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Computation of the Lambert W function in photovoltaic modeling

Computation of the Lambert W function in photovoltaic modeling
Computation of the Lambert W function in photovoltaic modeling

Recently, the Lambert W function has emerged as a valuable mathematical tool in photovoltaic (PV) modeling and other scientific fields. This increasing interest is because it can be used to reformulate the implicit equations of the single-diode PV model into explicit form. However, the computation of the Lambert W function itself is still not clear in the literature; some studies use the iterative built-in functions in MATLAB or other computational platforms, while others adopt their own approximation formulae. This paper takes a deeper look at the ways the Lambert W function is evaluated in PV models and carries out a comparative study to assess the most commonly used methods in terms of accuracy, computational cost, and application range. These alternatives are implemented in a modern computer and a typical microcontroller to evaluate their performance in both simulations and embedded applications. The analysis concludes that some series expansions are good options for PV modeling applications, requiring less execution time than the built-in MATLAB lambertw function and exhibiting negligible approximation error.

1876-1100
583-595
Springer
Batzelis, Efstratios I.
2a85086e-e403-443c-81a6-e3b4ee16ae5e
Anagnostou, Georgios
41e8433d-52ec-4a6a-ba0f-1619b2e5bab8
Chakraborty, Chandan
6701fe34-862b-432b-bbe1-041a66e68938
Pal, Bikash C.
c062978e-53eb-4d5d-ace8-746ccafa5fb0
Zamboni, Walter
Petrone, Giovanni
Batzelis, Efstratios I.
2a85086e-e403-443c-81a6-e3b4ee16ae5e
Anagnostou, Georgios
41e8433d-52ec-4a6a-ba0f-1619b2e5bab8
Chakraborty, Chandan
6701fe34-862b-432b-bbe1-041a66e68938
Pal, Bikash C.
c062978e-53eb-4d5d-ace8-746ccafa5fb0
Zamboni, Walter
Petrone, Giovanni

Batzelis, Efstratios I., Anagnostou, Georgios, Chakraborty, Chandan and Pal, Bikash C. (2020) Computation of the Lambert W function in photovoltaic modeling. Zamboni, Walter and Petrone, Giovanni (eds.) In ELECTRIMACS 2019 - Selected Papers - Volume 1. vol. 604, Springer. pp. 583-595 . (doi:10.1007/978-3-030-37161-6_44).

Record type: Conference or Workshop Item (Paper)

Abstract

Recently, the Lambert W function has emerged as a valuable mathematical tool in photovoltaic (PV) modeling and other scientific fields. This increasing interest is because it can be used to reformulate the implicit equations of the single-diode PV model into explicit form. However, the computation of the Lambert W function itself is still not clear in the literature; some studies use the iterative built-in functions in MATLAB or other computational platforms, while others adopt their own approximation formulae. This paper takes a deeper look at the ways the Lambert W function is evaluated in PV models and carries out a comparative study to assess the most commonly used methods in terms of accuracy, computational cost, and application range. These alternatives are implemented in a modern computer and a typical microcontroller to evaluate their performance in both simulations and embedded applications. The analysis concludes that some series expansions are good options for PV modeling applications, requiring less execution time than the built-in MATLAB lambertw function and exhibiting negligible approximation error.

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More information

Published date: 2020
Additional Information: Funding Information: Dr. E. Batzelis? work has received funding from the European Union?s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 746638. The rest of the authors? work has been conducted as part of the research project ?Joint UK-India Clean Energy Centre (JUICE)? which is funded by the RCUK?s Energy Programme (contract no: EP/P003605/1). Publisher Copyright: © Springer Nature Switzerland AG 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
Venue - Dates: 13th International Conference of the IMACS TC1 Committee, ELECTRIMACS 2019, , Salerno, Italy, 2019-05-20 - 2019-05-22

Identifiers

Local EPrints ID: 449667
URI: http://eprints.soton.ac.uk/id/eprint/449667
ISSN: 1876-1100
PURE UUID: e9fead47-3186-4dbb-bce8-4cd814ccc580

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Date deposited: 10 Jun 2021 16:31
Last modified: 10 Jun 2021 16:31

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Contributors

Author: Efstratios I. Batzelis
Author: Georgios Anagnostou
Author: Chandan Chakraborty
Author: Bikash C. Pal
Editor: Walter Zamboni
Editor: Giovanni Petrone

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