Title
Operation of Natural Gas Pipeline Networks With Storage Under Transient Flow Conditions
Abstract
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.
Year
DOI
Venue
2022
10.1109/TCST.2021.3071316
IEEE Transactions on Control Systems Technology
Keywords
DocType
Volume
Natural gas network,natural gas storage,nonlinear optimal control,pipeline operations,transient pipeline flow
Journal
30
Issue
ISSN
Citations 
2
1063-6536
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Sai Krishna Kanth Hari100.34
Kaarthik Sundar27511.68
S. Srinivasan322.40
Anatoly Zlotnik4407.49
Russell Bent57915.68