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MI-Convex Approximation for the Optimal Siting and Sizing of PVs and D-STATCOMs in Distribution Networks to Minimize Investment and Operating Costs
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MI-Convex Approximation for the Optimal Siting and Sizing of PVs and D-STATCOMs in Distribution Networks to Minimize Investment and Operating Costs
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Journal Article
MI-Convex Approximation for the Optimal Siting and Sizing of PVs and D-STATCOMs in Distribution Networks to Minimize Investment and Operating Costs
2025
Overview
The optimal integration of photovoltaic (PV) systems and distribution static synchronous compensators (D-STATCOMs) in electrical distribution networks is important to reduce their operating costs, improve their voltage profiles, and enhance their power quality. To this effect, this paper proposes a mixed-integer convex (MI-Convex) optimization model for the optimal siting and sizing of PV systems and D-STATCOMs, with the aim of minimizing investment and operating costs in electrical distribution networks. The proposed model transforms the traditional mixed-integer nonlinear programming (MINLP) formulation into a convex model through second-order conic relaxation of the nodal voltage product. This model ensures global optimality and computational efficiency, which is not achieved using traditional heuristic-based approaches. The proposed model is validated on IEEE 33- and 69-bus test systems, showing a significant reduction in operating costs in both feeders compared to traditional heuristic-based approaches such as the vortex search algorithm (VSA), the sine-cosine algorithm (SCA), and the sech-tanh optimization algorithm (STOA). According to the results, the MI-convex model achieves cost savings of up to 38.95% in both grids, outperforming the VSA, SCA, and STOA.
Publisher
MDPI AG
