State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data

Sundar, Kaarthik; Zlotnik, Anatoly V.

doi:10.1109/TCST.2018.2851507

Title: State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data

Abstract

Here, we formulate two estimation problems for pipeline systems in which measurements of the compressible gas flowing through a network of pipes are affected by time-varying injections, withdrawals, and compression. We consider a state estimation problem that is then extended to a joint state and parameter estimation problem that can be used for data assimilation. In both formulations, the flow dynamics are described on each pipe by space- and time-dependent densities and mass flux which evolve according to a system of coupled partial differential equations, in which momentum dissipation is modeled using the Darcy-Wiesbach friction approximation. These dynamics are first spatially discretized to obtain a system of nonlinear ordinary differential equations on which state and parameter estimation formulations are given as nonlinear least squares problems. A rapid, scalable computational method for performing a nonlinear least squares estimation is developed. Extensive simulations and computational experiments on multiple pipeline test networks demonstrate the effectiveness of the formulations in obtaining state and parameter estimates in the presence of measurement and process noise.

Authors:

^[1];

^[1]

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

Publication Date:: Tue Jul 17 00:00:00 EDT 2018

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

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1467207

Report Number(s):: LA-UR-17-27462
Journal ID: ISSN 1063-6536

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: IEEE Transactions on Control Systems Technology

Additional Journal Information:: Journal Volume: 27; Journal Issue: 5; Journal ID: ISSN 1063-6536

Publisher:: IEEE

Country of Publication:: United States

Language:: English

Subject:: 03 NATURAL GAS; Natural Gas; Transient Flow; Nonlinear Least Squares; Optimization; Time-periodicity; Estimation

Citation Formats


                    Sundar, Kaarthik, and Zlotnik, Anatoly V. State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data.  United States: N. p., 2018. 
Web.  doi:10.1109/TCST.2018.2851507.

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                    Sundar, Kaarthik, & Zlotnik, Anatoly V. State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data.  United States.  https://doi.org/10.1109/TCST.2018.2851507

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                    Sundar, Kaarthik, and Zlotnik, Anatoly V. Tue .  
"State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data".  United States.  https://doi.org/10.1109/TCST.2018.2851507.  https://www.osti.gov/servlets/purl/1467207.

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@article{osti_1467207,

  title        = {State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data},

  author       = {Sundar, Kaarthik and Zlotnik, Anatoly V.},

  abstractNote = {Here, we formulate two estimation problems for pipeline systems in which measurements of the compressible gas flowing through a network of pipes are affected by time-varying injections, withdrawals, and compression. We consider a state estimation problem that is then extended to a joint state and parameter estimation problem that can be used for data assimilation. In both formulations, the flow dynamics are described on each pipe by space- and time-dependent densities and mass flux which evolve according to a system of coupled partial differential equations, in which momentum dissipation is modeled using the Darcy-Wiesbach friction approximation. These dynamics are first spatially discretized to obtain a system of nonlinear ordinary differential equations on which state and parameter estimation formulations are given as nonlinear least squares problems. A rapid, scalable computational method for performing a nonlinear least squares estimation is developed. Extensive simulations and computational experiments on multiple pipeline test networks demonstrate the effectiveness of the formulations in obtaining state and parameter estimates in the presence of measurement and process noise.},

  doi          = {10.1109/TCST.2018.2851507},

  journal      = {IEEE Transactions on Control Systems Technology},

  number       = 5,

  volume       = 27,

  place        = {United States},

  year         = {Tue Jul 17 00:00:00 EDT 2018},

  month        = {Tue Jul 17 00:00:00 EDT 2018}

}

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https://doi.org/10.1109/TCST.2018.2851507

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Cited by: 31 works

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Fig. 1: The figure illustrates the densities and flows at the boundaries of each edge and the compression that can be applied at both the nodes $i$ and $j$.

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Works referencing / citing this record:

The Cascade Control of Natural Gas Pipeline Systems
journal, January 2019

Wen, Kai; Gong, Jing; Wu, Yan
Applied Sciences, Vol. 9, Issue 3
DOI: 10.3390/app9030481

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Title: State and Parameter Estimation for Natural Gas Pipeline Networks Using Transient State Data

Abstract

Citation Formats

Figures / Tables:

The Cascade Control of Natural Gas Pipeline Systems journal, January 2019

The Cascade Control of Natural Gas Pipeline Systems
journal, January 2019