Fast and reliable transient simulation and continuous optimization of large-scale gas networks

Pia Domschke (), Oliver Kolb () and Jens Lang ()
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Pia Domschke: Frankfurt School of Finance and Management
Oliver Kolb: University of Mannheim
Jens Lang: Technical University of Darmstadt

Mathematical Methods of Operations Research, 2022, vol. 95, issue 3, No 5, 475-501

Abstract: Abstract 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.

Keywords: Transient gas supply networks; Model hierarchy; Error estimators; Adaptivity; Optimal control; 65K99; 65Z99; 65M22; 35Q93 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00186-021-00765-7

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