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Distinguished from the previous virtual synchronous generator (VSG) using the power equation of the three-phase voltage-source inverter (VSI) as the swing equation, this brief considers a new VSG that utilizes the voltage equation of the dc-link capacitor of the three-phase VSI as the swing equation, which reflects directly the dynamics of the rotor of the synchronous generator compared to the previous power one. A novel control strategy for the new VSG is derived by comparing the ac-side voltage equations of the three-phase VSI with the stator voltage ones of the permanent-magnet synchronous generator. The swing equation and the ac-side voltage equations of the controlled three-phase VSI together constitute the complete model of the new VSG, which is further transformed into a super-Lorenz chaotic model by applying an affine transformation and a time-scaling transformation. The condition for the appearance of the Lorenz-like chaotic attractor in the super-Lorenz model is discussed. With variation of the bifurcation parameter, the chaos phenomenon appears and it devastates the stability of the inverter and the grid.
Wang et al. (Tue,) studied this question.
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