On a circuit theory approach to evaluate the stray capacitances of two coupled inductors

This paper provides a method for evaluating three lumped equivalent capacitances which take into account the physical effects of stray capacitances in two coupled inductors. Capacitance evaluation is performed in two steps: (i) initially, the resistance and leakage inductance of each winding, together with the magnetic core equivalent impedance, are evaluated by means of discrete parameter estimation; (ii) successively, the three equivalent capacitances are evaluated by resolving a linear set of three algebraical equations after the natural oscillation frequencies of the two coupled inductors in experimental tests are determined. The paper provides both the definitions and the mathematical theory on which the method is based. The actual response of two coupled inductors was compared with the response of the identified model; tests showed a good correlation between them