| 引用本文: | 周 林,龙崦平,郭 珂,李怀花,杜金其.基于系数线性化模型的逆变器分岔与混沌现象研究[J].电力自动化设备,2013,33(7): |
| ZHOU Lin,LONG Yanping,GUO Ke,LI Huaihua,DU Jinqi.Bifurcation and chaos of inverter system based on coefficient linear model[J].Electric Power Automation Equipment,2013,33(7): |
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| 摘要: |
| 以带LC滤波器的逆变器为研究对象，分析了二阶逆变器系统中出现的分岔现象。鉴于二阶系统的复杂性，在传统建模方法的基础上提出了一种基于系数线性化的离散模型，简化了系统建模、稳定性分析以及数值仿真验证的运算过程。运用Jacobian矩阵稳定性分析方法对2种模型的差异性进行了对比分析，并得到了单参数和双参数下系统的运行稳定域。数值仿真结论表明，所提简化离散模型能很好地分析出系统运行的稳定参数域，且在复杂程度、运算量以及运算速度方面较传统离散模型有着明显优势。 |
| 关键词: 逆变器 系数线性化 离散模型 Jacobian矩阵 稳定参数域 分岔 混沌 稳定性 |
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| 基金项目:国家高技术研究发展计划（８６３计划）资助项目（２０１１-ＡＡ０５Ａ３０１）；重庆市自然科学基金资助项目（cstcjjA90001） |
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| Bifurcation and chaos of inverter system based on coefficient linear model |
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ZHOU Lin, LONG Yanping, GUO Ke, LI Huaihua, DU Jinqi
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State Key Laboratory of Power Transmission Equipment & System Security and New Technology，Chongqing University，Chongqing 400030，China
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| Abstract: |
| With the inverter with LC filter as the research subject，the bifurcation occurred in second order inverter system is studied. A discrete model with coefficient linearization based on traditional modeling method is provided to reduce the complexity of second order system and simplify the operations of system modeling，stability analysis and numerical simulation. The Jacobian matrix stability analysis is applied to analyze the differences between two models and achieve the stability region of system with single or double parameters. Numerical simulation indicates that，with the simplified model，the system stability region can be obtained effectively，much better than that with traditional model in complexity，operation load and speed. |
| Key words: electric inverters coefficient linearization discrete model Jacobian matrices stability region bifurcation（mathematics） chaos theory stability |
