Duration: 
October 2014  June 2018 
Project leader: 
V. Mehrmann 
Department of Mathematics, Technical University of Berlin, Strasse des 17. Juni 136, 10623 Berlin, Germany 

Tel: +49 (0)30  314 25 736 (office) /  314 21 264 (secretary)  
email: mehrmann@math.tuberlin.de  
Responsible: 
J.J. Stolwijk 
Department of Mathematics, Technical University of Berlin, Strasse des 17. Juni 136, 10623 Berlin, Germany 

Tel: +49 (0)30  314 23 439 (office) /  314 21 264 (secretary)  
email: stolwijk@math.tuberlin.de  
Associated members: 
A. Międlar, E. Bänsch 
Department of Mathematics, Technical University of Berlin, Strasse des 17. Juni 136, 10623 Berlin, Germany 

Tel: +49 (0)30  314 23 439 (office) /  314 21 264 (secretary)  
email: miedlar@math.tuberlin.de  
Department of Mathematics, FriedrichAlexander University ErlangenNürnberg, Cauerstr. 11, 91058 Erlangen, Germany 

Tel: +49 (0)9131 85  67202 (office) /  67200 (secretary)  
email: baensch@am.unierlangen.de  
Support: 
Deutsche Forschungsgemeinschaft (DFG) 
Project page: 
SFB/TRR 154 
Background
Project B03 "Controlled Coupling of Mixed IntegerContinuous Models with Modeled Uncertainties" is part of the SFB/TRR 154 "Mathematical Modeling, Simulation, and Optimisation using the Example of Gas Networks", supported by the German Research Foundation DFG. This research project succeeds the DFG Research Center Matheon.
Gas will play a crucial role in the following decades as an energy supplier for Germany. Gas is in this period sufficiently and readily available, is traded and is storable. Transregio 154 examines mathematically how the German gas network can be made fit for the (increasing) demand.
The aim of project B03 is the development of a new methodology for the coupling of widely different mathematical models in a network. Moreover, error controllers are developed on the basis of modeled errors and uncertainties using the example of gas networks. These errors and uncertainties in submodels of the complex network are balanced in the overall simulation. Therefore, measures for the errors and uncertainties should be modeled for every submodel and made comparable. This can only succeed on the basis of a detailed model hierarchy, see Figure 1. All the errors and uncertainties in the simulation and optimisation are considered as an error in the finest modeling level using a backward error analysis in the model hierarchy.
The estimated error in the finest level forms the mathematical basis for the development of a robust coupling controller. The controller should allow us to control the overall error in such a way that a prescribed simulation or optimisation goal is achieved within a desired tolerance.
Preprints

J.J. Stolwijk and V. Mehrmann
Error Analysis and Model Adaptivity for Flows in Gas Networks
Preprint 022017, Institute of Mathematics, Technische Universität Berlin, 2017 
V. Mehrmann and J.J. Stolwijk
Error Analysis for the Euler Equations in Purely Algebraic Form
Preprint 062015, Institute of Mathematics, Technische Universität Berlin, 2015
Links
Interview with Prof. Dr. Alexander Martin, spokesman for the research project TRR 154.
back to top