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Modularized Bridge Rectifier (mBR) is a promising solid-state transformer (SST) topology that replaces active front-end stages with diodes and utilizes multiple isolated DC/DC converters. This paper investigates magnetic integration schemes to mitigate the oversizing issue in mBR designs, which arises from the intermittent operation of DC/DC converters. By exploring different integration levels-branch, leg, and phase-this work provides a detailed comparison of their impact on component count, power rating, and manufacturing complexity. Simulation results demonstrate that the appropriate integration method can reduce the power capacity requirement of magnetic components and secondary-side circuits by 50%.