三相并网逆变器的混杂自动机模型分析
|
摘要
针对三相并网逆变器中电流谐波大和发生扰动后系统动态响应时间较长的问题,提出一种基于混杂自动机模型的控制器设计方法,并在此基础上提出了基于有限时间稳定的稳定性分析方法.首先,针对给定的三相逆变器,建立基于开关函数的状态方程;然后,在此基础上根据三相逆变器的工作模态,从适当增加工频周期的切换区间和减小电流谐波的角度建立混杂自动机模型,并将1个工频周期按三相母线电压大小划分为12个区间,从而得到相应的控制规则;最后,根据有限时间稳定的方法对改进后的基于混杂自动机模型的控制器进行稳定性分析.仿真结果与实验结果验证了所提出的自动机模型及其控制器能够有效降低并网电流的谐波畸变率,使其低于0.56%,并且能够有效增强系统的抗干扰能力.
A new controller design method based on hybrid automaton model is proposed to solve the problem that grid current harmonics is large and the dynamic response time is long after the disturbance happens in the three-phase inverter, and a stability analysis method based on finite time stability is proposed on this basis. First of all, for a certain three-phase inverter, the state equations based on switching function are established. Then, on the basis of the working mode of the three-phase inverter, the hybrid automaton model is established from the angle of changing the switching range of the power frequency cycle and reducing the current harmonics. And the bus voltage is divided into 12 intervals to get the corresponding control rules. Finally, the stability analysis of the improved controller based on the hybrid automaton model is carried out according to the finite time stabilization method. The simulation results verify that the proposed automaton model and its controller can effectively reduce the harmonic distortion rate of the grid current to less than 0.56%. Furthermore, dynamic regulation time can be reduced when disturbance occurs.
A new controller design method based on hybrid automaton model is proposed to solve the problem that grid current harmonics is large and the dynamic response time is long after the disturbance happens in the three-phase inverter, and a stability analysis method based on finite time stability is proposed on this basis. First of all, for a certain three-phase inverter, the state equations based on switching function are established. Then, on the basis of the working mode of the three-phase inverter, the hybrid automaton model is established from the angle of changing the switching range of the power frequency cycle and reducing the current harmonics. And the bus voltage is divided into 12 intervals to get the corresponding control rules. Finally, the stability analysis of the improved controller based on the hybrid automaton model is carried out according to the finite time stabilization method. The simulation results verify that the proposed automaton model and its controller can effectively reduce the harmonic distortion rate of the grid current to less than 0.56%. Furthermore, dynamic regulation time can be reduced when disturbance occurs.
引文
[1] 王立建, 王明渝, 刘洋, 等. 一种新型的电压源逆变器并联控制策略[J]. 电力系统保护与控制, 2012, 40(2): 51-55. WANG Lijian, WANG Mingyu, LIU Yang, et al. A novel control strategy for parallel operation of voltage source inverter[J]. Power System Protection and Control, 2012, 40(2): 51-55.
[2] AYACHIT A, REATTI A, KAZIMIERCZUK M K. Small-signal modeling of PWM dual-SEPIC dc-dc converter by circuit averaging technique[C]//IECON 2016 Florence, Conference of the IEEE Industrial Electronics Society. Italy: IEEE, 2016: 3606-3611.
[3] 全相军, 窦晓波, 吴在军, 等. 三相并网逆变器改进状态反馈控制器设计[J]. 中国电机工程学报, 2016, 36(18): 4953-4961. QUAN Xiangjun, DOU Xiaobo, WU Zaijun et al. The design of improved state feedback controller for current control of three-phase grid-tied inverter[J]. Proceedings of the CSEE, 2016, 36(18): 4953-4961.
[4] 游国栋, 李继生, 侯勇, 等. 单相光伏并网逆变器的反步滑模控制策略[J]. 电网技术, 2015, 39(4): 916-923. YOU Guodong, LI Jisheng, HOU Yong, et al. Sliding-mode control strategies of grid-connected inverters in micro-grid containing unbalanced loads [J]. Power System Technology, 2015, 39(4): 916-923.
[5] CHATURVEDI D K, PREMDAYAL S A. Neural-wavelet based hybrid model for short-term load forecasting[J]. Control Theory & Informatics, 2013, 3(2): 42-45.
[6] GE Y, CHEN Y, ZHANG G. Longitudinal control of intelligent vehicle based on hybrid automata model[C]//Intelligent Control and Automation. Beijing, China: IEEE, 2012: 1848-1853.
[7] ALBEA C, GARCIA G, ZACCARIAN L. Hybrid dynamic modeling and control of switched affine systems: Application to DC-DC converters[C]//IEEE Conference on Decision and Control. Osaka, Japan: IEEE, 2015: 2264-2269.
[8] 高明远. 双向DC-DC变换器基于切换系统的建模与储能控制[J]. 电力系统保护与控制, 2012, 40(3): 129-134. GAO Mingyuan. Modeling and energy storage control for bi-directional DC-DC converter based on switching system[J]. Power System Protection and Control, 2012, 40(3): 129-134.
[9] 李琼林, 刘会金, 宋晓凯, 等. 基于切换系统理论的三相变流器建模及其稳定性分析[J]. 电工技术学报, 2009, 24(11): 89-95. LI Qionglin, LIU Huijin, SONG Xiaokai, et al. Modeling and stability analysis of threephase converter based on switching system theory[J]. Transactions of China Electrotechnical Society, 2009, 24(11): 89-95.
