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The aim of this work is to present an accurate analytical model of a double-sided air-core linear permanent-magnet motor with segmented permanent-magnet poles. The thrust average as well as thrust ripple is precisely predicted by proposed model. Back-electromotive force and flux density distribution of the motor are also determined by this method. The finite-element method is then chosen to verify the modeling results. Finally, pole dimensions are optimized using the proposed model and the genetic algorithm, where thrust mean and thrust ripple are considered as the optimization aims. This model provides the analytical framework for design optimization of double-sided air-core permanent-magnet linear synchronous motors with segmented poles regarding more motor parameters and objectives.