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

Journal Article · · IEEE Transactions on Control Systems Technology
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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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.
Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
LDRD; USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1467207
Report Number(s):
LA-UR--17-27462
Journal Information:
IEEE Transactions on Control Systems Technology, Journal Name: IEEE Transactions on Control Systems Technology Journal Issue: 5 Vol. 27; ISSN 1063-6536
Publisher:
IEEECopyright Statement
Country of Publication:
United States
Language:
English

Cited By (1)

The Cascade Control of Natural Gas Pipeline Systems journal January 2019

Figures / Tables (19)

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Related Subjects

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