[10] 韩璐, 肖建, 邱存勇. 三相SPWM逆变器的切换模型与稳定性分析[J]. 电机与控制学报, 2014(2): 21-27. HAN Lu, XIAO Jian, QIU Cunyong. Modeling and stability analysis of three-phase SPWM inverter based on switched system theory[J]. Electric Machines and Control, 2014(2): 21-27.
[11] 刘皓. 线性切换系统有限时间稳定与控制问题研究[D]. 哈尔滨: 哈尔滨工业大学, 2013. LIU Hao. Study of finite-time stability and control of switched linear systems[D]. Harbin: Harbin Institute of Technology, 2013.
[12] VALCHER M E, ZORZAN I. Stability and stabilizability of continuous-time linear compartmental switched systems[J]. IEEE Transactions on Automa-tic Control, 2016, 61(12): 3885-3897.
[13] AKTER M P, MEKHILEF S, TAN N M L, et al. Modified model predictive control of a bidirectional AC-DC converter based on lyapunov function for energy storage systems[J]. IEEE Transactions on Industrial Electronics, 2015, 63(2): 704-715.
[14] FORNASINI E, VALCHER M E. Stability and stabilizability criteria for discrete-time positive switched systems[J]. IEEE Transactions on Automatic Control, 2012, 57(5): 1208-1221.
[15] GE S S, SUN Z, LEE T H. Reachability and controllability of switched linear discrete-time systems[J]. IEEE Transactions on Automatic Control, 2001, 46(9): 1437-1441.
[2] AYACHIT A, REATTI A, KAZIMIERCZUK M K. Small-signal modeling of PWM dual-SEPIC dc-dc converter by circuit averaging technique[C]//IECON 2016 Florence, Conference of the IEEE Industrial Electronics Society. Italy: IEEE, 2016: 3606-3611.
[3] 全相军, 窦晓波, 吴在军, 等. 三相并网逆变器改进状态反馈控制器设计[J]. 中国电机工程学报, 2016, 36(18): 4953-4961. QUAN Xiangjun, DOU Xiaobo, WU Zaijun et al. The design of improved state feedback controller for current control of three-phase grid-tied inverter[J]. Proceedings of the CSEE, 2016, 36(18): 4953-4961.
[4] 游国栋, 李继生, 侯勇, 等. 单相光伏并网逆变器的反步滑模控制策略[J]. 电网技术, 2015, 39(4): 916-923. YOU Guodong, LI Jisheng, HOU Yong, et al. Sliding-mode control strategies of grid-connected inverters in micro-grid containing unbalanced loads [J]. Power System Technology, 2015, 39(4): 916-923.
[5] CHATURVEDI D K, PREMDAYAL S A. Neural-wavelet based hybrid model for short-term load forecasting[J]. Control Theory & Informatics, 2013, 3(2): 42-45.
[6] GE Y, CHEN Y, ZHANG G. Longitudinal control of intelligent vehicle based on hybrid automata model[C]//Intelligent Control and Automation. Beijing, China: IEEE, 2012: 1848-1853.
[7] ALBEA C, GARCIA G, ZACCARIAN L. Hybrid dynamic modeling and control of switched affine systems: Application to DC-DC converters[C]//IEEE Conference on Decision and Control. Osaka, Japan: IEEE, 2015: 2264-2269.
[8] 高明远. 双向DC-DC变换器基于切换系统的建模与储能控制[J]. 电力系统保护与控制, 2012, 40(3): 129-134. GAO Mingyuan. Modeling and energy storage control for bi-directional DC-DC converter based on switching system[J]. Power System Protection and Control, 2012, 40(3): 129-134.
[9] 李琼林, 刘会金, 宋晓凯, 等. 基于切换系统理论的三相变流器建模及其稳定性分析[J]. 电工技术学报, 2009, 24(11): 89-95. LI Qionglin, LIU Huijin, SONG Xiaokai, et al. Modeling and stability analysis of threephase converter based on switching system theory[J]. Transactions of China Electrotechnical Society, 2009, 24(11): 89-95.
[10] 韩璐, 肖建, 邱存勇. 三相SPWM逆变器的切换模型与稳定性分析[J]. 电机与控制学报, 2014(2): 21-27. HAN Lu, XIAO Jian, QIU Cunyong. Modeling and stability analysis of three-phase SPWM inverter based on switched system theory[J]. Electric Machines and Control, 2014(2): 21-27.
[11] 刘皓. 线性切换系统有限时间稳定与控制问题研究[D]. 哈尔滨: 哈尔滨工业大学, 2013. LIU Hao. Study of finite-time stability and control of switched linear systems[D]. Harbin: Harbin Institute of Technology, 2013.
[12] VALCHER M E, ZORZAN I. Stability and stabilizability of continuous-time linear compartmental switched systems[J]. IEEE Transactions on Automa-tic Control, 2016, 61(12): 3885-3897.
[13] AKTER M P, MEKHILEF S, TAN N M L, et al. Modified model predictive control of a bidirectional AC-DC converter based on lyapunov function for energy storage systems[J]. IEEE Transactions on Industrial Electronics, 2015, 63(2): 704-715.
[14] FORNASINI E, VALCHER M E. Stability and stabilizability criteria for discrete-time positive switched systems[J]. IEEE Transactions on Automatic Control, 2012, 57(5): 1208-1221.
[15] GE S S, SUN Z, LEE T H. Reachability and controllability of switched linear discrete-time systems[J]. IEEE Transactions on Automatic Control, 2001, 46(9): 1437-1441.