Integrated current-energy modeling and control for modular multilevel matrix converter

This paper presents a layered and structured analytical method to develop the state-space model of a modular multilevel matrix converter (M3C) system. This method firstly divides the modeling task into the current modeling layer and the energy modeling layer and then decomposes each layer to the corresponding terminal and internal dynamics. The terminal currents of an M3C are applied to control the terminal power and the sum branch energy, while the generally-defined circulating currents (CC) inside the M3C are manipulated to realize the internal branch energy balancing (IBEB). A multivariable controller is designed based on the obtained mathematical model and then verified by a hybrid switched M3C model established in Simulink/SimPowerSystems.