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The problem of force control is addressed for a type of three-phase linear variable reluctance motor that exhibits strong magnetic coupling between its phases. The force produced is a quadratic function of phase currents with coefficient matrix proportional to the spatial derivatives of inductance. The magnetic coupling leads to a non-diagonal inductance matrix, so all possible products of phase currents are involved in the production of force. Constrained optimization is used to determine phase currents that produce a desired force with minimum power dissipation. The new optimal force controller is shown to be related to an existing force controller that applies to classical synchronous reluctance motors.
Date of Conference: 2002