We present a method for joint state and parameter estimation for natural gas networks where gas pressures and flows through a network of pipes depend on time-varying injections, withdrawals, and compression controls. The estimation is posed as an optimal control problem constrained by coupled partial differential equations on each pipe that describe space- and time-dependent density and mass flux. These are discretized and combined with nodal conditions to give dynamic constraints for posing the estimation as nonlinear least squares problems. We develop a rapid, scalable computational method for performing the estimation in the presence of measurement and process noise. Finally, we evaluate its effectiveness using a data set from a capacity planning model for an actual pipeline system and a month of time-series data from its supervisory control and data acquisition (SCADA) system.
@article{arxiv.1912.05644,
title = {Dynamic State and Parameter Estimation for Natural Gas Networks using Real Pipeline System Data},
author = {Kaarthik Sundar and Anatoly Zlotnik},
journal= {arXiv preprint arXiv:1912.05644},
year = {2019}
}
Comments
In Proc. 3rd IEEE Conference on Control Technology and Applications. arXiv admin note: substantial text overlap with arXiv:1803.07156