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AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

最优化与控制 · 数学 2024-09-26 Haixiao Li , Aleksandra Lekić

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

In order to coordinate the economy and voltage quality of a meshed AC/VSC-MTDC system, a new corrective security-constrained multi-objective optimal power flow (SC-MOPF) method is presented in this paper. A parallel SC-MOPF model with N-1…

信号处理 · 电气工程与系统科学 2020-01-22 Yahui Li , Yang Li

Optimal power flow (OPF) is a central problem in the operation of electric power systems. An OPF problem optimizes a specified objective function subject to constraints imposed by both the non-linear power flow equations and engineering…

最优化与控制 · 数学 2018-04-13 Mohammad Rasoul Narimani , Daniel K. Molzahn Dan Wu , Mariesa L. Crow

Consider a polynomial optimisation problem, whose instances vary continuously over time. We propose to use a coordinate-descent algorithm for solving such time-varying optimisation problems. In particular, we focus on relaxations of…

最优化与控制 · 数学 2019-09-24 Jie Liu , Jakub Marecek , Andrea Simonetto , Martin Takac

We demonstrate that valid inequalities, or lifted nonlinear cuts (LNC), can be projected to tighten the Second Order Cone (SOC), Convex DistFlow (CDF), and Network Flow (NF) relaxations of the AC Optimal Power Flow (AC-OPF) problem. We…

最优化与控制 · 数学 2024-09-27 Sergio I. Bugosen , Robert B. Parker , Carleton Coffrin

Efficiently solving large-scale optimal power flow (OPF) problems is challenging due to the high dimensionality and interconnectivity of modern power systems. Decomposition methods offer a promising solution via partitioning large problems…

最优化与控制 · 数学 2025-12-30 Mohannad Alkhraijah , Devon Sigler , Daniel K. Molzahn

Renewable energy resources and power electronics-interfaced loads introduce fast dynamics in distribution networks. These dynamics cannot be regulated by slow conventional solutions and require fast controllable energy resources such as…

最优化与控制 · 数学 2022-10-11 H. Sekhavatmaneshand , S. Mastellone

The DC optimal power flow (DCOPF) problem is a fundamental problem in power systems operations and planning. With high penetration of uncertain renewable resources in power systems, DCOPF needs to be solved repeatedly for a large amount of…

系统与控制 · 电气工程与系统科学 2020-09-22 Ling Zhang , Yize Chen , Baosen Zhang

We present an algorithm that efficiently computes nearly-optimal solutions to a class of combinatorial reconfiguration problems on weighted, undirected graphs. Inspired by societally relevant applications in networked infrastructure…

最优化与控制 · 数学 2025-10-29 Samuel Talkington , Dmitrii M. Ostrovskii , Daniel K. Molzahn

In this paper, we develop a fast mixed-integer convex programming (MICP) framework for multi-robot navigation by combining graph attention networks and distributed optimization. We formulate a mixed-integer optimization problem for receding…

系统与控制 · 电气工程与系统科学 2025-03-28 Viet-Anh Le , Panagiotis Kounatidis , Andreas A. Malikopoulos

It is well-known that by adding integrality constraints to the semidefinite programming (SDP) relaxation of the max-cut problem, the resulting integer semidefinite program is an exact formulation of the problem. In this paper we show…

最优化与控制 · 数学 2023-11-09 Frank de Meijer , Renata Sotirov

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

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 consider the problem of distributed optimal power flow (OPF) for multi-area electric power systems. A novel distributed algorithm is proposed, referred to as the rotated coordinate descent critical region exploration (RCDCRE). It allows…

最优化与控制 · 数学 2022-06-20 Haitian Liu , Ye Guo , Hongbin Sun , Weisi Deng

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

The problem of computing an exact experimental design that is optimal for the least-squares estimation of the parameters of a regression model is considered. We show that this problem can be solved via mixed-integer linear programming…

统计计算 · 统计学 2024-06-18 Radoslav Harman , Samuel Rosa

We study tightness properties of a Lagrangian dual (LD) bound for the nonconvex alternating current optimal power flow (ACOPF) problem. We show an LD bound that can be computed in a parallel, decentralized manner. Specifically, the proposed…

最优化与控制 · 数学 2021-11-10 Weiqi Zhang , Kibaek Kim , Victor M. Zavala

To solve unmodeled optimization problems with hard constraints, this paper proposes a novel zeroth-order approach called Safe Zeroth-order Optimization using Linear Programs (SZO-LP). The SZO-LP method solves a linear program in each…

最优化与控制 · 数学 2023-04-05 Baiwei Guo , Yang Wang , Yuning Jiang , Maryam Kamgarpour , Giancarlo Ferrari-Trecate

Determining the maximum demand a water distribution network can satisfy is crucial for ensuring reliable supply and planning network expansion. This problem, typically formulated as a mixed-integer nonlinear program (MINLP), is…

最优化与控制 · 数学 2026-01-13 Sai Krishna Kanth Hari , Russell Bent