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The increasing integration of renewable energy, particularly offshore wind, introduces significant uncertainty into hybrid AC-HVDC systems due to forecast errors and power fluctuations. Conventional control strategies typically rely on…

系统与控制 · 电气工程与系统科学 2025-10-30 Hongjin Du , Rahul Rane , Weijie Xia , Pedro P. Vergara , Aleksandra Lekić

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

机器学习 · 计算机科学 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

最优化与控制 · 数学 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

The design of grid-connected distributed energy systems (DES) has been investigated extensively as an optimisation problem in the past, but most studies do not include nonlinear constraints associated with unbalanced alternating current…

最优化与控制 · 数学 2022-04-28 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

最优化与控制 · 数学 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

This paper proposes a two-level distributed algorithmic framework for solving the AC optimal power flow (OPF) problem with convergence guarantees. The presence of highly nonconvex constraints in OPF poses significant challenges to…

最优化与控制 · 数学 2021-06-14 Kaizhao Sun , Xu Andy Sun

The ever increasing penetration of Renewable Energy Resources (RESs) in power distribution networks has brought, among others, the challenge of maintaining the grid voltages within the secure region. Employing droop voltage regulators on…

最优化与控制 · 数学 2022-03-18 H. Sekhavatmanesh , G. Ferrari-Trecate , S. Mastellone

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

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

最优化与控制 · 数学 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

The optimal power flow (OPF) problem is one of the most fundamental problems in power system operations. The non-linear alternating current (AC) power flow equations that model different physical laws (together with operational constraints)…

最优化与控制 · 数学 2023-12-08 M. H. M. Christianen , S. van Kempen , M. Vlasiou , B. Zwart

This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic constraints in the complex domain. We first analyze the 3CP…

最优化与控制 · 数学 2026-05-25 Raneem Madani , Abdel Lisser , Zeno Toffano

The optimal power-flow problem (OPF) has played a key role in the planning and operation of power systems. Due to the non-linear nature of the AC power-flow equations, the OPF problem is known to be non-convex, therefore hard to solve. Most…

系统与控制 · 计算机科学 2016-07-07 Konstantina Christakou , Dan-Cristian Tomozei , Jean-Yves Le Boudec , Mario Paolone

To figure out the stability issues brought by renewable energy sources (RES) with non-Gaussian uncertainties in isolated microgrids, this paper proposes a chance constrained stability constrained optimal power flow (CC-SC-OPF) model.…

系统与控制 · 电气工程与系统科学 2023-02-07 Jun Wang , Yue Song , David John Hill , Yunhe Hou , Feilong Fan

Real-time optimal power flow (RT-OPF) under wind energy penetration is highly desired but extremely difficult to realize. This is basically due to the conflict between the fast changes in wind power generation and the slow response from the…

最优化与控制 · 数学 2018-07-02 Erfan Mohagheghi , Aouss Gabash , Pu Li

This paper focuses on power distribution networks featuring distributed energy resources (DERs), and develops controllers that drive the DER output powers to solutions of time-varying AC optimal power flow (OPF) problems. The design of the…

最优化与控制 · 数学 2016-12-23 Emiliano Dall'Anese , Andrea Simonetto , Sairaj Dhople

The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or…

最优化与控制 · 数学 2017-11-06 Daniel Bienstock , Apurv Shukla

We consider a minimax problem motivated by distributionally robust optimization (DRO) when the worst-case distribution is continuous, leading to significant computational challenges due to the infinite-dimensional nature of the optimization…

机器学习 · 统计学 2024-12-31 Linglingzhi Zhu , Yao Xie

The AC Optimal power flow (OPF) problem is one of the most fundamental problems in power systems engineering. For the past decades, researchers have been relying on unproven heuristics to tackle OPF. The hardness of OPF stems from two…

数据结构与算法 · 计算机科学 2020-07-16 Majid Khonji , Sid Chi-Kin Chau , Khaled Elbassion

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

Stand-alone direct current (DC) microgrids may belong to different owners and adopt various control strategies. This brings great challenge to its optimal operation due to the difficulty of implementing a unified control. This paper…

系统与控制 · 计算机科学 2017-06-09 Zhaojian Wang , Feng Liu , Ying Chen , Steven Low , Shengwei Mei
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