Contraction Analysis for a MMC Converter

One of the present barriers to the widespread use of Modular Multilevel Converters (MMC) is the complexity of its control. We use a suitable degree of simplifications of the MMC converters, under given conditions, to allow system level studies over potentially large networks. The analysis is based on a recently proposed simplified model of the MMC. Based on this model, we propose an analysis using the theory of Contraction to define some stability conditions. Some simulation results allow to see the advantages of the proposed method.