Synchronization in Networks of Identical Systems via Pinning: Application to Distributed Secondary Control of Microgrids

TL;DR

This paper develops bounds and algorithms for effective pinning control in networked systems, specifically applied to secondary voltage control in islanded microgrids, enhancing synchronization efficiency.

Contribution

It introduces a novel polynomial-time algorithm for selecting pinning nodes based on algebraic connectivity bounds, improving microgrid synchronization strategies.

Findings

Bounds on network algebraic connectivity derived

A polynomial-time pinning node selection algorithm proposed

Enhanced secondary voltage control demonstrated in microgrid simulations

Abstract

Motivated by the need for fast synchronized operation of power microgrids, we analyze the problem of single and multiple pinning in networked systems. We derive lower and upper bounds on the algebraic connectivity of the network with respect to the reference signal. These bounds are utilized to devise a suboptimal algorithm with polynomial complexity to find a suitable set of nodes to pin the network effectively and efficiently. The results are applied to secondary voltage pinning control design for a microgrid in islanded operation mode. Comparisons with existing single and multiple pinning strategies clearly demonstrates the efficacy of the obtained results.