Three-dimensional Analytical Model for Axial-Flux Eddy-Current Couplings and Brakes under Steady-State Conditions

Thierry Lubin (1) , Abderrezak Rezzoug (1)

1 GREEN - Groupe de Recherche en Electrotechnique et Electronique de Nancy

This paper presents a three-dimensional (3-D) analytical model for axial-flux eddy-current couplings and brakes, leading to closed-form expressions for the torque and the axial force. The proposed model is valid under steady-state condition (constant speed operation). It takes into account the reaction field due to induced currents in the moving conducting part. In order to simplify the analysis, we adopt the assumption of linearization at the mean radius, the problem is then solved in 3-D Cartesian coordinates (curvature effects are neglected). The solution is obtained by solving the Maxwell equations with a magnetic scalar potential formulation in the non conductive regions (magnets, air-gap), and a magnetic field strength formulation in the conductive region (copper). Magnetic field distribution, axial force, and torque computed with the 3-D analytical model are compared with those obtained from 3-D finite elements simulations and experimental results.

Mots clés: Analytical model; Eddy-current; Moving conductor; Three-dimensional model; Torque

Domaines: Energie électrique; Electromagnétisme

Thierry Lubin, Abderrezak Rezzoug. Three-dimensional Analytical Model for Axial-Flux Eddy-Current Couplings and Brakes under Steady-State Conditions. IEEE Transactions on Magnetics, 2015, 51 (10), pp.12, id. 8203712. ⟨10.1109/TMAG.2015.2455955⟩. ⟨hal-01175714⟩