A Structure-Preserving Model Order Reduction Approach for Space-Discrete Gas Networks with Active Elements
| Autor: | Björn Liljegren-Sailer, Nicole Marheineke |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Model order reduction
Polynomial Discretization Computer science 0211 other engineering and technologies 021107 urban & regional planning 010103 numerical & computational mathematics 02 engineering and technology Topology 01 natural sciences Nonlinear system Algebraic equation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Partial derivative 0101 mathematics Differential algebraic equation Topology (chemistry) |
| Zdroj: | Progress in Industrial Mathematics at ECMI 2016 ISBN: 9783319630816 |
| DOI: | 10.1007/978-3-319-63082-3_69 |
| Popis: | Aiming for an efficient simulation of gas networks with active elements a structure-preserving model order reduction (MOR) approach is presented. Gas networks can be modeled by partial differential algebraic equations. We identify connected pipe subnetworks that we discretize in space and explore with index and decoupling concepts for differential algebraic equations. For the arising input-output system we derive explicit decoupled representations of the strictly proper part and the polynomial part, only depending on the topology. The proper part is characterized by a port-Hamiltonian form that allows for the development of reduced models that preserve passivity, stability and locally mass. The approach is exemplarily used for an open-loop MOR on a network with a nonlinear active element. |
| Databáze: | OpenAIRE |
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