Abstract
This paper investigates the effect of wind speed variations on the small-signal stability of doubly-fed induction generator-based wind turbines equipped with modified virtual inertial controllers (MVIC). MVIC is a control scheme that prudentially emulates the inertial response of the conventional synchronous generators for wind turbines in order to improve their frequency control performance. It also enhances the power oscillation damping capability of the power system. In this paper, it is shown that MVIC is robustly stable against wind speed variations. For this purpose, at first, the equivalent system function between the wind speed and the wind turbine rotor speed is obtained. It is shown, then, that this is a first-order transfer function that its pole is a function of the wind speed, wind turbine rotor speed, and the grid frequency deviations. Nonetheless, for operational values of these quantities, this transfer function is robustly stable. Several simulation results with both non-real and real wind speed data are presented to confirm the theoretical analyses of the paper.
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