交错并联boost变换器分岔和混沌行为研究
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摘要
为进一步研究交错并联boost变换器中的非线性现象及电路参数对其稳定性的影响,对其分岔和混沌行为进行深入的研究。首先根据离散时间映射法建立变换器的离散迭代映射模型,然后采用分岔图和时域图的方法描述其动力学行为,研究了电路参数对变换器稳定性的影响。研究结果表明,随着电压反馈增益的增大,变换器电感电流出现正弦次谐波振荡,系统出现分岔现象,并最终趋于混沌运动状态。最后通过实验验证了理论分析的正确性。
In order to investigate the nonlinear phenomena and the effects of the circuit parameters on the nonlinear behavior of the interleaved boost converter,the bifurcation and chaos phenomena of an interleaved boost converter was studied. The discrete iterative map model of the converter is derived by using the method of discrete time map. Computer simulations such as bifurcation diagrams and time-domain waveforms were performed to capture the effects of variation of some parameters on the stability behavior of the system. The results show that variation of the voltage feedback gains leads to bifurcation. Research of the time domain waveforms and phase portraits show that the sinetype sub-harmonic oscillation exists in the inductor current when the voltage feedback gains vary. The experiment results agree with the theoretical analysis.
In order to investigate the nonlinear phenomena and the effects of the circuit parameters on the nonlinear behavior of the interleaved boost converter,the bifurcation and chaos phenomena of an interleaved boost converter was studied. The discrete iterative map model of the converter is derived by using the method of discrete time map. Computer simulations such as bifurcation diagrams and time-domain waveforms were performed to capture the effects of variation of some parameters on the stability behavior of the system. The results show that variation of the voltage feedback gains leads to bifurcation. Research of the time domain waveforms and phase portraits show that the sinetype sub-harmonic oscillation exists in the inductor current when the voltage feedback gains vary. The experiment results agree with the theoretical analysis.
引文
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[12]汪东,赵一,石健将,何湘宁.具有开关电容的隔离型交错并联Boost变换器[J].中国电机工程学报,2009,29(21):14-20.
[13]吕晓东,李武华,吴建德,等.一种隔离型有源箝位交错并联Boost软开关变换器[J].中国电机工程学报,2008,28(27):7-11.
[14]谢玲玲,龚仁喜,李畸勇.光伏发电最大功率点跟踪交错并联Boost变换器的动力学特性分析[J].中国电机工程学报,2013,33(6):38-45.
[2]谢玲玲,龚仁喜,卓浩泽,等.电压模式控制不连续传导模式boost变换器切分岔研究[J].物理学报,2012,61(5):1-7.
[3]乔晓华,包伯成,孙玉霞.电流模式Boost变换器中切分岔迭代映射构造[J].电测与仪表,2009,46(527):5-8.
[4]姜丹丹,周宇飞,王诗兵,等.基于时延反馈的Boost变换器混沌化控制[J].电测与仪表,2009,46(521):16-19.
[5]谢玲玲,龚仁喜,王旷,等.电流模式控制Buck-Boost变换器非线性行为研究[J].电测与仪表,2010,47(540):4-7.
[6]周国华,许建平,包伯成.峰值/谷值电流型控制开关DC-DC变换器的对称动力学现象分析[J].物理学报,2010,59(4):2272-2280.
[7]BAO B C,YANG J,XU J P,et al.Effect of output capacitor ESR on dynamic performance of voltage-mode hysteretic controlled buck converter[J].Electronics Letters,2013,49(20):1293-1294.
[8]KAVITHA A,UMA G.Experimental verification of hopf bifurcation in DC-DC Luo converter[J].IEEE Trans Power Electronics,2008,23(6):2878-2883.
[9]陈明亮,马伟明.多级并联电流反馈型DC-DC升压变换器中的分岔与混沌[J].中国电机工程学报,2005,25(3):67-70.
[10]HUANG Y H,TSE C K.Circuit theoretic classification of parallel connected DC-DC converters[J].IEEE Transaction on Circuit and System-I:Fundamental Theory and Applications,2007,54(5):1099-1108.
[11]LU H H C,TSE C K.Bifurcation behavior in parallel-connected buck converters[J].IEEE Transaction on Circuit and System-I:Fundamental theory and applications,2001,48(2):233-240.
[12]汪东,赵一,石健将,何湘宁.具有开关电容的隔离型交错并联Boost变换器[J].中国电机工程学报,2009,29(21):14-20.
[13]吕晓东,李武华,吴建德,等.一种隔离型有源箝位交错并联Boost软开关变换器[J].中国电机工程学报,2008,28(27):7-11.
[14]谢玲玲,龚仁喜,李畸勇.光伏发电最大功率点跟踪交错并联Boost变换器的动力学特性分析[J].中国电机工程学报,2013,33(6):38-45.