A comparative study on SSA and SFG based dynamic model of Quadratic Boost converter for renewable energy system

DC-DC converter occupies most of the recent power supply unit. Researchers concentrate on analyzing the steady-state and dynamic model of the converter. The State-Space Averaging (SSA) and Switching Flow Graph (SFG) modeling methods are evaluated for the quadratic boost converter. These methods are evaluated by mathematical computation and derivation of transfer functions. Computation of transfer functions by state-space averaging requires tedious matrix operations. However, the switching flow graph modeling method requires a simple signal flow graph of the converter which can be used to derive the transfer functions using mason's gain formula. Reviews of both the methods are offered with complete theoretical derivation for quadratic boost DC-DC converter. Simulation of the quadratic boost converter is carried out with Tina software and the results are presented. In addition to that, stability study and controller design are carried out in MATLAB to validate the theoretical results. Additionally, a 40 W prototype is designed to analyze and validate the performance of quadratic boost converter.