This study’s goal is to give a mathematical framework for looking into how fractional order changes the doubly fed induction generator model’s stability as its internal tuning parameters change. The stability of the unique equilibrium point is explored. The three-step predictor–corrector approach is used to solve the nonlinear system in the Caputo sense. The efficiency and applicability of the approach are validated by performing numerical simulations with distinct fractional orders and tuning parameters. Upon conducting a comparative analysis between integer-order and fractional-order parameter values, we discern that the fractional-order system exhibits a more larger region of stability in comparison to the integer-order scenario.