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Center for Nonlinear Studies |
Unbalanced power flow is the modelling framework underlying the steady state physics of three-phase power grids with nonneglegible phase unbalance. The underlying problem is posed in Kirchhoff's circuit laws, which are linear equations in current and voltage vectors for known branch impedance matrices.Recently, a number of mathematical formulations have been developed, and applied successfully, to solve optimization problems subject to the physics of power grids with negligible phase unbalance. Most of the current approaches still perform some approximation of the electrical physics. An analysis is presented on which aspects of models for power flow components, i.e. transformers, OLTCs, ‘ZIP’ loads, still need to be translated to unbalanced power flow optimization frameworks. The derivation of a voltage-dependent load models, for both wye and delta connections is illustrated. Numerical results are discussed, for both the nonconvex exact, and the convex relaxation formulations (using the intersection of power cones and the cone of positive semidefinite matrices).
Frederik Geth is a researcher with CSIRO Energy in Newcastle Australia since 2018. He is a Belgian, he is an electrical engineer and has been using Julia since v0.3. He obtained the BSc, MSc and PhD from the university of Leuven, where he did a post-doc as well. He performs research on optimisation models for power grids, from transmission to distribution. His research interests include accurate, from the physics perspective, but scalable optimisation models for power system problems.
Host: Beth Hornbein