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We formulate a nonlinear optimal control problem for intra-day operation of a natural gas pipeline network that includes storage reservoirs. The dynamics of compressible gas flow through pipes, compressors, reservoirs, and wells are…

Optimization and Control · Mathematics 2021-05-06 Sai Krishna Kanth Hari , Kaarthik Sundar , Shriram Srinivasan , Anatoly Zlotnik , Russell Bent

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

Gas transportation and storage has become one of the most relevant and important optimization problems in energy systems. This problem inherently includes highly nonlinear and nonconvex aspects due to gas physics, and discrete aspects due…

Optimization and Control · Mathematics 2025-04-28 Bahar Cennet Okumusoglu , Burak Kocuk

Due to the current and foreseeable shifts in energy production, the trading and transport operations of gas will become more dynamic, volatile, and hence also less predictable. Therefore, computer-aided support in terms of rapid simulation…

Optimization and Control · Mathematics 2021-12-20 Felix Hennings , Milena Petkovic , Tom Streubel

We present a dynamic model for the optimal control problem (OCP) of hydrogen blending into natural gas pipeline networks subject to inequality constraints. The dynamic model is derived using the first principles partial differential…

Optimization and Control · Mathematics 2024-02-27 Saif R. Kazi , Kaarthik Sundar , Anatoly Zlotnik

A data-driven computational heuristic is proposed to control MIMO systems without prior knowledge of their dynamics. The heuristic is illustrated on a two-input two-output balance system. It integrates a self-adjusting nonlinear threshold…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Ning Wang , Mohammed Abouheaf , Wail Gueaieb

Network optimization has generally been focused on solving network flow problems, but recently there have been investigations into optimizing network characteristics. Optimizing network connectivity to maximize the number of nodes within a…

Physics and Society · Physics 2020-08-03 Jeremy Auerbach , Hyun Kim

This paper proposes a simplified version of classical models for urban transportation networks, and studies the problem of controlling intersections with the goal of optimizing network-wide congestion. Differently from traditional…

Optimization and Control · Mathematics 2018-11-08 Gianluca Bianchin , Fabio Pasqualetti

This paper addresses the problem of planning time-optimal trajectories for multiple cooperative agents along specified paths through a static road network. Vehicle interactions at intersections create non-trivial decisions, with complex…

Robotics · Computer Science 2018-10-08 Philip Gun , Andrew Hill , Robin Vujanic

A decision support system relies on frequent re-solving of similar problem instances. While the general structure remains the same in corresponding applications, the input parameters are updated on a regular basis. We propose a generative…

Optimization and Control · Mathematics 2021-02-04 Lovis Anderson , Mark Turner , Thorsten Koch

Non-convex, nonlinear gas network optimization models are used to determine the feasibility of flows on existing networks given constraints on network flows, gas mixing, and pressure loss along pipes. This work improves two existing gas…

Optimization and Control · Mathematics 2025-01-22 Geonhee Kim , Christopher Lourenco , Daphne Skipper , Luze Xu

Network control refers to a very large and diverse set of problems including controllability of linear time-invariant dynamical systems, where the objective is to select an appropriate input to steer the network to a desired state. There…

Data Structures and Algorithms · Computer Science 2016-03-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This paper focuses on optimal control problem for a class of discrete-time nonlinear systems. In practical applications, computation time is a crucial consideration when solving nonlinear optimal control problems, especially under real-time…

Optimization and Control · Mathematics 2025-04-01 Chuanzhi Lv , Xunmin Yin , Hongdan Li , Huanshui Zhang

We develop an explicit second order staggered finite difference discretization scheme for simulating the transport of highly heterogeneous gas mixtures through pipeline networks. This study is motivated by the proposed blending of hydrogen…

Dynamical Systems · Mathematics 2024-04-09 Yan Brodskyi , Vitaliy Gyrya , Anatoly Zlotnik

Simulation and control of the transient flow in natural gas networks involve solving partial differential equations (PDEs). This paper proposes a semi-analytical solutions (SAS) approach for fast and accurate simulation of the natural gas…

Dynamical Systems · Mathematics 2022-10-10 Xin Xu , Rui Yao , Kai Sun , Feng Qiu

Natural gas-fired generation units can hedge against the volatility in the uncertain renewable generation, which may occur during very short periods. It is crucial to utilize models capable of correctly capturing the natural gas network…

Systems and Control · Electrical Eng. & Systems 2022-03-11 Reza Bayani , Saeed D. Manshadi

Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

Optimization and Control · Mathematics 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

The disturbances from variable and uncertain renewable generation propagate from power systems to natural gas networks, causing gas network operators to adjust gas supply nominations to ensure operational security. To alleviate expensive…

Optimization and Control · Mathematics 2022-07-12 Vladimir Dvorkin , Dharik Mallapragada , Audun Botterud , Jalal Kazempour , Pierre Pinson

We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dynamical systems to transport a specified initial measure on…

Dynamical Systems · Mathematics 2017-11-22 Piyush Grover , Karthik Elamvazhuthi

We propose stochastic control policies to cope with uncertain and variable gas extractions in natural gas networks. Given historical gas extraction data, these policies are optimized to produce the real-time control inputs for nodal gas…

Optimization and Control · Mathematics 2021-08-24 Vladimir Dvorkin , Anubhav Ratha , Pierre Pinson , Jalal Kazempour