广西师范大学学报（自然科学版） ›› 2013, Vol. 31 ›› Issue (4): 1-6.

• •    下一篇

光伏并网逆变器的非线性动力学研究

廖志贤, 罗晓曙, 黄国现   

  1. 广西师范大学电子工程学院,广西桂林541004
  • 收稿日期:2013-06-27 出版日期:2013-12-20 发布日期:2018-11-26
  • 通讯作者: 罗晓曙(1961—),男,湖北应城人,广西师范大学教授,博士。E-mail:lxs@mailbox.gxnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11262004);广西科学研究与技术开发计划(桂科攻1348017-2)

Non-linear Dynamics Model and Chaotic Behavior of the Single-phase Full Bridge Photovoltaic Grid-connected Inverter

LIAO Zhi-xian, LUO Xiao-shu, HUANG Guo-xian   

  1. College of Electronic Engineering,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2013-06-27 Online:2013-12-20 Published:2018-11-26

摘要： 本文首先阐述了单相全桥光伏并网逆变器的电路模型及其工作原理,根据基尔霍夫定律及理想运算放大器的特性,建立了单相全桥光伏并网逆变器电路模型的6.5维分段光滑状态方程组,给出了详细的方程组推导过程。然后利用四阶龙格库塔法对所建立的状态方程组进行求解,对其非线性动力学性质进行了初步研究,发现在一定的光伏阵列输出电压范围内,系统会产生混沌行为。

关键词: 光伏并网逆变器, 分段光滑状态方程, 非线性动力学, 混沌行为

Abstract: In this paper,circuit the of single-phase full bridge photovoltaic (PV) grid-connected inverter model and its working principle are introduced.According to Kirchhoff's law and the characteristics of ideal operational amplifier,a 6.5-dimensions piecewise smooth state equation for the circuit model of single-phase full bridge photovoltaic (PV) grid-connected inverter is set up,the derivation of the equations is presented in detail.Then using the fourth order Runge Kutta method to solve the established state equation,the nonlinear dynamics properties of this modeling is investigated preliminarily.The research results show that this circuit system can produce chaotic behavior under certain range of pv array output voltage.

Key words: photovoltaic grid-connected inverter, piecewise smooth state equation, non-linear dynamics, chaotic behavior

中图分类号: 

  • O545
[1] 罗晓曙,汪秉宏,陈关荣,等.DC-DC buck变换器的分岔行为及混沌控制研究[J].物理学报,2003,52(1):12-17.
[2] 贤燕华,罗晓曙,翁甲强.高维并联BUCK变换器的分段光滑动力学模型[J].广西师范大学学报:自然科学版,2004,22(2):5-9.
[3] IU HHC,TSE CK.Study of low-frequency bifurcation phenomena of a parallel-connected boost converter system via simple averaged models[J].IEEE Transactions on Circuits and Systems Ⅰ:Fundamental Theory and Applications,2003,50(5):679-685.
[4] XU C D,CHENG K W E.Examination of bifurcation of the non-linear dynamics in buck-boost converters with input capacitor rectifier[J].IET Power Electronics,2011,4(2):209-217.
[5] DAHO I,GIAOURIS D,ZAHAWI B,et al.Stability analysis and bifurcation control of hysteresis current controlled Cuk converter using Filippov's method[C].Proceeding of 4th IET Conference on Power Electronics,Machines and Drives.London:Institution of Engineering and Technology,2008:381-385.
[6] WONG Siu-chung,WU Xiao-qun,TSE CK.Sustained slow-scale oscillation in higher order current-mode controlled converter[J].IEEE Transactions on Circuits and Systems Ⅱ:Express Briefs,2008,55(5):489-493.
[7] WANG Xue-mei,ZHANG Bo,QIU Dong-yuan.Bifurcations and chaos in H-bridge DC chopper under peak-current control[C]//Proceedings of the 11th International Conference on Electrical Machines and Systems.Beijing:World Publishing Corporation,2008:2173-2177.
[8] LI Ming,DAI Dong,MA Xi-kui,et al.Fast-scale period-doubling bifurcation in voltage-mode controlled full-bridge inverter[C]//IEEE International Symposium on Circuits and Systems.New York:IEEE Press,2008:2829-2832.
[9] 胡乃红,周宇飞,陈军宁.单相SPWM逆变器快标分叉控制及其稳定性分析[J].物理学报,2012,61(13):50-57.
[10] CHAVARRIA J,BIEL D,GUINJOAN F,et al.Energy-balance control of PV cascaded multilevel grid-connected inverters under level-shifted and phase-shifted PWMs[J].IEEE Transactions on Industrial Electronics,2013,60(1):98-111.
[11] KOUTROULIS E,BLAABJERG F.Methodology for the optimal design of transformerless grid-connected PV inverters[J].IET Power Electronics,2012,5(8):1491-1499.
[12] MEZA C,BIEL D,JELTSEMA D,et al.Lyapunov-based control scheme for single-phase grid-connected PV central inverters[J].IEEE Transactions on Control Systems Technology,2012,20(2):520-529.
[13] TONKOSKI R,LOPES L A C,THM E F.Coordinated active power curtailment of grid connected PV inverters for overvoltage prevention[J].IEEE Transactions on Sustainable Energy,2011,2(2):139-147.
[14] KULKARNI A,JOHN V.Mitigation of lower order harmonics in a grid-connected single-phase PV inverter[J].IEEE Transactions on Power Electronics,2013,28(11):5024-5037.
[15] BOWTELL L,AHFOCK A.Direct current offset controller for transformerless single-phase photovoltaic grid-connected inverters[J].IET Renewable Power Generation,2010,4(5):428-437.
[1] 高俊芬, 胡维平. 基于非线性动力学和GMM的病态嗓音识别与研究[J]. 广西师范大学学报（自然科学版）, 2011, 29(3): 5-8.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
版权所有 © 广西师范大学学报（自然科学版）编辑部
地址：广西桂林市三里店育才路15号　邮编：541004
电话：0773-5857325　E-mail: gxsdzkb@mailbox.gxnu.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发