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This paper presents a Fourier integral pseudospectral (FIPS) method for a general class of nonlinear, periodic optimal control (OC) problems with equality and/or inequality constraints and sufficiently smooth solutions. In this scheme, the…

Optimization and Control · Mathematics 2023-11-14 Kareem T. Elgindy

This paper presents three quantum interior-point methods (QIPMs) tailored to tackle the DC optimal power flow (DCOPF) problem using noisy intermediate-scale quantum devices. The optimization model is redefined as a linearly constrained…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Farshad Amani , Amin Kargarian

This paper considers distribution networks featuring inverter-interfaced distributed energy resources, and develops distributed feedback controllers that continuously drive the inverter output powers to solutions of AC optimal power flow…

Optimization and Control · Mathematics 2016-06-22 Emiliano Dall'Anese , Andrea Simonetto

Real-time optimal power flow (RT-OPF) under wind energy penetration is highly desired but extremely difficult to realize. This is basically due to the conflict between the fast changes in wind power generation and the slow response from the…

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

In this letter, we present an alternative mixed-integer non-liner programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order cone programming (MISOCP) based approach to find global…

Optimization and Control · Mathematics 2021-03-12 Sezen Ece Kayacık , Burak Kocuk

As the size and ubiquity of artificial intelligence and computational machine learning (ML) models grow, their energy consumption for training and use is rapidly becoming economically and environmentally unsustainable. Neuromorphic…

Disordered Systems and Neural Networks · Physics 2023-10-17 Menachem Stern , Sam Dillavou , Dinesh Jayaraman , Douglas J. Durian , Andrea J. Liu

The optimal power flow (OPF) problem is fundamental in power system operations and planning. Large-scale renewable penetration in distribution networks calls for real-time feedback control, and hence the need for fast and distributed…

Optimization and Control · Mathematics 2016-05-19 Qiuyu Peng , Steven H. Low

Convex relaxations and approximations of the optimal power flow (OPF) problem have gained significant research and industrial interest for planning and operations in electric power networks. One approach for reducing their solve times is…

Optimization and Control · Mathematics 2025-09-09 Shourya Bose , Kejun Chen , Yu Zhang

Linear approximation commonly used in solving alternating-current optimal power flow (AC-OPF) simplifies the system models but incurs accumulated voltage errors in large power networks. Such errors will make the primal-dual type gradient…

Optimization and Control · Mathematics 2023-06-08 Heng Liang , Xinyang Zhou , Changhong Zhao

One of the significant challenges linked with the massive integration of distributed energy resources (DER) in the active distribution grids is the uncertainty it brings along. The grid operation becomes more arduous to avoid voltage or…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Rajkumar Palaniappan , Jan-Niklas Ceschlaw , Stavros Karagiannopoulos , Christian Rehtanz

Optical computing holds promise for high-speed, energy-efficient information processing, with diffractive optical networks emerging as a flexible platform for implementing task-specific transformations. A challenge, however, is the…

Machine Learning · Computer Science 2026-01-05 Yuhang Li , Shiqi Chen , Tingyu Gong , Aydogan Ozcan

Physics-Informed Neural Networks present a novel approach in SciML that integrates physical laws in the form of partial differential equations directly into the NN through soft constraints in the loss function. This work studies the…

Neural and Evolutionary Computing · Computer Science 2026-02-17 Suhas Suresh Bharadwaj , Reuben Thomas Thovelil

We examine market outcomes in energy transport networks with a focus on gas-fired generators, which are producers in a wholesale electricity market and consumers in the natural gas market. Market administrators monitor bids to determine…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Noah Rhodes , Sachin Shivakumar , Luke S. Baker , Kaarthik Sundar , Anatoly Zlotnik

Using machine learning to obtain solutions to AC optimal power flow has recently been a very active area of research due to the astounding speedups that result from bypassing traditional optimization techniques. However, generally ensuring…

Optimization and Control · Mathematics 2022-02-18 Kyri Baker

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 inverse Stefan problem, as a typical phase-change problem with moving boundaries, finds extensive applications in science and engineering. Recent years have seen the applications of physics-informed neural networks (PINNs) to solving…

Machine Learning · Computer Science 2025-10-27 Pei-Zhi Zhuang , Ming-Yue Yang , Fei Ren , Hong-Ya Yue , He Yang

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

Wireless networks supporting artificial intelligence have gained significant attention, with Over-the-Air Federated Learning emerging as a key application due to its unique transmission and distributed computing characteristics. This paper…

Machine Learning · Computer Science 2024-10-24 Yifan Wang , Cheng Zhang , Yuanndon Zhuang , Mingzeng Dai , Haiming Wang , Yongming Huang

New resource mix, e.g., renewable resources, are imposing operational complexities to modern power systems by intensifying uncertainty and variability in the system net load. This issue has motivated independent system operators (ISOs),…

Systems and Control · Electrical Eng. & Systems 2020-12-10 Mohammad Ghaljehei , Mojdeh Khorsand

Transmission system operators face a variety of discrete operational decisions, such as switching of branches and/or devices. Incorporating these decisions into optimal power flow (OPF) results in mixed-integer non-linear programming…

Optimization and Control · Mathematics 2025-10-24 Constance Crozier
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