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We develop DeepOPF as a Deep Neural Network (DNN) approach for solving security-constrained direct current optimal power flow (SC-DCOPF) problems, which are critical for reliable and cost-effective power system operation.DeepOPF is inspired…

系统与控制 · 电气工程与系统科学 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen , Shengyu Zhang

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

最优化与控制 · 数学 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

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…

最优化与控制 · 数学 2023-06-08 Heng Liang , Xinyang Zhou , Changhong Zhao

Learning to optimize (L2O) has gained increasing popularity, which automates the design of optimizers by data-driven approaches. However, current L2O methods often suffer from poor generalization performance in at least two folds: (i)…

机器学习 · 计算机科学 2023-03-29 Junjie Yang , Tianlong Chen , Mingkang Zhu , Fengxiang He , Dacheng Tao , Yingbin Liang , Zhangyang Wang

The optimal power flow (OPF) problem can be rapidly and reliably solved by employing responsive online solvers based on neural networks. The dynamic nature of renewable energy generation and the variability of power grid conditions…

系统与控制 · 电气工程与系统科学 2025-02-25 Kejun Chen , Shourya Bose , Yu Zhang

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…

最优化与控制 · 数学 2011-09-27 Albert Y. S. Lam , Baosen Zhang , David Tse

The existence of multiple load-solution mappings of non-convex AC-OPF problems poses a fundamental challenge to deep neural network (DNN) schemes. As the training dataset may contain a mixture of data points corresponding to different…

机器学习 · 计算机科学 2022-06-08 Xiang Pan , Wanjun Huang , Minghua Chen , Steven H. Low

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…

系统与控制 · 计算机科学 2018-02-14 Y. Shi , H. D. Tuan , P. Apkarian , A. V. Savkin

In order to unifiedly coordinate economy and voltage deviations, a novel multi-objective optimal power flow (MOPF) algorithm is proposed for an AC/DC system with VSC-HVDC based on cooperative multi-objective particle swarm optimization…

最优化与控制 · 数学 2019-03-04 Yahui Li , Yang Li , Guoqing Li

Applications abound in which optimization problems must be repeatedly solved, each time with new (but similar) data. Analytic optimization algorithms can be hand-designed to provably solve these problems in an iterative fashion. On one…

最优化与控制 · 数学 2022-09-28 Howard Heaton , Xiaohan Chen , Zhangyang Wang , Wotao Yin

AC optimal power flow (AC OPF) is a fundamental problem in power system operations. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem. To search for global optima, recent…

最优化与控制 · 数学 2024-04-09 Mohammad Rasoul Narimani , Daniel K. Molzahn , Katherine R. Davis , Mariesa L. Crow

This paper considers the problem of controlling inverter-interfaced distributed energy resources (DERs) in a distribution grid to solve an AC optimal power flow (OPF) problem in real time. The AC OPF includes voltage constraints, and seeks…

系统与控制 · 电气工程与系统科学 2024-09-16 Antonin Colot , Yiting Chen , Bertrand Cornelusse , Jorge Cortes , Emiliano Dall'Anese

Tuning step sizes is crucial for the stability and efficiency of optimization algorithms. While adaptive coordinate-wise step sizes have been shown to outperform scalar step size in first-order methods, their use in second-order methods is…

机器学习 · 计算机科学 2025-05-20 Wei Lin , Qingyu Song , Hong Xu

Recent advances have shown that the circuit simulation algorithms that allow for solving highly nonlinear circuits of over one billion variables can be applicable to power system simulation and optimization problems through the use of an…

信号处理 · 电气工程与系统科学 2019-04-11 Marko Jereminov , Athanasios Terzakis , Martin Wagner , Amritanshu Pandey , Larry Pileggi

AC Optimal Power Flow (ACOPF) and Security-Constrained Unit Commitment (SCUC) are fundamental optimization problems in power system operations. ACOPF serves as the physical backbone of grid simulation and real-time operation, enforcing…

机器学习 · 计算机科学 2026-05-05 Zeeshan Memon , Yijiang Li , Hongwei Jin , Kibaek Kim , Liang Zhao

Convex relaxations of AC optimal power flow (AC-OPF) problems have attracted significant interest as in several instances they provably yield the global optimum to the original non-convex problem. If, however, the relaxation is inexact, the…

最优化与控制 · 数学 2020-03-03 Andreas Venzke , Spyros Chatzivasileiadis , Daniel K. Molzahn

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…

最优化与控制 · 数学 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

最优化与控制 · 数学 2024-06-11 Mohsen Amidzadeh

The optimal power flow (OPF) problem is one of the most important optimization problems for the operation of the power grid. It calculates the optimum scheduling of the committed generation units. In this paper, we develop a neural network…

信号处理 · 电气工程与系统科学 2020-08-31 Wenqian Dong , Zhen Xie , Gokcen Kestor , Dong Li

This thesis presents a novel approach to neural network training that addresses the challenge of determining the optimal number of learning factors. The proposed Adaptive Multiple Optimal Learning Factors (AMOLF) algorithm dynamically…

机器学习 · 计算机科学 2024-06-12 Jeshwanth Challagundla