This paper investigates the effect of nonlinear behavior of filter inductor due to variation of current and temperature on power control performance in droop-controlled microgrids. Output impedance model of inverters with consideration of nonlinear inductor is first derived to analyze the effect of nonlinear inductor on system power control performance. Furthermore, a parameter estimator-based power control strategy is proposed to mitigate the effect and implement desired reactive power sharing under different load and temperature profiles. Simulation results show that the proposed control strategy is able to perform desirable power sharing with a good capability to reject nonlinear characteristic of filter inductor.