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We explore optimization methods for planning the placement, sizing and operations of Flexible Alternating Current Transmission System (FACTS) devices installed into the grid to relieve congestion created by load growth or fluctuations of…

最优化与控制 · 数学 2013-07-09 Vladimir Frolov , Scott Backhaus , Misha Chertkov

Modern society critically depends on the services electric power provides. Power systems rely on a network of power lines and transformers to deliver power from sources of power (generators) to the consumers (loads). However, when power…

系统与控制 · 计算机科学 2015-07-21 Karsten Lehmann , Russell Bent , Feng Pan

The electric power grid has evolved significantly over the past two decades in response to climate change. Increased levels of renewable energy generation, as a prominent feature of this evolution, have led to new congestion patterns in the…

系统与控制 · 电气工程与系统科学 2023-10-12 Omid Mirzapour , Mostafa Sahraei-Ardakani

Series FACTS devices are capable of relieving congestion and reducing generation costs in the power system. This paper proposes a planning model to optimally allocate TCSCs in the transmission network considering the base case and $N-1$…

最优化与控制 · 数学 2017-03-31 Xiaohu Zhang , Kevin Tomsovic , Aleksandar Dimitrovski

This research proposes an incremental welfare consensus method based on flexible alternating current transmission systems (FACTS) and demand response (DR) programs to control transmission network congestion in order to increase the…

最优化与控制 · 数学 2022-10-11 Farhad Samadi Gazijahani , Rasoul Esmaeilzadeh

In the course of the energy transition, the expansion of generation and consumption will change, and many of these technologies, such as PV systems, electric cars and heat pumps, will influence the power flow, especially in the distribution…

With the increasing penetration of Inverter-Based Resources (IBRs), power system stability constraints must be incorporated into the operational framework, transforming it into stability-constrained optimization. Currently, there exist…

系统与控制 · 电气工程与系统科学 2024-11-19 Wangkun Xu , Zhongda Chu , Florin Capitanescu , Fei Teng

Decentralized electricity markets and more integration of renewables demand expansion of the existing transmission infrastructure to accommodate inflected variabilities in power flows. However, such expansion is severely limited in many…

最优化与控制 · 数学 2019-05-28 Vladimir Frolov , Priyanko Guha Thakurta , Scott Backhaus , Janusz Bialek , Michael Chertkov

In this paper, we consider the optimal power flow (OPF) problem which consists in determining the power production at each bus of an electric network by minimizing the production cost. Our contribution is an exact solution algorithm for the…

最优化与控制 · 数学 2021-05-04 Amélie Lambert

We develop new optimization methodology for planning installation of Flexible Alternating Current Transmission System (FACTS) devices of the parallel and shunt types into large power transmission systems, which allows to delay or avoid…

计算工程、金融与科学 · 计算机科学 2017-07-13 Vladimir Frolov , Michael Chertkov

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

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

AC optimal power flow (AC OPF) is a fundamental problem in power system operation and control. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem that results in significant…

最优化与控制 · 数学 2023-07-06 Nafis Sadik , Mohammad Rasoul Narimani

This paper proposes a novel congestion mitigation strategy for low voltage residential feeders in which the rising power demand due to the electrification of the transport and heating systems leads to congestion problems. The strategy is…

系统与控制 · 电气工程与系统科学 2022-04-21 Marta Vanin , Tom Van Acker , Hakan Ergun , Reinhilde D'hulst , Koen Vanthournout , Dirk Van Hertem

There has been a significant growth of variable renewable generation in the power grid today. However, the industry still uses deterministic optimization to model and solve the optimal power flow (OPF) problem for real-time generation…

最优化与控制 · 数学 2019-12-02 Xingpeng Li , Qianxue Xia

The optimal power flow (OPF) problem minimizes power system operating cost subject to both engineering and network constraints. With the potential to find global solutions, significant research interest has focused on convex relaxations of…

最优化与控制 · 数学 2014-02-03 Daniel K. Molzahn , Ian A. Hiskens

Convex relaxations of the AC Optimal Power Flow (OPF) problem are essential not only for identifying the globally optimal solution but also for enabling the use of OPF formulations in Bilevel Programming and Mathematical Programs with…

最优化与控制 · 数学 2020-06-23 Lucien Bobo , Andreas Venzke , Spyros Chatzivasileiadis

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

The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have been of recent interest, including work using the Lasserre…

最优化与控制 · 数学 2016-11-17 Daniel K. Molzahn , Cédric Josz , Ian A. Hiskens , Patrick Panciatici

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
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