Bernhard M. Willert

Computational Optimization of Gas Compressor Stations: MINLP Models vs. Continuous Reformulations

  • Daniel Rose
  • Martin Schmidt
  • Marc C. Steinbach
  • Bernhard M. Willert
    • Categories (Mixed) Integer Nonlinear Programming, Applications - Science and Engineering, Nonlinear Optimization Tags , , , ,

    When considering cost-optimal operation of gas transport networks, compressor stations play the most important role. Proper modeling of these stations leads to complicated mixed-integer nonlinear and nonconvex optimization problems. In this article, we give an isothermal and stationary description of compressor stations, state MINLP and GDP models for operating a single station, and discuss several … Read more

    High Detail Stationary Optimization Models for Gas Networks: Validation and Results

  • Martin Schmidt
  • Marc C. Steinbach
  • Bernhard M. Willert
    • Categories Applications - Science and Engineering, Constrained Nonlinear Optimization, Systems governed by Differential Equations Optimization Tags , , ,

    Due to strict regulatory rules in combination with complex nonlinear physics, major gas network operators in Germany and Europe face hard planning problems that call for optimization. In part 1 of this paper we have developed a suitable model hierarchy for that purpose. Here we consider the more practical aspects of modeling. We validate individual … Read more

    Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions

  • Armin Fügenschuh
  • Björn Geißler
  • Thorsten Koch
  • Antonio Morsi
  • Marc E. Pfetsch
  • Jessica Rövekamp
  • Lars Schewe
  • Martin Schmidt
  • Nina Geissler
  • Ralf Gollmer
  • Benjamin Hiller
  • Jesco Humpola
  • Thomas Lehmann
  • Alexander Martin
  • Ruediger Schultz
  • Robert Schwarz
  • Jonas Schweiger
  • Claudia Stangl
  • Marc C. Steinbach
  • Stefan Vigerske
  • Bernhard M. Willert
    • Categories (Mixed) Integer Nonlinear Programming, Applications - Science and Engineering, Systems governed by Differential Equations Optimization Tags , ,

    In this article we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: Given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements … Read more