2020/12/04 by Pia Domschke, Domschke, Pia, Oliver Kolb +3
Engineering · #35Q93 #65K99 #65M22 #65Z99 #FOS: Mathematics #Integrated Energy Systems Optimization #Optimization and Control (math.OC) #Process Optimization and Integration #Reservoir Engineering and Simulation Methods
paper · pdf · doi:10.48550/arxiv.2012.02737
openalex publication_date 2020/12/04 · openalex created_date 2022/10/15 · openalex updated_date 2026/07/28
We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by sufficiently accurate physical models taken from a hierarchy of decreasing complexity and varying over time. Feasible work regions of compressor stations consisting of several turbo compressors are included by semiconvex approximations of aggregated characteristic fields. A discrete adjoint approach within a first-discretize-then-optimize strategy is proposed and a sequential quadratic programming with an active set strategy is applied to solve the nonlinear constrained optimization problems resulting from a validation of nominations. The method proposed here accelerates the computation of near-term forecasts of sudden changes in the gas management and allows for an economic control of intra-day gas flow schedules in large networks. Case studies for real gas pipeline systems show the remarkable performance of the new method.