Abstract
Z源变换器由于Z源网络的嵌入,具有高电压传输比,降低开关器件损耗,提高系统效率等优点,在直流变换、逆变等许多领域具有广泛的应用。本文研究了基于峰值电流模式控制的同步开关Z源变换器的非线性动力学,建立了连续电流模式下同步开关Z源变换器的离散迭代映射模型;通过特征值的运动轨迹分析了参考电流对系统稳定性的影响,给出了系统稳定运行的参数域;基于分岔图和Lyapunov指数图发现了此变换器存在倍周期分岔、边界碰撞分岔、切分岔和阵发混沌,分析了边界碰撞分岔和混沌演化过程及其产生的机理;最后通过电路仿真和实验验证了理论分析的正确性。研究结果表明:随着参考电流的增加,峰值电流模式控制同步开关Z源变换器从周期1经历倍周期分岔进入周期2和周期4,然后由于边界碰撞分岔过渡到阵发混沌态,接着通过切分岔进入周期3,最后再次由于边界碰撞分岔进入混沌态。
Z-source converter can have a high voltage transmission ratio, reduce the losses of switching devices, and improve the efficiency of the system, etc., because of embedding the Z-source network into the system, which makes it find wide applications in DC conversion, inverters, etc. Nonlinear dynamics of the peak-current-mode controlled synchronous switching Z-source converter is studied for the first time so far as we know. The discrete iterated mapping model under continuous current mode is established, while the effects of the reference current on the stability of the system are analyzed by using the trajectories of eigenvalues, and the steady state operation parameter domain is schemed. Period-doubling bifurcation, border-collision bifurcation, tangent bifurcation and intermittent chaos are found in this converter based on the bifurcation diagram and the Lyapunov exponent diagram, and the evolvement and mechanism of the border-collision bifurcation and chaos are analyzed. Finally, the circuit simulation and the experimental results show that the theoretical analysis is correct. Results obtained indicate that with the increase of the reference current, the peak-current-mode controlled synchronous switching Z-source converter goes from period 1 into period 2 and period 4 through the period-doubling bifurcation, and moves into the intermittent chaos due to the border-collision bifurcation. Then the system exhibits a period-3 behaviour because of the tangent bifurcation. Finally, the converter moves into chaos due to the border-collision bifurcation again.
Translated title of the contribution | Dynamical study of peak-current-mode controlled synchronous switching Z-source converter |
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Original language | Chinese (Simplified) |
Article number | 120507 |
Number of pages | 9 |
Journal | 物理学报 |
Volume | 63 |
Issue number | 12 |
DOIs | |
Publication status | Published - 20 Jun 2014 |
Externally published | Yes |
Keywords
- Bifurcation
- Chaos
- Discrete iterated mapping
- Synchronous switching Z-source converter
- 同步开关Z源变换器
- 离散迭代映射
- 分岔
- 混沌