准PR调节下单相光伏并网逆变器的非线性研究

陶慧; 赵世彬; 贾春华

doi:10.19912/j.0254-0096.tynxb.2021-0455

PDF(3110 KB)

太阳能学报 ›› 2022, Vol. 43 ›› Issue (10) : 21-28. DOI: 10.19912/j.0254-0096.tynxb.2021-0455

准PR调节下单相光伏并网逆变器的非线性研究

陶慧, 赵世彬, 贾春华

作者信息 +

NONLINEAR RESEARCH OF SINGLE-PHASE PHOTOVOLTAIC GRID-CONNECTED INVERTER WITH QUASI PR CONTROLLER

Tao Hui, Zhao Shibin, Jia Chunhua

Author information +

文章历史 +

摘要

调节下单相LCL型光伏并网逆变器为研究对象,利用频闪映射法推导系统的离散迭代模型。通过分岔图和Matlab/Simulink仿真描述系统随电路参数变化由稳定到混沌状态的演变过程。采用雅可比矩阵法对系统的稳定性进行理论分析,得到系统在双分岔参数以及三分岔参数下的稳定工作域,并根据不同参数下的雅可比矩阵特征值确定系统的分岔类型以及失稳后的振荡频率。最后通过物理实验得到并网电流的实时波形,进一步验证了理论分析的正确性。

Abstract

Taking the quasi PR controller single-phase LCL photovoltaic grid-connected inverter as the research object, the discrete iterative model of the system is derived by using the stroboscopic mapping method. Through bifurcation diagram and Matlab/Simulink simulation, the evolution process of the system from stable state to chaotic state with the change of circuit parameters is described. The Jacobian matrix method is used to analyze the stability of the system, and the stable working regions of the system under two bifurcation parameters and three bifurcation parameters are obtained. According to the eigenvalues of Jacobian matrix under different parameters, the bifurcation type and the oscillation frequency after instability are determined. Finally, the real-time waveform of grid-current is obtained through physical experiments, which further verifies the correctness of the theoretical analysis.

导出引用

陶慧, 赵世彬, 贾春华. 准PR调节下单相光伏并网逆变器的非线性研究[J]. 太阳能学报. 2022, 43(10): 21-28 https://doi.org/10.19912/j.0254-0096.tynxb.2021-0455

Tao Hui, Zhao Shibin, Jia Chunhua. NONLINEAR RESEARCH OF SINGLE-PHASE PHOTOVOLTAIC GRID-CONNECTED INVERTER WITH QUASI PR CONTROLLER[J]. Acta Energiae Solaris Sinica. 2022, 43(10): 21-28 https://doi.org/10.19912/j.0254-0096.tynxb.2021-0455

