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


== Abstract ==

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 steady-state 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 document ==

The different versions of the original document can be found in:

* [https://backend.orbit.dtu.dk/ws/files/170561101/Anna_PowerTech_2019.pdf https://backend.orbit.dtu.dk/ws/files/170561101/Anna_PowerTech_2019.pdf]

* [http://xplorestaging.ieee.org/ielx7/8792346/8810400/08810632.pdf?arnumber=8810632 http://xplorestaging.ieee.org/ielx7/8792346/8810400/08810632.pdf?arnumber=8810632],
: [http://dx.doi.org/10.1109/ptc.2019.8810632 http://dx.doi.org/10.1109/ptc.2019.8810632]

* [https://orbit.dtu.dk/en/publications/a7528d01-818b-4372-bcd6-86b76453cac5 https://orbit.dtu.dk/en/publications/a7528d01-818b-4372-bcd6-86b76453cac5],
: [https://doi.org/10.1109/PTC.2019.8810632 https://doi.org/10.1109/PTC.2019.8810632],
: [https://backend.orbit.dtu.dk/ws/files/170561101/Anna_PowerTech_2019.pdf https://backend.orbit.dtu.dk/ws/files/170561101/Anna_PowerTech_2019.pdf]

* [https://orbit.dtu.dk/files/170561101/Anna_PowerTech_2019.pdf https://orbit.dtu.dk/files/170561101/Anna_PowerTech_2019.pdf],
: [https://backend.orbit.dtu.dk/ws/files/170561101/Anna_PowerTech_2019.pdf https://backend.orbit.dtu.dk/ws/files/170561101/Anna_PowerTech_2019.pdf],
: [https://orbit.dtu.dk/en/publications/coordination-of-power-and-natural-gas-systems-convexification-app https://orbit.dtu.dk/en/publications/coordination-of-power-and-natural-gas-systems-convexification-app],
: [https://orbit.dtu.dk/en/publications/coordination-of-power-and-natural-gas-systems-convexification-approaches-for-linepack-modeling(a7528d01-818b-4372-bcd6-86b76453cac5).html https://orbit.dtu.dk/en/publications/coordination-of-power-and-natural-gas-systems-convexification-approaches-for-linepack-modeling(a7528d01-818b-4372-bcd6-86b76453cac5).html],
: [https://academic.microsoft.com/#/detail/2967659336 https://academic.microsoft.com/#/detail/2967659336]