In previous studies, there were few application circuits involving fractional-order mutual-coupling circuits. Therefore, based on the fractional mutual coupling circuit, the Oustaloup rational approximation method is proposed to construct fractional… Click to show full abstract
In previous studies, there were few application circuits involving fractional-order mutual-coupling circuits. Therefore, based on the fractional mutual coupling circuit, the Oustaloup rational approximation method is proposed to construct fractional transformers. Firstly the fractional-order transformer circuit model is derived based on the fractional-order coupled inductor. And the frequency characteristics of the impedance of the fractional-order transformer under open-circuit and load conditions are analyzed. Then different orders of fractional transformers are constructed to verify the rationality of the proposed circuit by simulation. Finally, two fractional-order transformers with different orders constructed, and simulations and experiments show that the constructed circuit has good electrical approximation performance.
               
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