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Discussion on the Compression of the Resistance Range in Two-port Networks
Year: 2014
Fig. 1. LTI lossless two port network.
Thus, this work examines the existence and practicality of the resistance compression networks for resonant power conversion. The investigation has been carried out generalizing a compression network as the Linear, Time-Invariant, lossless two-port network (Fig. 1). ABCD parameters have been used in the analysis. After some mathematical derivations, it was found that such a range in a compression circuit cannot be synthetized. Fig. 2 summarizes the issue. Although the compression can be achieved when looking at the real part of the input impedance (range [10 ω, 100 ω] compressed to [1 ω, 6 ω]), it is not possible to keep the imaginary part of the impedance small. The solution has to be found as a time-variant circuit and one such practical topology will be presented in the full paper, namely a resistive point-compressor, where a range of resistance is compressed to a single point only.
Fig. 2. Parasitic inductance with different switching loops.
