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The brushless slip power recovery Homopolar machine (BSPRHM) is expected to be the dominant wind energy generator. The BSPRHM is one of few machines that are able to provide output voltage of constant frequency regardless of the shaft speed. The field current frequency is the control parameter which helps regulating the output voltage. The inductance matrix is the base stone of the classical machine modeling. As the inductance matrix of the BSPRHM has not been yet identified in any of the published lectures, this work aims to derive the mathematical expression for the BSPRHM inductance matrix. Then a prototype of the BSPRHM is built and the values of its inductance matrix elements are determined through practical experiment. Finally, the evaluated inductance matrix is verified by utilized it together with the classical machine mathematical model and a simulation software to estimate one of the variable in the relation between the BSPRHM armature frequency, field frequency and rotor speed while the other two variables are known. A comparison is carried out among the theoretical, simulation and practical results to prove the accuracy of the proposed BSPRHM inductance matrix.

Dynamic Modeling of the Brushless Slip Power Recovery Homopolar Machine