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Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


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  4/2011 - 15

 HIGH-IMPACT PAPER 

Application of the Filippov Method for the Stability Analysis of a Photovoltaic System

MOREL, C. See more information about MOREL, C. on SCOPUS See more information about MOREL, C. on IEEExplore See more information about MOREL, C. on Web of Science, PETREUS, D. See more information about  PETREUS, D. on SCOPUS See more information about  PETREUS, D. on SCOPUS See more information about PETREUS, D. on Web of Science, RUSU, A. See more information about RUSU, A. on SCOPUS See more information about RUSU, A. on SCOPUS See more information about RUSU, A. on Web of Science
 
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Download PDF pdficon (1,364 KB) | Citation | Downloads: 1,819 | Views: 4,517

Author keywords
photovoltaic systems, dc-dc power converters, nonlinear dynamical systems, bifurcation, chaos, monodromy matrix, saltation matrix

References keywords
power(7), tracking(6), solar(6), point(6), photovoltaic(6), morel(5), maximum(5), energy(5), systems(4)
Blue keywords are present in both the references section and the paper title.

About this article
Date of Publication: 2011-11-30
Volume 11, Issue 4, Year 2011, On page(s): 93 - 98
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2011.04015
Web of Science Accession Number: 000297764500015
SCOPUS ID: 84856619753

Abstract
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This paper describes bifurcation phenomena of a photovoltaic system. The studied photovoltaic (PV) system includes a solar panel, a boost converter, a maximum power point tracking (MPPT) controller and a storage device. Computer simulations are performed to capture the effects of variation of some chosen parameters on the qualitative behavior of the system. The impact of the maximum power point (MPP) current and voltage variations due to luminosity changes is determinate, as well as the load variation. The stability of the system is analyzed using the state transition matrix over one switching cycle (the monodromy matrix) including the state transition matrices during each switching (the saltation matrices). This investigation is important to predict nonlinear phenomena and for the components dimensioning for a proper functioning.


References | Cited By  «-- Click to see who has cited this paper

[1] W. Xiao, N. Ozog, and W. G. Dunford, "Topology Study of Photovoltaic Interface for Maximum Power Point Tracking", IEEE Transactions on Industrial Electronics, vol. 54, no. 3, pp. 1696-1704, 2007.
[CrossRef] [Web of Science Times Cited 370] [SCOPUS Times Cited 527]


[2] M. J. Vasallo Vazquez, J. M. Andujar Marquez, and F. S. Manzano, "A Methodology for Optimizing Stand-Alone PV-System Size Using Parallel-Connected DC/DC Converters", IEEE Transactions on Industrial Electronics, vol. 55, no. 7, pp. 2664-2673, 2008.
[CrossRef] [Web of Science Times Cited 53] [SCOPUS Times Cited 82]


[3] D. Petreus, D. Moga, A. Rusu, T. Patarau, M. Munteanu, "Photovoltaic System with Smart Tracking of the Optimal Working Point", Advances in Electrical and Computer Engineering, vol. 10, no. 3, pp. 40-47, 2010.
[CrossRef] [Full Text] [Web of Science Times Cited 8] [SCOPUS Times Cited 10]


[4] D. Petreus, T. Patarau, S. Daraban, C. Morel, B. Morley, "A Novel Maximum Power Point Tracker Based on Analog and Digital Control Loops", Solar Energy, vol. 85, pp.588-600, 2011.
[CrossRef] [Web of Science Times Cited 29] [SCOPUS Times Cited 35]


[5] V. Salas, E. Olias, A. Barrado, and A. Lazaro, "Review of the maximum power point tracking algorithms for stand-alone photovoltaic systems", Solar Energy Materials and Solar Cells, vol. 90, pp. 1555-1578, 2006.
[CrossRef] [Web of Science Times Cited 764] [SCOPUS Times Cited 1058]


