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非线性有源电阻网络的拓扑分析

Topological Analysis of Nonlinear Active Resistive Networks
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摘要 将线性网络的拓扑分析法推广到非线性有源电阻网络,采用了非线性元件分段线性化的模型,将非线性有源电阻网络转化为分段线性有源网络。提出了非线性有源电阻网络"通解"、"特解"、"真特解"等新概念,使非线性有源电阻网络有了类似于线性网络的解析解。实验结果表明,这种方法具有良好的收敛性。 The topological analysis methods for linear networks are extended to nonlinear active resistive networks. Piecewise linearization model of nonlinear elements are introduced to convert nonlinear active resistive networks to piecewise linear active networks. New concepts for nonlinear active resistive networks such as "general solution", "special solution" and "genuine special solution" are proposed, so that the nonlinear active resistive networks are to possess analytical solutions similar to those for linear networks. The experimental results show that this method gets good effects.
出处 《信息与电子工程》 2008年第5期333-337,共5页 information and electronic engineering
基金 国家自然科学基金资助项目(69872010)
关键词 非线性网络 拓扑分析 图论 nonlinear networks topological analysis graph theory
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参考文献12

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二级参考文献4

  • 1陈惠开.有源网络的拓扑公式和复杂度--统一综述[A]..陈惠开教授论文选集 [M].长沙:湖南科技出版社,1986.114-122.
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  • 4Chen W K. Applied Graph Theory [M]. Amsterdam: North-Holland, 1976.

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