A Systematic Controller Design for a Photovoltaic Generator with Boost Converter Using Integral State Feedback Control
Abstract
In this paper, a systematic controller design for a photovoltaic generator with boost converter using integral state feedback control is proposed. It is demonstrated that the state–space feedback enables the extraction of maximum available power under variable loads. For this purpose, a control-oriented state-space model of a photovoltaic array connected to a DC load by a boost converter is derived. This model is then linearized by one working point, but no further simplifications are made. The design-oriented model contains the dynamics of PV generator, boost converter, and the load. The controller design is based on the augmented model with an integral component. The controller is validated by a detailed plant model implemented in Simscape. The robustness of the controller with variable solar irradiation and DC load changes is demonstrated.
Keywords:
feedback control, boost converter, maximum power point tracking (MPPT), state–space modeling, photovoltaic genera-torDownloads
References
V. Khare, S. Nema, P. Baredar, “Solar–wind hybrid renewable energy system: A review”, Renewable and Sustainable Energy Reviews, Vol. 58, pp. 23-33, 2016 DOI: https://doi.org/10.1016/j.rser.2015.12.223
IRENA, Renewable Energy Technologies: Cost Analysis Series. Solar Photovoltaics, Vol. 1: Power Sector, No. 4/5, IRENA, 2012
Q. Liand, P. Wolfs, “A review of the single-phase photovoltaic module integrated converter topologies with three different DC link configurations”, IEEE Transactions on Power Electronics, Vol. 23, No. 3, pp. 1320-1333, 2008 DOI: https://doi.org/10.1109/TPEL.2008.920883
R. Ingudam, R. Nayak, “Modelling and performance analysis of dc-dc converters for PV grid connected system”, International Journal of Science, Engineering and Technology Research, Vol. 4, No. 5, pp. 1378-1390, 2015
R. Faranda, S. Leva, “Energy comparison of MPPT techniques for PV systems”, WSEAS Transactions on Power Systems, Vol. 3, No. 6, pp. 446-455, 2008
G. Vijay, D. K. Palwalia, “A novel analysis and modeling of boost and buck converter”, International Journal of Electronics, Electrical and Computational System, Vol. 6, No. 3, 2017
I. Anand, S. Senthilkumar, D. Biswas, M. Kaliamoorthy, “Dynamic power management system employing single stage power converter for standalone solar PV applications”, IEEE Transactions on Power Electronics, Vol. 33, No. 12, pp. 10352-10362, 2018 DOI: https://doi.org/10.1109/TPEL.2018.2804658
M. S. Jamri, T. C. Wei, “Modeling and control of a photovoltaic energy system using the state-space averaging technique”, American Journal of Applied Sciences, Vol. 7, No. 5, pp. 682–691, 2010 DOI: https://doi.org/10.3844/ajassp.2010.682.691
S. Jain, V. Agarwal, “A new algorithm for rapid tracking of approximate maximum power point in photovoltaic systems”, IEEE Power Electronics Letters, Vol. 2, No. 1, pp. 16-19, 2004 DOI: https://doi.org/10.1109/LPEL.2004.828444
S. S. Kondawar, U. B. Vaidya, “A comparison of two MPPT techniques for PV system in Matlab Simulink”, International Journal of Engineering Research and Development, Vol. 2, No. 7, pp. 73-79, 2012
M. G. Villalva, E. Rupert F., “Analysis and simulation of the P&O MPPT algorithm using a linearized PV array model”, 35th Annual Conference of IEEE Industrial Electronics, Porto, Portugal, November 3-5, 2009 DOI: https://doi.org/10.1109/IECON.2009.5414780
D. A. Fernandes, M. K. Vieira, M. A. Vitorina, F. F. Costa, P. C. Ribeiro, “Modeling and state-space feedback control of a DC-DC converter for photovoltaic systems”, 2014 IEEE Energy Conversion Congress and Exposition (ECCE), Pittsburgh, USA, September 14-18, 2014 DOI: https://doi.org/10.1109/ECCE.2014.6953525
M. C. Mira, A. Knott, O. C. Thomsen, M. A. E. Andersen, “Boost converter with combined control loop for a stand-alone photovoltaic battery charge system”, 14th Workshop on Control and Modeling for Power Electronics, Salt Lake City, USA, June 23-26, 2013 DOI: https://doi.org/10.1109/COMPEL.2013.6626428
N. Blaire, A. P. Dobos, J. Freeman, T. Neises, M. Wagner, T. Ferguson, P. Gilman, S. Janzou, System Advisor Model, SAM 2014.1.14: General Description, National Renewable Energy Laboratory, 2014 DOI: https://doi.org/10.2172/1126294
https://de.mathworks.com/help/physmod/sps/powersys/ref/pvarray.html
A. R. M. Sahab, M. T. Mirzaee, K. Ghorbany, “The state space average model of boost switching regulator including all of the system uncertainties”, Advanced Materials Research, Vol. 403-408, pp. 3476–3483, 2012 DOI: https://doi.org/10.4028/www.scientific.net/AMR.403-408.3476
C. Cabal, Optimisation energetique de l'etage d'adaptation electronique dedie a la conversion photovoltaique, PhD Thesis, Universite Toulouse III - Paul Sabatier, 2008 (in French)
I. Batarseh, A. Harb, Power Electronics: Circuit Analysis and Design, Springer, 2018 DOI: https://doi.org/10.1007/978-3-319-68366-9
K. Kassmi, M. Hamdaoui, F. Olivie, “Conception et modélisation d’un systeme photovoltaique adapte par une commande MPPT analogique”, Revue des Energies Renouvelables, Vol. 10, No. 4, pp. 451-462, 2007 (in French)
Y. Chen, B. Zhang, Equivalent-small-parameter analysis of DC/DC switched-mode converter, Springer, 2018 DOI: https://doi.org/10.1007/978-981-13-2574-8
G. F. Franklin, J. D. Powell, A. Emami-Naeini, Feedback Control of Dynamic Systems, Addison-Wesley Publishing Company, 2005
Downloads
How to Cite
License
Authors who publish with this journal agree to the following terms:
- Authors retain the copyright and grant the journal the right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) after its publication in ETASR with an acknowledgement of its initial publication in this journal.