Skip to main content

Parameter Studies for Energy Networks with Examples from Gas Transport

  • Conference paper
  • First Online:
Simulation-Driven Modeling and Optimization

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 153))

Abstract

The focus of this chapter is on methods for the analysis of parameter variations of energy networks and, in particular, long-distance gas transport networks including compressor stations. Gas transport is modeled by unsteady Eulerian flow of compressible, natural gas in pipeline distribution networks together with a gas law and equations describing temperature effects. Such problems can lead to large systems of nonlinear equations with constraints that are computationally expensive to solve by themselves, more so if parameter studies are conducted and the system has to be solved repeatedly. Metamodels will thus play a decisive role in the general workflows and practical examples discussed here.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Baumanns, S., Cassirer, K., Clees, T., Klaassen, B., Nikitin, I., Nikitina, L., Tischendorf, C.: MYNTS User’s Manual, Release 1.3. Fraunhofer SCAI, Sankt Augustin, Germany (2012). www.scai.fraunhofer.de/mynts

  2. Borsotto, D., Clees, T., Nikitin, I., Nikitina, L., Steffes-lai, D., Thole, C.A.: Sensitivity and robustness aspects in focused ultrasonic therapy simulation. In: EngOpt 2012 – 3rd International Conference on Engineering Optimization. Rio de Janeiro, Brazil (2012)

    Google Scholar 

  3. Buhmann, M.: Radial Basis Functions: Theory and Implementations. Cambridge University Press, Cambridge (2003)

    Book  Google Scholar 

  4. Cassirer, K., Clees, T., Klaassen, B., Nikitin, I., Nikitina, L.: MYNTS User’s Manual, Release 2.9. Fraunhofer SCAI, Sankt Augustin (2015). www.scai.fraunhofer.de/mynts

  5. Clees, T.: MYNTS – Ein neuer multiphysikalischer Simulator für Gas, Wasser und elektrische Netze. Energie — Wasser-Praxis 09, 174–175 (2012)

    Google Scholar 

  6. Clees, T., Hornung, N., Nikitin, I., Nikitina, L., Pott, S., Steffes-lai, D.: DesParO User’s Manual, Release 2.2. Fraunhofer SCAI, Sankt Augustin, Germany (2012). www.scai.fraunhofer.de/desparo

  7. Clees, T., Hornung, N., Oyerinde, A., Stern, D.: An adaptive hierarchical metamodeling approach for history matching of reservoir simulation models. In: SPE/SIAM Conference on Mathematical Methods in Fluid Dynamics and Simulation of Giant Oil and Gas Reservoirs (LSRS). Istanbul, Turkey (2012). Invited presentation (T. Clees)

    Google Scholar 

  8. Clees, T., Nikitin, I., Nikitina, L.: Nonlinear metamodeling of bulky data and applications in automotive design. In: Günther, M., et al. (eds.) Progress in industrial mathematics at ECMI 2010. Mathematics in Industry, vol. 17, pp. 295–301. Springer, Berlin (2012)

    Chapter  Google Scholar 

  9. Clees, T., Nikitin, I., Nikitina, L., Kopmann, R.: Reliability analysis of river bed simulation models. In: Herskovits, J. (ed.) CDROM Proceedings of the EngOpt 2012, 3rd International Conference on Engineering Optimization, no. 267. Rio de Janeiro, Brazil (2012)

    Google Scholar 

  10. Clees, T., Nikitin, I., Nikitina, L., Thole, C.A.: Nonlinear metamodeling and robust optimization in automotive design. In: Proceedings of the 1st International Conference on Simulation and Modeling Methodologies, Technologies and Applications SIMULTECH 2011, pp. 483–491. SciTePress, Noordwijkerhout, The Netherlands (2011)

    Google Scholar 

  11. Clees, T., Nikitin, I., Nikitina, L., Thole, C.A.: Analysis of bulky crash simulation results: deterministic and stochastic aspects. In: Pina, N., et al. (eds.) Simulation and Modeling Methodologies, Technologies and Applications, AISC 197. Lecture Notes in Advances in Intelligent and Soft Computing, pp. 225–237. Springer, Berlin, Heidelberg (2012)

    Google Scholar 

  12. Clees, T., Steffes-lai, D., Helbig, M., Sun, D.Z.: Statistical analysis and robust optimization of forming processes and forming-to-crash process chains. Int. J. Mater. Form. 3, 45–48 (2010). Supplement 1; 13th ESAFORM Conference on Material Forming. Brescia, Italy (2010)

    Google Scholar 

  13. Grundel, S., Hornung, N., Klaassen, B., Benner, P., Clees, T.: Computing surrogates for gas network simulation using model order reduction. In: Koziel, S., Leifsson, L. (eds.) Surrogate-Based Modeling and Optimization, pp. 189–212. Springer, New York (2013)

