Modelling Gas Networks with Compressors: A port‐Hamiltonian Approach
Authors
Thomas Bendokat, Peter Benner, Sara Grundel, Ashwin S. Nayak
Abstract
Transient gas network simulations can significantly assist in design and operational aspects of gas networks. Models used in these simulations require a detailed framework integrating various models of the network constituents ‐ pipes and compressor stations among others. In this context, the port‐Hamiltonian modelling framework provides an energy‐based modelling approach with a port‐based coupling mechanism. This study investigates developing compressor models in an integrated isothermal port‐Hamiltonian model for gas networks. Four different models of compressors are considered and their inclusion in a larger network model is detailed. A numerical implementation for a simple test case is provided to confirm the validity of the proposed model and to highlight their differences.
Citation
- Journal: PAMM
- Year: 2024
- Volume: 24
- Issue: 4
- Pages:
- Publisher: Wiley
- DOI: 10.1002/pamm.202400164
BibTeX
@article{Bendokat_2024,
title={{Modelling Gas Networks with Compressors: A port‐Hamiltonian Approach}},
volume={24},
ISSN={1617-7061},
DOI={10.1002/pamm.202400164},
number={4},
journal={PAMM},
publisher={Wiley},
author={Bendokat, Thomas and Benner, Peter and Grundel, Sara and Nayak, Ashwin S.},
year={2024}
}
References
- Melaina M. W., Blending Hydrogen into Natural Gas Pipeline Networks: A Review of Key Issues (2013)
- Gorji, S. A. Challenges and opportunities in green hydrogen supply chain through metaheuristic optimization. Journal of Computational Design and Engineering 10, 1143–1157 (2023) – 10.1093/jcde/qwad043
- Semeraro, M. A., III. Renewable energy transport via hydrogen pipelines and HVDC transmission lines. Energy Strategy Reviews 35, 100658 (2021) – 10.1016/j.esr.2021.100658
- Herty, M. Modeling, simulation and optimization of gas networks with compressors. Networks & Heterogeneous Media 2, 81–97 (2007) – 10.3934/nhm.2007.2.81
- Pambour, K. A., Bolado-Lavin, R. & Dijkema, G. P. J. An integrated transient model for simulating the operation of natural gas transport systems. Journal of Natural Gas Science and Engineering 28, 672–690 (2016) – 10.1016/j.jngse.2015.11.036
- Gyrya, V. & Zlotnik, A. An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks. Applied Mathematical Modelling 65, 34–51 (2019) – 10.1016/j.apm.2018.07.051
- Bermúdez, A. & Shabani, M. Modelling compressors, resistors and valves in finite element simulation of gas transmission networks. Applied Mathematical Modelling 89, 1316–1340 (2021) – 10.1016/j.apm.2020.08.013
- Himpe, C., Grundel, S. & Benner, P. Model order reduction for gas and energy networks. J.Math.Industry 11, (2021) – 10.1186/s13362-021-00109-4
- Domschke P., Gas Network Modeling: An Overview (2021)
- Hauschild, S.-A. & Marheineke, N. Structure‐preserving discretization of a port‐Hamiltonian formulation of the non‐isothermal Euler equations. Proc Appl Math and Mech 20, (2021) – 10.1002/pamm.202000014
- Hauschild, S.-A. & Marheineke, N. Extended Group Finite Element Method for a port‐Hamiltonian Formulation of the Non‐Isothermal Euler Equations. Proc Appl Math & Mech 21, (2021) – 10.1002/pamm.202100032
- Hauschild, S. & Marheineke, N. Structure‐preserving methods for a coupled port‐Hamiltonian system of compressible non‐isothermal fluid flow. Proc Appl Math and Mech 23, (2023) – 10.1002/pamm.202300012
- van der Schaft, A. & Jeltsema, D. Port-Hamiltonian Systems Theory: An Introductory Overview. FnT in Systems and Control 1, 173–378 (2014) – 10.1561/2600000002
- Zlotnik, A., Chertkov, M. & Backhaus, S. Optimal control of transient flow in natural gas networks. 2015 54th IEEE Conference on Decision and Control (CDC) 4563–4570 (2015) doi:10.1109/cdc.2015.7402932 – 10.1109/cdc.2015.7402932
- Walther T., Modelling Compressor Stations in Gas Networks (2017)
- Sundar, K. & Zlotnik, A. State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data. IEEE Trans. Contr. Syst. Technol. 27, 2110–2124 (2019) – 10.1109/tcst.2018.2851507
- El-Sayed, A. F. Centrifugal and Axial Compressors. Fundamentals of Aircraft and Rocket Propulsion 703–838 (2016) doi:10.1007/978-1-4471-6796-9_9 – 10.1007/978-1-4471-6796-9_9
- Brown R. N., Compressors: Selection and Sizing (2005)
- Chaczykowski, M. Sensitivity of pipeline gas flow model to the selection of the equation of state. Chemical Engineering Research and Design 87, 1596–1603 (2009) – 10.1016/j.cherd.2009.06.008
- Bendokat, T., Benner, P., Grundel, S. & Nayak, A. S. Modelling Gas Networks with Compressors: A port‐Hamiltonian Approach. Proc Appl Math and Mech 24, (2024) – 10.1002/pamm.202400164