PV Hosting Capacity Assessment of Storage-Integrated Distribution Systems With Constrained PV Curtailment and Load Shedding Under Fault Conditions

In recent years, distributed photovoltaic (PV) systems have experienced accelerated deployment in distribution networks, driven by inherent advantages. However, high-penetration PV integration introduces critical operational challenges, including voltage violations and reverse power flows, which become progressively more pronounced as penetration levels increase and may ultimately harm user interests. To comprehensively assess the network's PV hosting capacity (PVHC) while safeguarding the interests of both PV owners and load consumers, this article proposes a novel stochastic biscenario (prefault and postfault) assessment framework, which explicitly quantifies and constrains postfault PV curtailment and load shedding, mediated by battery energy storage systems. We derive an analytical linearized expression for the nonlinear PV curtailment under all N-1 contingencies, transforming the original PVHC assessment model into a tractable mixed-integer linear programming model. Furthermore, our analysis reveals that, an inherent tradeoff exists between reducing fault-induced PV curtailment and enhancing load reliability in storage-integrated grids due to state of charge constraints, which holds significant guiding importance for the practical industrial application of PV integration. Finally, the effectiveness, and scalability of the proposed method are verified through different test systems.