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The economic dispatch problem is considered for unbalanced three-phase power distribution networks entailing both non-deferrable and elastic loads, and distributed generation (DG) units. The objective is to minimize the costs of power drawn…

最优化与控制 · 数学 2012-11-27 Emiliano Dall'Anese , Georgios B. Giannakis , Bruce F. Wollenberg

Many engineered systems, such as energy and transportation infrastructures, are networks governed by non-linear physical laws. A primary challenge for operators of these networks is to achieve optimal utilization while maintaining safety…

最优化与控制 · 数学 2018-03-08 Tillmann Weisser , Line Roald , Sidhant Misra

We study an extended trust region subproblem minimizing a nonconvex function over the hollow ball $r \le \|x\| \le R$ intersected with a full-dimensional second order cone (SOC) constraint of the form $\|x - c\| \le b^T x - a$. In…

最优化与控制 · 数学 2021-08-02 Anders Eltved , Samuel Burer

We propose a globally convergent Gauss-Newton algorithm for finding a local optimal solution of a non-convex and possibly non-smooth optimization problem. The algorithm that we present is based on a Gauss-Newton-type iteration for the…

最优化与控制 · 数学 2020-12-08 Ilyes Mezghani , Quoc Tran-Dinh , Ion Necoara , Anthony Papavasiliou

We present the results of a comprehensive benchmarking effort aimed at evaluating and comparing state-of-the-art open-source tools for solving the Alternating-Current Optimal Power Flow (ACOPF) problem. Our numerical experiments include all…

最优化与控制 · 数学 2022-03-23 Smitha Gopinath , Hassan L. Hijazi

In this paper, a novel convexification approach for Small-Signal Stability Constraint Optimal Power Flow (SSSC-OPF) has been presented that does not rely on eigenvalue analysis. The proposed methodology is based on the sufficient condition…

最优化与控制 · 数学 2021-09-17 Parikshit Pareek , Hung D. Nguyen

In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the load profile and generation costs. This observation has…

最优化与控制 · 数学 2019-04-04 Line Roald , Daniel K. Molzahn

The Optimal Power Flow (OPF) problem can be reformulated as a nonconvex Quadratically Constrained Quadratic Program (QCQP). There is a growing body of work on the use of semidefinite programming relaxations to solve OPF. The relaxation is…

最优化与控制 · 数学 2014-11-19 Raphael Louca , Peter Seiler , Eilyan Bitar

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

This paper considers state-of-the-art convex relaxations for the AC power flow equations and introduces new valid cuts based on convex envelopes and lifted nonlinear constraints. These valid linear inequalities strengthen existing…

最优化与控制 · 数学 2016-01-06 Carleton Coffrin , Hassan Hijazi , Pascal Van Hentenryck

AC-OPF (Alternative Current Optimal Power Flow)aims at minimizing the operating costs of a power gridunder physical constraints on voltages and power injections.Its mathematical formulation results in a nonconvex polynomial…

最优化与控制 · 数学 2023-05-31 Adrien Le Franc , Victor Magron , Jean-Bernard Lasserre , Manuel Ruiz , Patrick Panciatici

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

系统与控制 · 电气工程与系统科学 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald

The proliferation of distributed energy resources (DERs) im-poses new challenges to distribution system operation, e.g., power quality issues. To overcome these challenges and enhance system operation, it is critical to effectively utilize…

系统与控制 · 电气工程与系统科学 2022-09-14 Mingyue He , Zahra Soltani , Mohammad Ghaljehei , Masoud Esmaili , Shanshan Ma , Mengxi Chen , Mojdeh Khorsand , Raja Ayyanar , Vijay Vittal

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

最优化与控制 · 数学 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

In this paper, we will consider the Look-Ahead Security Constrained Optimal Power Flow (LASCOPF) problem looking forward multiple dispatch intervals, in which the load demand varies over dispatch intervals according to some forecast. We…

系统与控制 · 电气工程与系统科学 2019-09-19 Sambuddha Chakrabarti , Ross Baldick

The use of convex relaxations has lately gained considerable interest in Power Systems. These relaxations play a major role in providing global optimality guarantees for non-convex optimization problems. For the Optimal Power Flow (OPF)…

最优化与控制 · 数学 2015-10-29 Hassan Hijazi , Carleton Coffrin , Pascal Van Hentenryck

Non-convex optimization problems can be approximately solved via relaxation or local algorithms. For many practical problems such as optimal power flow (OPF) problems, both approaches tend to succeed in the sense that relaxation is usually…

最优化与控制 · 数学 2021-02-25 Fengyu Zhou , Steven H. Low

This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms. Part I presents two power flow models, formulates OPF and their relaxations…

最优化与控制 · 数学 2016-11-18 Steven H. Low

Distribution networks are usually multiphase and radial. To facilitate power flow computation and optimization, two semidefinite programming (SDP) relaxations of the optimal power flow problem and a linear approximation of the power flow…

最优化与控制 · 数学 2014-06-13 Lingwen Gan , Steven H. Low

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…

最优化与控制 · 数学 2016-06-22 Emiliano Dall'Anese , Andrea Simonetto
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