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Application of the Filippov Method for the Stability Analysis of a Photovoltaic SystemMOREL, C. , PETREUS, D. , RUSU, A. |
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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
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. |
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[1] Open-Circuit Fault-Tolerant Strategy for Interleaved Boost Converters via Filippov Method, Morel, Cristina, Akrad, Ahmad, Sehab, Rabia, Azib, Toufik, Larouci, Cherif, Energies, ISSN 1996-1073, Issue 1, Volume 15, 2022.
Digital Object Identifier: 10.3390/en15010352 [CrossRef]
[2] Stability Analysis of Voltage Controlled Buck Converter Feed From a Periodic Input, Hu, Wei, Yang, Ru, Wang, Xiaogang, Zhang, Fangying, IEEE Transactions on Industrial Electronics, ISSN 0278-0046, Issue 4, Volume 68, 2021.
Digital Object Identifier: 10.1109/TIE.2020.2982116 [CrossRef]
[3] A Wide-Stable-Region Logarithm-Type Slope Compensation for Peak-Current-Mode Controlled Boost Converter, Zhang, Weiyue, Zhang, Bo, Li, Siqi, IEEE Transactions on Circuits and Systems II: Express Briefs, ISSN 1549-7747, Issue 6, Volume 69, 2022.
Digital Object Identifier: 10.1109/TCSII.2022.3153526 [CrossRef]
[4] A Unique Bifurcation Structure in One-Dimensional Model of Current-Controlled Step-Up DC–DC Converter with Photovoltaic Module, Uchino, Shota, Aoki, Satoshi, Kousaka, Takuji, Asahara, Hiroyuki, Transactions of the Institute of Systems, Control and Information Engineers, ISSN 1342-5668, Issue 6, Volume 36, 2023.
Digital Object Identifier: 10.5687/iscie.36.155 [CrossRef]
[5] Fuzzy Sliding Mode Control for Hyper Chaotic Chen System, SARAILOO, M., RAHMANI, Z., REZAIE, B., Advances in Electrical and Computer Engineering, ISSN 1582-7445, Issue 1, Volume 12, 2012.
Digital Object Identifier: 10.4316/aece.2012.01014 [CrossRef] [Full text]
[6] Stability of a boost converter fed from photovoltaic source, Abusorrah, Abdullah, Al-Hindawi, Mohammed M., Al-Turki, Yusuf, Mandal, Kuntal, Giaouris, Damian, Banerjee, Soumitro, Voutetakis, Spyros, Papadopoulou, Simira, Solar Energy, ISSN 0038-092X, Issue , 2013.
Digital Object Identifier: 10.1016/j.solener.2013.09.001 [CrossRef]
[7] Saltation Matrices: The Essential Tool for Linearizing Hybrid Dynamical Systems, Kong, Nathan J., Joe Payne, J., Zhu, James, Johnson, Aaron M., Proceedings of the IEEE, ISSN 0018-9219, Issue 6, Volume 112, 2024.
Digital Object Identifier: 10.1109/JPROC.2024.3440211 [CrossRef]
[8] Application of the Filippov Method to PV‐fed DC‐DC converters modeled as hybrid‐DAEs, Hayes, Brendan, Condon, Marissa, Giaouris, Damian, Engineering Reports, ISSN 2577-8196, Issue 9, Volume 2, 2020.
Digital Object Identifier: 10.1002/eng2.12237 [CrossRef]
[9] Generalization of the Filippov method for systems with a large periodic input, Morel, C., Morel, J.-Y., Danca, M.F., Mathematics and Computers in Simulation, ISSN 0378-4754, Issue , 2018.
Digital Object Identifier: 10.1016/j.matcom.2017.09.004 [CrossRef]
[10] Stability of boost converter connected to a photovoltaic panel, Kamala, J, Ashvini, J V, 2015 2nd International Conference on Electronics and Communication Systems (ICECS), ISBN 978-1-4799-7225-8, 2015.
Digital Object Identifier: 10.1109/ECS.2015.7125058 [CrossRef]
[11] Control of bifurcation of PWM controlled DC drives, Chakrabarty, Krishnendu, Kar, Urmila, 2012 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES), ISBN 978-1-4673-4508-8, 2012.
Digital Object Identifier: 10.1109/PEDES.2012.6484468 [CrossRef]
[12] Stability analysis of a photovoltaic system with DC/DC flyback converter using Filippov's method, Alvarez Lopez, Ramon Antonio, Londono, Gustavo Osorio, 2012 IEEE International Symposium on Alternative Energies and Energy Quality (SIFAE), ISBN 978-1-4673-4655-9, 2012.
Digital Object Identifier: 10.1109/SIFAE.2012.6478910 [CrossRef]
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Stefan cel Mare University of Suceava, Romania
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