MATLAB-based Simplified Mathematical Modelling of Non-ideal Differential Mode Inverters

Power electronic converters use multifarious computer-aided software to simulate and analyze the converter dynamics. Simulink is a MATLAB-based graphical programming environment. It is frequently used for modeling, simulation and analysis of dynamic systems. The primary interface of Simulink consists of visual block diagram tools and a collection of customizable block libraries. Simulink provides a dedicated toolbox, "SimPowerSystems" to simulate power electronics converter circuits in a user-friendly manner. However, this paper presents a simplified mathematical model to simulate a power electronic system without using any dedicated toolbox (or library) of MATLAB. The simplified model decomposes the entire inverter system into simpler subsystems based on differential equations. The subsystem’s output can be used as an input for another subsystem. This process is explained with the example of primitive (buck, boost, and buck-boost) converter-based non-ideal differential mode inverters (DMIs). The process avoids the use of discrete semiconductor devices from MATLAB. The performance of the proposed model is compared with the conventional model obtained using the "SimPowerSystems" toolbox. The derived model is implemented with two modulation schemes, continuous modulation scheme (CMS) and discontinuous modulation scheme (DMS).