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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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Linear optimal power flow (LOPF) formulations use a linearization of the AC load flow equations. The common formulation uses voltage angles at the buses as auxiliary optimization variables, but alternatives can be computationally advantageous. It is possible to circumvent the auxiliary voltage angle variables by expressing Kirchhoff's voltage law based on a cycle basis of the network graph. In computationally challenging benchmarks such as multi-period LOPF with storage dispatch and generation capacity expansion, this formulation incurred speed-ups by an order of magnitude. Including transmission expansion planning (TEP) adds to the problem complexity as it is bilinear (unless using a big-M disjunctive relaxation) due to the dependence of line expansion on line impedance and nonconvex because of a discrete set of line expansion options. This talk will guide through a derivation of a cycle-based mixed-integer linear formulation of the transmission expansion planning (TEP) problem instead of using an angle-based formulation and will motivate why it is necessary for spatially and temporally resolved energy system models that co-optimize generation, transmission and storage infrastructure. Bio: Fabian Neumann is pursuing a PhD at the Karlsruhe Institute of Technology (KIT) in Germany, where he works on methods to improve power and gas transmission network infrastructure representations in cross-sectoral energy system optimisation problems. He holds a MSc degree ('17) in Sustainable Energy Systems of the University of Edinburgh and a BSc degree ('16) in industrial engineering from KIT.
