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Cluster :  Optimization in Energy Systems

Session Information  : Friday Jul 17, 10:20 - 11:50

Title:  MINLPs in Gas Network Optimization
Chair: Alexander Martin,FAU Erlangen-Nürnberg, Department Mathematik, Cauerstr 11, Erlangen, Germany, alexander.martin@math.uni-erlangen.de

Abstract Details

Title: Legal Physics: Modelling Contracts on Gas Networks -- the KWP Tool
 Presenting Author: Thorsten Koch,Prof. Dr., ZIB / TU Berlin, Takustr. 7, Berlin 14195, Germany, koch@zib.de
 
Abstract: Germany decided to end nuclear power and conduct an energy turnaround. While renewables shell account for the majority of the electricity, the plan calls for gas power station to absorb peak loads. Due to the unbundling of gas transport and gas trading by the EU, the transport system operators are now required to reliably provide large amounts of gas to the newly build power stations on very short notice. Extending the network costs about 1 Mio € per km. The new KWP contract allows coping with this situation much more efficiently on a pure legal basis. But it also means you need a robust solution to a large-scale stochastic mixed-integer non-linear optimization problem every day. We will try to describe the problem and possible solutions.
  
Title: Technical Capacities of Gas Networks and Their Impact on Market Design
 Presenting Author: Lars Schewe,Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Cauerstraße 11, 91058 Erlangen, Germany, Lars.Schewe@math.uni-erlangen.de
 
Abstract: Under the current European entry-exit system for trading of gas network capacities, so-called technical capacities (i.e. the capacities that can be transported by the network) are at the heart of the capacity market. We show that the computation of technical capacities in a gas network under current regulations can be posed as a multi-stage mixed-integer nonlinear optimization problem. We discuss the hardness of the problem and propose an approximation approach. Furthermore, the impact of these results on the current design of the capacity market.
  
Title: Solving Power-Constrained Gas Transport Problems using an MIP-based Alternating Direction Method
 Presenting Author: Martin Schmidt,Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstraße 11, Erlangen 91058, Germany, mar.schmidt@fau.de
 Co-Author: Björn Geißler,Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Cauerstraße 11, Erlangen 91058, Germany, bjoern.geissler@math.uni-erlangen.de
 Antonio Morsi,Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU, Cauerstraße 11, Erlangen 91058, Germany, antonio.morsi@math.uni-erlangen.de
 Lars Schewe,Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Cauerstraße 11, 91058 Erlangen, Germany, Lars.Schewe@math.uni-erlangen.de
 
Abstract: We present an algorithm for problems from gas transport. Due to nonconvex physics as well as discrete controllability of active devices, these problems lead to hard nonconvex MINLPs. Our method is based on MIP techniques using piecewise linear relaxations of the nonlinearities and a tailored alternating direction method. In addition to most other publications in the field of gas transport optimization, we do not only consider pressure and flow as main physical quantities but further incorporate heat power supplies and demands as well as a mixing model for different gas qualities. We demonstrate the capabilities of our method by numerical results on the largest instances that were ever reported in the literature for this problem class.