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Optimal power flow (OPF) is a key problem in power system operations. OPF problems that use the nonlinear AC power flow equations to accurately model the network physics have inherent challenges associated with non-convexity. To address…

最优化与控制 · 数学 2020-06-19 Mohammad Rasoul Narimani , Daniel K. Molzahn , Mariesa L. Crow

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

机器学习 · 计算机科学 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

Exact Second Order Conic Programming (SOCP) formulation of AC Optimal Power Flow (ACOPF) consists of non-convex arctangent constraints. Generally, these constraints have been ignored or approximated (at the expense of increased…

系统与控制 · 电气工程与系统科学 2019-10-14 Anamika Tiwari , Abheejeet Mohapatra , Soumya Ranjan Sahoo

As the modern transmission control and relay technologies evolve, transmission line switching has become an important option in power system operators' toolkits to reduce operational cost and improve system reliability. Most recent research…

最优化与控制 · 数学 2017-06-14 Burak Kocuk , Santanu S. Dey , X. Andy Sun

Convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP) and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. The Quadratic Convex (QC) relaxation is a…

计算工程、金融与科学 · 计算机科学 2015-07-30 Carleton Coffrin , Hassan L. Hijazi , Pascal Van Hentenryck

This paper presents a quadratic approximation for the optimal power flow in power distributions systems. The proposed approach is based on a linearized load flow which is valid for power distribution systems including three-phase unbalanced…

最优化与控制 · 数学 2016-10-05 Alejandro Garces

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…

最优化与控制 · 数学 2022-02-18 Kyri Baker

The optimal power flow (OPF) problem, which plays a central role in operating electrical networks is considered. The problem is nonconvex and is in fact NP hard. Therefore, designing efficient algorithms of practical relevance is crucial,…

最优化与控制 · 数学 2014-08-20 S. Magnússon , P. C. Weeraddana , C. Fischione

Optimization problems that involve topology optimization in scenarios with large scale outages, such as post-disaster restoration or public safety power shutoff planning, are very challenging to solve. Using simple power flow…

系统与控制 · 电气工程与系统科学 2025-06-04 Noah Rhodes , James Luedkte , Line Roald

With high penetrations of renewable generation and variable loads, there is significant uncertainty associated with power flows in DC networks such that stability and operational constraint satisfaction are of concern. Most existing DC…

最优化与控制 · 数学 2021-06-14 Jianzhe Liu , Bai Cui , Daniel K. Molzahn , Chen Chen , Xiaonan Lu , Feng Qiu

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

最优化与控制 · 数学 2025-12-23 Babak Taheri , Daniel K. Molzahn

AC optimal power flow (AC-OPF) problems need to be solved more frequently in the future to maintain stable and economic power system operation. To tackle this challenge, a deep neural network-based voltage-constrained approach (DeepOPF-V)…

系统与控制 · 电气工程与系统科学 2021-07-20 Wanjun Huang , Xiang Pan , Minghua Chen , Steven H. Low

We present a scalable solution method based on an alternating direction method of multipliers and graphics processing units (GPUs) for rapidly computing and tracking a solution of alternating current optimal power flow (ACOPF) problem. Such…

最优化与控制 · 数学 2021-10-14 Youngdae Kim , Kibaek Kim

The classical optimal power flow problem optimizes the power flow in a power network considering the associated flow and operating constraints. In this paper, we investigate optimal power flow in the context of utility-maximizing demand…

数据结构与算法 · 计算机科学 2018-03-22 Majid Khonji , Chi-Kin Chau , Khaled Elbassioni

It has been recently proven that the semidefinite programming (SDP) relaxation of the optimal power flow problem over radial networks is exact under technical conditions such as not including generation lower bounds or allowing load…

最优化与控制 · 数学 2015-10-19 Burak Kocuk , Santanu S. Dey , X. Andy Sun

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…

适应与自组织系统 · 物理学 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

The nonlinear, non-convex AC Optimal Power Flow (AC-OPF) problem is fundamental for power systems operations. The intrinsic complexity of AC-OPF has fueled a growing interest in the development of optimization proxies for the problem, i.e.,…

最优化与控制 · 数学 2025-05-09 Guancheng Qiu , Mathieu Tanneau , Pascal Van Hentenryck

The pooling problem is an important industrial problem in the class of network flow problems for allocating gas flow in pipeline transportation networks. For P-formulation of the pooling problem with time discretization, we propose second…

最优化与控制 · 数学 2018-04-10 Masaki Kimizuka , Sunyoung Kim , Makoto Yamashita

The uncertainty of multiple power loads and renewable energy generations (PLREG) in power systems increases the complexity of power flow analysis for decision-makers. The chance-constrained method can be applied to model the optimization…

最优化与控制 · 数学 2021-11-12 Ren Hu , Qifeng Li

This paper proposes a novel and simple linear model to capture line losses for use in linearized DC models, such as optimal power flow (DC-OPF) and security-constrained economic dispatch (SCED). The \textit{Line Loss Outer Approximation}…

最优化与控制 · 数学 2021-12-28 Haoruo Zhao , Mathieu Tanneau , Pascal Van Hentenryck