摘要电力电子变换器作为一类典型的开关非线性系统,长期以来,由于认识上的局限性,变换器的建模和分析一直沿用线性系统的思路,这导致变换器许多特性不能被深刻认识。为此,本文尝试从控制系统认识发展的角度:线性系统、非线性系统到混杂系统,将电力电子变换器视为一类同时包含连续状态变量和离散开关变量的混杂动态系统,即切换线性系统;以DC-DC变换器作为主要研究对象,从模型建立到系统控制基础理论研究,构造出一整套基本完整的系统分析理论。论文提出并开展以下工作:
首先是DC-DC变换器切换线性系统的建模理论。针对DC-DC变换器的拓扑结构以及工作特点,给出切换线性系统的定义和标准型,研究切换线性系统理论对DC-DC变换器建模的普适性。建立基本DC-DC变换器的切换线性系统模型,提出DC-DC变换器切换线性系统的建模理论。10936
其次从切换线性系统理论及无源系统理论角度,建立了DC-DC开关变换器的切换仿射线性系统模型。最后由切换仿射系统的二次稳定性定理划分各切换子系统的运行区域,构造切换律,控制DC-DC开关变换器系统达到二次稳定。
关键词:切换线性系统;DC-DC变换器;切换仿射系统;切换控制器
毕业论文设计说明书(论文)外文摘要
Title Modeling and Control of DC-DC converter switching system
Abstract
Power converters being typical switched nonlinear system,the modeling and analysis always employ the ideas in linear systems for epistemology limitation for a 1ong time,which leads to so many characteristics unknown for power converters.In this dissertation,from the viewpoint of control system developments:linear system to nonlinear system,then to hybrid dynamic system,power converters are considered as one kind hybrid dynamic system combined continuous state variable with discrete switched variable together,that is caned as switched linear system in general. DC-DC converters are chosen as research objectives investigated and complete system analysis theories from modeling to control fundamental theories of control system are obtained,which make up the shortage of fundamental theories of power converters as control system.The main contents are listed as follows.
First, switched linear system modeling theory for DC-DC converters is presented.According to topologies and operation principle of DC-DC converters,definition and normalized form of switched 1inear system are given and feasibility study on switched linear system theory for the modeling of DC-DC converters is presented.Switching linear system model to establish the basic DC-DC converter, the DC-DC converter switching linear systems modeling theory is obtained.
Then, from the combined perspective of switched system and passivity system theory, a novel approach to the modeling of DC-DC converters is presented, namely switched affine systems. Finally, based on the sufficient condition for quadratic stability of convex combination of the controllers, together with used the stored energy in the inductance and the capacitor as a common Lyapunov function, switching rules and activation region of all the subsystems can be defined to assess quadratic stability of the switched system.
Keywords switched linear system DC-DC converters switched affine systems switching controller
目次
1 绪论 1
1.1 DC-DC变换器建模方法 1
1.1.1数值法 2
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