Category: Physics

Summary: Finding the support gain where a bridge-localized reactive mode in an islanded microgrid disappears before full small-signal stability is necessarily restored.

Islanded microgrids can be stable in the long run while still showing dangerous short-lived amplification after a disturbance. This experiment asks how much fast support must be concentrated on bridge-like islands before a localized reactive mode that spans weak inter-island links is suppressed.

The model constructs dense symmetric swing reactivity operators for modular inverter-dominated microgrids with tunable support, damping, and coupling. It then uses GPU eigensolves with iterative deepening and bisection to identify the support level where the positive bridge-focused mode vanishes.

That makes the target more specific than ordinary eigenvalue stability analysis. The experiment is designed to reveal when carefully placed support removes the most dangerous transient pattern even if the system is still near broader instability boundaries.

Method: GPU dense symmetric eigensolve with iterative deepening and bisection on support gain in modular microgrid swing reactivity operators.

What is measured: Critical support threshold, bridge-mode mass, positive-reactivity onset or suppression, system size reached, and bracket width.