The quadratic boost is studied under its real model. The equations, of the continuous conduction mode, descriptive of this model are established. From these equations, the expressions of the voltage gain and the efficiency are extracted. These two quantities are plotted as a function of the duty cycle in order to appreciate them in different operating points of the transistor. The values of the different components have also been extracted for the fabrication of a prototype of the converter. Thanks to a set of experimental measurements at the input as well as at the output of the prototype converter, the voltage gain and the efficiency could also be observed. These were also plotted for different loads to observe converter behavior. The theoretical curves were compared with the experimental curves which allowed to validate the proposed mathematical models on a large range of duty cycles.
References
[1]
Vorperian, V. and Cuk, S. (1983) Small Signal Analysis of Resonant Converters. 1983 IEEE Power Electronics Specialists Conference, Albuquerque, 6-9 June 1983, 269-282. https://doi.org/10.1109/pesc.1983.7069866
[2]
Vorperian, V., Tymerski, R. and Lee, F.C.Y. (1989) Equivalent Circuit Models for Resonant and PWM Switches. IEEE Transactions on Power Electronics, 4, 205-214. https://doi.org/10.1109/63.24905
[3]
Vorperian, V. (1990) Simplified Analysis of PWM Converters Using Model of PWM Switch. Continuous Conduction Mode. IEEE Transactions on Aerospace and Electronic Systems, 26, 490-496. https://doi.org/10.1109/7.106126
[4]
Oliver, J.A., Cobos, J.A., Uceda, J., Rascon, M. and Quinones, C. (2000) Systematic Approach for Developing Large-Signal Averaged Models of Multi-Output PWM Converters. In Proceedings of the IEEE Power Electronics Specialists Conference, Galway, 23 June 2000, 696-701.
[5]
Lopez-Santos, O. (2015) Contribution à l’étude de la conversion DC-AC dans des systèmes photovoltaïques: Convertisseurs orientés au module PV. Automatique/Robotique. Institut National des Sciences Appliquées de Toulouse (INSA Toulouse).
[6]
Surya, P.B. and Ramprasath, M.S. (2018) Mathematical Modelling and Performance Analysis of Quadratic Boost Converter. International Journal of Scientific & Engineering Research, 9, 190-196.
[7]
Tanmoy, R.C. and Byamakesh, N. (2015) Comparison and Analysis of Cascaded and Quadratic Boost Converter. 2015 IEEE Power, Communication and Information Technology Conference (PCITC), Bhubaneswar, 15-17 October 2015, 78-83.
[8]
García-Vite, P.M., Soriano-Rangel, C.A., Rosas-Caro, J.C. and Mancilla-David, F. (2017) A DC–DC Converter with Quadratic Gain and Input Current Ripple Cancelation at a Selectable Duty Cycle. Renewable Energy, 101, 431-436. https://doi.org/10.1016/j.renene.2016.09.010
[9]
Durán, E., Andújar, J.M., Segura, F. and Barragán, A.J. (2011) A High-Flexibility DC Load for Fuel Cell and Solar Arrays Power Sources Based on DC–DC Converters. Applied Energy, 88, 1690-1702. https://doi.org/10.1016/j.apenergy.2010.11.002
[10]
Tattiwong, K. and Bunlaksananusorn, C. (2014) Analysis Design and Experimental Verification of a Quadratic Boost Converter. TENCON 2014—2014 IEEE Region 10 Conference, Bangkok, 22-25 October 2014, 1-6. https://doi.org/10.1109/tencon.2014.7022467
[11]
Lascu, D., Lascu, M., Lie, I. and Tanase, M. (2006) A New Quadratic Boost Converter with PFC Applications. Proceedings of the 10th WSEAS International Conference on Circuits, Vouliagmeni, 10-12 July 2006, 223-228.
[12]
Kadri, R., Gaubert, J., Champenois, G. and Mostefai, M. (2010) Performance Analysis of Transformless Single Switch Quadratic Boost Converter for Grid Connected Photovoltaic Systems. The XIX International Conference on Electrical Machines—ICEM 2010, Rome, 6-8 September 2010, 1-7. https://doi.org/10.1109/icelmach.2010.5608092
[13]
Lopez-Santos, O. (2015) Contribution to the DC-AC Conversion in Photovoltaic Systems: Module Oriented Converters. Master’s Thesis, Université de Toulouse.
[14]
Badiane, M., Honadia, P.A.A. and Barro, F.I. (2021) Theoretical and Experimental Analysis of a Boost Converter. Journal de Physique de la SOAPHYS, 2, C20A28-1-C20A28-9. https://doi.org/10.46411/jpsoaphys.2020.02.28
[15]
Badiane, M., Honadia, P.A.A., Zouma, B. and Barro, F.I. (2021) Quadratic Boost Converter: An Analysis with Passive Components Losses. Open Journal of Applied Sciences, 11, 202-215. https://doi.org/10.4236/ojapps.2021.112014