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math.OC2021★ 2 cited
Refining bridge-block decompositions through two-stage and recursive tree partitioning
Leon Lan, Alessandro Zocca
In transmission networks power flows and network topology are deeply intertwined due to power flow physics. Recent literature shows that specific network substructures named bridge…
math.OC2021
Hopping between distant basins
Maldon Goodridge, John Moriarty, Jure Vogrinc +1
We present the Basin Hopping with Skipping (BH-S) algorithm for stochastic optimisation, which replaces the perturbation step of basin hopping (BH) with a so-called skipping propos…
math.OC2021
A Spectral Representation of Power Systems with Applications to Adaptive Grid Partitioning and Cascading Failure Localization
Alessandro Zocca, Chen Liang, Linqi Guo +2
Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliabl…