On passivity and power-balance inequalities of nonlinear RLC circuits
On passivity and power-balance inequalities of nonlinear RLC circuits
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DOI：
10.1109/tcsi.2003.816332
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发表时间：
2003-09
影响因子：
5.1
通讯作者：
D. Jeltsema;R. Ortega;J. Scherpen
中科院分区：
文献类型：
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作者：
D. Jeltsema;R. Ortega;J. Scherpen
无源（可能是非线性）电阻器、电感器和电容器的任意互连定义了无源系统，其中电源端口改变外部源电压和电流，存储函数改变总存储能量。在本文中，我们确定了一类 RLC 电路（具有凸能量函数和弱电磁耦合），对于这种电路，可以为保留无源性的端口端子“添加微分” - 具有与电路功率直接相关的新存储功能。为了确定我们的结果，我们利用了 RLC 电路中的电压和电流存在于正交空间中的几何特性，即特勒根定理，并在很大程度上依赖于 Brayton 和 Moser (1964) 的开创性论文。
Arbitrary interconnections of passive (possibly nonlinear) resistors, inductors, and capacitors define passive systems, with power port variables the external source voltages and currents, and storage function the total stored energy. In this paper, we identify a class of RLC circuits (with convex energy function and weak electromagnetic coupling), for which it is possible to "add a differentiation" to the port terminals preserving passivity-with a new storage function that is directly related to the circuit power. To establish our results, we exploit the geometric property that voltages and currents in RLC circuits live in orthogonal spaces, i.e., Tellegen's theorem, and heavily rely on the seminal paper of Brayton and Moser (1964).