Title
State and Parameter Estimation for Natural Gas Pipeline Networks using Transient State Data.
Abstract
We formulate two estimation problems for pipeline systems in which measurements of compressible gas flow through a network of pipes is 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 density and mass flux that evolve according to a system of coupled partial differential equations, in which momentum dissipation is modelled 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.
Year
DOI
Venue
2018
10.1109/TCST.2018.2851507
IEEE Transactions on Control Systems and Technology
Keywords
Field
DocType
Mathematical model,Pipelines,Estimation,Transient analysis,Natural gas,Parameter estimation,Computational modeling
Applied mathematics,Discretization,Pipeline transport,Control theory,Dissipation,Transient state,Non-linear least squares,Data assimilation,Estimation theory,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
abs/1803.07156
5
1063-6536
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
Kaarthik Sundar17511.68
Anatoly Zlotnik2407.49