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The multi-period dynamics of energy storage (ES), intermittent renewable generation and uncontrollable power loads, make the optimization of power system operation (PSO) challenging. A multi-period optimal PSO under uncertainty is…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Ren Hu , Qifeng Li

Determining contingency aware dispatch decisions by solving a security-constrained optimal power flow (SCOPF) is challenging for real-world power systems, as the high problem dimensionality often leads to impractical computational…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Richard Weinhold , Robert Mieth

The increasing integration of renewable energy, particularly offshore wind, introduces significant uncertainty into hybrid AC-HVDC systems due to forecast errors and power fluctuations. Conventional control strategies typically rely on…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Hongjin Du , Rahul Rane , Weijie Xia , Pedro P. Vergara , Aleksandra Lekić

Evolving power systems with increasing levels of stochasticity call for a need to solve optimal power flow problems with large quantities of random variables. Weather forecasts, electricity prices, and shifting load patterns introduce…

Optimization and Control · Mathematics 2016-09-09 Kyri Baker , Bridget Toomey

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

Optimization and Control · Mathematics 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

Optimization and Control · Mathematics 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Rabayet Sadnan , Anamika Dubey

This paper proposes a distributionally robust optimal power flow (OPF) model for transmission grids with wind power generation. The model uses the conditional value-at-risk (CVaR) constraints to control the reserve and branch flow limit…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Lei You , Hui Ma , Tapan Kumar Saha , Gang Liu

Linear approximations of the AC power flow equations are of great significance for the computational efficiency of large-scale optimal power flow (OPF) problems. Put differently, the feasibility of the obtained solution is essential for…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Meiyi Li , Yuhan Du , Javad Mohammadi , Constance Crozier , Kyri Baker , Soummya Kar

The Optimal Power Flow (OPF) problem is a fundamental building block for the optimization of electrical power systems. It is nonlinear and nonconvex and computes the generator setpoints for power and voltage, given a set of load demands. It…

Signal Processing · Electrical Eng. & Systems 2019-12-04 Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

This paper presents an adaptive stochastic spectral embedding (ASSE) method to solve the probabilistic AC optimal power flow (AC-OPF), a critical aspect of power system operation. The proposed method can efficiently and accurately estimate…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Xiaoting Wang , Jingyu Liu , Xiaozhe Wang

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

Optimization and Control · Mathematics 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

This chapter presents recent solutions to the optimal power flow (OPF) problem in the presence of renewable energy sources (RES), {such} as solar photo-voltaic and wind generation. After introducing the original formulation of the problem,…

Optimization and Control · Mathematics 2019-05-27 Mohammadreza Chamanbaz , Fabrizio Dabbene , Constantino Lagoa

Optimal power flow (OPF) over power transmission networks poses challenging large-scale nonlinear optimization problems, which involve a large number of quadratic equality and indefinite quadratic inequality constraints. These…

Systems and Control · Computer Science 2018-02-14 Y. Shi , H. D. Tuan , P. Apkarian , A. V. Savkin

With increasing share of renewables in power generation mix, system operators would need to run Optimal Power Flow (OPF) problems closer to real-time to better manage uncertainty. Given that OPF is an expensive optimization problem to…

Signal Processing · Electrical Eng. & Systems 2020-12-22 Alex Robson , Mahdi Jamei , Cozmin Ududec , Letif Mones

Optimal power flow (OPF) is an important problem for power generation and it is in general non-convex. With the employment of renewable energy, it will be desirable if OPF can be solved very efficiently so its solution can be used in real…

Optimization and Control · Mathematics 2011-09-27 Albert Y. S. Lam , Baosen Zhang , David Tse

The modern power grid is witnessing a shift in operations from traditional control methods to more advanced operational mechanisms. Due to the nonconvex nature of the Alternating Current Optimal Power Flow (ACOPF) problem and the need for…

Systems and Control · Electrical Eng. & Systems 2024-08-30 Junfei Wang , Pirathayini Srikantha

Non-convex AC optimal power flow (AC-OPF) is a fundamental optimization problem in power system analysis. The computational complexity of conventional solvers is typically high and not suitable for large-scale networks in real-time…

Systems and Control · Electrical Eng. & Systems 2022-12-09 Kejun Chen , Shourya Bose , Yu Zhang

The increase in renewable energy sources (RESs), like wind or solar power, results in growinguncertainty also in transmission grids. This affects grid stability through fluctuating energy supplyand an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-12-07 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

This paper studies optimization proxies, machine learning (ML) models trained to efficiently predict optimal solutions for AC Optimal Power Flow (ACOPF) problems. While promising, optimization proxy performance heavily depends on training…

Machine Learning · Computer Science 2025-11-11 Miao Li , Michael Klamkin , Pascal Van Hentenryck , Wenting Li , Russell Bent