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access icon free Two-dimensional analytical investigation of the parameters and the effects of magnetisation patterns on the performance of coaxial magnetic gears

© The Institution of Engineering and Technology
Received 30/10/2016, Accepted 20/03/2017, Revised 08/03/2017, Published 21/03/2017

In this study, a two-dimensional analytical model has been presented for coaxial magnetic gears. Based on Maxwell's equations the extracted model has been obtained via the solution of the Laplace and Poisson equations by using the separation of variable technique for each sub-region (internal and external magnets, internal and external air gaps and slots). Then the integral coefficients of the general solutions have been obtained by using the boundary conditions and continuity between sub-regions. The proposed analytical model can be used as a tool for design and optimisation of magnetic gears. The influences of the number of pole-pairs, the magnetisation patterns, the size of slot-opening and the segment ratio of the two-segment Halbach pattern on the transmitted torque and unbalanced magnetic forces have been analytically investigated. Finally, to illustrate the efficacy of the proposed model, the analytical results of the magnetic field distribution, transmitted torque and unbalanced magnetic force have been compared with those obtained from finite element analyses.

Inspec keywords: magnetic gears; magnetisation; Maxwell equations; Poisson equation; Laplace equations

Other keywords: finite element analysis; Maxwell equations; separation of variable technique; coaxial magnetic gear performance; integral coefficients; two-segment Halbach pattern; magnetic field distribution; boundary conditions; Poisson equations; two-dimensional analytical model; slot-opening size; segment ratio; unbalanced magnetic forces; Laplace equations; magnetisation pattern effect; magnetic gear optimization; pole-pair number; transmitted torque

Subjects: Other magnetic material applications and devices; Differential equations (numerical analysis)

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