A complete modeling technique for unshielded power cables is proposed. The focus is on applications where the resonance phenomena take place in electrically long cables and is originated from periodic excitation, such as power converters. The resonance problems caused by switching converters tend to become more common with the advent of wide band gap semiconductors. This paper includes a new experimental protocol specific for unshielded power cable parameter identification in a wide frequency band, from DC up to medium frequencies (tens of MHz), with an impedance analyzer. It also introduces a frequency-domain simulation tool with conversion to the time domain, via the Fourier series. This frequency-domain modeling is straightforward, and its accuracy depends only on the accuracy of the cable parameter identification.

A novel numerical analysis to characterize and to visualize the resonance behavior in a long cable is proposed. The resonance-due maximum amplification, and the frequency and position to which the maximum occurs, are represented in function of the load connected to the cable terminal in a 3-D plot here denominated "resonance surface response." This analysis is based on a white box modeling and allows the design of protective measures against the resonance phenomenon, such as filter design, protection against cross-talk, adequate voltage insulation choice, etc. One of these applications is exemplified: the design of an output filter for a power converter connected to a long cable, from which the results are compared to a classical design of the same filter to highlight the advantages and demonstrate the robustness of the proposed technique.Index Terms-Embedded system design, power cable, resonance in long cable, white-box model.

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