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Power grid operators typically solve large-scale, nonconvex optimal power flow (OPF) problems throughout the day to determine optimal setpoints for generators while adhering to physical constraints. Despite being at the heart of many OPF…

最优化与控制 · 数学 2020-11-03 Kyri Baker

This paper introduces a framework for solving alternating current optimal power flow (ACOPF) problems using graphics processing units (GPUs). While GPUs have demonstrated remarkable performance in various computing domains, their…

最优化与控制 · 数学 2026-05-11 Sungho Shin , François Pacaud , Mihai Anitescu

Optimal inverse design, including topology optimization and evaluation of fundamental bounds on performance, which was introduced in Part~1, is applied to various antenna design problems. A memetic scheme for topology optimization combines…

最优化与控制 · 数学 2023-10-10 Miloslav Capek , Lukas Jelinek , Petr Kadlec , Mats Gustafsson

Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

最优化与控制 · 数学 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

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…

系统与控制 · 电气工程与系统科学 2024-08-30 Junfei Wang , Pirathayini Srikantha

This paper develops a computationally efficient algorithm which speeds up the probabilistic power flow (PPF) problem by exploiting the inherently low-rank nature of the voltage profile in electrical power distribution networks. The…

系统与控制 · 电气工程与系统科学 2021-10-15 Samuel Chevalier , Luca Schenato , Luca Daniel

The optimal power flow problem plays an important role in the market clearing and operation of electric power systems. However, with increasing uncertainty from renewable energy operation, the optimal operating point of the system changes…

最优化与控制 · 数学 2018-01-25 Yeesian Ng , Sidhant Misra , Line A. Roald , Scott Backhaus

We propose a new method to efficiently compute load-flows (the steady-state of the power-grid for given productions, consumptions and grid topology), substituting conventional simulators based on differential equation solvers. We use a deep…

机器学习 · 统计学 2018-01-31 Benjamin Donnot , Isabelle Guyon , Marc Schoenauer , Antoine Marot , Patrick Panciatici

The effective management of stochastic characteristics of renewable power generations is vital for ensuring the stable and secure operation of power systems. This paper addresses the task of optimizing the chance-constrained…

系统与控制 · 电气工程与系统科学 2024-01-05 Yuanxi Wu , Zhi Wu , Yijun Xu , Huan Long , Wei Gu , Shu Zheng , Jingtao Zhao

The Optimal Power Shutoff (OPS) problem is an optimization problem that makes power line de-energization decisions in order to reduce the risk of igniting a wildfire, while minimizing the load shed of customers. This problem, with DC linear…

最优化与控制 · 数学 2024-03-27 Eric Haag , Noah Rhodes , Line Roald

Electric power grids are essential components of modern life, delivering reliable power to end-users while adhering to a multitude of engineering constraints and requirements. In grid operations, the Optimal Power Flow problem plays a key…

系统与控制 · 电气工程与系统科学 2025-07-29 Mostafa Mohammadian , Anna Van Boven , Kyri Baker

Managing power grids with the increasing presence of variable renewable energy-based (distributed) generation involves solving high-dimensional optimization tasks at short intervals. Linearizing the AC power flow (PF) constraints is a…

最优化与控制 · 数学 2025-09-09 Yuhao Chen , Manish K. Singh

The Security-Constrained Unit Commitment (SCUC) problem presents formidable computational challenges due to its combinatorial complexity, large-scale network dimensions, and numerous security constraints. While conventional temporal…

最优化与控制 · 数学 2025-07-29 Jinxin Xiong , Linxin Yang , Yingxiao Wang , Yanting Huang , Jianghua Wu , Shunbo Lei , Akang Wang

The AC Optimal Power Flow (AC-OPF) problem is a core building block in electrical transmission system. It seeks the most economical active and reactive generation dispatch to meet demands while satisfying transmission operational limits. It…

系统与控制 · 电气工程与系统科学 2023-03-16 Terrence W. K. Mak , Ferdinando Fioretto , Pascal VanHentenryck

This paper proposes a data-driven approach for optimal power flow (OPF) based on the stacked extreme learning machine (SELM) framework. SELM has a fast training speed and does not require the time-consuming parameter tuning process compared…

系统与控制 · 电气工程与系统科学 2020-06-02 Xingyu Lei , Zhifang Yang , Juan Yu , Junbo Zhao , Qian Gao , Hongxin Yu

Solving the nonlinear AC optimal power flow (AC OPF) problem remains a major computational bottleneck for real-time grid operations. In this paper, we propose a residual learning paradigm that uses fast DC optimal power flow (DC OPF)…

机器学习 · 计算机科学 2025-10-21 Muhy Eddin Za'ter , Bri-Mathias Hodge , Kyri Baker

In recent years, there has been a huge trend to penetrate renewable energy sources into energy networks. However, these sources introduce uncertain power generation depending on environmental conditions. Therefore, finding 'optimal' and…

最优化与控制 · 数学 2019-02-26 Erfan Mohagheghi , Abebe Geletu , Nils Bremser , Mansour Alramlawi , Aouss Gabash , Pu Li

In this paper, we consider a chance-constrained formulation of the optimal power flow problem to handle uncertainties resulting from renewable generation and load variability. We propose a tuning method that iterates between solving an…

最优化与控制 · 数学 2020-05-28 Ashley M. Hou , Line A. Roald

Load flow analysis is a fundamental technique used by electrical engineers to simulate and evaluate power system behavior under steady-state conditions. It enables efficient operation and control by determining how active and reactive power…

系统与控制 · 电气工程与系统科学 2025-07-15 Sampson E. Nwachukwu

Optimal Power Flow (OPF) is a valuable tool for power system operators, but it is a difficult problem to solve for large systems. Machine Learning (ML) algorithms, especially Neural Networks-based (NN) optimization proxies, have emerged as…

人工智能 · 计算机科学 2024-05-13 Rahul Nellikkath , Mathieu Tanneau , Pascal Van Hentenryck , Spyros Chatzivasileiadis