Networks and Heterogeneous Media (NHM)

Modeling, simulation and optimization of gas networks with compressors

Pages: 81 - 97, Volume 2, Issue 1, March 2007      doi:10.3934/nhm.2007.2.81

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Michael Herty - Department of Mathematics, Universität Kaiserslautern, AG Technomathematik, P.O. Box 3049, D-67663 Kaiserslautern, Germany (email)

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.

Keywords:  Gas networks, optimization, Isothermal Euler equations
Mathematics Subject Classification:  Primary: 76N15; Secondary: 35Lxx.

Received: July 2006;      Revised: October 2006;      Available Online: December 2006.