Chaotic Dynamics Characteristic Analysis for Matrix Converter
Chaotic Dynamics Characteristic Analysis for Matrix Converter
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DOI：
10.1109/tie.2012.2186105
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发表时间：
2013
影响因子：
7.7
通讯作者：
C. Xia;P. Song;T. Shi;Yan Yan-Yan
中科院分区：
文献类型：
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作者：
C. Xia;P. Song;T. Shi;Yan Yan-Yan
基于非线性动力学理论研究了矩阵变换器（MC）自主动力系统的不稳定振荡，分析了其混沌特性。基于基谐非线性状态方程的分析表明，系统通过Hopf分岔失去稳定性。通过仿真研究了系统在临界功率附近的行为。由基调和非线性状态方程得到的轨迹表现出对初始值极端敏感和自相似等典型的混沌特征。从仿真结果中得到了MC的功率密度谱和李雅普诺夫指数。最后，根据实验数据绘制的轨迹显示出与仿真结果非常相似的一些行为，这表明MC驱动的电驱动系统可能处于混沌状态。
The unstable oscillation of autonomous dynamic system of a matrix converter (MC) is studied based on nonlinear dynamic theory, and its chaotic characteristic is analyzed. Analysis based on the fundamental-harmonic nonlinear state equations shows that the system loses stability via a Hopf bifurcation. The behavior of the system near the critical power is examined through simulation. The trajectories obtained by the fundamental-harmonic nonlinear state equations show some typical chaotic characteristics such as extreme sensitivity to initial values and self-similarity. Power density spectrum and Lyapunov exponents of the MC are obtained from simulation results. Finally, the trajectories drawn based on experimental data show some behaviors very similar to those from simulation results, which implies a possible chaotic status in the electrical drive system fed by MC.