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Tensor analysis has been a widely studied in physics applications including circuit theory and electric machines. This paper reviews some of the main features of this type of representation for unbalanced power distribution systems and…

最优化与控制 · 数学 2018-05-14 Alejandro Garces

The large size of multiscale, distribution and transmission, power grids hinder fast system-wide estimation and real-time control and optimization of operations. This paper studies graph reduction methods of power grids that are favorable…

系统与控制 · 计算机科学 2018-10-05 Colin Grudzien , Deepjyoti Deka , Michael Chertkov , Scott N Backhaus

This paper presents a cold-start linear branch flow model named modified DistFlow. In modified DistFlow, the active and reactive power are replaced by their ratios to voltage magnitude as state variables, so that errors introduced by…

系统与控制 · 电气工程与系统科学 2020-11-30 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

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

We consider belief propagation (BP) as an efficient and scalable tool for state estimation and optimization problems in supply networks such as power grids. BP algorithms make use of factor graph representations, whose assignment to the…

人工智能 · 计算机科学 2022-06-09 Tim Ritmeester , Hildegard Meyer-Ortmanns

Distribution feeder and load model reduction methods are essential for maintaining a good tradeoff between accurate representation of grid behavior and reduced computational complexity in power system studies. An effective algorithm to…

系统与控制 · 电气工程与系统科学 2025-05-13 Sameer Nekkalapu , Sushrut Thakar , Antos Cheeramban Varghese , Vijay Vittal , Bo Gong , Ken Brown

We propose a new method to efficiently compute load-flows (the steady-state of the power-grid for given productions, consumptions and grid topology), substituting conventional simulators based on differential equation solvers. We use a deep…

机器学习 · 统计学 2018-01-31 Benjamin Donnot , Isabelle Guyon , Marc Schoenauer , Antoine Marot , Patrick Panciatici

This paper proposes a new linear power flow model for distribution system with accurate voltage magnitude estimates. The new model can be seen as a generalization of LinDistFlow model to multiphase distribution system with generic network…

系统与控制 · 电气工程与系统科学 2021-04-07 Jianqiao Huang , Bai Cui , Xinyang Zhou , Andrey Bernstein

This paper formalizes an optimal water-power flow (OWPF) problem to optimize the use of controllable assets across power and water systems while accounting for the couplings between the two infrastructures. Tanks and pumps are optimally…

This report serves as a technology description of a Julia-based re-implementation of the fixed-point current injection algorithm, available in PowerModelsDistribution.jl [1]. This report does not describe a novel method for solving…

最优化与控制 · 数学 2023-05-09 Frederik Geth , Sander Claeys , Rahmat Heidari

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

The goal of the load flow study is to ensure that electrical power is delivered efficiently and reliably to end-users while maintaining the stability and security of the power system. Newton-Raphson is a numerical method used widely for…

系统与控制 · 电气工程与系统科学 2024-06-28 David Neufeld , Sajad Fathi Hafshejani , Daya Gaur , Robert Benkoczi

This paper aims to implement and evaluate the performance of quantum computing on solving combinatorial optimization problems arising from the operations of the power grid. To this end, we construct a novel mixed integer conic programming…

系统与控制 · 电气工程与系统科学 2022-08-17 Phuong Ngo , Christan Thomas , Hieu Nguyen , Abdullah Eroglu , Konstantinos Oikonomou

A simple numerical method for loading of a relativistic Maxwellian-type distribution is proposed based on inverse transform sampling. The relativistic Maxwellian energy distribution is introduced as an alternative to the Maxwell-J\"{u}ttner…

等离子体物理 · 物理学 2026-03-05 Takayuki Umeda

Power flow refers to the injection of power on the lines of an electrical grid, so that all the injections at the nodes form a consistent flow within the network. Optimality, in this setting, is usually intended as the minimization of the…

最优化与控制 · 数学 2020-09-25 Daniel Bienstock , Mauro Escobar , Claudio Gentile , Leo Liberti

The solution of potential-driven steady-state flow in large networks is required in various engineering applications, such as transport of natural gas or water through pipeline networks. The resultant system of nonlinear equations depends…

计算物理 · 物理学 2026-03-20 Shriram Srinivasan , Kaarthik Sundar

In this paper, a gradient flow model is proposed for conducting ground state calculations in Wigner formalism of many-body system in the framework of density functional theory. More specifically, an energy functional for the ground state in…

计算物理 · 物理学 2024-10-02 Guanghui Hu , Ruo Li , Hongfei Zhan

Power flow analysis is a fundamental tool for power system analysis, planning, and operational control. Traditional Newton-Raphson methods suffer from limitations such as initial value sensitivity and low efficiency in batch computation,…

系统与控制 · 电气工程与系统科学 2025-12-02 Xuezhi Liu

The growing share of renewable energy makes the optimization of power flows in power system models computationally more complicated, due to the widely distributed weather-dependent electricity generation. This article evaluates two methods…

系统与控制 · 电气工程与系统科学 2020-02-26 Oriol Raventós , Julian Bartels

Developing engineering systems that rely on flow-induced reconfiguration, the phenomenon where a structure deforms under flow to reduce its drag, requires design tools that can predict the behavior of these flexible structures. Current…

材料科学 · 物理学 2024-06-11 Danick Lamoureux , Sophie Ramananarivo , David Melancon , Frédérick P. Gosselin