Coordination of Power and Natural Gas Systems: Convexification Approaches for Linepack Modeling

Anna Schwele, Christos Ordoudis, Jalal Kazempour, Pierre Pinson

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Utilizing operational flexibility from natural gas networks can foster the integration of uncertain and variable renewable power production. We model a combined power and natural gas dispatch to reveal the maximum potential of linepack, i.e., energy storage in the pipelines, as a source of flexibility for the power system. The natural gas flow dynamics are approximated by a combination of steady-state equations and varying incoming and outgoing flows in the pipelines to account for both natural gas transport and linepack. This steadystate natural gas flow results in a nonlinear and nonconvex formulation. To cope with the computational challenges, we explore convex quadratic relaxations and linear approximations. We propose a novel mixed-integer second-order cone formulation including McCormick relaxations to model the bidirectional natural gas flow accounting for linepack. Flexibility is quantified in terms of system cost compared to a dispatch model that either neglects linepack or assumes infinite storage capability
Original languageEnglish
Title of host publicationProceedings of IEEE PES PowerTech 2019
Number of pages6
Publication date2020
ISBN (Electronic)978-1-5386-4722-6
Publication statusPublished - 2020
Event13th IEEE PowerTech Milano 2019: Leading innovation for energy transition - Bovisa Campus of Politecnico di Milano, Milano, Italy
Duration: 23 Jun 201927 Jun 2019
Conference number: 13


Conference13th IEEE PowerTech Milano 2019
LocationBovisa Campus of Politecnico di Milano
OtherPowerTech is the anchor conference of the IEEE Power & Energy Society (PES) in Europe
Internet address


  • Combined power and natural gas dispatch
  • Convexification
  • McCormick relaxation
  • Second-order cone program
  • Steady-state gas flow


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