This paper investigates the application of the axial flux machine (AFM) to the\nwind energy conversion systems (WECS) to obtain high power and torque at\nreduced cost. By developing mathematical equations using the phase and active\ntransformations, the three-phase model is transformed to two-phase equations\nby making both the stator and rotor as reference frames, finally converting\nto arbitrary reference frame, which is useful for the modelling of the\naxial flux machine. The torque, current, and voltage equations are expressed\nto improve the simulation reliability. Based on the developed equations, the\nmathematical model for the axial flux machine is developed using the\nMATLAB/Simulink. Starting with the axial flux motor model, when the load\non the motor increases, how the parameters like torque, current, and speed of\nthe motor vary are explored in this paper. Then for the axial flux generator\nmodel, when the wind speed exceeds the rated speed how the torque, line\nvoltages, currents, power and speed of the generator behave are investigated\nand presented in this paper. The developed model in this paper could be extended\nto a twin-rotor axial flux synchronous machine, which will lead to the\ndevelopment of more efficient WECS.
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