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This paper presents a new method with considering the probabilistic characteristics of harmonic current sources for single-tuned harmonic filter planning in the power system. The filter planning problem is formulated as an unconstrained optimization problem. The objective is to minimize the voltage distortion throughout the system while determining the optimal filter locations and sizes. The usefulness of the proposed approach is test by an actual distribution system. Results show that the proposed method is robust and computationally efficient.

Power cable capacitance is used to provide data for research and development, engineering design, quality control, and acceptance or rejection under specifications. This study aims at calculating the XLPE cable capacitance effects of semi-conductive layer with various permittivity values. Factors under consideration of calculating the cable capacitance includes the dielectric constant, diameter, and thickness for presenting "equivalent capacitance" and estimation. The usefulness of the paper is to show the factors which affect the cable capacitance and can be used for specifying the correct value for cable capacitance to set the production control rules for capacitance deviation control.

This paper presents a new theory of optimization-based control strategy to determine the reference compensation voltages of a series active power filter (APF) operated under non-ideal supply voltages in the steady state. With using the proposed optimal control strategy, the load-side voltages can be flexibly maintained being balanced and sinusoidal. The usefulness of the proposed control strategy is demonstrated through simulations by using Matlab. Results show that the proposed method works well for series APF control with an optimal size.

This paper presents a simplified forward and backward approach for load flow analysis in radial distribution system. The proposed method includes two phases. At Phase I (forward sweep), the KCL and KVL are used to find the calculated voltage for each bus located at upstream of each line segment or transformer. At Phase II (backward sweep), the linear proportion concept for real and imaginary decomposition is adopted to find the ratios of real and imaginary parts of specified voltage to the calculated voltage at each upstream bus. Then, the voltage at each downstream bus is updated by real and imaginary parts of initial or calculated voltage multiplying with the corresponding ratios, respectively. The solution procedure is terminated after the mismatch of calculated voltage and specified voltage of substation is less than the tolerance value. The proposed method is tested with three IEEE distribution benchmark systems. Results show that the proposed method is effective, computationally robust, and faster than conventional forward/backward sweep and the ladder iteration method.