A Robust Approach to Chance Constrained Optimal Power Flow With Renewable Generation

• Published in: IEEE transactions on power systems Vol. 31; no. 5; pp. 3840 - 3849
• Main Authors: Lubin, Miles, Dvorkin, Yury, Backhaus, Scott
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2016; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Chance constrained optimization; Computational modeling; Constraints; Data buses; distributionally robust optimization; Electric utilities; ENERGY PLANNING, POLICY, AND ECONOMY; Energy Sciences; Generators; Mathematical models; Minimum cost; optimal power flow; Optimization; optimization methods; Power flow; power system economics; POWER TRANSMISSION AND DISTRIBUTION; Programming; Robustness; Uncertainty; Wind forecasting; wind power integration; wind power uncertainty; wind power variability
• ISSN: 0885-8950; 1558-0679
• DOI: 10.1109/TPWRS.2015.2499753

Optimal Power Flow (OPF) dispatches controllable generation at minimum cost subject to operational constraints on generation and transmission assets. The uncertainty and variability of intermittent renewable generation is challenging current deterministic OPF approaches. Recent formulations of OPF use chance constraints to limit the risk from renewable generation uncertainty, however, these new approaches typically assume the probability distributions which characterize the uncertainty and variability are known exactly. We formulate a robust chance constrained (RCC) OPF that accounts for uncertainty in the parameters of these probability distributions by allowing them to be within an uncertainty set. The RCC OPF is solved using a cutting-plane algorithm that scales to large power systems. We demonstrate the RRC OPF on a modified model of the Bonneville Power Administration network, which includes 2209 buses and 176 controllable generators. Deterministic, chance constrained (CC), and RCC OPF formulations are compared using several metrics including cost of generation, area control error, ramping of controllable generators, and occurrence of transmission line overloads as well as the respective computational performance.