# Spatial uniformity in power-grid system

## TL;DR

This paper demonstrates that a more spatially uniform distribution of generators in a power grid enhances synchronization and recovery from failures, offering insights for designing more robust power systems.

## Contribution

It systematically investigates the impact of spatial uniformity of generators on power-grid synchronization and robustness, providing new guidelines for grid design.

## Key findings

- Greater spatial uniformity improves synchronization.
- Uniform distribution accelerates recovery from failures.
- Results have practical implications for power-grid structure design.

## Abstract

Robust synchronization is indispensable for stable operation of a power grid. Recently, it has been reported that a large number of decentralized generators, rather than a small number of large power plants, provide enhanced synchronization together with greater robustness against structural failures. In this paper, we systematically control the spatial uniformity of the geographical distribution of generators, and conclude that the more uniformly generators are distributed, the more enhanced synchronization occurs. In the presence of temporal failures of power sources, we observe that spatial uniformity helps the power grid to recover stationarity in a shorter time. We also discuss practical implications of our results in designing the structure of a power-grid network.