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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

Transmission system operators face a variety of discrete operational decisions, such as switching of branches and/or devices. Incorporating these decisions into optimal power flow (OPF) results in mixed-integer non-linear programming…

最优化与控制 · 数学 2025-10-24 Constance Crozier

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

最优化与控制 · 数学 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

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

We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

最优化与控制 · 数学 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Stepwise controllable devices, such as switched capacitors or stepwise controllable loads and generators, transform the nonconvex AC optimal power flow (AC-OPF) problem into a nonconvex mixed-integer (MI) programming problem which is…

最优化与控制 · 数学 2025-10-13 Johannes Heid , Nils Bornhorst , Eric Tönges , Philipp Härtel , Denis Mende , Martin Braun

Optimal Power Flow (OPF) dispatches controllable generation at minimum cost subject to operational constraints on generation and transmission assets. The uncertainty and variability of intermittent renewable generation is challenging…

最优化与控制 · 数学 2015-11-24 Miles Lubin , Yury Dvorkin , Scott Backhaus

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

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

When uncontrollable resources fluctuate, Optimum Power Flow (OPF), routinely used by the electric power industry to re-dispatch hourly controllable generation (coal, gas and hydro plants) over control areas of transmission networks, can…

最优化与控制 · 数学 2013-02-06 Daniel Bienstock , Michael Chertkov , Sean Harnett

Microgrids consisting of multiple distributed energy resources (DERs) provide a promising solution to integrate renewable energies, e.g., solar photovoltaic (PV) systems. Hybrid AC/DC microgrids leverage the merits of both AC and DC power…

最优化与控制 · 数学 2018-02-14 Zhehan Yi , Abdulrahman J. Babqi , Yishen Wang , Di Shi , Amir H. Etemadi , Zhiwei Wang , Bibin Huang

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

Recently there has been considerable progress on the analysis of stability and performance properties of so-called economic Nonlinear Model Predictive Control (NMPC) schemes; i.e. NMPC schemes employing stage costs that are not directly…

系统与控制 · 计算机科学 2018-12-10 Timm Faulwasser , Alexander Engelmann

This study introduces a mixed-integer linear programming (MILP) model, effectively co-optimizing patrolling, damage assessment, fault isolation, repair, and load re-energization processes. The model is designed to solve a vital operational…

系统与控制 · 电气工程与系统科学 2024-01-12 Ali Jalilian , Babak Taheri , Daniel K. Molzahn

High penetration of distributed energy resources (DERs) is transforming the paradigm in power system operation. The ability to provide electricity to customers while the main grid is disrupted has introduced the concept of microgrids with…

最优化与控制 · 数学 2018-12-27 Amin Gholami , Xu Andy Sun

The implementation of optimal power flow (OPF) methods to perform voltage and power flow regulation in electric networks is generally believed to require extensive communication. We consider distribution systems with multiple controllable…

机器学习 · 计算机科学 2019-08-15 Roel Dobbe , Oscar Sondermeijer , David Fridovich-Keil , Daniel Arnold , Duncan Callaway , Claire Tomlin

We consider the problem of computing equilibria (steady-states) for droop-controlled, islanded, AC microgrids that are both economic-optimal and dynamically stable. This work is motivated by the observation that classical optimal power flow…

最优化与控制 · 数学 2020-02-25 Sungho Shin , Victor M. Zavala

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 distribution optimal power flow (D-OPF) models have gained attention in recent years to optimally operate acentrally-managed distribution grid. On account of nonconvex formulation that is difficult to solve, several relaxation methods…

最优化与控制 · 数学 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

In this paper, we propose a model predictive control based operation strategy that allows for power exchange between interconnected microgrids. Particularly, the approach ensures that each microgrid benefits from power exchange with others.…

系统与控制 · 计算机科学 2023-11-14 A. K. Sampathirao , S. Hofmann , J. Raisch , C. A. Hans