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Nonconvexity induced by the nonlinear AC power flow equations challenges solution algorithms for AC optimal power flow (OPF) problems. While significant research efforts have focused on reliably computing high-quality OPF solutions, it is…

Optimization and Control · Mathematics 2020-02-18 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

The recent rise of electricity generation based on renewable energy sources increases the demand for transmission capacity. Capacity expansion via the upgrade of transmission line capacity, e.g., by conversion to a high-voltage direct…

Optimization and Control · Mathematics 2016-11-01 Matthias Hotz , Wolfgang Utschick

The AC Optimal Power Flow (AC-OPF) is a key building block in many power system applications. It determines generator setpoints at minimal cost that meet the power demands while satisfying the underlying physical and operational…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Minas Chatzos , Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

The growing penetration of distributed energy resources (DERs), electric vehicles (EVs), and heat pumps (HPs) in distribution networks underscores the need for secure, computationally efficient optimal power flow (OPF) solutions.…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Savvas Panagi , Chrysovalantis Spanias , Petros Aristidou

OPF problems are formulated and solved for power system operations, especially for determining generation dispatch points in real-time. For large and complex power system networks with large numbers of variables and constraints, finding the…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Thuan Pham , Xingpeng Li

Deep Neural Networks (DNNs) approaches for the Optimal Power Flow (OPF) problem received considerable attention recently. A key challenge of these approaches lies in ensuring the feasibility of the predicted solutions to physical system…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Tianyu Zhao , Xiang Pan , Minghua Chen , Andreas Venzke , Steven H. Low

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

Optimization and Control · Mathematics 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

A prominent challenge to the safe and optimal operation of the modern power grid arises due to growing uncertainties in loads and renewables. Stochastic optimal power flow (SOPF) formulations provide a mechanism to handle these…

Optimization and Control · Mathematics 2021-12-07 Sarthak Gupta , Sidhant Misra , Deepjyoti Deka , Vassilis Kekatos

In this paper (Part II) we implement the prediction-updating approach developed in Part I to address fast changes in wind power generation when solving a complex real-time optimal power flow (RT-OPF) problem. The approach considers…

Optimization and Control · Mathematics 2018-07-02 Erfan Mohagheghi , Aouss Gabash , Pu Li

This paper focuses on the AC Optimal Power Flow (OPF) problem for multi-phase systems. Particular emphasis is given to systems with high integration of renewables, where adjustments of the real and reactive output powers from renewable…

Optimization and Control · Mathematics 2016-12-22 Ahmed S. Zamzam , Nicholas D. Sidiropoulos , Emiliano Dall'Anese

With the increasing penetration of Inverter-Based Resources (IBRs), power system stability constraints must be incorporated into the operational framework, transforming it into stability-constrained optimization. Currently, there exist…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Wangkun Xu , Zhongda Chu , Florin Capitanescu , Fei Teng

This paper formalizes an optimal water-power flow (OWPF) problem to optimize the use of controllable assets across power and water systems while accounting for the couplings between the two infrastructures. Tanks and pumps are optimally…

Optimization and Control · Mathematics 2017-11-09 Ahmed S. Zamzam , Emiliano Dall'Anese , Changhong Zhao , Josh A. Taylor , Nicholas D. Sidiropoulos

HVDC is a critically important technology for the large-scale integration of renewable resources such as offshore wind farms. Currently, only point-to-point and multi-terminal HVDC connections exist in real-life operation. However, with the…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chandra Kant Jat , Jay Dave , Dirk Van Hertem , Hakan Ergun

The proliferation of phasor measurement units (PMUs) into electric power distribution grids presents new opportunities for utility operators to manage distribution systems more effectively. One potential application of PMU measurements is…

Optimization and Control · Mathematics 2019-06-27 Michael D. Sankur , Roel Dobbe , Alexandra von Meier , Emma M. Stewart , Daniel B. Arnold

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

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms…

Adaptation and Self-Organizing Systems · Physics 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

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

Smart devices, storage and other distributed technologies have the potential to greatly improve the utilisation of network infrastructure and renewable generation. Decentralised control of these technologies overcomes many scalability and…

Optimization and Control · Mathematics 2024-10-30 Paul Scott , Sylvie Thiébaux

With the growing integration of modular multilevel converters (MMCs) in Multi-Terminal Direct Current (MTDC) transmission systems, there is an increasing need for control strategies that ensure both economic efficiency and robust dynamic…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Hongjin Du , Tuanku Badzlin Hashfi , Rashmi Prasad , Pedro P. Vergara , Peter Palensky , Aleksandra Lekić

This paper introduces a novel distributed optimization framework for large-scale AC Optimal Power Flow (OPF) problems, offering both theoretical convergence guarantees and rapid convergence in practice. By integrating smoothing techniques…

Optimization and Control · Mathematics 2026-03-04 Xinliang Dai , Yuning Jiang , Yi Guo , Colin N. Jones , Moritz Diehl , Veit Hagenmeyer