TY - GEN
T1 - Model reduction and optimization of natural gas pipeline dynamics
AU - Zlotnik, Anatoly
AU - Dyachenko, Sergey
AU - Backhaus, Scott
AU - Chertkov, Michael
N1 - Publisher Copyright:
© 2015 by ASME.
PY - 2015
Y1 - 2015
N2 - We derive a reduced control system model for the dynamics of compressible gas flow through a pipeline subject to distributed time-varying injections, withdrawals, and control actions of compressors. The gas dynamics PDE equations are simplified using lumped elements to a nonlinear ODE system with matrix coefficients. We verify that low-order integration of this ODE system with adaptive time-stepping is computationally consistent with solution of the PDE system using a split-step characteristic scheme on a regular space-time grid for a realistic pipeline model. Furthermore, the reduced model is tractable for use as the dynamic constraints of the optimal control problem of minimizing compression costs given transient withdrawals and gas pressure constraints. We discretize this problem as a finite nonlinear program using a pseudospectral collocation scheme, which we solve to obtain a polynomial approximation of the optimal transient compression controls. The method is applied to an example involving the Williams-Transco pipeline.
AB - We derive a reduced control system model for the dynamics of compressible gas flow through a pipeline subject to distributed time-varying injections, withdrawals, and control actions of compressors. The gas dynamics PDE equations are simplified using lumped elements to a nonlinear ODE system with matrix coefficients. We verify that low-order integration of this ODE system with adaptive time-stepping is computationally consistent with solution of the PDE system using a split-step characteristic scheme on a regular space-time grid for a realistic pipeline model. Furthermore, the reduced model is tractable for use as the dynamic constraints of the optimal control problem of minimizing compression costs given transient withdrawals and gas pressure constraints. We discretize this problem as a finite nonlinear program using a pseudospectral collocation scheme, which we solve to obtain a polynomial approximation of the optimal transient compression controls. The method is applied to an example involving the Williams-Transco pipeline.
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U2 - 10.1115/DSCC2015-9683
DO - 10.1115/DSCC2015-9683
M3 - Conference contribution
AN - SCOPUS:84973449357
T3 - ASME 2015 Dynamic Systems and Control Conference, DSCC 2015
BT - Multiagent Network Systems; Natural Gas and Heat Exchangers; Path Planning and Motion Control; Powertrain Systems; Rehab Robotics; Robot Manipulators; Rollover Prevention (AVS); Sensors and Actuators; Time Delay Systems; Tracking Control Systems; Uncertain Systems and Robustness; Unmanned, Ground and Surface Robotics; Vehicle Dynamics Control; Vibration and Control of Smart Structures/Mech Systems; Vibration Issues in Mechanical Systems
PB - American Society of Mechanical Engineers
T2 - ASME 2015 Dynamic Systems and Control Conference, DSCC 2015
Y2 - 28 October 2015 through 30 October 2015
ER -