Geometric modeling of nonlinear RLC circuits
Geometric modeling of nonlinear RLC circuits
复制标题
非线性 RLC 电路的几何建模
DOI：
10.1109/tcsi.2004.840481
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
G. Blankenstein
中科院分区：
文献类型：
--
作者：
G. Blankenstein
本文用Brayton-Moser方程描述了含有独立和受控电压源或电流源的非线性RLC电路的动力学行为。底层的几何结构被突出显示，它表明，布雷顿-莫泽方程可以被写为一个动力系统相对于一个非正则狄拉克结构。状态变量是电感器电流和电容器电压。形式主义可以扩展到包括电路的元素过剩，以及一般的不完整的电路。明确指出了与非线性电路哈密顿公式的关系。
In this paper, the dynamics of nonlinear RLC circuits including independent and controlled voltage or current sources is described using the Brayton-Moser equations. The underlying geometric structure is highlighted and it is shown that the Brayton-Moser equations can be written as a dynamical system with respect to a noncanonical Dirac structure. The state variables are inductor currents and capacitor voltages. The formalism can be extended to include circuits with elements in excess, as well as general noncomplete circuits. Relations with the Hamiltonian formulation of nonlinear electrical circuits are clearly pointed out.