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Despite technological advancements, the significance of interdisciplinary subjects like complex networks has grown. Exploring communication within these networks is crucial, with traffic becoming a key concern due to the expanding…

Networking and Internet Architecture · Computer Science 2024-01-02 Seyed Hassan Yajadda , Farshad Safaei

The method of flow tracing follows the power flow from net-generating sources through the network to the net-consuming sinks, which allows to assign the usage of the underlying transmission infrastructure to the system participants. This…

Physics and Society · Physics 2017-11-09 Jonas Hörsch , Mirko Schäfer , Sarah Becker , Stefan Schramm , Martin Greiner

The power flow equations model the steady-state relationship between the power injections and voltage phasors in an electric power system. By separating the real and imaginary components of the voltage phasors, the power flow equations can…

Optimization and Control · Mathematics 2016-03-21 Daniel K. Molzahn , Matthew Niemerg , Dhagash Mehta , Jonathan D. Hauenstein

In recent years, several applications have been proposed in the context of distribution networks. Many of these can be formulated as an optimal power flow problem, a mathematical optimization program which includes a model of the…

Optimization and Control · Mathematics 2023-08-23 Sander Claeys , Frederik Geth , Geert Deconinck

Volt-var control (VVC) is the problem of operating power distribution systems within healthy regimes by controlling actuators in power systems. Existing works have mostly adopted the conventional routine of representing the power systems (a…

Machine Learning · Computer Science 2022-06-22 Xian Yeow Lee , Soumik Sarkar , Yubo Wang

We develop efficient algorithms for a fundamental network design problem arising in potential-based flow models, which are central to many energy transport networks (e.g., hydrogen and electricity). In contrast to classical network flow…

Discrete Mathematics · Computer Science 2026-04-30 Max Klimm , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

The operation of electricity grids has become increasingly complex due to the current upheaval and the increase in renewable energy production. As a consequence, active grid management is reaching its limits with conventional approaches. In…

Machine Learning · Computer Science 2024-09-18 Malte Lehna , Jan Viebahn , Christoph Scholz , Antoine Marot , Sven Tomforde

Power flow (PF) calculations are the backbone of real-time grid operations, across workflows such as contingency analysis (where repeated PF evaluations assess grid security under outages) and topology optimization (which involves PF-based…

Machine Learning · Computer Science 2026-04-21 Ana K. Rivera , Anvita Bhagavathula , Alvaro Carbonero , Priya Donti

This paper presents the background material required for the Learning to Run Power Networks Challenge. The challenge is focused on using Reinforcement Learning to train an agent to manage the real-time operations of a power grid, balancing…

Signal Processing · Electrical Eng. & Systems 2020-03-17 Adrian Kelly , Aidan O'Sullivan , Patrick de Mars , Antoine Marot

The increase of renewable energy generation towards the zero-emission target is making the problem of controlling power grids more and more challenging. The recent series of competitions Learning To Run a Power Network (L2RPN) have…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Gianvito Losapio , Davide Beretta , Marco Mussi , Alberto Maria Metelli , Marcello Restelli

This paper develops a computationally efficient algorithm which speeds up the probabilistic power flow (PPF) problem by exploiting the inherently low-rank nature of the voltage profile in electrical power distribution networks. The…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Samuel Chevalier , Luca Schenato , Luca Daniel

The linearization of a power flow (PF) model is an important approach for simplifying and accelerating the calculation of a power system's control, operation, and optimization. Traditional model-based methods derive linearized PF models by…

Systems and Control · Computer Science 2017-10-31 Yuxiao Liu , Ning Zhang , Yi Wang , Jingwei Yang , Chongqing Kang

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

Numerical Analysis · Mathematics 2025-01-23 Shriram Srinivasan , Kaarthik Sundar

Accurate and efficient power flow (PF) analysis is crucial in modern electrical networks' operation and planning. Therefore, there is a need for scalable algorithms that can provide accurate and fast solutions for both small and large scale…

Machine Learning · Computer Science 2024-02-14 Nan Lin , Stavros Orfanoudakis , Nathan Ordonez Cardenas , Juan S. Giraldo , Pedro P. Vergara

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…

Adaptation and Self-Organizing Systems · Physics 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

This paper introduces a new model for highly accurate distribution voltage solutions, coined as a parameterized linear power flow model. The proffered model is grounded on a physical model of linear power flow equations, and uses…

Systems and Control · Electrical Eng. & Systems 2022-11-03 Marija Marković , Bri-Mathias Hodge

With large-scale integration of renewable generation and distributed energy resources, modern power systems are confronted with new operational challenges, such as growing complexity, increasing uncertainty, and aggravating volatility.…

Machine Learning · Computer Science 2022-02-28 Xin Chen , Guannan Qu , Yujie Tang , Steven Low , Na Li

This paper presents a quadratic approximation for the optimal power flow in power distributions systems. The proposed approach is based on a linearized load flow which is valid for power distribution systems including three-phase unbalanced…

Optimization and Control · Mathematics 2016-10-05 Alejandro Garces

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes