Abstract
This paper investigates the efficiency and accuracy of the best L1 piecewise monotonic data approximation (best L1PMA) in order either to approximate the transfer functions of distribution BPL networks or to reveal the aforementioned transfer functions when various faults occur during their determination. The contribution of this paper is quadruple. First, based on the inherent piecewise monotonicity of distribution BPL transfer functions, a piecewise monotonic data approximation is first applied in BPL networks; best L1PMA is outlined and applied during the determination of distribution BPL transfer functions. Second, suitable performance metrics such as the percent error sum (PES) and fault PES are reported and applied so as to assess the efficiency and accuracy of the best L1PMA during the determination of distribution BPL transfer functions. Third, the factors of distribution BPL networks that influence the performance of best L1PMA are identified. Fourth, the accuracy of the best L1PMA is assessed with respect to its inherent properties, namely, the assumed number of monotonic sections and the nature of faults, that is, faults that follow either continuous uniform distribution (CUD) or normal distribution (ND), during the determination of distribution BPL transfer functions. Finally, best L1PMA may operate as the necessary intermediate antifault method for the theoretical and practical transfer function determination of distribution BPL networks.
Highlights
Electrical power industry at the beginning of the 21st century is facing a variety of technological and economic challenges
Compared against the fault percent error sum (PES), which computes the total sum of the relative differences between the measured transfer function and the theoretical transfer function in the examined frequency range, the impact of several factors on the accuracy of best L1PMA, such as the distribution power grid type, the distribution BPL network topology, the applied coupling scheme, the number of monotonic sections, and the distribution followed by the faults that occurred, is recognized and assessed
Various types of distribution BPL networks are simulated with the purpose of investigating the efficacy of the best L1PMA during the transfer function restoration when various faults occur
Summary
Electrical power industry at the beginning of the 21st century is facing a variety of technological and economic challenges. On the basis of its accurate results, a variety of factors affecting transfer functions of distribution BPL networks are identified, namely, the type of distribution power grid, that is, either overhead or underground, either MV or LV, the topology of the distribution BPL network, the MTL configuration, and the applied coupling scheme, that is, how the BPL signal is injected into power lines. Compared against the fault PES, which computes the total sum of the relative differences between the measured transfer function and the theoretical transfer function in the examined frequency range, the impact of several factors on the accuracy of best L1PMA, such as the distribution power grid type, the distribution BPL network topology, the applied coupling scheme, the number of monotonic sections, and the distribution followed by the faults that occurred, is recognized and assessed.
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