DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Modeling and optimization of steady flow of natural gas and hydrogen mixtures in pipeline networks

Journal Article · · International Journal of Hydrogen Energy

Here, we extend the canonical problems of simulation and optimization of steady-state gas flows in pipeline networks with compressors to the transport of mixtures of highly heterogeneous gases injected throughout a network. Our study is motivated by proposed projects to blend hydrogen generated using clean energy into existing natural gas pipeline systems as part of efforts to reduce the reliance of energy systems on fossil fuels. Flow in a pipe is related to endpoint pressures by a basic Weymouth equation model, with an ideal gas equation of state, where the wave speed depends on the hydrogen concentration. At vertices, in addition to mass balance, we also consider mixing of incoming flows of varying hydrogen concentrations. The problems of interest are the heterogeneous gas flow simulation (HGFS), which determines system pressures and flows given fixed boundary conditions and compressor settings, as well as the heterogeneous gas flow optimization (HGFO), which extremizes an objective by determining optimal boundary conditions and compressor settings. We examine conditions for uniqueness of solutions to the HGFS, as well as compare and contrast mixed-integer and continuous nonlinear programming formulations for the HGFO. We develop computational methods to solve both problems, and examine their performance using four test networks of increasing complexity.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2329240
Report Number(s):
LA-UR--22-32518
Journal Information:
International Journal of Hydrogen Energy, Journal Name: International Journal of Hydrogen Energy Vol. 54; ISSN 0360-3199
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (37)

Dynamic optimization for gas blending in pipeline networks with gas interchangeability control journal January 2020
Simulation of transient gas flows in networks journal January 1984
On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming journal April 2005
An interior algorithm for nonlinear optimization that combines line search and trust region steps journal November 2005
Complementarity-based nonlinear programming techniques for optimal mixing in gas networks journal May 2019
An LP/NLP based branch and bound algorithm for convex MINLP optimization problems journal October 1992
Unsteady and transient flow of compressible fluids in pipelines—a review of theoretical and some experimental studies journal March 1987
Direct numerical simulation of turbulent mixing of a passive scalar in pipe flow journal July 1999
Optimization problems in natural gas transportation systems: A state-of-the-art review journal June 2015
Dynamic modeling of natural gas quality within transport pipelines in presence of hydrogen injections journal January 2017
An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks journal January 2019
Simulation and Optimization Models of Steady-state Gas Transmission Networks journal January 2015
The use of the natural-gas pipeline infrastructure for hydrogen transport in a changing market structure journal July 2007
A mathematical framework for modelling and evaluating natural gas pipeline networks under hydrogen injection journal November 2008
Dynamic behaviour of non-isothermal compressible natural gases mixed with hydrogen in pipelines journal August 2009
An MILP model for the reformation of natural gas pipeline networks with hydrogen injection journal August 2018
Optimization of long-distance and large-scale transmission of renewable hydrogen in China: Pipelines vs. UHV journal July 2022
Modelling of gas network transient flows with multiple hydrogen injections and gas composition tracking journal January 2022
A review of technical and regulatory limits for hydrogen blending in natural gas pipelines journal February 2023
Effect of hydrogen blending on the energy capacity of natural gas transmission networks journal May 2023
Research on the dynamic characteristics of natural gas pipeline network with hydrogen injection considering line-pack influence journal July 2023
Analysis of compression and transport of the methane/hydrogen mixture in existing natural gas pipelines journal September 2018
Gas composition tracking in transient pipeline flow journal July 2018
Numerical modelling of hydrogen-natural gas mixtures flows in looped networks journal November 2017
Hydrogen embrittlement of steel pipelines during transients journal January 2018
An Uncertainty Management Framework for Integrated Gas-Electric Energy Systems journal September 2020
Monotonicity Properties of Physical Network Flows and Application to Robust Optimal Allocation journal September 2020
Natural Gas Flow Solvers Using Convex Relaxation journal September 2020
On the Flow Problem in Water Distribution Networks: Uniqueness and Solvers journal March 2021
State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data journal September 2019
JuMP: A Modeling Language for Mathematical Optimization journal January 2017
Convex Relaxations for Gas Expansion Planning journal November 2016
Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity journal February 2000
Blending Hydrogen into Natural Gas Pipeline Networks. A Review of Key Issues report March 2013
Natural Gas Flow Equations: Uniqueness and an MI-SOCP Solver conference July 2019
Challenges of compressing hydrogen for pipeline transportation with centrifugal-compressors conference September 2020
GasLib—A Library of Gas Network Instances journal December 2017