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In this letter, a model-order-reduction method for generating piezoelectric compact models is presented. An Arnoldi-based technique is used to create compact models from the system matrices generated by a piezoelectric finite-element solver. The proposed approach also preserves the passivity of the generated compact models. The modeling results of a Rosen-type piezoelectric transformer are presented. The transient and frequency responses of the devices can be accurately simulated by the compact models. Moreover, compared with the full-meshed simulations, the compact models give computational speed-ups of at least two orders of magnitude.