Abstract

This paper presents a linearized small signal model of a grid-tied inverter with an LCL filter using two alternative grid synchronisation strategies. The first strategy synchronises using direct measurements of the LCL filter capacitor voltage, while the second approach self-synchronises the inverter to the internal resonant dynamic states of the inner-loop current regulator. A small signal modelling approach is used to aggregate the non-linear state space equations for each inverter control system in a synchronous reference frame. This enables Jacobian linearization to be used to quantify the eigenvalues of the inverter control system. The linearized small signal model is validated against simulation and experimental results, and show that self-synchronisation has a superior stability performance compared to direct measurement.

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