Cost-effective power system operation with nonparametric Probabilistic optimal power flow and quantile regression forests method
摘要
With the growing penetration of renewable energy sources (RESs), power system operation faces increased uncertainty, making probabilistic optimal power flow (POPF) essential for secure and cost-effective decision-making. Many existing POPF approaches rely on parametric distribution assumptions and approximation techniques, which can reduce accuracy—especially under non-Gaussian uncertainties—and may lead to high computational cost. This paper proposes a non-parametric POPF (N-POPF) framework that represents uncertainty using quantiles, thereby avoiding explicit assumptions about input probability distributions. To solve the resulting N-POPF efficiently, we develop a Quantile Regression Forest (QRF)-based method that learns an inverse power flow mapping and combines critical-region (CR) partitioning with a discrete integration procedure to compute probabilistic outputs. The proposed approach is evaluated on the IEEE 24-bus, IEEE 118-bus, and modified IEEE 300-bus test systems and is compared with common benchmark methods. The results demonstrate that the proposed QRF-based N-POPF provides accurate quantile estimates while maintaining favorable computational performance, supporting its applicability to power system operation studies with significant renewable integration.