Brayton-Moser Modeling of Solid State Transformer

The approach of energy balancing control is disturbed by the presence of extensive dissipation. To overcome this problem in electrical circuits the alternative paradigm of power shaping is proposed. As suggested by its name, stabilization is achieved by shaping a function called power function instead of the energy function. The paper extends this technique to general nonlinear systems and applies it for the stabilization of power converters. It presents an alternative framework for a practically relevant class of nonlinear systems. The formalism is based on a generalization of Brayton-Moser mixed-potential function. Instead of focusing on the usual energy-balance, the models are constructed using the power flowing through the system. The main objective is to put forth the mixed-potential function as a new building block for modeling and analysis of the switched systems. The theory is exemplified using solid state transformer (SST).