Analytical calculation method for PV hosting capacity of distribution network based on time series feasible region and power moment

作者：Fengzhang Luo, Kuangyu Kong, Yue Guo, Yu (1980 - ) Song, xuyang Wang, Yang Liu · 发表于：Electric Power Systems Research · 年份：2026 · DOI：10.1016/j.epsr.2026.113001 · 被引用次数：1 · 研究领域：Optimal Power Flow Distribution、Power System Optimization and Stability、Smart Grid Energy Management

The feasible region is an essential tool for evaluating the distributed photovoltaic (PV) hosting capacity. However, traditional feasible region solving methods, such as the convex envelope method and point-by-point method, are computationally complex and time-consuming. To address these issues, this paper proposes a power moment-based method for solving the feasible region of distributed PV hosting capacity. First, to characterize the combined effects of PV installation location and capacity on voltage and current in the distribution network, the concept of power moments is introduced, and the mathematical expression of power moments is proposed. Then, voltage deviation and line current constraints are incorporated, and an analytical model of the static feasible region for PV hosting capacity is proposed based on power moments. This is followed by a characterization method for the time series feasible region (TSFR) that accounts for the temporal characteristics of PV output. Finally, the effectiveness of the proposed model and method is validated using the IEEE 33-bus system and a practical 106-bus distribution system in Northern China. The results demonstrate that, as the dimension of the feasible region and the number of system buses increase, the computational time of the proposed power moment method scales linearly, enabling fast and accurate computation of the high-dimensional TSFR of distributed PV hosting capacity in large-scale systems. Moreover, the TSFR is primaril...