Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints
- We introduce a stationary model for gas flow based on simplified isothermal Euler equations in a non-cycled pipeline network. Especially the problem of the feasibility of a random load vector is analyzed. Feasibility in this context means the existence of a flow vectormeeting these loads, which satisfies the physical conservation laws with box constraints for the pressure. An important aspect of the model is the support of compressor stations, which counteract the pressure loss caused by friction in the pipes.The network is assumed to have only one influx node; all other nodes are efflux nodes.With these assumptions the set of feasible loads can be characterized analytically. In addition we show the existence of optimal solutions for some optimization problems with probabilistic constraints. A numerical example based on real data completes this paper.
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| Author: | Martin Gugat, Michael Schuster |
|---|---|
| DOI: | https://doi.org/https://doi.org/10.1155/2018/7984079 |
| Parent Title (English): | Mathematical Problems in Engineering |
| Editor: | Gerhard-Wilhelm Weber |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2019/04/25 |
| Date of first Publication: | 2019/04/25 |
| Release Date: | 2019/04/25 |
| Tag: | Validation of nominations, Stationary states, Isothermal Euler equations, Ideal Gas, Gas network, Gas transport, Compressor control, Uncertainty, Chance Constraints, Spheric-radial decomposition |
| Institutes: | Friedrich-Alexander-Universität Erlangen-Nürnberg |
| Subprojects: | C03 |
| Licence (German): |  Creative Commons - CC BY-ND - Namensnennung - Keine Bearbeitungen 4.0 International |
