Parameter extraction for the extended cantilever model of magnetic component windings

The extended cantilever model (ECM) for transformer or inductor windings is convenient from the parameter extraction standpoint since, theoretically, each model parameter can be extracted from a single measurement of an open-circuit voltage or a short-circuit current. The impedance of the sensor used to measure a short-circuit current, however, makes the "short" less ideal, and it has been believed that each parameter in the ECM cannot be directly measured unless the impedance of the current sensor is negligible. It is shown that as long as the ECM parameters are reactive (inductive or capacitive) and the current sensor resistive, the current-sense resistance does not have to be restrictively small for the ECM parameters to be directly measurable. A linear, broadband formulation is also presented for extraction of the model admittances using current sensors with significant impedances.