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Model Order Reduction for Gas and Energy Networks [article]

Christian Himpe, Sara Grundel, Peter Benner
2021 arXiv   pre-print
To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these new circumstances, a vast number of possible scenarios, incorporating uncertain supply and demand, has to be simulated ahead of time. This many-query gas network simulation task can be accelerated by model order reduction, yet, large-scale, nonlinear, parametric, hyperbolic partial differential(-algebraic) equation systems, modeling natural gas
more » ... atural gas transport, are a challenging application for model reduction algorithms. For this industrial application, we bring together the scientific computing topics of: mathematical modeling of gas transport networks, numerical simulation of hyperbolic partial differential equation, and model reduction for nonlinear parametric systems. This research resulted in the "morgen" (Model Order Reduction for Gas and Energy Networks) software platform, which enables modular testing of various combinations of models, solvers, and model reduction methods. In this work we present the theoretical background on systemic modeling and structured, data-driven, system-theoretic model reduction for gas networks, as well as the implementation of "morgen" and associated numerical experiments testing model reduction adapted to gas network models.
arXiv:2011.12099v2 fatcat:zhfnknckxnaubhod3w7ag7jowa

morgen - Model Order Reduction for Gas and Energy Networks [article]

Christian Himpe, Sara Grundel
2021 Zenodo  
morgen - Model Order Reduction for Gas and Energy Networks (Version: 0.99)
doi:10.5281/zenodo.4680265 fatcat:ysvkrqc64rbhzgunnos7v42co4

emgr - EMpirical GRamian Framework (5.9) [article]

Christian Himpe
2021 Zenodo  
emgr - EMpirical GRamian framework for model reduction of (nonlinear) input-output systems. More information at: https://gramian.de
doi:10.5281/zenodo.4454678 fatcat:uqxzhgnaznaufomqlzmy7qxrnu

emgr - EMpirical GRamian Framework (5.9) [article]

Christian Himpe
2021 Zenodo  
emgr - EMpirical GRamian framework for model reduction of (nonlinear) input-output systems. More information at: https://gramian.de
doi:10.5281/zenodo.4454679 fatcat:liekkxp6mvertirpoxgxasdjru

MathEnergy – Mathematical Key Technologies for Evolving Energy Grids [chapter]

Tanja Clees, Anton Baldin, Peter Benner, Sara Grundel, Christian Himpe, Bernhard Klaassen, Ferdinand Küsters, Nicole Marheineke, Lialia Nikitina, Igor Nikitin, Jonas Pade, Nadine Stahl (+3 others)
2021 Mathematics in Industry  
doi:10.1007/978-3-030-62732-4_11 fatcat:blohrbfr7fa3jn3ji4wks722xe

morgen - Model Order Reduction for Gas and Energy Networks [article]

Christian Himpe, Sara Grundel
2020 Zenodo  
morgen - Model Order Reduction for Gas and Energy Networks (Version: 0.9)
doi:10.5281/zenodo.4288509 fatcat:tvsv32f55nhyji4qcoxkfnkova

morgen - Model Order Reduction for Gas and Energy Networks [article]

Christian Himpe, Sara Grundel
2020 Zenodo  
morgen - Model Order Reduction for Gas and Energy Networks (Version: 0.9)
doi:10.5281/zenodo.4288510 fatcat:a3micwplavb2lnm5ul7rbwusbu

Sustainable Research Software Hand-Over [article]

Jörg Fehr, Christian Himpe, Stephan Rave, Jens Saak
2020 arXiv   pre-print
Scientific software projects evolve rapidly in their initial development phase, yet at the end of a funding period, the completion of a research project, thesis, or publication, further engagement in the project may slow down or cease completely. To retain the invested effort for the sciences, this software needs to be preserved or handed over to a succeeding developer or team, such as the next generation of (PhD) students. Comparable guides provide top-down recommendations for project leads.
more » ... or project leads. This paper intends to be a bottom-up approach for sustainable hand-over processes from a developer's perspective. An important characteristic in this regard is the project's size, by which this guideline is structured. Furthermore, checklists are provided, which can serve as a practical guide for implementing the proposed measures.
arXiv:1909.09469v2 fatcat:4z2birrn7rebdkw7mp754izqui

ℋ_2-Optimal Model Reduction Using Projected Nonlinear Least Squares [article]

Jeffrey M. Hokanson, Caleb C. Magruder
2020 arXiv   pre-print
The authors would like to thank Christopher Beattie, Zlatko Drmač, Mark Embree, Serkan Gugercin, Christian Himpe, Petar Mlinarić, Neeraj Sarna, and the anonymous reviewers for their feedback during the  ... 
arXiv:1811.11962v4 fatcat:pmc5tltgonaelhqdl7mcnymubm

emgr - EMpirical GRamian Framework (5.8) [article]

Christian Himpe
2020 Zenodo  
emgr - EMpirical GRamian framework for model reduction of (nonlinear) input-output systems. More information at: https://gramian.de
doi:10.5281/zenodo.3779888 fatcat:5i5e7ts75bb2jet5ytdb7nuzga

emgr - EMpirical GRamian Framework (5.8) [article]

Christian Himpe
2020 Zenodo  
emgr - EMpirical GRamian framework for model reduction of (nonlinear) input-output systems. More information at: https://gramian.de
doi:10.5281/zenodo.3779889 fatcat:iwm2kc7r75h6fgb7r432dv36a4

A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction [article]

Stephan Rave, Jens Saak
2020 arXiv   pre-print
Acknowledgements The authors would like to thank Christian Himpe, Petar Mlinarić and Steffen W. R. Werner for helpful comments and discussions during the creation of the model.  ... 
arXiv:2003.00846v2 fatcat:3yhwzamv6zdkpoazlys7ufbtxm

A zero to four parameter instationary thermal-block-type benchmark model for parametric model order reduction [dataset]

Jens Saak, Stephan Rave, Petar Mlinarić, Steffen W. R. Werner, Christian Himpe
2020 Zenodo  
We specify a new benchmark for parametric model order reduction that is scalable both in degrees of freedom as well as parameter dimension.
doi:10.5281/zenodo.3691894 fatcat:ydjlmsdf4bgj3orxl6q5vqm5ya

A zero to four parameter instationary thermal-block-type benchmark model for parametric model order reduction [dataset]

Jens Saak, Stephan Rave, Petar Mlinarić, Steffen W. R. Werner, Christian Himpe
2020 Zenodo  
We specify a new benchmark for parametric model order reduction that is scalable both in degrees of freedom as well as parameter dimension.
doi:10.5281/zenodo.3691893 fatcat:ysmoxuksorcybfg2cm3opffimy

Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms [article]

Christian Himpe
2020 arXiv   pre-print
http://runmycode.org/companion/view/3760 and is authored by: Christian Himpe.  ... 
arXiv:2002.12226v1 fatcat:dltg77y4era7xkmoptgn6byzfa
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