The Switch-Line: A Simple Lumped Transmission Line that can Support Unattenuated Propagation

The Switch-Line: A Simple Lumped Transmission Line that can Support Unattenuated Propagation
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开关线:可支持无衰减传播的简单集总传输线

DOI:
10.1109/tct.1966.1082639
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发表时间:
1966
期刊:
IEEE Transactions on Circuit Theory
影响因子:
--
通讯作者:
I. Richer
I. Richer
中科院分区:
--
文献类型:
--
作者:
I. Richer

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“开关线”被定义为在每一段中包含串联电阻器、并联电容器和并联开关(对于大于某个固定阈值的电压,开关打开;否则,开关闭合)的集总传输线。证明了这种非线性、有损耗的传输线可以无衰减地传输波形,并且每段具有恒定的时延。推导出了传播波形的精确解,并给出了与阈值和每段时延有关的关键结果的简单近似公式。该公式用于获得与每个开关串联的具有电导的更一般的集总线路的参数之间的对应关系。
A "switch-line" is defined as a lumped transmission line containing in each section a series resistor, a shunt capacitor, and a shunt switch (switch open for voltages greater than some fixed threshold; switch closed otherwise). It is proved that this nonlinear, lossy line can propagate a waveform without attenuation and with constant time delay per section. An exact solution for the propagating waveform is derived, and a simple, approximate formula is given for the key result relating the threshold and the time delay per section. This formula is utilized in obtaining a corresponding relation between the parameters of a more general lumped line having a conductance in series with each switch.