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This article presents the design and numerical study of a high-power maser based on a 2D periodic structure and operating in the W-band (75-110 GHz) frequency range. The maser is capable of generating spatially and temporally coherent radiation wherein a 2D periodic structure is used to provide the distributed feedback and synchronize the radiation. The periodic lattice also acts as a slow wave structure that ensures the effective interaction between the radiation and annular electron beam. Numerical studies demonstrate single-frequency operation of the Cherenkov maser driven by the oversized annular electron beam.