Parabolic Differential-Algebraic Models in Electrical Network Design
Parabolic Differential-Algebraic Models in Electrical Network Design
复制标题
电网设计中的抛物线微分代数模型
DOI：
10.1137/040610696
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Günther
中科院分区：
文献类型：
--
作者：
G. Alì;A. Bartel;M. Günther
在精细网络分析中，紧凑网络模型与多维方法中的半导体器件分布式模型相结合。对于线性RLC网络包含二极管作为分布式设备，我们构建了一个数学模型，加入微分代数初值问题的电路与抛物椭圆边值问题建模的二极管。对这类偏微分-代数方程混合初边值问题，给出了第一个存在唯一性结果，并讨论了其渐近性态。
In refined network analysis, a compact network model is combined with distributed models for semiconductor devices in a multidimensional approach. For linear RLC networks containing diodes as distributed devices, we construct a mathematical model that joins the differential-algebraic initial value problem for the electric circuit with parabolic-elliptic boundary value problems modeling the diodes. For this mixed initial boundary value problem of partial differential-algebraic equations a first existence and uniqueness result is given, and its asymptotic behavior is discussed.