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We present control-oriented models for transient dynamics of isothermal one-dimensional gas flow through multiple pipes in series and intersecting pipe geometries. These composite models subsume algebraic constraints that would otherwise…

Optimization and Control · Mathematics 2022-05-24 Sven Brüggemann , Robert R. Bitmead

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

We consider slowly evolving, i.e. ADIABATIC, operational regime within a transmission level (continental scale) natural gas pipeline system. This allows us to introduce a set of nodal equations of reduced complexity describing gas…

Systems and Control · Computer Science 2017-08-04 Michael Chertkov , Alexander Korotkevich

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

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

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

Separated flow transition is a very popular phenomenon in gas turbines, especially low-pressure turbines (LPT). Low-fidelity simulations are often used for gas turbine design. However, they are unable to predict separated flow transition…

Fluid Dynamics · Physics 2024-09-13 Harshal D. Akolekar

Pipelines tubes are part of vital mechanical systems largely used in petrochemical industries. They serve to transport natural gases or liquids. They are cylindrical tubes and are submitted to the risks of corrosion due to high PH…

General Physics · Physics 2012-12-31 Abdo Abou Jaoude , Seifedine Kadry , Khaled El-Tawil , Hassan Noura , Mustapha Ouladsine

As a common practice, the direction of natural gas flow in every pipeline is determined ex-ante for simplification purposes, and treated as a given parameter within the scheduling problem. However, in integrated gas and electric power…

Optimization and Control · Mathematics 2022-04-26 Junesoo Shin , Yannick Werner , Jalal Kazempour

The creation of the systems models is very actual at present time, because it allow to simulate the work of some complex equipment without any additional spends. The given model of gas turbine is allowed to test and optimize the software…

Other Computer Science · Computer Science 2011-12-13 Shuvatov Talgat , Suleimenov Batrbek

An increasing amount of gas-fired power plants are currently being installed in modern power grids worldwide. This is due to their low cost and the inherent flexibility offered to the electrical network, particularly in the face of…

Computational Engineering, Finance, and Science · Computer Science 2018-04-26 Conor O'Malley , Drosos Kourounis , Gabriela Hug , Olaf Schenk

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

In the existing literatures for the risk evaluation of electricity-gas integrated energy system (EGIES), the impacts of gas leakage in pipelines are ignored. This paper presents a method to incorporate the failure modes of gas pipeline…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Yi Tang , Yuan Zhao , Wenyuan Li , Kaigui Xie , Juan Yu

A gas pipeline is a relatively simple physical system, but the optimality of the control is difficult to achieve. When switching from one kind of gas to another , a volume of useless mixture is generated. Therefore, the control needs to…

Multiagent Systems · Computer Science 2019-01-18 Carlos Indriago , Latéfa Ghomri , Olivier Cardin

We introduce a tool for simulation and optimization of gas pipeline networks coupled to power grids by gas-to-power plants. The model under consideration consists of the isentropic Euler equations to describe the gas flow coupled to the AC…

Optimization and Control · Mathematics 2019-03-25 Eike Fokken , Simone Göttlich , Oliver Kolb

Gas Transmission Networks are large-scale complex systems, and corresponding design and control problems are challenging. In this paper, we consider the problem of control and management of these systems in crisis situations. We present…

Artificial Intelligence · Computer Science 2012-10-01 Amir Noori , Mohammad Bagher Menhaj , Masoud Shafiee

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

In this paper, we propose a mathematical formulation for the management of an oil production network as a multistage optimization problem. The reservoir is modeled as a controlled dynamical system by using material balance equations. We use…

We study the modeling and simulation of gas pipeline networks, with a focus on fast numerical methods for the simulation of transient dynamics. The obtained mathematical model of the underlying network is represented by a nonlinear…

Numerical Analysis · Mathematics 2023-04-18 Yue Qiu , Sara Grundel , Martin Stoll , Peter Benner

In this article we survey recent progress on mathematical results on gas flow in pipe networks with a special focus on questions of control and stabilization. We briefly present the modeling of gas flow and coupling conditions for flow…

Analysis of PDEs · Mathematics 2020-10-07 Martin Gugat , Michael Herty