| Title:
|
A family of Lyapunov-based control schemes for maximum power point tracking in buck converters (English) |
| Author:
|
Álvarez, Jorge |
| Author:
|
Ruiz, Jorge |
| Author:
|
Bernal, Miguel |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
294-313 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper presents a novel family of Lyapunov-based controllers for the maximum power point tracking problem in the buck converter case. The solar power generation system here considered is composed by a stand-alone photovoltaic panel connected to a DC/DC buck converter. Lyapunov function candidates depending on the output are considered to develop conditions which, in some cases, can be expressed as linear matrix inequalities; these conditions guarantee that the output goes asymptotically to zero, thus implying that the MPPT is achieved. Simulation and real-time results are presented, which validate the effectiveness of the proposals. (English) |
| Keyword:
|
solar energy |
| Keyword:
|
photovoltaic panel |
| Keyword:
|
maximum power point tracking |
| Keyword:
|
Lyapunov method |
| Keyword:
|
convex model |
| Keyword:
|
linear matrix inequalities |
| MSC:
|
47N70 |
| MSC:
|
93C10 |
| MSC:
|
93D30 |
| idMR:
|
MR4600379 |
| DOI:
|
10.14736/kyb-2023-2-0294 |
| . |
| Date available:
|
2023-06-19T09:10:48Z |
| Last updated:
|
2023-08-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151697 |
| . |
| Reference:
|
[1] Abdelaziz, A. Y., Almoataz, Y.: Modern Maximum Power Point Tracking Techniques for Photovoltaic Energy Systems..Springer, 2020. |
| Reference:
|
[2] Algazar, M. M, El-Halim, H. A., Salem, M. E. El Kotb, al., et: Maximum power point tracking using fuzzy logic control..Int. J. Electr.Power Energy Systems 39 (2012), 1, 21-28. |
| Reference:
|
[3] Artstein, Z.: Stabilization with relaxed controls..Nonlinear Analysis: Theory Methods Appl. 7 (1983), 11, 1163-1173. Zbl 0525.93053, MR 0721403, |
| Reference:
|
[4] Bahgat, A. B. G., Helwa, N. H., Ahmad, G. E., Shenawy, E. T. El: Maximum power point traking controller for pv systems using neural networks..Renewable Energy 30 (2008), 8, 1257-1268. |
| Reference:
|
[5] Benedek, J., Sebestyén, T.-T., Bartók, B.: Evaluation of renewable energy sources in peripheral areas and renewable energy-based rural development..Renewable Sustainable Energy Rev. 90 (2018), 516-535. |
| Reference:
|
[6] Bernal, M., Hušek, P., Kučera, V.: Non quadratic stabilization of continuous-time systems in the Takagi-Sugeno form..Kybernetika 42 (2006), 6, 665-672. MR 2296507, |
| Reference:
|
[7] Bernal, M., Sala, A., Lendek, Z., Guerra, T. M.: Analysis and Synthesis of Nonlinear Control Systems: A Convex Optimisation Approach..Springer, Cham 2022. MR 4397563 |
| Reference:
|
[8] Bharath, K. R., Suresh, E.: Design and implementation of improved fractional open circuit voltage based maximum power point tracking algorithm for photovoltaic applications..Int. J. Renewable Energy Ress. (IJRER) 7 (2017), 3, 1108-1113. |
| Reference:
|
[9] Boyd, S., ElGhaoui, L., Féron, E., Balakrishnan, V.: Linear Matrix Inequalities in System and Control Theory..Studies in Applied Mathematics 15, Philadelphia 1994. MR 1284712 |
| Reference:
|
[10] Chiu, Ch. S.: Ts fuzzy maximum power point tracking control of solar power generation systems..IEEE Trans. Energy Convers. 25 (2010). 4, 1123-1132. |
| Reference:
|
[11] Chiu, Ch. S., Ouyang, Y. L.: Robust maximum power tracking control of uncertain photovoltaic systems: A unified ts fuzzy model-based approach..IEEE Trans. Control Systems Technol. 19 (2011), 6, 1516-1526. |
| Reference:
|
[12] M, Z., Dalala, Zahid, Z. U., Yu, W., Cho, Y., Lai, J.-S.: Design and analysis of an mppt technique for small-scale wind energy conversion systems..IEEE Trans. Energy Convers. 28 (2013), 3, 756-767. |
| Reference:
