This paper considers the semi-analytical field calculation of the armature reaction in brushless tubular permanent magnet actuators with rectangular slots. The tubular actuator is considered to have an infinite length and Fourier analysis is used to describe the current density distribution. The field solution is obtained by solving the Maxwell equations in the constant boundary value problem consisting of the airgap and the slot. The results are verified with finite element software, and analysis limitations and inaccuracies are addressed.
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Gysen et al. (2008) studied this question.