| 引用本文: | 李 哲,李颖晖,吴 辰,陈柄任.电流反馈型Buck变换器分岔动力学分析及稳定性控制[J].电力系统保护与控制,2016,44(18):54-60.[点击复制] |
| LI Zhe,LI Yinghui,WU Chen,CHEN Bingren.Study on bifurcation behaviors and stabilization in current mode controlled Buck converter[J].Power System Protection and Control,2016,44(18):54-60[点击复制] |
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| 摘要: |
| 针对电流反馈型Buck变换器电路参数波动引起分岔等非线性失稳动力学行为，研究了基于单值矩阵的动力学分析及稳定性控制方法。首先采用菲利波夫法得到了电流反馈型Buck变换器的一个线性化的周期轨道，并以单值矩阵的形式来描述。结合Floquet理论用单值矩阵的特征值(Floquet乘子)分析了变换器的稳定性:根据Floquet乘子是否处于单位圆内，判定变换器是否发生分岔失稳。进一步考虑了多参数变化对变换器稳定性的影响，多参数变化条件下系统的稳定域比较狭窄，变换器很容易产生分岔，基于参数共振微扰法，在参考电流中添加小幅周期信号，使变换器模态之间的切换面发生了改变，有效地抑制了变换器的分岔行为，稳定域得到了明显的拓展。仿真和实验验证了该方法和结论的有效性。 |
| 关键词: Buck变换器 分岔 菲利波夫法 单值矩阵 稳定性 稳定域 |
| DOI：10.7667/PSPC151842 |
| 投稿时间：2015-10-09修订日期：2015-12-31 |
| 基金项目:国家973计划(2015CB755805) |
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| Study on bifurcation behaviors and stabilization in current mode controlled Buck converter |
| LI Zhe,LI Yinghui,WU Chen,CHEN Bingren |
| (School of Aeronautics and Astronautics Engineering, Air Force Engineering University, Xi’ an 710038, China) |
| Abstract: |
| To restrain the nonlinear dynamical behaviors like bifurcation in current mode controlled Buck converter caused by variation of circuit parameters, a dynamic analysis and control method based on monodromy matrix is studied. First, Filippov’s method is applied to obtain a linearization around the periodic orbit of current mode controlled Buck converter, and it can be described as monodromy matrix; combined with Floquet theory, the eigenvalues of the monodromy matrix (Floquet multipliers) are used to analyze the stability of the converter:the state whether Floquet multipliers are within the unit circle is committed to determine whether the converter occur bifurcation. Meanwhile, the stability of the converter under condition in multi-parameter changes is considered, its stable region is relatively narrow, converter is easy to occur bifurcation and become unstable. Based on the method of resonant parametric perturbation, a slight period signal is added to the reference current, which can change the switching hypersurface between the state of converter, and the bifurcation behaviors can be effectively restrained, through this, stable region is obviously expanded. Finally, the simulation and experimental results show that the analysis method and conclusion proposed is effective. This work is supported by National Key Basic Research Program of China (973 Program) (No. 2015CB755805). |
| Key words: Buck converter bifurcation Filippov’s method monodromy matrix stability stable region |
