2015/11/23 by Terrence W. K. Mak, Mak, Terrence W. K., Pascal Van Hentenryck +7
Engineering · #Electric Power System Optimization #FOS: Mathematics #Integrated Energy Systems Optimization #Optimization and Control (math.OC) #Smart Grid Energy Management
paper · pdf · doi:10.48550/arxiv.1511.07562
openalex publication_date 2015/11/23 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
The growing reliance of electric power systems on gas-fired generation to\nbalance intermittent sources of renewable energy has increased the variation\nand volume of flows through natural gas transmission pipelines. Adapting\npipeline operations to maintain efficiency and security under these new\nconditions requires optimization methods that account for transients and that\ncan quickly compute solutions in reaction to generator re-dispatch. This paper\npresents an efficient scheme to minimize compression costs under dynamic\nconditions where deliveries to customers are described by time-dependent mass\nflow. The optimization scheme relies on a compact representation of gas flow\nphysics, a trapezoidal discretization in time and space, and a two-stage\napproach to minimize energy costs and maximize smoothness. The resulting\nlarge-scale nonlinear programs are solved using a modern interior-point method.\nThe proposed optimization scheme is validated against an integration of dynamic\nequations with adaptive time-stepping, as well as a recently proposed\nstate-of-the-art optimal control method. The comparison shows that the\nsolutions are feasible for the continuous problem and also practical from an\noperational standpoint. The results also indicate that our scheme provides at\nleast an order of magnitude reduction in computation time relative to the\nstate-of-the-art and scales to large gas transmission networks with more than\n6000 kilometers of total pipeline.\n