A projection-based decomposition algorithm for distributed fast computation of control in microgrids

Andres Cortés and Sonia Martínez
SIAM Journal on Control and Optimization, 56 (2) (2018) 583-609

Abstract:

We present a novel algorithm for the computation of optimal predictive storage and reactive power control in microgrids. This algorithm is based on the dual decomposition method, but local constraints are handled by means of primal projections. The use of projections significantly increases the speed of convergence of the approach with respect to the dual decomposition algorithm, which uses dual variables for the local constraints of the problem. Convergence of the algorithm to an optimizer is shown for a general class of quadratic programs, which includes a storage and reactive power control problem. In addition, a distributed implementation of the algorithm which is based on the Jacobi overrelaxation is presented. Simulations compare the algorithm performance with that of a purely dual decomposition approach over a set of different microgrid testbeds.

File: main.pdf

Bib-tex entry:

@article{AC-SM:18,
author = {A. Cort\'es and S. Mart{\'\i}nez},
title = {A projection-based dual algorithm for fast computation of control in microgrids},
journal= {SIAM Journal on Control and Optimization},
year = {2018},
volume = {56},
number = {2},
pages = {583-609}
}