gas transport optimization

Model and Discretization Error Adaptivity within Stationary Gas Transport Optimization

  • Volker Mehrmann
  • Martin Schmidt
  • Jeroen J. Stolwijk
    • Categories Applications - Science and Engineering, Network Optimization, Systems governed by Differential Equations Optimization Tags , , , ,

    The minimization of operation costs for natural gas transport networks is studied. Based on a recently developed model hierarchy ranging from detailed models of instationary partial differential equations with temperature dependence to highly simplified algebraic equations, modeling and discretization error estimates are presented to control the overall error in an optimization method for stationary and … Read more

    Solving Mixed-Integer Nonlinear Programs using Adaptively Refined Mixed-Integer Linear Programs

  • Robert Burlacu
  • Björn Geißler
  • Lars Schewe
    • Categories (Mixed) Integer Nonlinear Programming Tags , , , ,

    We propose a method for solving mixed-integer nonlinear programs (MINLPs) to global optimality by discretization of occuring nonlinearities. The main idea is based on using piecewise linear functions to construct mixed-integer linear program (MIP) relaxations of the underlying MINLP. In order to find a global optimum of the given MINLP we develope an iterative algorithm … 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