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Feasibility of reduced order modelling of Z-source impedance network: Applications for switching power converter designs

Regarding the great advantages of impedance source converter topologies, research trends based on conventional Z-source inverter (ZSI) are much more interesting. However, it is very complicated because such a model is forth-order system. The higher order model remains a large obstacle for switching power converter design of various applications. This paper investigates the feasibility of reduced order modelling of Z-source impedance network. The PWM switch technique is used for finding the small-signal model of ZSI. Therefore, the interested transfer function of ZSI can be found easily. Step by step of reduced order modelling method is also described. The proposed method uses the concept of neglected pole that responds faster than the dominant pole five or more times. Based on this, the ZSI system can be considered as a second order transfer function which is very helpful for power switching converter designs. Bode diagrams of the full order and reduced order system are plotted and compared to verify the proposed method. Moreover, the dependable range of frequency is illustrated since the non-minimum phase property of ZSI. Simulation results show the proposed method is satisfied and also makes sense in a range of frequency in applications for power switching converter designs.