Mixed-integer linear programming approaches for tree partitioning of power networks

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Publication date: 13 October 2021

Abstract: Tree partitioning has recently been proposed in the power systems literature as a less severe alternative to controlled islanding. In this paper, we formulate an optimization problem to tree partition a network with minimal power flow disruption and generator coherency constraints. We propose a single-stage MILP formulation to compute optimal solutions. Numerical experiments show that our MILP-based approach drastically decreases the power flow disruption when compared to an earlier proposed two-stage approach based on spectral clustering. Moreover, using a search space reduction procedure based on the Steiner Tree problem, the MILP-based approach computes near-optimal tree partitions in sub-second time for instances up to 500 buses.

Has companion code repository: https://github.com/leonlan/tree-partitioning

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