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Effective power flow (PF) modeling critically affects the solution accuracy and computational complexity of large-scale grid optimization problems. Especially for grid optimization involving flexible topology to enhance resilience,…

系统与控制 · 电气工程与系统科学 2025-03-27 Young-ho Cho , Hao Zhu

Solving the optimal power flow (OPF) problem is a fundamental task to ensure the system efficiency and reliability in real-time electricity grid operations. We develop a new topology-informed graph neural network (GNN) approach for…

系统与控制 · 电气工程与系统科学 2022-11-03 Shaohui Liu , Chengyang Wu , Hao Zhu

This paper proposes a novel approach using Graph Neural Networks (GNNs) to solve the AC Power Flow problem in power grids. AC OPF is essential for minimizing generation costs while meeting the operational constraints of the grid.…

系统与控制 · 电气工程与系统科学 2025-02-11 Seyedamirhossein Talebi , Kaixiong Zhou

Machine learning assisted optimal power flow (OPF) aims to reduce the computational complexity of these non-linear and non-convex constrained optimization problems by consigning expensive (online) optimization to offline training. The…

机器学习 · 计算机科学 2022-04-28 Thomas Falconer , Letif Mones

In this paper, we propose a graph neural network architecture to solve the AC power flow problem under realistic constraints. To ensure a safe and resilient operation of distribution grids, AC power flow calculations are the means of choice…

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

机器学习 · 计算机科学 2025-04-01 Dhruv Suri , Mohak Mangal

The inherent nonlinearity of the power flow equations poses significant challenges in accurately modeling power systems, particularly when employing linearized approximations. Although power flow linearizations provide computational…

最优化与控制 · 数学 2025-01-28 Paprapee Buason , Sidhant Misra , Daniel K. Molzahn

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

机器学习 · 计算机科学 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

Generative design refers to computational design methods that can automatically conduct design exploration under constraints defined by designers. Among many approaches, topology optimization-based generative designs aim to explore diverse…

计算机视觉与模式识别 · 计算机科学 2022-10-04 Seowoo Jang , Soyoung Yoo , Namwoo Kang

Power flow analysis is used to evaluate the flow of electricity in the power system network. Power flow calculation is used to determine the steady-state variables of the system, such as the voltage magnitude/phase angle of each bus and the…

系统与控制 · 电气工程与系统科学 2022-05-24 Thuan Pham , Xingpeng Li

Power flow analysis plays a crucial role in examining the electricity flow within a power system network. By performing power flow calculations, the system's steady-state variables, including voltage magnitude, phase angle at each bus,…

系统与控制 · 电气工程与系统科学 2023-07-06 Mingjian Tuo , Xingpeng Li , Tianxia Zhao

Accurate and scalable surrogate models for AC power flow are essential for real-time grid monitoring, contingency analysis, and decision support in increasingly dynamic and inverter-dominated power systems. However, most existing surrogates…

系统与控制 · 电气工程与系统科学 2025-07-04 Shrenik Jadhav , Birva Sevak , Srijita Das , Wencong Su , Van-Hai Bui

Despite strong connections through shared application areas, research efforts on power market optimization (e.g., unit commitment) and power network optimization (e.g., optimal power flow) remain largely independent. A notable illustration…

最优化与控制 · 数学 2020-09-02 Carleton Coffrin , Bernard Knueven , Jesse Holzer , Marc Vuffray

Distribution grid is the medium and low voltage part of a large power system. Structurally, the majority of distribution networks operate radially, such that energized lines form a collection of trees, i.e. forest, with a substation being…

系统与控制 · 计算机科学 2018-07-12 Deepjyoti Deka , Michael Chertkov , Scott Backhaus

Solving the AC optimal power flow problem (AC-OPF) is critical to the efficient and safe planning and operation of power grids. Small efficiency improvements in this domain have the potential to lead to billions of dollars of cost savings,…

In this paper, a flexible optimization-based framework for intentional islanding is presented. The decision is made of which transmission lines to switch in order to split the network while minimizing disruption, the amount of load shed, or…

最优化与控制 · 数学 2015-06-03 P. A. Trodden , W. A. Bukhsh , A. Grothey , K. I. M. McKinnon

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy,…

系统与控制 · 电气工程与系统科学 2025-07-22 Thuan Pham , Xingpeng Li

Probabilistic power flow (PPF) analysis is critical to power system operation and planning. PPF aims at obtaining probabilistic descriptions of the state of the system with stochastic power injections (e.g., renewable power generation and…

系统与控制 · 电气工程与系统科学 2023-08-23 Kejun Chen , Yu Zhang

The power flow equations are non-linear multivariate equations that describe the relationship between power injections and bus voltages of electric power networks. Given a network topology, we are interested in finding network parameters…

机器学习 · 计算机科学 2026-03-09 Alperen Ergur , Julia Lindberg , Vinny Miller

We present a massively parallel solver that accelerates DC loadflow computations for power grid topology optimization tasks. Our approach leverages low-rank updates of the Power Transfer Distribution Factors (PTDFs) to represent substation…

系统与控制 · 电气工程与系统科学 2025-01-30 Nico Westerbeck , Joost van Dijk , Jan Viebahn , Christian Merz , Dirk Witthaut
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