Uncovering the Kuramoto Model from Full-order Models of Grid-forming Inverter-based Power Networks

This paper presents parametric assumptions under which the classical Kuramoto model can be uncovered from full-order models of an interconnected group of gridforming inverters based on droop control, virtual synchronous machine control and/or dispatchable virtual oscillator control. The equivalence is established with reduced-order models that are derived by leveraging singular-perturbation analysis, timedomain Kron reduction of the network dynamics, and a particular control configuration that is based on the inductance-toresistance ratio of interconnecting transmission lines. Numerical results compare the phase and frequency response of the fullorder model and the reduced-order Kuramoto model.