In this patent, the optimal single-tuned passive harmonic filter corresponding to the maximum expected value of the annual gain due to the power loss reduction is determined. Voltage and load current harmonics, as well as source and load impedances are represented as randomly time-varying quantities. The distribution characteristics of these random variables at a supply bus can be determined by sampling measurements performed on the examined electrical plant, as well as statistical analysis. The major advantage of this method is that it, unlike conventional approaches, guarantees convergence to the optimal solution. The contribution of the developed method is demonstrated in examples taken from existing publications.
Keywords: Optimization, power systems harmonics, power factor, probability, System Admittance, Uncompensated System, Harmonic Distortion
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