Adjoint calculus for optimization of gas networks | Zendy

Michaël Herty | Zendy; V. Sachers | Zendy

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Adjoint calculus for optimization of gas networks

Author(s) -

Michaël Herty,

V. Sachers

Publication year - 2007

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2007.2.733

Subject(s) - gas compressor , context (archaeology) , mathematical optimization , calculus of variations , coupling (piping) , computer science , compressor station , optimal control , optimization problem , outflow , mathematics , control theory (sociology) , control (management) , physics , mathematical analysis , mechanical engineering , engineering , geology , paleontology , artificial intelligence , meteorology

We consider an optimization problem arising in the context of gas transport in pipe networks. To compensate the pressure loss due to friction and to guarantee a desired (time dependent) outflow profile, compressor stations are included in the network. These compressor stations are relatively cost-intensive, so that a cost effective control is required. In the presented model the compressors are special vertices of the network. We derive an adjoint calculus for gas networks to solve the optimization problem and prove well–posedness of forward and adjoint coupling conditions. Furthermore, numerical examples illustrate the obtained results.

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