[6] A. Pandey, N. Dasgupta and A. K. Mukerjee, "High-Performance Algorithms for Drift Avoidance and Fast Tracking in Solar MPPT System", IEEE Transactions on Energy Conversion, vol. 23, no. 2, 2008.
[CrossRef] [Web of Science Times Cited 208] [SCOPUS Times Cited 278]


[7] T. Esram, P. L. Chapman, "Comparison of Photovoltaic Array Maximum Power Point Tracking Techniques", IEEE Transactions on Energy Conversion, vol. 22, no. 2, pp. 439 - 449, 2007.
[CrossRef] [Web of Science Times Cited 3178] [SCOPUS Times Cited 4411]


[8] Z. Wujian, L. Qiuhua et al, "Survey of Maximum Power Point Tracking Techniques for Photovoltaic Array", High Voltage Engineering, Vol.34, No.6, pp.1145-1154, 2008.

[9] C. Morel, R. Vlad, J-Y. Morel, "Anticontrol of Chaos Reduces Spectral Emissions", Journal of Computational and Nonlinear Dynamics, vol. 3, pp. 041009-1, 2008.
[CrossRef] [Web of Science Times Cited 9] [SCOPUS Times Cited 12]


[10] C. Morel, M. Bourcerie, F. Chapeau-Blondeau, "Generating independent chaotic attractors by chaos anticontrol in nonlinear circuits", Chaos, Solitons and Fractals, vol. 26, pp. 541, 2005.
[CrossRef] [Web of Science Times Cited 9] [SCOPUS Times Cited 12]


[11] C. Morel, R. Vlad, E. Chauveau, "A new technique to generate independent periodic attractors in the state space of nonlinear dynamic systems", Nonlinear Dynamics, vol. 59, pp. 45, 2009.
[CrossRef] [Web of Science Times Cited 7] [SCOPUS Times Cited 9]


[12] M. G. Villalva, J. R. Gazoli, E. Ruppert F., "Comprehensive approach to modeling and simulation of photovoltaic arrays", IEEE Transactions on Power Electronics, vol. 25, no. 5, pp. 1198 - 1208, 2009.
[CrossRef] [Web of Science Times Cited 2715] [SCOPUS Times Cited 3613]


[13] D. Giaouris, S. Banerjee, B. Zahawi, V. Pickert, "Stability analysis of the continuous-conduction-mode Buck converter via Filippov's method", IEEE Transaction on Circuits and Systems, vol. 55, no.4, 2008.
[CrossRef] [Web of Science Times Cited 172] [SCOPUS Times Cited 197]


[14] D. Giaouris, S. Banerjee, B. Zahawi, V. Pickert, "Control of fast scale bifurcations in power-factor correction converters", IEEE Transaction on Circuits and Systems, vol. 54, no.9, 2007.
[CrossRef] [Web of Science Times Cited 52] [SCOPUS Times Cited 66]


[15] D. Giaouris, S. Maity, S. Banerjee, B. Zahawi, V. Pickert, "Application of Filippov method for the analysis of subharmonic instability in dc-dc converters", International Journal of Circuit Theory and Applications, vol. 37, 2009.
[CrossRef]


[16] M. Suri, T.A. Huld, E. D. Dunlop, H. A. Ossenbrink, 2007, "Potential of solar electricity generation in the European Union member states and candidate countries", Solar Energy, 81, 1295-1305,
[CrossRef] [Web of Science Times Cited 474] [SCOPUS Times Cited 542]


References Weight

Web of Science® Citations for all references: 8,048 TCR
SCOPUS® Citations for all references: 10,852 TCR

Web of Science® Average Citations per reference: 503 ACR
SCOPUS® Average Citations per reference: 678 ACR

TCR = Total Citations for References / ACR = Average Citations per Reference

We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more

Citations for references updated on 2024-04-19 05:28 in 91 seconds.




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Stefan cel Mare University of Suceava, Romania


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