    Chapter  Google Scholar 

  14. Harrell, F.E., Davis, C.E.: A new distribution-free quantile estimator. Biometrika 69, 635–640 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  15. Hornung, N., Nikitina, L., Clees, T.: Multi-objective optimization using surrogate functions. In: Proceedings of the 2nd International Conference on Engineering Optimization (EngOpt). Lisbon, Portugal (2010)

    Google Scholar 

  16. Jones, D., Schonlau, M., Welch, W.: Efficient global optimization of expensive black-box functions. J. Glob. Optim. 13(4), 455–492 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  17. Jones, M.C.: The performance of kernel density functions in kernel distribution function estimation. Stat. Probab. Lett. 9(2), 129–132 (1990)

    Article  MATH  Google Scholar 

  18. Klaassen, B., Clees, T., Tischendorf, C., Soto, M.S., Baumanns, S.: Fully coupled circuit and device simulation with exploitation of algebraic multigrid linear solvers. In: Proceedings of the Equipment Data Acquisition Workshop. Dresden (2011)

    Google Scholar 

  19. Kleijnen, J.: Design and Analysis of Simulation Experiments. Springer, New York (2008)

    MATH  Google Scholar 

  20. Lorenz, J., Bär, E., Clees, T., Evanschitzky, P., Jancke, R., Kampen, C., Paschen, U., Salzig, C., Selberherr, S.: Hierarchical simulation of process variations and their impact on circuits and systems: results. IEEE Trans. Electron Devices 58(8), 2227–2234 (2011)

    Article  Google Scholar 

  21. Lorenz, J., Clees, T., Jancke, R., Paschen, U., Salzig, C., Selberherr, S.: Hierarchical simulation of process variations and their impact on circuits and systems: methodology. IEEE Trans. Electron Devices 58(8), 2218–2226 (2011)

    Article  Google Scholar 

  22. Maass, A., Clees, T., Nikitina, L., Kirschner, K., Reith, D.: Multi-objective optimization on basis of random models for ethylene oxide. Mol. Simul. Special Issue: FOMMS 2009 Conference Proceedings, vol. 36(15), pp. 1208–1218(11) (December 2010)

    Google Scholar 

  23. Maric, I., Ivek, I.: Natural gas properties and flow computation. In: Potocnik, P. (ed.) Natural Gas. InTech (2010). ISBN: 978-953-307-112-1. doi: 10.5772/9871. Available from: http://www.intechopen.com/books/natural-gas/natural-gas-properties-and-flow-computation

    Google Scholar 

  24. Mischner, J., Fasold, H.G., Kadner, K.: gas2energy.net - Systemplanerische Grundlagen der Gasversorgung. Div Deutscher Industrieverlag München (2011). ISBN 978-3835632059

    Google Scholar 

  25. Rhein, B., Clees, T., Ruschitzka, M.: Robustness measures and numerical approximation of the cumulative density function of response surfaces. Commun. Stat. Simul. Comput. 43(1), 1–17 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  26. Rhein, B., Clees, T., Ruschitzka, M.: Uncertainty quantification using nonparametric quantile estimation and metamodeling. In: Eberhardsteiner, J., et.al. (eds.) European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012). Vienna, Austria (2012)

    Google Scholar 

  27. Rhein, B., Ruschitzka, M., Clees, T.: A simulation framework for robust optimization based on metamodels. In: Proceedings of NAFEMS World Congress 2013, International Conference on Simulation Process and Data Management, Salzburg, 9–12 June 2013

    Google Scholar 

  28. Schöps, S., Bartel, A., Günther, M., ter Maten, E.J.W., Müller, P.C. (eds.): Progress in Differential-Algebraic Equations, Differential-Algebraic Equations Forum. Proceedings of Descriptor 2013, pp. 183–205. Springer, Berlin, Heidelberg (2014)

    Google Scholar 

  29. Sfakianakis, M.E., Verginis, D.G.: A new family of nonparametric quantile estimators. Commun. Stat. Simul. Comput. 37, 337–345 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  30. Sobester, A., Leary, S., Keane, A.: On the design of optimization strategies based on global response surface approximation models. J. Glob. Optim. 33(1), 31–59 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  31. Steffes-lai, D., Clees, T.: Statistical analysis of forming processes as a first step in a process-chain analysis: novel PRO-CHAIN components. Key Engineering Materials (KEM) 504–506, 631–636 (2012). Special Issue Proceedings of the 15th ESAFORM Conference on Material Forming. Erlangen, Germany (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tanja Clees .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Clees, T. (2016). Parameter Studies for Energy Networks with Examples from Gas Transport. In: Koziel, S., Leifsson, L., Yang, XS. (eds) Simulation-Driven Modeling and Optimization. Springer Proceedings in Mathematics & Statistics, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-319-27517-8_2

Download citation

Publish with us

Policies and ethics