# Sparsity-leveraging Reconfiguration of Smart Distribution Systems

arXiv: https://arxiv.org/abs/1303.5802 · HTML: https://mlsanity.com/paper/1303.5802/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 23 Mar 2013.

## Built on by (most cited first, 1 of 1)

- [Graph Learning based Generative Design for Resilience of Interdependent Network Systems](https://mlsanity.com/paper/2207.00931/) (2022)

## Abstract (arXiv)

A system reconfiguration problem is considered for three-phase power distribution networks featuring distributed generation. In lieu of binary line selection variables, the notion of group sparsity is advocated to re-formulate the nonconvex distribution system reconfiguration (DSR) problem into a convex one. Using the duality theory, it is shown that the line selection task boils down to a shrinkage and thresholding operation on the line currents. Further, numerical tests illustrate the ability of the proposed scheme to identify meshed, weakly-meshed, or even radial configurations by adjusting a sparsity-tuning parameter in the DSR cost. Constraints on the voltages are investigated, and incorporated in the novel DSR problem to effect voltage regulation.