Analysis of Higher Dimensional Converter Using Graphical Approach

The main intention of this paper is to propose a methodology for deriving a reduced-order model from a complex n-dimensional system. The mathematical model for voltage-lift based quadratic high gain dc-dc converter with a reduced-order model in continuous conduction mode (CCM) is proposed. The chosen topology amalgamates voltage-lift cells with a quadratic boost topology to obtain improved voltage gain. The operating principle of the configuration with steady-state analysis is discussed in CCM. The open-loop performance is obtained by the state-space averaging procedure and switching flow graph (SFG) to design a suitable controller for the converter. To reduce the state variables and to simplify the modelling, reduced-order modelling is carried out for the topology. Additionally, the pole clustering method minimizes the converter’s order. The impact of parameter variation with the pole-zero location is discussed elaborately. The proportional and integral time constant of the PI controller is attained by the Ziegler-Nicholas tuning technique. The closed-loop response presents better step response output than the open-loop response. Time-domain parameters are compared for open-loop and closed-loop to validate the controller. Lastly, a 50 W prototype is used for evaluating the converter’s ability at steady state.