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The Z-source inverter is a recently proposed converter topology that uses a unique X-shaped impedance network on its dc side for achieving both voltage-buck and boost capabilities. In the process of designing control schemes for the Z-source inverter, knowledge of the transfer function representing its unique dc impedance network is essential. Toward this end, this letter presents dynamic small-signal modeling of the Z-source impedance network using perturbed mathematical analysis and a signal-flow graph with parasitic components taken into consideration. In particular, the developed average control-to-output model reveals the presence of a right-hand-plane zero in the network transfer function, whose trajectories with variations in network parameters can be studied using classical root-locus analyses. Using the graphical signal-flow modeling approach, various disturbance-to-output transfer functions can also be derived with their parameter sensitivity similarly studied. Lastly, simulation and experimental results are presented for verifying the dynamic phenomena identified in this letter.
Date of Publication: Sept. 2005