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Power systems face increasing challenges on reliable operations due to thewidespread distributed generators (DGs), e.g., rooftop PV system in the lowvoltage (LV) distribution grids. Characterizing the hosting capacity (HC) isvital for assessing the total amount of distributed generations that a grid canhold before upgrading. For analyzing HC, some methods conduct extensivesimulations, lacking theoretical guarantees and can time-consuming. Therefore,there are also methods employing optimization over all necessary operationconstraints. But, the complexity and inherent non-convexity lead to non-optimalsolutions. To solve these problems, this paper provides a constructive modelfor HC determination. Based on geometrically obtained globally optimal HC, weconstruct HC solutions sequentially according to realistic constraints, so thatwe can obtain optimal solution even with non-convex model. For practicaladaption, we also consider three-phase unbalance condition and parallelcomputation to speed-up. We validated our method by extensive numerical resultson IEEE standard systems, such as 8-bus and 123-bus radial distribution grids,where the global optimums are obtained and performance illustrations aredemonstrated.

Quantifying Hosting Capacity for Rooftop PV System in LV Distribution Grids