Finding the small signal mathematical model of the Zeta dc/dc converter in symbolic form PWM-switch model approach with peak currentmode controlled Zeta dc/dc converter Comparison of the theoretical model with simulation and prototype circuit resultsIn this study, dynamic analysis of non-isolated Zeta converter has been presented with peak current-mode (PCM) control in continuous conduction mode utilizing the PWM-switch model. While small signal analysis of Zeta converter has been reported in the literature with constant frequency voltage-mode control, its small signal analysis with PCM control has not been reported. The transfer function from control input to output voltage was derived in symbolic form considering the esr of the output capacitor. Figure A. Dynamic model derivation and verification process of Zeta dc-dc converter Purpose: The essential aim is to achieve small signal model of non-isolated Zeta converter with PCM control. Theory and Methods:First, non-isolated Zeta converter topology is adapted to analyze with the PWM-switch model. Using linear circuit analysis, and dc and ac equivalents of PWM-switch model, its fifth order small signal model is achieved for PCM control structure. The analysis was verified by PSIM simulations and real measurements taken from an experimental prototype circuit built. Results:The results were in good agreement up to half the switching frequency of the converter. The comparisons in terms of absolute mean error show that the overall magnitude and phase difference between the Bode plots of analysis and simulations is 0.895(dB) and 4.613(°). On the other hand, the gap between measurements and analysis is calculated as 1.746(dB) for the magnitude and 18.872(°) for the phase values on average. Conclusion:While the analysis and PSIM simulation results are in very good agreement, the analysis and measured results agree reasonably well. For simplicity, dc resistances of other components in the Zeta converter except the esr of output capacitor have been omitted in the mathematical analysis. The analysis and measured results would even be closer if these resistances were considered in the analysis.
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