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This paper presents a first assessment of a design method aiming at theminimization of the number of turns $N$ and the air gap length $g$ inferrite-core based low-frequency-current biased AC filter inductors. Severaldesign cases are carried on a specific model of Power Module (PM) core, made ofdistinct ferrite materials and having different kinds of air gap arrangementsThe correspondingly obtained design results are firstly compared with theclassic approach by linearization of the magnetic curve to calculate $N$ andthe use of a fringing factor to determine $g$. Next, a refined design approachof specifying the inductance roll-off at the peak current and its potentiallimitations are discussed with respect to our design method. Finally, thebehaviour of inductors operated beyond their design specifications is analyzed.

On the assessment of an optimized method to determine the number of  turns and the air gap length in ferrite-core low-frequency-current biased  inductors