A Stochastic Methodology for PV System Allocation in Power Distribution Networks

The increasing penetration rate of photovoltaic generation (PV) in distribution networks has led system operators to face several challenges such as overvoltage, voltage fluctuations, frequency fluctuations, and reverse power flow. This paper introduces a stochastic approach to determine the impact of Hosting Capacity (HC) on a real distribution network in terms of voltage profiles and power losses. The methodology uses historical data of temperature and irradiance over one year, which served as inputs for the stochastic allocation of PV units. Later, PV installation points and the generation capacities are randomly assigned based on historical data. HC is evaluated across various PV penetration rate, analyzing its effects on voltage problems (undervoltage and overvoltage) and power losses. The results demonstrate the effectiveness of PV placement in mitigating voltage issues and identifying the proper HC. Key words. Hosting Capacity, Monte Carlo simulation, stochastic method, photovoltaic systems, Power Distribution Systems, Power Losses, Voltage Profile, Charging.