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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

Damped-driven systems are ubiquitous in engineering and science. Despite the diversity of physical processes observed in a broad range of applications, the underlying instabilities observed in practice have a universal characterization…

Adaptation and Self-Organizing Systems · Physics 2022-11-23 J. Nathan Kutz , Aminur Rahman , Megan R. Ebers , James Koch , Jason J. Bramburger

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

Pipeline parallelism is widely used to train large language models (LLMs). However, increasing heterogeneity in model architectures exacerbates pipeline bubbles, thereby reducing training efficiency. Existing approaches overlook the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Jihu Guo , Tenghui Ma , Wei Gao , Peng Sun , Jiaxing Li , Xun Chen , Yuyang Jin , Dahua Lin

Many countries are currently challenged with the extensive integration of renewable energy sources, which necessitates vast capacity expansion measures. These measures in turn require comprehensive power flow studies, which are often…

Optimization and Control · Mathematics 2019-09-26 Julia Sistermanns , Matthias Hotz , Dominic Hewes , Rolf Witzmann , Wolfgang Utschick

By framing reinforcement learning as a sequence modeling problem, recent work has enabled the use of generative models, such as diffusion models, for planning. While these models are effective in predicting long-horizon state trajectories…

Relying heavily on the secure supply of natural gas, the modern clean electric power systems are prone to the gas disturbances induced by the inherent rupture and leakage faults. For the first time, this paper studies the cross-system…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Ruizhi Yu , Suhan Zhang , Wei Gu , Shuai Lu

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

Electricity, water, and gas systems are critical infrastructures that are sustaining our daily lives. This paper studies the joint operation of these systems through a proposed optimization model and explores the advantage of considering…

Systems and Control · Computer Science 2018-03-08 Jie Cheng , Qishuai Liu , Qing Hui , Fred Choobineh

This paper investigates flexibility aggregation approaches based on linear models. We begin by examining the theoretical foundations of linear AC power flow, two variants of so-called DC power flow, and the LinDistFlow model, along with…

Systems and Control · Electrical Eng. & Systems 2025-08-07 Yanlin Jiang , Xinliang Dai , Frederik Zahn , Yi Guo , Veit Hagenmeyer

Given the critical role played by natural gas in providing electricity, heat, and other essential services, better models are needed to understand the dynamics of natural gas networks during extreme events. This paper aims at establishing…

Systems and Control · Electrical Eng. & Systems 2021-01-01 Samuel Chevalier , Dan Wu

Computation of gas dispersal in urban places or hilly grounds requires a large amount of computer time when addressed with conventional multidimensional models. Those are usually based on two-phase flow or Navier-Stokes equations. Different…

Analysis of PDEs · Mathematics 2021-01-13 Alexandre Chiapolino , Sébastien Courtiaud , Emmanuel Lapebie , Richard Saurel

Power system optimization models are large mathematical models used by researchers and policymakers that pose tractability issues when representing real-world systems. Several aggregation techniques have been proposed to address these…

Optimization and Control · Mathematics 2023-10-31 David Cardona-Vasquez , Thomas Klatzer , Sonja Wogrin

Seasonal climate variations affect electricity demand, which in turn affects month-to-month electricity planning and operations. Electricity system planning at the monthly timescale can be improved by adapting climate forecasts to estimate…

Systems and Control · Electrical Eng. & Systems 2019-11-12 A. R. de Queiroz , D. Mulcahy , A. Sankarasubramanian , J. P. Deane , G. Mahinthakumar , N. Lu , J. F. DeCarolis

As the share of variable renewable energy in power systems grows, enhancing the operational flexibility of combined cycle gas turbines with carbon capture and storage (CCGT-CCS) becomes increasingly valuable. This study integrates…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Fangwei Cheng , Qian Luo , Jesse Jenkins

In many power system optimization problems, we observe that only a small fraction of the line flow constraints ever become active at the optimal solution, despite variations in the load profile and generation costs. This observation has…

Optimization and Control · Mathematics 2019-04-04 Line Roald , Daniel K. Molzahn

The current energy transition promotes the convergence of operation between the power and natural gas systems. In that direction, it becomes paramount to improve the modeling of non-convex natural gas flow dynamics within the coordinated…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Adriano Arrigo , Mihály Dolányi , Kenneth Bruninx , Jean-François Toubeau

Power System Resource Planning is the recurrent process of studying and determining what facilities and procedures should be provided to satisfy and promote appropriate future demands for electricity. The electric power system as planned…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Sohom Datta

We present a method for joint state and parameter estimation for natural gas networks where gas pressures and flows through a network of pipes depend on time-varying injections, withdrawals, and compression controls. The estimation is posed…

Systems and Control · Electrical Eng. & Systems 2019-12-13 Kaarthik Sundar , Anatoly Zlotnik

Power systems are globally experiencing an unprecedented growth in size and complexity due to the advent of nonconventional generation and consumption technologies. To navigate computational complexity, power system dynamic models are often…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Yue Huang , Dixant B. Sapkota , Manish K. Singh