The unbalanced reciprocating force due to armature reaction field decreases the advantage of moving coil LOA, such as a high degree of linearity and controllability in the force and motion control. This paper firstly describes the coil inductance, the deviation of flux density, and the unbalanced reciprocation force, which are derived from the permeance model of motor. Secondly, the analytical method is verified using 2D finite element method and tests. Finally, the dynamic simulation algorithm considering the armature reaction and variable inductance is proposed and confirmed through the experiments.
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Jang et al. (2001) studied this question.