With the push towards Medium Voltage DC (MVDC) based electrical distribution systems, the power converter(s) between Medium Voltage AC generators and common MVDC buses must handle more power than any other electrical power conversion component in the distribution system. The Modular Multi-Level Converter (MMC) is a compelling topology for this function because of its modular structure and the potential for achieving economies of scale and, hence, lower cost power conversion equipment. It is vital to consider the optimal sizing of all capacitive and magnetic storage elements within the MMC in order to achieve the highest power density and determine its feasibility in the shipboard context. This paper compares different control methods for an MMC rectifier from the aspect of storage requirements.