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H桥直流斩波变换器边界碰撞分岔和混沌研究 被引量:21

Mechanism of Border-collision Bifurcations and Chaos in H-bridge Direct Current Chopper
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摘要 H桥变换器是一类被广泛应用于电力电子领域的重要拓扑,存在复杂的非线性现象,探索其非线性行为的产生机理具有重要的理论和实际意义。研究电流峰值控制型H桥直流斩波器的分岔和混沌现象,建立电流峰值控制H桥直流斩波器的离散映射模型,分析平衡点的稳定性,给出了系统稳定运行参数域。分析边界碰撞分岔和混沌演化过程及其产生机理,推导出碰撞边界线的解析表达式,指出发生边界碰撞的根本原因在于开关变换器占空比的有界性。数值仿真和实验验证了理论分析的正确性。 H-bridge converter, an important topology widely applied to power electronic system, has complex nonlinear phenomena. It has important theoretical and practical significance to explore mechanism of nonlinear behaviors in H-bridge converter. Bifurcation and chaos phenomena in H-bridge DC chopper under peak-current programmed were studied. Iterative maps of H-bridge DC chopper were derived. Fixed points' stability was investigated and steady state operation parameters area was schemed. The evolvement and mechanism of border-collision bifurcations and chaos were analyzed after the collision border line was studied. Results show the limitation of duty cycle is the fundamental cause of non-smooth bifurcations. Simulation and experimental results show that the theoretical analysis is correct.
作者 王学梅 张波
出处 《中国电机工程学报》 EI CSCD 北大核心 2009年第9期22-27,共6页 Proceedings of the CSEE
基金 国家自然科学基金项目(60474066) 国家863高技术基金项目(2007AA05Z229) 广东省自然科学基金重点项目(8251064101000014)~~
关键词 H桥直流斩波器 边界碰撞 离散映射 特征乘子 李亚普诺夫指数 H-bridge DC chopper border-collision discrete maps characteristic multipliers Lyapunov exponent
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