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Grid-connected inverter system is recognized as a time-varying nonlinear system, and it has complex nonlinear behaviors in practice. However, the introduction of dead-time nonlinearity can make the nonlinear behaviors of the system more complex and harder to predict. In this paper, the proportional control single-phase grid-connected inverter with L-filter considering dead-time nonlinearity is investigated. The observation of current waveforms under fixed controller parameter and different dead-time parameters shows that the bifurcation phenomenon occurs with the increase of dead-time. According to the features of dead-time nonlinearity and the zero current clamping phenomenon caused by dead-time, an exact and complete discrete-time model is established by comprehensively considering the system from various aspects. And the theoretical analysis of bifurcation behaviors of system is carried out based on the proposed model. Moreover, the stability judgment has engineering significance. However, with the consideration of dead-time nonlinearity, analytical methods are difficult to use and the graphic methods do not have satisfactory accuracy. Therefore, a stability criterion based on equivalent duty ratio is proposed in this paper, which can accurately judge the stability boundary and provide reliable references for the parameter design of controller and dead-time.
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Keywords:
- grid-connected inverter /
- dead-time nonlinearity /
- discrete-time model /
- bifurcation behavior
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[1] Ma X K, Li M, Dai D, Zhang H, Zou J L 2006 Trans. CES 2 1 (in Chinese) [马西奎, 李明, 戴栋, 张浩, 邹建龙 2006 电工技术学报 2 1]
[2] Zhang B, Qu Y 2003 Proc. CSEE 23 99 (in Chinese) [张波, 曲颖 2003 电机工程学报 23 99]
[3] Luo X S, Wang B H, Chen G R, Quan H J, Fang J Q, Zou Y L, Jiang P Q 2003 Acta Phys. Sin. 52 12 (in Chinese) [罗晓曙, 汪秉宏, 陈关荣, 全宏俊, 方锦清, 邹艳丽, 蒋品群 2003 物理学报 52 12]
[4] Aroudi A, Debbat M, Giral R, Oliver G, Benadero L, Toribio E 2005 Int. J. Bifurc. Chaos 15 1549
[5] Liu W Z, Zhang H, Ma X K 2005 Proc. CSEE 25 43 (in Chinese) [刘伟增, 张浩, 马西奎 2005 电机工程学报 25 43]
[6] Ma X K, Liu W Z, Zhang H 2005 Proc. CSEE 25 61 (in Chinese) [马西奎, 刘伟增, 张浩 2005 电机工程学报 25 61]
[7] Dai D, Zhang B, Li S N, Ma X K 2008 Trans. CES 23 65 (in Chinese) [戴栋, 张波, 李胜男, 马西奎 2008 电工技术学报 23 65]
[8] Iu H H C, Zhou Y, Tse C K 2003 Int. J. Circ. Theor. Appl. 31 611
[9] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurc. Chaos 16 113
[10] Wang X M, Zhang B, Qiu D Y 2009 Acta Phys. Sin. 58 2248 (in Chinese) [王学梅, 张波, 丘东元 2009 物理学报 58 2248]
[11] Lei B, Xiao G C, Wu X L, Qi Y R 2011 Acta Phys. Sin. 60 090501 (in Chinese) [雷博, 肖国春, 吴旋律, 齐元瑞 2011 物理学报 60 090501]
[12] Hao X, Xie R L, Yang X, Liu T, Huang L 2013 Acta Phys. Sin. 62 200503 (in Chinese) [郝翔, 谢瑞良, 杨旭, 刘韬, 黄浪 2013 物理学报 62 200503]
[13] Hao X, Liu T, Yang X, Huang L 2012 Proc. IEEE IPEMC Harbin, China, June 2-5, 2012 p831
[14] Liu T, Hao X Yang X Liu J, Zhang B, Huang L 2012 Proc. IEEE IPEMC Harbin, China, June 2-5, 2012 p626
[15] Liu T, Hao X, Yang X, Zhao M, Huang Q, Huang L 2012 Proc IEEE IPEMC Harbin, China, June 2-5, 2012 p335
[16] Hu J, Shang L, He Y, Zhu Z Q 2011 IEEE Trans. Power Electron. 26 210
[17] Hao X, Yang X, Liu T, Huang L, Chen W 2013 IEEE Trans. Power Electron. 28 793
[18] Yu D C, Wu A G, Yang C P 2005 Chin. Phys. B 14 5
[19] Chen D Y, Liu Y X, Ma X Y, Zhang R F 2011 Chin. Phys. B 20 120506
[20] Mohammad P A, Hassan F 2012 Chin. Phys. B 21 060506
[21] Kukrer O, Komurcugil H, Doganalp A 2009 IEEE Trans. Ind. Electron. 56 3477
[22] Herran M A, Fischer J R, Gonzalez S A, Judewicz M G, Carrica D O 2013 IEEE Trans. Power Electron. 28 2816
[23] Summers T J, Betz R E 2004 IEEE Trans. Ind. Appl. 40 935
[24] Cichowski A, Nieznanski J 2005 IEEE Power Electron. Lett. 3 72
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