2019/12/05 by Kaarthik Sundar, Sundar, Kaarthik, Anatoly Zlotnik +1
Engineering · #Advanced Control Systems Optimization #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Optimization and Control (math.OC) #Process Optimization and Integration #Reservoir Engineering and Simulation Methods #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1912.05644
openalex publication_date 2019/12/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
We present a method for joint state and parameter estimation for natural gas\nnetworks where gas pressures and flows through a network of pipes depend on\ntime-varying injections, withdrawals, and compression controls. The estimation\nis posed as an optimal control problem constrained by coupled partial\ndifferential equations on each pipe that describe space- and time-dependent\ndensity and mass flux. These are discretized and combined with nodal conditions\nto give dynamic constraints for posing the estimation as nonlinear least\nsquares problems. We develop a rapid, scalable computational method for\nperforming the estimation in the presence of measurement and process noise.\nFinally, we evaluate its effectiveness using a data set from a capacity\nplanning model for an actual pipeline system and a month of time-series data\nfrom its supervisory control and data acquisition (SCADA) system.\n