We introduce a linearization procedure that transforms gas pipeline transient optimization problems to linear programs using a piece-wise local discretization scheme that enables closed-form solution of partial differential equations for gas flow. An entire pipeline system including junctions and compressors is modeled, where feasible regions for compressor operation are approximated by inscribed convex polygons. The reduction to linear programming enables acceleration of solution time for nonlinear optimization of large-scale systems by several orders of magnitude compared with previous methods, and enables the incorporation of binary decision variables in future extensions. This study compares numerical solutions with previously validated methods to assess accuracy and computation time using a case study based on a section of an actual pipeline system.
Fast Transient Optimization of Gas Pipelines by Analytic Transformation to Linear Programs
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Beylin, Aleksandr, Rudkevich, Aleksandr M., and Anatoly Zlotnik. "Fast Transient Optimization of Gas Pipelines by Analytic Transformation to Linear Programs." Paper presented at the PSIG Annual Meeting, physical event cancelled, May 2020.
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