【作者】 赵益波；

【导师】 罗晓曙；

【作者基本信息】 广西师范大学 ， 电路与系统， 2005， 硕士

【摘要】 本文着重于DC-DC 功率变换器的离散映射模型的分析及其混沌控制的研究,研究的内容主要包括如下几个方面: 1. 概述了混沌的定义及其特征,讨论了研究混沌的几种方法,概述了非线性动力学系统的分岔和稳定性理论;简单介绍了DC-DC 开关功率变换器的线性化分析方法和线性控制方法,以及DC-DC 功率变换器离散映射模型分析及其混沌控制的意义及现状。2 研究了DC-DC 开关功率变换器的离散映射模型的建立及分岔图和Jacobian 矩阵在分析其非线性动力学性质时所起的作用。研究了二阶DC-DC 开关功率变换器开环、闭环离散映射模型的稳定性。3 建立了电流反馈型buck-boost 开关功率变换器的离散映射模型,分析了以参考电流为第一分岔参数,输出电容为第二分岔参数的非线性动力学性质,利用Jacobian 矩阵分析了该变换器连续模态下的稳定性。4 研究了电压反馈型DC-DC 开关功率变换器的稳定性,预测了电路失稳时的分岔点,并以电压反馈型buck 电路为例,理论分析和数值仿真吻合的很好。5 研究了参数共振微扰法控制电流反馈型buck-boost 变换器的混沌,研究结果表明选择适当的扰动频率和幅度能有效地控制电路中的混沌,而且相位的改变也直接影响控制效果。研究了状态比例脉冲反馈法控制电压反馈型buck 变换器的混沌,研究发现选取适当的控制强度和脉冲间隔能将电路的混沌状态控制到一系列周期状态,而且不改变电路原有的动力学类型,最后进行了电路仿真,验证了该方法的有效性。更多还原

【Abstract】 In this thesis, analysis of discrete mode and study on chaos control for DC-DC converters are emphasis studied, and contents of study are as follow: First, definition and characteristics about chaos are summed up, several methods for study chaos are discussed, bifurcation and dynamic stability theory is summarized. Linear analytical and linear control methods are compendium. Meaning and present status about analysis of discrete map mode on DC-DC converters and their chaos control are generalized. Second, establishing of discrete map mode on DC-DC converters and the work of bifurcation and Jacobian matrix to analyze their non-linear dynamics is studied. Stability on open and close loop converters discrete map mode is studied. Third, discrete map mode on current-programmed mode buck-boost converter is established. Non-linear dynamic nature by taking reference current as first bifurcation parameter and output capacity as second bifurcation parameter is studied, stability on this converter working in CCM is studied by Jacobian matrix. Forth, stability of voltage-mode DC-DC converters is studied, bifurcation onset when the circuits lose stability is predicted, and for voltage-mode DC-DC converter an example, theory analysis and numerical calculation well coincident with each other. Fifth, resonant parameter perturbation to control chaos of current-programmed buck-boost converter is studied. The research results show that chaos of circuits can be effective controlled by choosing appropriate disturbed frequency and amplitude. Moreover, modification of phase also has an direct effect on control. State rate pulse feedback method to control chaos of voltage-mode buck converter is studied. It is found that the circuit can be control to a series of periodic orbits by choosing proper control gain and pulse interval, meanwhile, proto-tape of dynamics isn’t altered. At last circuit simulation is proceeded, which test and verify validity of this method.更多还原