Operation of Natural Gas Pipeline Networks With Storage Under Transient Flow Conditions

Hari, Sai Krishna Kanth; Sundar, Kaarthik; Srinivasan, Shriram; Zlotnik, Anatoly V.; Bent, Russell Whitford

doi:10.1109/tcst.2021.3071316

Operation of Natural Gas Pipeline Networks With Storage Under Transient Flow Conditions

Journal Article · Tue Apr 20 00:00:00 EDT 2021 · IEEE Transactions on Control Systems Technology

DOI:https://doi.org/10.1109/tcst.2021.3071316· OSTI ID:1874909

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, we formulate a nonlinear optimal control problem for intraday operation of a natural gas pipeline network that includes storage reservoirs. The dynamics of compressible gas flow through pipes, compressors, reservoirs, and wells are considered. In particular, a reservoir is modeled as a rigid, hollow container that stores gas under isothermal conditions and uniform density, and a well is modeled as a vertical pipe. For each pipe, flow dynamics are described by a coupled partial differential equation (PDE) system in density and mass flux variables, with momentum dissipation modeled using the Darcy–Wiesbach friction approximation. Compressors are modeled as scaling up the pressure of gas between the inlet and outlet. The governing equations for all network components are spatially discretized and assembled into a nonlinear differential-algebraic equation (DAE) system, which synthesizes above-ground pipeline and subsurface reservoir dynamics into a single reduced-order model. We seek to maximize an objective function that quantifies economic profit and network efficiency subject to the flow equations and inequalities that represent operating limitations. The problem is solved using a primal–dual interior point solver, and the solutions are validated in computational experiments and simulations on several pipeline test networks to demonstrate the effectiveness of the proposed methodology.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Electricity (OE); USDOE Office of Environment, Health, Safety and Security (AU); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1874909

Report Number(s):: LA-UR-20-27442

Journal Information:: IEEE Transactions on Control Systems Technology, Journal Name: IEEE Transactions on Control Systems Technology Journal Issue: 2 Vol. 30; ISSN 1063-6536

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

References (29)