|
[13] Elgendy, M. A., Zahawi, B., Atkinson, D. J.: Assessment of the incremental conductance maximum power point tracking algorithm..IEEE Trans. Sustainable Energy 4 (2012), 1, :108-117. |
| Reference:
|
[14] Faranda, R., Leva, S., Maugeri, V.: MPPT techniques for PV systems: Energetic and cost comparison..In: 2008 IEEE Power and Energy Society General Meeting-Conversion and Delivery of Electrical Energy in the 21st Century,IEEE 2008, pp. 1-6. |
| Reference:
|
[15] Gahinet, P., Nemirovsky, A., Laub, A. J., Chilali, M.: LMI Control Toolbox..Math Works, Natick 1995. |
| Reference:
|
[16] Gupta, A. K., Saxena, R.: Review on widely-used MPPT techniques for PV applications..In: 2016 International Conference on Innovation and Challenges in Cyber Security (ICICCS-INBUSH), IEEE 2016, pp. 270-273. |
| Reference:
|
[17] Khalil, H. K.: Nonlinear Control..Pearson Higher Ed, 2014. |
| Reference:
|
[18] Lalili, D., Mellit, A., Lourci, N., Medjahed, B., Berkouk, E. M.: Input output feedback linearization control and variable step size mppt algorithm of a grid-connected photovoltaic inverter..Renewable Energy 36 (2011), 12, 3282-3291. |
| Reference:
|
[19] Mahmoud, Y., Abdelwahed, M., El-Saadany, E. F.: An enhanced mppt method combining model-based and heuristic techniques..IEEE Trans. Sustainable Energy 7 (2015), 2, 76-585. |
| Reference:
|
[20] Mao, M., Zhang, L., Yang, L., Chong, B., Huang, H., Zhou, L.: MPPT using modified salp swarm algorithm for multiple bidirectional pv-ćuk converter system under partial shading and module mismatching..Solar Energy 209 (2020), 334-349. |
| Reference:
|
[21] Mokhtari, Y., Rekioua, D.: High performance of maximum power point tracking using ant colony algorithm in wind turbine..Renewable Energy 126 (2018), 1055-1063. |
| Reference:
|
[22] Owusu, P. A., Asumadu-Sarkodie, S.: A review of renewable energy sources, sustainability issues and climate change mitigation..Cogent Engrg. 3 (2016), 1, 1167990. |
| Reference:
|
[23] Pandey, A., Dasgupta, N., Mukerjee, A. K.: High-performance algorithms for drift avoidance and fast tracking in solar mppt system. |
| Reference:
|
[24] Pilakkat, D., Kanthalakshmi, S.: An improved p&o algorithm integrated with artificial bee colony for photovoltaic systems under partial shading conditions..Solar Energy 178 (2019), 37-47. |
| Reference:
|
[25] Qazi, A., Hussain, F., Rahim, N. A. B. D., Hardaker, G., Alghazzawi, D., Shaban, K., Haruna, K.: Towards sustainable energy: a systematic review of renewable energy sources, technologies, and public opinions..IEEE Acess 7 (2019), 63837-63851. |
| Reference:
|
[26] Salimi, M.: Practical implementation of the lyapunov based nonlinear controller in dc-dc boost converter for mppt of the pv systems..Solar Energy 173 (2018), 246-255. |
| Reference:
|
[27] Sandali, A., Oukhoya, T., Cheriti, A.: Modeling and design of pv grid connected system using a modified fractional short-circuit current mppt..In: 2014 International Renewable and Sustainable Energy Conference (IRSEC), IEEE 2014, pp. 224-229. |
| Reference:
|
[28] Sera, D., Mathe, L., Kerekes, T., Spataru, S. V., Teodorescu, R.: On the perturb-and-observe and incremental conductance mppt methods for pv systems..IEEE J. Photovoltaics 3 (2013), 3, :1070-1078. |
| Reference:
|
[29] Sokolov, M., Shmilovitz, D.: A modified mppt scheme for accelerated convergence..IEEE Trans. Energy Convers. 23 (2008), 4, 1105-1107. |
| Reference:
|
[30] Sontag, E. D.: A universal construction of artstein's theorem on nonlinear stabilization..Systems Control Lett. 13 (1989), 2, 117-123. MR 1014237, |
| Reference:
|
[31] Taniguchi, T., Tanaka, K., Wang, H. O.: Model contruction, rule reduction and robust compensation for generalized form of Takagi-Sugeno fuzzy systems..IEEE Trans. Fuzzy Systems 9 (2001), 4, 525-538. |
| . |
