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This paper is concerned with the magnetic modeling of a type of linear variable reluctance motor. The motor under study is a three-phase motor that exhibits strong magnetic coupling between its phases. Two modeling techniques are used: magnetic circuit analysis is emphasized due to its simplicity and computational efficiency; finite element analysis is used primarily to provide accurate benchmark data for comparison. Qualitative agreement between the two modeling techniques is demonstrated.

Abstmcl-This paper explores the design of excitation current profiles for a type of threephase magnetically COUpled linear variable reluctance motor. A model relating force production to air gap geometry is derived using magnetic circuit analysis under an assumption that flux flows across the air gap through tubular paths bounded by straight lines and circular arcs. Constrained Optimization techniques are used for two purposes: first, to determine the motor's continuous force limit corresponding to some given continuous current limit; second, to determine currents that Batisfy the current limits and produce e deslred force with minimum power dissipation. The optimization results indicate that a 6-wire Connection is preferable to a 3-wire connection, and that wide teeth are preferable to narrow teeth, if the goal is to maximize the range of ripple free force.

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