A flexible dynamic behavior model of inductors to link time domain simulation with empirical loss equations that is instantaneous dB/dt and B(t) dependent for SPICE simulation

Abstract

A flexible dynamic behavior inductor circuit model that links the time domain simulation with dB/dt and B(t) dependent empirical loss equations is proposed. For the first time, this model automatically detects dB/dt and B(t) and calculates the dynamic resistance value for a resistor that is put in parallel with an inductor whose inductance is also calculated according to its dependency on B(t) and operating frequency, all in a time domain. This circuit model is flexible since one can change the loss formula easily by replacing a “resistor” expression of an ABM (Analog Behavior Model) in the circuit. The circuit model is verified both with sinusoidal and square wave excitations at different frequencies and different excitation levels. The simulated power loss data are compared with experimental data. It shows an excellent match for all the three types of empirical equations tested in this inductor circuit model. However, the impedance behavior is found to be dependent on empirical loss equations. This proposed model is useful for circuit designs that use inductors.