Multiphysics Model of Thomson-Coil Actuators With Closed-Form Inductance Formulas and Comprehensive Mechanical Interactions

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.