filters[J].Automation of Electric Power Systems,2006,30(22):12-15.
[17]LIU Zhitao,DU Jiani.Adaptive passivity-based control for speed regulation of permanent magnet synchronous motor[C]//IEEE 9th Conference on Industrial Electronics and Applications,June 9-11,2014,Hangzhou,China:5p.
[18]CHOI W H,LAM C S,WONG M C,et al.Analysis of DC-link voltage controls in three-phase four-wire hybrid active power filters[J].IEEE Trans on Power Electronics,2013,28(5):2180-2191.
[19]冯霞,钟晓剑,徐群伟,等.新型三相四线制APF直流电压控制策略[J].浙江大学学报(工学版),2014,48(7):1312-1317.FENG Xia,ZHONG Xiaojian,XU Qunwei,et al.Novel DC bus voltage control strategy for three-phase four-wire active power filter[J].Journal of Zhejiang University(Engineering Science),2014,48(7):1312-1317.