Abstract

Power distribution grids are sparse networks. The admittance matrix of a (radial or non-radial) power distribution grid is sparse, safety-critical events are relatively sparse at any given time compared with the number of nodes, and loads that produce significant harmonics at a specific order are also sparse. In this highlight talk, we define different types of sparsity in unbalanced three-phase power distribution systems, and explain how sparsity can be leveraged to address three increasingly important problems:

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