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Harmonics detection is a critical element of active power filters. A previous review has shown that the Recursive Discrete Fourier Transform and the Instantaneous p-q Theory are effective solutions to extracting power harmonics in single-phase and three-phase power systems, respectively. This paper presents the operating principle of a new modulation function integral observer algorithm that offers a fast solution for the extraction of the fundamental current and the total harmonic current whendoi:10.1109/tpel.2016.2570821 fatcat:j5bh34xeiralfdajv7vw5wvogq