The mathematical model of reflected reactance supplied by voltage source is established to deeply analyze the coupling
characteristic and power transfer characteristic of a contactless transformer used in angle sensor. Firstly, the molding
method is studied based on the structure feature of contactless transformers with pot core. Then, the primary and
secondary equivalent circuits of a transformer supplied by voltage source are obtained by using the mutual inductance
model with contactless electromagnetic coupling structure. On the basis of which, the mathematical model of reflected
reactance is derived, and the expressions of some characteristics parameters, such as voltage gain and output power, are
obtained. Finally, the prototype of a contactless transformer is made according to the design parameters calculated by
means of the finite element model. The experiment shows that the mathematical model can be used to accurately analyze
the coupling characteristics and power transfer characteristics of contactless transformers.
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