An Analytical Formulation for Mapping the Spatial Distribution of Nodal Inertia in Power Systems

Mapping the spatial distribution of nodal inertia is crucial for helping system operators identify locational frequency stability issues in power operation planning process. Currently, index-based methods cannot retrieve values all load buses. To do so, this paper proposes an accurate analytical formulation relying only on steady-state parameters to determine and, thus, map inertia. The performance and reproducibility proposed are evaluated using three test systems: a 5-bus radial with two synchronous generators, multimachine IEEE 68-bus benchmark system, larger NPCC 140-bus system. We validate time-domain simulations numerical estimations. In addition, we compare our method against indexes presented literature. results indicate that adequately quantifies value buses, low computational cost, providing suitable tool analysis.