English

Dynamic Connectivity and Local Frequency Strength under Stochastic Variations

Systems and Control 2026-03-03 v1 Systems and Control

Abstract

This paper introduces a novel metric, termed the Generalized Fiedler Vector (GFV), to evaluate the \textit{dynamic connectivity} in power systems. The proposed metric leverages the network connectivity, represented by the system Laplacian matrix, together with the nodal inertia distribution, following a formulation previously developed by the first author. By capturing the interplay between system topology and dynamic properties, the GFV provides valuable insights for the optimal siting of stochastic generation to mitigate its impact on local and system-wide frequency variability. The effectiveness of the proposed approach is demonstrated through Monte Carlo simulations performed on the IEEE 68-bus test system.

Keywords

Cite

@article{arxiv.2603.01902,
  title  = {Dynamic Connectivity and Local Frequency Strength under Stochastic Variations},
  author = {Bruno Pinheiro and Daniel Dotta},
  journal= {arXiv preprint arXiv:2603.01902},
  year   = {2026}
}
R2 v1 2026-07-01T10:59:17.382Z