中图分类号： TM464

参考文献

[1] 张厚升, 赵艳雷. 单相双级式光伏并网逆变器[J]. 电力自动化设备, 2010, 30(8): 95-99.
ZHANG H S, ZHAO Y L.Singlie-phase double-stage photovoltaic grid-connected inverter[J]. Electric power automation equipment, 2010, 30(8): 95-99.
[2] 陈炜, 艾欣, 吴涛, 等. 光伏并网发电系统对电网的影响研究综述[J]. 电力自动化设备, 2013, 33(2): 26-32.
CHEN W, AI X, WU T, et al.Influence of grid-connected photovoltaic system on power network[J]. Electric power automation equipment, 2013, 33(2): 26-32.
[3] ROBERT B, ROBERT C.Border collision bifurcations in a one-dimensional piecewise smooth map for a PWM current-programmed H-bridge inverter[J]. International journal of control, 2002, 75(16): 1356-1367.
[4] IU H H C, ROBERT B. Control of chaos in a PWM current-mode H-bridge inverter using time-delayed feedback[J]. IEEE transactions on circuits and systems, 2003, 50(8): 1125-1129.
[5] 王学梅, 张波. 单相SPWM逆变器的分岔及混沌现象分析[J]. 电工技术学报, 2009, 24(1): 101-107.
WANG X M, ZHANG B.Study of bifurcation and chaos in single-phase SPWM inverter[J]. Transactions of China Electrotechnical Society, 2009, 24(1): 101-107.
[6] 王学梅, 张波, 丘东元. H桥正弦逆变器的快变和慢变稳定性及混沌行为研究[J]. 物理学报, 2009, 58(4): 2248-2254.
WANG X M, ZHANG B, QIU D Y.The fast-and- slow-scale stabilities and chaotic motion of H-bridge sine inverter[J]. Acta physica sinica, 2009, 58(4): 2248-2254.
[7] 周林, 龙崦平, 张密, 等. 带LCL滤波器的单相并网逆变器低频振荡现象分析[J]. 电力自动化设备, 2014, 34(1): 67-71.
ZHOU L, LONG Y P, ZHANG M, et al.Analysis of low frequency oscillation in single-phase grid-connected inverter with LCL filter[J]. Eletric power automation equipment, 2014, 34(1): 67-71.
[8] 吴旋律, 肖国春, 雷波. 数字控制单相全桥电压型逆变电路的改进离散迭代模型[J]. 物理学报, 2013, 62(5): 57-66.
WU X L, XIAO G C, LEI B.Improved discrete-time model for a digital controlled single-phase full-bridge voltage inverter[J]. Acta physica sinica, 2013, 62(5): 57-66.
[9] 代璐, 龙崦平. PI调节下光伏逆变器的分岔与混沌现象研究[J]. 电力系统保护与控制, 2012, 40(24): 89-94.
DAI L, LONG Y P.Study of bifurcation and chaos for photovoltaic inverter with PI controller[J]. Power system protection and control, 2012, 40(24): 89-94.
[10] 江伟, 吴荣华. 基于PI控制的H桥逆变器工作稳定性研究[J]. 振动与冲击, 2020, 39(16): 62-68.
JIANG W, WU R H.A study on working stability of H-bridge inverter based on PI control[J]. Journal of vibration and shock, 2020, 39(16): 62-68.
[11] 龚仁喜, 尹志红. 一种单相H桥光伏逆变器混沌控制方法[J]. 物理学报, 2021, 70(2): 312-321.
GONG R X, YIN Z H.A chaos control method of single-phase H-bridge photovoltaic inverter[J]. Acta physica sinica, 2021, 70(2): 312-321.
[12] 马琳, 金新民, 唐芬. 三相并网逆变器比例谐振控制及其网压前馈问题分析[J]. 电工技术学报, 2012, 27(8): 56-63.
MA L, JIN X M, TANG F.Analysis of three-phase grid-connected inverter proportional resonant control and grid voltage feed-forward[J]. Transactions of China Electrotechnical Society, 2012, 27(8): 56-63.
[13] 杭丽君, 李宾, 黄龙, 等. 一种可再生能源并网逆变器的多谐振PR电流控制技术[J]. 中国电机工程学报, 2012, 32(12): 51-58.
HANG L J, LI B, HUANG L, et al.A multi-resonant PR current controller for grid-connected inverters in renewable energy systems[J]. Proceedings of the CSEE, 2012, 32(12): 51-58.
[14] 陶彩霞, 陈庆花, 田莉, 等. 准PR调节下三相并网逆变器的分岔现象分析[J]. 电力系统保护与控制, 2018, 46(12): 100-107.
TAO C X, CHEN Q H, TIAN L, et al.Bifurcation analysis of three-phase grid-connected inverters based on quasi PR controller[J]. Power system protection and control, 2018, 46(12): 100-107.
[15] 徐志英, 许爱国, 谢少军. 采用LCL滤波器的并网逆变器双闭环入网电流控制技术[J]. 中国电机工程学报, 2009, 29(27): 36-41.
XU Z Y, XU A G, XIE S J.Dual-loop grid current control technique for grid-connected inverter using an LCL filter[J]. Proceedings of the CSEE, 2009, 29(27): 36-41.
[16] 李明, 戴栋, 马西奎, 等. 基于改进离散法的含输入滤波器电流型Buck变换器稳定性分析[J]. 电工技术学报, 2008, 23(4): 73-80.
LI M, DAI D, MA X K, et al.Stability study on current-mode controlled buck converter with input filter based on improved discrete approach[J]. Transactions of China Electrotechnical Society, 2008, 23(4): 73-80.