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This paper proposes a complete numerical assessment of a high speed stand-alone generation system based on a current controller and a two-stage matrix converter. Due the system model complexity, represented by different time-constant modules, an evaluation procedure is proposed aiming a reliable simulation operation. In order to consider several simulation conditions, the following modules were evaluated: continuous and discrete current controller models, ideal and non-ideal IGBT models on the matrix converter, input and output filter models. Also, the proposed performance assessment considers several switching frequency values and an indirect evaluation of the error inserted due the lack of synchronization between the main integration algorithm and the firing time step in the IGBT modules. Principles of space vector modulation and strategy switch commutation in matrix converters are reviewed.