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2709. A Tight Approach on Piecewise Linear Pipeline Gas Flow Modeling with Linepack

Invited abstract in session WA-9: Decarbonized energy systems & markets, stream Energy Markets.

Wednesday, 8:30-10:00
Room: 10 (building: 116)

Authors (first author is the speaker)

1. Thomas Klatzer
Institute of Electricity Economics and Energy Innovation, Graz University of Technology
2. Germán Morales-Espana
Energy Policy Studies, ECN part of TNO
3. Diego Tejada
Energy Transition Studies, TNO
4. Sonja Wogrin
Graz University of Technology

Abstract

Integrated power and gas energy system optimization models (ESOMs) can be a valuable tool for planning decarbonized energy systems. In this context, pipeline gas transmission is a particularly complex problem due to the nonlinear and nonconvex relation of (bidirectional) gas flows and gas pressure and the pipeline’s capacity to be used for short-term gas storage (linepack). One method to deal with this complexity is piecewise linearization, which implies formulating the ESOM as mixed-integer linear program (MILP). In the literature, several general piecewise linearization methods with the desirable characteristics of tight formulations have been applied. However, these methods are not tailored to this specific problem and thus tightness is harmed. Against this background, we propose a novel piecewise linearization method for the pipeline gas transmission problem with linepack. By computing the tightest possible polyhedra equivalent to its linear systems of constraints, we show that the proposed formulation is tight per se while others are not. The resulting computational advantages are demonstrated in a case study of an integrated 24-bus power and 12-node gas system interlinked by gas-fired generators (based on discrete unit commitment decisions).

Keywords

Status: accepted

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