We propose a partitioning problem in a power system context that weighs the two objectives of minimizing cuts between partitions and maximizing the power imbalance between partitions. We then pose the problem in a purely graph theoretic sense. We offer an approximate solution through relaxation of the integer problem and suggest refinement using stochastic methods. Results are presented for the IEEE 30-bus and 118-bus electric power systems.
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Lesieutre et al. (2006) studied this question.
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