Modeling, simulation and optimization of gas networks with compressors

Michael Herty

doi:10.3934/nhm.2007.2.81

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2007, Volume 2, Issue 1: 81-97. Doi: 10.3934/nhm.2007.2.81

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Modeling, simulation and optimization of gas networks with compressors

Michael Herty^1,

1.
Department of Mathematics, Universität Kaiserslautern, AG Technomathematik, P.O. Box 3049, D-67663 Kaiserslautern

Received: June 30, 2006

Revised: September 30, 2006

Published: February 2007

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Abstract

We consider gas flow in pipeline networks governed by the isothermal Euler equations and introduce a new modeling of compressors in gas networks. Compressor units are modeled as pipe–to–pipe intersections with additional algebraic coupling conditions for the compressor behavior. We prove existence and uniqueness of solutions with respect to these conditions and use the results for numerical simulation and optimization of gas networks.

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Mathematics Subject Classification: Primary: 76N15; Secondary: 35Lxx.

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