Thermal modeling of activated carbon based adsorptive natural gas storage system Basumatary, R.; Dutta, P.; Prasad, M. Carbon, Vol. 43, Issue 3 https://doi.org/10.1016/j.carbon.2004.10.016	journal	January 2005
Optimal Control for Scheduling and Pricing Intra-day Natural Gas Transport on Pipeline Networks Zlotnik, Anatoly; Sundar, Kaarthik; Rudkevich, Aleksandr M. 2019 IEEE 58th Conference on Decision and Control (CDC) https://doi.org/10.1109/cdc40024.2019.9030009	conference	December 2019
Julia: A Fresh Approach to Numerical Computing Bezanson, Jeff; Edelman, Alan; Karpinski, Stefan arXiv https://doi.org/10.48550/arxiv.1411.1607	preprint	January 2014
Simulation of transient gas flows in networks Osiadacz, A. International Journal for Numerical Methods in Fluids, Vol. 4, Issue 1 https://doi.org/10.1002/fld.1650040103	journal	January 1984
Knitro: An Integrated Package for Nonlinear Optimization Byrd, Richard H.; Nocedal, Jorge; Waltz, Richard A. Nonconvex Optimization and Its Applications https://doi.org/10.1007/0-387-30065-1_4	book	January 2006
Unsteady and transient flow of compressible fluids in pipelines—a review of theoretical and some experimental studies Thorley, A. R. D.; Tiley, C. H. International Journal of Heat and Fluid Flow, Vol. 8, Issue 1 https://doi.org/10.1016/0142-727X(87)90044-0	journal	March 1987
An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks Gyrya, Vitaliy; Zlotnik, Anatoly Applied Mathematical Modelling, Vol. 65 https://doi.org/10.1016/j.apm.2018.07.051	journal	January 2019
Frankenstein’s ROMster: Avoiding pitfalls of reduced-order model development Chen, Bailian; Harp, Dylan R.; Pawar, Rajesh J. International Journal of Greenhouse Gas Control, Vol. 93 https://doi.org/10.1016/j.ijggc.2019.102892	journal	February 2020
A state space model for transient flow simulation in natural gas pipelines Alamian, R.; Behbahani-Nejad, M.; Ghanbarzadeh, A. Journal of Natural Gas Science and Engineering, Vol. 9 https://doi.org/10.1016/j.jngse.2012.05.013	journal	November 2012
Model-based control of multiphase flow in subsurface oil reservoirs Jansen, Jan-Dirk; Bosgra, Okko H.; Van den Hof, Paul M. J. Journal of Process Control, Vol. 18, Issue 9 https://doi.org/10.1016/j.jprocont.2008.06.011	journal	October 2008
Operator splitting method for simulation of dynamic flows in natural gas pipeline networks Dyachenko, Sergey A.; Zlotnik, Anatoly; Korotkevich, Alexander O. Physica D: Nonlinear Phenomena, Vol. 361 https://doi.org/10.1016/j.physd.2017.09.002	journal	December 2017
An Optimization-Based State Estimation Framework for Large-Scale Natural Gas Networks Jalving, Jordan; Zavala, Victor M. Industrial & Engineering Chemistry Research, Vol. 57, Issue 17 https://doi.org/10.1021/acs.iecr.7b04124	journal	December 2017
Process Modeling of CO ₂ Injection into Natural Gas Reservoirs for Carbon Sequestration and Enhanced Gas Recovery Oldenburg, C. M.; Pruess, K.; Benson, S. M. Energy & Fuels, Vol. 15, Issue 2 https://doi.org/10.1021/ef000247h	journal	March 2001
Simulation and State Estimation of Transient Flow in Gas Pipeline Networks Using a Transfer Function Model Reddy, H. Prashanth; Narasimhan, Shankar; Bhallamudi, S. Murty Industrial & Engineering Chemistry Research, Vol. 45, Issue 11 https://doi.org/10.1021/ie050755k	journal	May 2006
Identifying, understanding, and analyzing critical infrastructure interdependencies Rinaldi, S. M.; Peerenboom, J. P.; Kelly, T. K. IEEE Control Systems, Vol. 21, Issue 6, p. 11-25 https://doi.org/10.1109/37.969131	journal	December 2001
Efficient dynamic compressor optimization in natural gas transmission systems Mak, Terrence W. K.; Van Hentenryck, Pascal; Zlotnik, Anatoly 2016 American Control Conference (ACC) https://doi.org/10.1109/ACC.2016.7526855	conference	July 2016
Dynamic State and Parameter Estimation for Natural Gas Networks using Real Pipeline System Data Sundar, Kaarthik; Zlotnik, Anatoly 2019 IEEE Conference on Control Technology and Applications (CCTA) https://doi.org/10.1109/CCTA.2019.8920430	conference	August 2019
Optimal control of transient flow in natural gas networks Zlotnik, Anatoly; Chertkov, Michael; Backhaus, Scott 2015 54th IEEE Conference on Decision and Control (CDC) https://doi.org/10.1109/CDC.2015.7402932	conference	December 2015
Optimal Control for Scheduling and Pricing Intra-day Natural Gas Transport on Pipeline Networks Zlotnik, Anatoly; Sundar, Kaarthik; Rudkevich, Aleksandr M. 2019 IEEE 58th Conference on Decision and Control (CDC) https://doi.org/10.1109/CDC40024.2019.9030009	conference	December 2019
An Uncertainty Management Framework for Integrated Gas-Electric Energy Systems Roald, Line A.; Sundar, Kaarthik; Zlotnik, Anatoly Proceedings of the IEEE, Vol. 108, Issue 9 https://doi.org/10.1109/JPROC.2020.3005505	journal	September 2020
Monotonicity Properties of Physical Network Flows and Application to Robust Optimal Allocation Misra, Sidhant; Vuffray, Marc; Zlotnik, Anatoly Proceedings of the IEEE, Vol. 108, Issue 9 https://doi.org/10.1109/JPROC.2020.3014069	journal	September 2020
State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data Sundar, Kaarthik; Zlotnik, Anatoly IEEE Transactions on Control Systems Technology, Vol. 27, Issue 5 https://doi.org/10.1109/TCST.2018.2851507	journal	September 2019
Interdependency of Natural Gas Network and Power System Security Li, Tao; Eremia, Mircea; Shahidehpour, Mohammad IEEE Transactions on Power Systems, Vol. 23, Issue 4 https://doi.org/10.1109/TPWRS.2008.2004739	journal	November 2008
Coordinated Scheduling for Interdependent Electric Power and Natural Gas Infrastructures Zlotnik, Anatoly; Roald, Line; Backhaus, Scott IEEE Transactions on Power Systems, Vol. 32, Issue 1 https://doi.org/10.1109/TPWRS.2016.2545522	journal	January 2017
Robust Constrained Operation of Integrated Electricity-Natural Gas System Considering Distributed Natural Gas Storage He, Yubin; Shahidehpour, Mohammad; Li, Zhiyi IEEE Transactions on Sustainable Energy, Vol. 9, Issue 3 https://doi.org/10.1109/TSTE.2017.2764004	journal	July 2018
Model Reduction and Optimization of Natural Gas Pipeline Dynamics Zlotnik, Anatoly; Dyachenko, Sergey; Backhaus, Scott ASME 2015 Dynamic Systems and Control Conference, Volume 3: Multiagent Network Systems; Natural Gas and Heat Exchangers; Path Planning and Motion Control; Powertrain Systems; Rehab Robotics; Robot Manipulators; Rollover Prevention (AVS); Sensors and Actuators; Time Delay Systems; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamics Control; Vibration and Control of Smart Structures/Mech Systems; Vibration Issues in Mechanical Systems https://doi.org/10.1115/DSCC2015-9683	conference	January 2016
Julia: A Fresh Approach to Numerical Computing Bezanson, Jeff; Edelman, Alan; Karpinski, Stefan SIAM Review, Vol. 59, Issue 1 https://doi.org/10.1137/141000671	journal	January 2017
JuMP: A Modeling Language for Mathematical Optimization Dunning, Iain; Huchette, Joey; Lubin, Miles SIAM Review, Vol. 59, Issue 2 https://doi.org/10.1137/15M1020575	journal	January 2017
Introduction on CO ₂ Geological Storage - Classification of Storage Options Lokhorst, A.; Wildenborg, T. Oil & Gas Science and Technology, Vol. 60, Issue 3 https://doi.org/10.2516/ogst:2005033	journal	May 2005

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