Stochastic Optimal Power Flow Considering Renewable Generation Uncertainty in Distribution Systems

Author(s)	Mr. ANUP KUMAR MAHTO, Mr. SANDIP KUMAR
Country	India
Abstract	The increasing penetration of renewable energy sources (RES), particularly solar photovoltaic (PV) and wind power, introduces significant uncertainty into distribution networks, affecting voltage stability, power losses, and operational reliability. This paper proposes a stochastic optimal power flow (SOPF) framework that explicitly models renewable generation uncertainty in distribution systems. A probabilistic modeling approach based on scenario generation is adopted to represent the variability of RES output. The objective function minimizes expected operational cost and power losses while satisfying voltage, thermal, and generation constraints under uncertainty. The proposed stochastic formulation is solved using a scenario-based optimization technique integrated with a metaheuristic algorithm. Simulation results on the IEEE 33-bus distribution system demonstrate improved voltage profile, reduced expected losses, and enhanced system robustness compared to deterministic OPF approaches.
Keywords	Optimal Power Flow, Probabilistic Uncertainty, Stochastic Optimal Power Flow (SOPF), Renewable Energy Sources (RES, IEEE 33-bus system
Field	Engineering
Published In	Volume 7, Issue 3, March 2026
Published On	2026-03-11

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