Fractional Order Control of Multilevel Boost Converter for Photovoltoic System

V. Anil Kumar*, M. Arounassalame **
*-** Department of Electrical and Electronics Engineering, Pondicherry Engineering College, Pondicherry, India.
Periodicity:January - March'2020


This paper presents a novel control scheme based on the fractional order PI controller for a high gain multilevel boost converter. Non-conventional energy resources such as solar PV cells produce DC output voltages, which are continuously change with weather conditions. It is necessary to obtain a constant DC voltage from such systems to use them for battery charging applications. The voltage gain obtained using the traditional boost converter is very limited. Switched capacitor circuit can act as a multiplier circuit and can be combined with boost converters to increase the gain. Even though the output voltage from this converter meets the requirement of high output voltage, but heavy fluctuations in the solar energy makes this system inefficient to use for battery charging applications where a constant DC voltage is required. In this paper, a control scheme is proposed for this high gain multilevel boost converter circuit using Fractional Order PI (FOPI) controller. Modeling of the high gain boost converter is required for the design of fractional order controller. A reduced order model is developed for the high gain DC-DC converter and the transfer function is obtained from this. The parameters of the FOPI controller are designed using the fractional order toolbox FOMCON. The performance of the proposed converter is compared with the conventional PI controller and the superiority of the proposed converter was proved in terms of bench mark performance measures. The simulation was carried out in MATLAB/SIMULINK and the fractional order toolbox FOMCON is used to design and simulate the FOPI controller.


Multilevel Boost Converter, Small Signal Modeling, Fractional Order Controller, FOMCON Tool Box.

How to Cite this Article?

Kumar, V. A., & Arounassalame, M. (2020). Fractional Order Control of Multilevel Boost Converter for Photovoltoic System, i-manager's Journal on Electrical Engineering, 13(3), 16-23.


[1]. Aleksei, T., Eduard, P., & Juri, B. (2012, July). A flexible MATLAB tool for optimal fractional-order PID controller design subject to specifications. In Proceedings of the 31st Chinese Control Conference (pp. 4698-4703). IEEE.
[2]. Bulla, L., & Nattarasu, V. (2016). Comparison of different control techniques for three level DC-DC boost converter. International Research Journal of Engineering and Technology (IRJET), 3(7), 483-488.
[3]. Chen, Y., Petras, I., & Xue, D. (2009, June). Fractional order control-a tutorial. In 2009 American Control Conference (pp. 1397-1411). IEEE. 109/ACC.2009.5160719
[4]. Kasper, M., Bortis, D., & Kolar, J. W. (2013). Classification and comparative evaluation of PV panelintegrated DC–DC converter concepts. IEEE Transactions on Power Electronics, 29(5), 2511-2526. 10.1109/TPEL.2013.2273399
[5]. Mayo-Maldonado, J. C., Rosas-Caro, J. C., Salas- Cabrera, R., González-Rodriguez, A., Ruíz-Martínez, O. F., Castillo-Gutiérrez, R., Castillo-Ibarra, J. R.,& Cisneros- Villegas, H. (2010, February). State space modeling and control of the dc-dc multilevel boost converter. In 2010 20th International Conference on Electronics Communications and Computers (CONIELECOMP) (pp. 232-236). IEEE. 10.5440763
[6]. Mayo-Maldonado, J. C., Salas-Cabrera, R., Rosas- Caro, J. C., De Leon-Morales, J., & Salas-Cabrera, E. N. (2011). Modelling and control of a DC–DC multilevel boost converter. IET Power Electronics, 4(6), 693-700.
[7]. Ramu, G., Nagesh Kumar, G. V., & Dharma Raj, C. H. (2016). Performance analysis of boost fed DC drive under load uncertainties. Indian Journal of Science and Technology, 9(45), 1-11. 2F2016%2Fv9i45%2F103878
[8]. Ren, H. P., Fan, J. T., & Kaynak, O. (2018). Optimal design of a fractional-order proportional-integerdifferential controller for a pneumatic position servo system. IEEE Transactions on Industrial Electronics, 66(8), 6220-6229.
[9]. Rosas-Caro, J. C., Ramirez, J. M., Peng, F. Z., & Valderrabano, A. (2010). A DC–DC multilevel boost converter. IET Power Electronics, 3(1), 129-137.
[10]. Sathya, P., & Natarajan, R. (2013). Design and implementation of 12V/24V closed loop boost converter for solar powered LED lighting system. International Journal of Engineering and Technology (IJET), 5(1), 254-264.
[11]. Sharma, P., Kumar, P., Sharma, H., & Pal, N. (2018). Closed loop controlled boost converter using a PID controller for solar wind power system installation. International Journal of Engineering & Technology, 7(2.8), 255-260.
[12]. Singh, S. N. (2017). Selection of non-isolated DC-DC converters for solar photovoltaic system. Renewable and Sustainable Energy Reviews, 76, 1230-1247. https://
[13]. Talati, J. (2014). Design and simulation of closed loop boost converter for voltage regulation of PV system. National Conference On Emerging Trends In Computer & Electrical Engineering (ETCEE). 23456789/1981
[14]. Tepljakov, A., Petlenkov, E., & Belikov, J. (2011). FOMCOM: A MATLAB toolbox for fractional-order system identification and control. International Journal of Microelectronics and computer science, 2(2), 51-62.
[15]. Villarruel-Parra, A., & Forsyth, A. J. (2016). Enhanced average-value modeling of interleaved DC–DC converters using sampler decomposition. IEEE Transactions on Power Electronics, 32(3), 2290-2299. TPEL.2016.2559449
If you have access to this article please login to view the article or kindly login to purchase the article

Purchase Instant Access

Single Article

North Americas,UK,
Middle East,Europe
India Rest of world
Pdf 35 35 200 20
Online 35 35 200 15
Pdf & Online 35 35 400 25

Options for accessing this content:
  • If you would like institutional access to this content, please recommend the title to your librarian.
    Library Recommendation Form
  • If you already have i-manager's user account: Login above and proceed to purchase the article.
  • New Users: Please register, then proceed to purchase the article.