A Tool for Phase Spectrum Retrieval from Impedance Amplitude Spectrum
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The estimation of load impedance spectrum is required in the research and applications of electrical engineering. Some of the current applications are the grid impedance estimation of active filters, the research of the propagation of EMI (Electro Magnetic Interference) and power line communication. The direct measurement of load impedance, in the frequency range in question, requires synchronous voltage and current measurement, which can be difficult. Compared to the direct impedance spectrum measurement, the measurement of impedance amplitude spectrum is a simple and low-cost method since e.g. only peak or RMS (Root-Mean-Square) value of current and voltage for each measured frequency is required. This article presents a method and a tool based on the method that allows one to compute the phase spectrum estimate for the impedance amplitude spectrum. The method is based on the maximum entropy model (MEM). The applicability of the tool is demonstrated with input impedance measurements of a low voltage power cable and a low voltage electric motor, where both the amplitude and the phase spectrum of input impedance were measured in the frequency range of 100 kHz – 30 MHz.
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