DC-DC变换器中混沌及分岔的控制

发布时间：2018-07-05 15:06

本文选题：Buck-Boost变换器 + 混沌控制　；参考：《天津大学》2014年博士论文

【摘要】：在某些电路参数条件下,DC-DC变换器会出现混沌及分岔,此时它们不能正常工作。本文针对三种基本的DC-DC变换器,即Buck变换器、Boost变换器和Buck-Boost变换器,研究了如何采用改善关联性法、状态反馈法、延迟微分反馈法、立方差形式控制器和自抗扰控制(ADRC)技术,将变换器的混沌及分岔状态控制在周期轨道或常数值的问题。本文的内容主要包括以下三个方面:(1)基于变换器的分段线性模型和离散映射模型,通过研究其分岔图、混沌状态的庞加莱截面、相图、开关逻辑图、电感电流波形和输出电压波形验证了变换器中混沌及分岔的存在性。(2)采用改善关联性法、状态反馈法、延迟微分反馈法和立方差形式控制器当输入电压固定时将变换器的混沌状态控制在各周期轨道。改善关联性法是通过改善变换器中电感电流与输出电压之间的关联性来实现混沌控制的。该方法能够将Buck变换器和Boost变换器的混沌状态控制在周期1、2、4、8轨道,也能够将Buck-Boost变换器的混沌状态控制在周期2、3、4、6、8、9轨道。状态反馈法是通过结合状态反馈和参数扰动的思想构成的。第一种状态反馈法能够将Buck变换器的混沌状态控制在周期1、2、4、8轨道。第二种状态反馈法能够将Boost变换器的混沌状态控制在周期2、8、10、14轨道。这两种状态反馈法的数学表达式不同。延迟微分反馈法是通过结合时间延迟和微分反馈的思想构成的,该方法能够将Boost变换器和Buck-Boost变换器的混沌状态控制在周期1轨道。立方差形式控制器是通过对输出电压与电感电流取立方差构成的,该控制器能够将Buck-Boost变换器的混沌状态控制在周期2、3、4、6、8轨道。这些方法都不需要预先确定系统的目标轨道,不依赖于系统的内部电路参数,只需要通过调整一个外部参数就能够实现变换器的混沌控制。这些方法也可以用于控制其他电力电子电路中的混沌。(3)采用ADRC技术当输入电压固定或变化时将Buck变换器的混沌及分岔状态控制在常数值。ADRC技术通过把输入电压的变化看作“总扰动”来估计并补偿该变化。通过采用ADRC技术,系统输出能够跟踪设定点且跟踪误差为零。而且施加ADRC技术后的闭环系统对输入电压的变化具有良好的鲁棒性。上述结果为控制电力电子电路中的混沌及分岔提供了一条新思路。
[Abstract]:Under some circuit parameters, chaos and bifurcation will occur in DC-DC converters, which can not work properly. In this paper, three basic DC-DC converters, namely, Buck converter boost converter and Buck-Boost converter, are studied how to adopt improved correlation method, state feedback method, delay differential feedback method, cubic difference form controller and ADRC technology. The problem of controlling the chaotic and bifurcation states of the converter in periodic orbits or constant values. The main contents of this paper are as follows: (1) based on the piecewise linear model and discrete mapping model of the converter, the bifurcation diagram, the Poincare cross section of chaotic state, the phase diagram, the switching logic diagram are studied. The inductance current waveform and the output voltage waveform verify the existence of chaos and bifurcation in the converter. (2) the improved correlation method, the state feedback method and the state feedback method are used. The delay differential feedback method and the cubic difference controller control the chaotic state of the converter in each period orbit when the input voltage is fixed. The improved correlation method realizes chaos control by improving the correlation between inductance current and output voltage. This method can control the chaotic state of the Buck converter and boost converter in the orbit of cycle 1 / 2 / 4 / 8 and the chaotic state of the Buck-Boost converter in the orbit of 2 / 3 / 4 / 6 / 89. The state feedback method is constructed by combining the idea of state feedback and parameter perturbation. The first state feedback method can control the chaotic state of the Buck converter in the orbit of 1 / 2 / 4 / 8. The second state feedback method can control the chaotic state of boost converter in the orbit of period 2 ~ (8) ~ (10) ~ (10) ~ (14). The mathematical expressions of these two state feedback methods are different. The delay differential feedback method is composed of time delay and differential feedback. The method can control the chaotic state of boost converter and Buck-Boost converter in period 1 orbit. The cubic difference controller is made up of cubic difference between output voltage and inductive current. The controller can control the chaotic state of Buck-Boost converter in the orbit of 2 ~ 3 ~ 4 ~ 4 ~ 6 ~ (8). These methods do not need to predetermine the target orbit of the system, do not depend on the internal circuit parameters of the system, but only need to adjust an external parameter to realize the chaos control of the converter. These methods can also be used to control chaos in other power electronic circuits. (3) when the input voltage is fixed or changed, the chaos and bifurcation state of the Buck converter is controlled in the constant value. ADRC technology. The change is considered a "total disturbance" to estimate and compensate for the change. By using ADRC technology, the output of the system can track the set point and the tracking error is zero. Moreover, the closed loop system with ADRC technique is robust to the change of input voltage. These results provide a new idea for controlling chaos and bifurcation in power electronic circuits.
【学位授予单位】：天津大学
【学位级别】：博士
【学位授予年份】：2014
【分类号】：TM46

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