In this paper, the second-order differential equation of double-fed induction generator(DFIG) in complex field is established based on the fifth-order model of the DFIG, considering the stator and the rotor transients as well as the Thevenin equivalent circuit of the external system. Then, the approximate analytical solutions to the free responses of the flux and current and the corresponding approximate time constants formula are obtained. Furthermore, the verification approach for the proposed approximati...
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