Abstarct: Power control in islanded microgrids including inverter baxsed distributed generations is a challenging issue due to the inaccessibility to the main grid as well as the low inertia of the inverters. The control system should maintain the power balance between the distributed generations and the loads. Simultaneously it should keep the frequency and the voltage within the permissible ranges. In this thesis, the idea of virtual flux is used as the time integral of the voltage and consequently, the virtual flux droop technique is employed. One of the disadvantages of the droop control method is power sharing error in the case of mismatched line impedances. Thus, an improved control strategy baxsed on the virtual flux droop technique is proposed which led to an accurate power sharing proportional to the ratings of the inverters in the case of the mismatched line impedances. Moreover, the power control baxsed on the idea of the virtual flux droop technique has not yet been developed for the islanded microgrids with highly resistive line impedances, which is proposed in this thesis. This proposed power control scheme is baxsed on a novel virtual flux droop technique for controlling power sharing. In addition, the model predictive flux control is developed for controlling the power electronics converters. Accurate power sharing proportional to the ratings of the inverters, improved frequency and voltage control are the advantages of the proposed control strategy. In this thesis, a novel method baxsed on the direct flux fuzzy control and an optimization duty cycle technique for controlling the power electronics converters is also proposed which allows a more accurate selection of the switching vectors. Therefore, the power control performance is improved and the power sharing is applied proportional to the ratings of the distributed generations. Also, the voltage control is improved. The proposed control strategies are simulated in the environment of the Matlab/Simulixnk software. In addition, the proposed microgrid control strategy baxsed on the improved virtual flux droop control is implemented in the laboratory in the case of the mismatched line impedances. The effectiveness of the proposed control schemes is evaluated by analyzing the related results and comparing them with the conventional control strategy of the microgrid.