Abstract
The low-frequency dynamics of virtual synchronous machine (VSM) depends on multiple factors. In this study, the oscillation mode of a single VSM is first identified by exploring the evolution of oscillation from synchronous mode to sub-synchronous mode with the variation of structure and parameters. The inter-oscillation modes among multiple VSMs modelled in quasi-state phasor domain are then studied by decomposing into mean motion and relative motion. Inspired by and weak-coupling-based coherency identification, the associated VSM group can be fast identified and used for effective stabilizer location. The approximate eigenvalues can be fast obtained by system decomposition in uniform-damping scenarios or by extended-equal-area-criterion approach in non-uniform-damping scenario. An improved design for lead-lag compensation is proposed to damp both synchronous and sub-synchronous oscillation of VSMs. Effectiveness of the proposed control strategy in grid-connected/islanded mode is verified with real-time simulation.
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