张立钧-dc-dc变换器jacobian矩阵的改进求解方法

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1、张立钧-DC-DC变换器Jacobian矩阵的改进求解方法学校代码：10184学号：2084020394延边大学本科毕业论文题目：DC-DC变换器Jacobian矩阵的改进求解方法学生姓名：张立钧学院：工学院专业：电子信息工程年级：2008级指导教师：徐红梅讲师二〇一二年六月延边大学本科毕业论文摘要开关功率变换器是现代电力电子系统的核心环节，其运行状态直接关乎整个电力电子系统的工作性能。由于器件的非线性和开关的切换作用，反馈控制的开关变换器表现为一类强非线性、时变系统，运行中会产生各种非线性现象，如倍周期分岔、边界碰撞分岔、混沌等，使得系统难以按期望的

2、要求工作。本文从分段线性角度提出了PWM控制DC-DC变换器雅克比(Jacobian)矩阵的改进求解方法，推导出了具有更好通用性的Jacobian矩阵数学表达式。现有DC-DC变换器系统Jacobian矩阵的求解主要是基于数据采样法实现，求解过程复杂，其结果通用性不强，不利于解析分析。为此利用微扰思想推导出了单开关PWM控制DC-DC变换器系统Jacobian矩阵的较为通用的数学表达式，并推导出了三个相关的快标行为稳定性结论，结合典型的PWM控制DC-DC变换器的快标行为稳定性分析，验证了所提方法的有效性。关键词：开关功率变换器；Jacobian矩阵；

3、微扰；稳定性I延边大学本科毕业论文AbstractSwitchingPowerConvertersarethecorepartsofthemodernpowerelectronicsystems,itsoperatingstatusdirectlyrelatestotheperformanceoftheentirepowerelectronicsystem.Becauseofthenonlinearoftheconvertersandtheswitchingeffect,feedback-controlconvertersmanifestaclasso

4、fstronglynon-lineartime-varyingsystem,duringitsoperating,itwillproduceavarietyofnonlinearphenomena,likeperiod-doublingbifurcation,bordercollisionbifurcation,Chaos,etc.Makethesystemdifficulttoworkaccordingtoourexpectation.Accordingtothecommonpiecewise-linearcharacteristicofPWMcon

5、trolDC-DCconvertersystem,animprovedsolutiontoitsJacobianmatrixisputforwardtoobtainitsgeneralexpression.Intheexistingliteratures,theJacobian-matrixexpressionusuallyderivedwiththedata-sampledmethodisnotadaptabletoanalyticalanalysisandnotapplicableinmostofDC-DCconverters.Basedonlin

6、earperturbationmethod,thegeneralexpressionoftheJacobianmatrixofasingle-switchPWMcontrolDC-DCconvertersystemisderivedandbasedonthederivedexpressionthreeconcerningstabilityconclusionsaboutfast-scalebehavioraregiven.Thevalidityoftheproposedmethodisconfirmedbyapplyingtheconclusionst

7、otwotypicalPWMcontrolDC-DCconverters.Keywords:SwitchingPowerConverters;Jacobian-matrix;Perturbation;StabilityII延边大学本科毕业论文目录摘要....................................................................................................................................IAbstract.............

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