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This paper introduces simplified closed-form formulas for inductance calculations tailored for cases involving coaxial coils in extreme proximity. These formulas address the challenges associated with inductance calculations in the equivalent-circuit method (ECM) modeling of Thomson-coil actuators (TCAs), offering ultra-fast fault current-breaking capability for DC circuit breakers. The implementation of the ECM model using these closed-form formulas features high efficiency, accessibility, and transferability. Importantly, the present implementation of the multiphysics ECM model integrates comprehensive mechanical interactions, providing a benchmark approach for designing TCAs.
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Sun et al. (2024) studied this question.
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