NDLI: Optimal control of transient flow in natural gas networks

Content Provider	IEEE Xplore Digital Library
Author	Zlotnik, Anatoly Chertkov, Michael Backhaus, Scott
Copyright Year	2015
Description	Author affiliation: Center for Nonlinear Studies, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, United States of America (Zlotnik, Anatoly) \|\| Physics of Condensed Matter & Complex Systems, Theoretical Division, Los Alamos National Laboratory, NM 87545, United States of America (Chertkov, Michael) \|\| Condensed Matter & Magnet Science, Materials Physics and Applications Division, Los Alamos National Laboratory, NM 87545, United States of America (Backhaus, Scott)
Abstract	We outline a new control system model for the distributed dynamics of compressible gas flow through large-scale pipeline networks with time-varying injections, withdrawals, and control actions of compressors and regulators. The gas dynamics PDE equations over the pipelines, together with boundary conditions at junctions, are reduced using lumped elements to a sparse nonlinear ODE system expressed in vector-matrix form using graph theoretic notation. This system, which we call the reduced network flow (RNF) model, is a consistent discretization of the PDE equations for gas flow. The RNF forms the dynamic constraints for optimal control problems for pipeline systems with known time-varying withdrawals and injections and gas pressure limits throughout the network. The objectives include economic transient compression (ETC) and minimum load shedding (MLS), which involve minimizing compression costs or, if that is infeasible, minimizing the unfulfilled deliveries, respectively. These continuous functional optimization problems are approximated using the Legendre-Gauss-Lobatto (LGL) pseudospectral collocation scheme to yield a family of nonlinear programs, whose solutions approach the optima with finer discretization. Simulation and optimization of time-varying scenarios on an example natural gas transmission network demonstrate the gains in security and efficiency over methods that assume steady-state behavior.
Starting Page	4563
Ending Page	4570
File Size	586958
Page Count	8
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7402932
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Pipelines Transient analysis Natural gas Mathematical model Compressors Junctions Optimization
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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