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Polynomial Chaos Approach to Describe the Propagation of Uncertainties Through Gas Networks

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Progress in Industrial Mathematics at ECMI 2018

Part of the book series: Mathematics in Industry ((TECMI,volume 30))

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Abstract

The ability of gas-fired power plants to ramp quickly is used to balance fluctuations in the power grid caused by renewable energy sources, which in turn leads to time-varying gas consumption and fluctuations in the gas network. Since gas system operators assume nearly constant gas consumption, there is a need to assess the risk of these stochastic fluctuations, which occur on shorter time scales than the planning horizon. We present a mathematical formulation for these stochastic fluctuations as a generalization of isothermal Euler equations. Furthermore, we discuss control policies to damp fluctuations in the network.

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Acknowledgements

This work is supported by DFG HE5386/14,15, BMBF 05M18PAA, DFG-GRK 2326, Student Guest Program of Los Alamos National Laboratory.

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Authors and Affiliations

  1. IGPM, RWTH Aachen University, Aachen, Germany

    Stephan Gerster & Michael Herty

  2. CNLS, Los Alamos National Laboratory, Los Alamos, NM, USA

    Michael Chertkov, Marc Vuffray & Anatoly Zlotnik

Authors
  1. Stephan Gerster
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  2. Michael Herty
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  3. Michael Chertkov
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  4. Marc Vuffray
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  5. Anatoly Zlotnik
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Corresponding author

Correspondence to Stephan Gerster .

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Editors and Affiliations

  1. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary; Department of Differential Equations Mathematical Institute, Budapest University of Technology and Economics, Budapest, Hungary

    István Faragó

  2. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Ferenc Izsák

  3. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Péter L. Simon

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Gerster, S., Herty, M., Chertkov, M., Vuffray, M., Zlotnik, A. (2019). Polynomial Chaos Approach to Describe the Propagation of Uncertainties Through Gas Networks. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_8

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