Details
| Original language | English |
|---|---|
| Pages (from-to) | 409-444 |
| Number of pages | 36 |
| Journal | Mathematical Methods of Operations Research |
| Volume | 83 |
| Issue number | 3 |
| Publication status | Published - 1 Jun 2016 |
Abstract
When considering cost-optimal operation of gas transport networks, compressor stations play the most important role. Proper modeling of these stations leads to nonconvex mixed-integer nonlinear optimization problems. In this article, we give an isothermal and stationary description of compressor stations, state MINLP and GDP models for operating a single station, and discuss several continuous reformulations of the problem. The applicability and relevance of different model formulations, especially of those without discrete variables, is demonstrated by a computational study on both academic examples and real-world instances. In addition, we provide preliminary computational results for an entire network.
Keywords
- Continuous reformulations, Discrete-continuous nonlinear optimization, Gas compressor stations, Gas networks, Mixed-integer optimization
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Mathematics(all)
- General Mathematics
- Decision Sciences(all)
- Management Science and Operations Research
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In: Mathematical Methods of Operations Research, Vol. 83, No. 3, 01.06.2016, p. 409-444.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Computational optimization of gas compressor stations
T2 - MINLP models versus continuous reformulations
AU - Rose, Daniel
AU - Schmidt, Martin
AU - Steinbach, Marc C.
AU - Willert, Bernhard M.
N1 - Publisher Copyright: © 2016, The Author(s).
PY - 2016/6/1
Y1 - 2016/6/1
N2 - When considering cost-optimal operation of gas transport networks, compressor stations play the most important role. Proper modeling of these stations leads to nonconvex mixed-integer nonlinear optimization problems. In this article, we give an isothermal and stationary description of compressor stations, state MINLP and GDP models for operating a single station, and discuss several continuous reformulations of the problem. The applicability and relevance of different model formulations, especially of those without discrete variables, is demonstrated by a computational study on both academic examples and real-world instances. In addition, we provide preliminary computational results for an entire network.
AB - When considering cost-optimal operation of gas transport networks, compressor stations play the most important role. Proper modeling of these stations leads to nonconvex mixed-integer nonlinear optimization problems. In this article, we give an isothermal and stationary description of compressor stations, state MINLP and GDP models for operating a single station, and discuss several continuous reformulations of the problem. The applicability and relevance of different model formulations, especially of those without discrete variables, is demonstrated by a computational study on both academic examples and real-world instances. In addition, we provide preliminary computational results for an entire network.
KW - Continuous reformulations
KW - Discrete-continuous nonlinear optimization
KW - Gas compressor stations
KW - Gas networks
KW - Mixed-integer optimization
UR - http://www.scopus.com/inward/record.url?scp=84959116922&partnerID=8YFLogxK
U2 - 10.1007/s00186-016-0533-5
DO - 10.1007/s00186-016-0533-5
M3 - Article
AN - SCOPUS:84959116922
VL - 83
SP - 409
EP - 444
JO - Mathematical Methods of Operations Research
JF - Mathematical Methods of Operations Research
SN - 1432-2994
IS - 3
ER -