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A model hierarchy that is based on the one-dimensional isothermal Euler equations of fluid dynamics is used for the simulation and optimisation of gas flow through a pipeline network. Adaptive refinement strategies have the aim of bringing…

Numerical Analysis · Mathematics 2017-02-01 Pia Domschke , Aseem Dua , Jeroen J. Stolwijk , Jens Lang , Volker Mehrmann

Koopman-based modeling and model predictive control have been a promising alternative for optimal control of nonlinear processes. Good Koopman modeling performance significantly depends on an appropriate nonlinear mapping from the original…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Zhaoyang Li , Minghao Han , Dat-Nguyen Vo , Xunyuan Yin

Gas networks are used to transport natural gas, which is an important resource for both residential and industrial customers throughout the world. The gas network design problem is generally modelled as a nonconvex mixed-integer nonlinear…

Optimization and Control · Mathematics 2024-02-01 Yijiang Li , Santanu S. Dey , Nikolaos V. Sahinidis

In many power systems, particularly those isolated from larger intercontinental grids, operational dependence on natural gas becomes pivotal, especially during fluctuations or unavailability of renewables coupled with uncertain consumption…

Optimization and Control · Mathematics 2024-05-10 Criston Hyett , Laurent Pagnier , Jean Alisse , Igal Goldshtein , Lilah Saban , Robert Ferrando , Michael Chertkov

In this paper, a mathematical framework for the coupling of gas networks to electric grids is presented to describe in particular the transition from gas to power. The dynamics of the gas flow are given by the isentropic Euler equations,…

Numerical Analysis · Mathematics 2019-01-01 Eike Fokken , Simone Göttlich , Oliver Kolb

In this paper, we consider a chance-constrained formulation of the optimal power flow problem to handle uncertainties resulting from renewable generation and load variability. We propose a tuning method that iterates between solving an…

Optimization and Control · Mathematics 2020-05-28 Ashley M. Hou , Line A. Roald

We formulate two estimation problems for pipeline systems in which measurements of compressible gas flow through a network of pipes is affected by time-varying injections, withdrawals, and compression. We consider a state estimation problem…

Systems and Control · Computer Science 2018-07-30 Kaarthik Sundar , Anatoly Zlotnik

Machine learning and computational intelligence technologies gain more and more popularity as possible solution for issues related to the power grid. One of these issues, the power flow calculation, is an iterative method to compute the…

Machine Learning · Computer Science 2022-04-21 Stephan Balduin , Eric MSP Veith , Sebastian Lehnhoff

There are proposed models of contracts, technological equipment and gas networks and methods of their optimization. The flow in network undergoes restrictions of contracts and equipment to be operated. The values of sources and sinks are…

Computational Engineering, Finance, and Science · Computer Science 2019-11-12 Leonid A. Ostromuhov

This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

Fluid Dynamics · Physics 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

This paper proposes an input convex neural network (ICNN)-Assisted optimal power flow (OPF) in distribution networks. Instead of relying purely on optimization or machine learning, the ICNN-Assisted OPF is a combination of optimization and…

Systems and Control · Electrical Eng. & Systems 2024-07-31 Rui Cheng , Yuze Yang , Wenxia Liu , Nian Liu , Zhaoyu Wang

Power system voltage regulation is crucial to maintain power quality while integrating intermittent renewable resources in distribution grids. However, the system model on the grid edge is often unknown, making it difficult to model…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Jiaqi Wu , Jingyi Yuan , Yang Weng , Guangwen Wang

The co-optimization of behind-the-meter distributed energy resources is considered for prosumers under the net energy metering tariff. The distributed energy resources considered include renewable generations, flexible demands, and battery…

Systems and Control · Electrical Eng. & Systems 2024-07-11 Ahmed S. Alahmed , Lang Tong , Qing Zhao

This paper proposes a tractable framework to determine key characteristics of non-linear dynamic systems by converting physics-informed neural networks to a mixed integer linear program. Our focus is on power system applications.…

Systems and Control · Electrical Eng. & Systems 2021-04-01 Georgios S. Misyris , Jochen Stiasny , Spyros Chatzivasileiadis

We consider a network equilibrium model (i.e. a combined model), which was proposed as an alternative to the classic four-step approach for travel forecasting in transportation networks. This model can be formulated as a convex minimization…

Recent increases in gas-fired power generation have engendered increased interdependencies between natural gas and power transmission systems. These interdependencies have amplified existing vulnerabilities to gas and power grids, where…

Optimization and Control · Mathematics 2021-08-30 Byron Tasseff , Carleton Coffrin , Russell Bent

We design nonlinear and adaptive linear model-predictive control (MPC) techniques to minimize operational costs of compressor-actuated dynamics in natural gas pipeline networks. We establish stability of the local linear system and derive…

Optimization and Control · Mathematics 2025-07-24 Luke S. Baker , Sachin Shivakumar , Dieter Armbruster , Rodrigo B. Platte , Anatoly Zlotnik

Graph Neural Networks (GNNs) are key tools for graph representation learning, demonstrating strong results across diverse prediction tasks. In this paper, we present Convexified Message-Passing Graph Neural Networks (CGNNs), a novel and…

Machine Learning · Computer Science 2026-01-27 Saar Cohen , Noa Agmon , Uri Shaham

We develop an operator splitting method to simulate flows of isothermal compressible natural gas over transmission pipelines. The method solves a system of nonlinear hyperbolic partial differential equations (PDEs) of hydrodynamic type for…

Computational Physics · Physics 2022-06-03 Sergey A. Dyachenko , Anatoly Zlotnik , Alexander O. Korotkevich , Michael Chertkov

Due to their slow gas flow dynamics, natural gas pipelines function as short-term storage, the so-called linepack. By efficiently utilizing linepack, the natural gas system can provide flexibility to the power system through the flexible…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Enrica Raheli , Yannick Werner , Jalal Kazempour