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An explicit pv string model based on the lambert w function and simplified mpp expressions for operation under partial shading

An explicit pv string model based on the lambert w function and simplified mpp expressions for operation under partial shading
An explicit pv string model based on the lambert w function and simplified mpp expressions for operation under partial shading

In this paper, a reformulation of the widely used one-diode model of the photovoltaic (PV) cell is introduced, employing the Lambert W function. This leads to an efficient PV string model, where the terminal voltage is expressed as an explicit function of the current, resulting in significantly reduced calculation times and improved robustness of simulation. The model is experimentally validated and then used for studying the operation of PV strings under partial shading conditions. Various shading patterns are investigated to outline the effect on the string I-V and P-V characteristics. Simplified formulae are then derived to calculate the maximum power points of a PV string operating under any number of irradiance levels, without resorting to detailed modeling and simulation. Both the explicit model and the simplified expressions are intended for application in shading loss and energy yield calculations.

Explicit model, Lambert W function, Maximum power point (MPP), Partial shading, Photovoltaic (PV) string, Simplified formulae
1949-3029
301-312
Batzelis, Efstratios I.
2a85086e-e403-443c-81a6-e3b4ee16ae5e
Routsolias, Iason A.
5217da44-4b07-4ceb-94d1-f8b07941e651
Papathanassiou, Stavros A.
49cbcb43-649a-47c2-b294-9bc4d88898b9
Batzelis, Efstratios I.
2a85086e-e403-443c-81a6-e3b4ee16ae5e
Routsolias, Iason A.
5217da44-4b07-4ceb-94d1-f8b07941e651
Papathanassiou, Stavros A.
49cbcb43-649a-47c2-b294-9bc4d88898b9

Batzelis, Efstratios I., Routsolias, Iason A. and Papathanassiou, Stavros A. (2014) An explicit pv string model based on the lambert w function and simplified mpp expressions for operation under partial shading. IEEE Transactions on Sustainable Energy, 5 (1), 301-312, [6670101]. (doi:10.1109/TSTE.2013.2282168).

Record type: Article

Abstract

In this paper, a reformulation of the widely used one-diode model of the photovoltaic (PV) cell is introduced, employing the Lambert W function. This leads to an efficient PV string model, where the terminal voltage is expressed as an explicit function of the current, resulting in significantly reduced calculation times and improved robustness of simulation. The model is experimentally validated and then used for studying the operation of PV strings under partial shading conditions. Various shading patterns are investigated to outline the effect on the string I-V and P-V characteristics. Simplified formulae are then derived to calculate the maximum power points of a PV string operating under any number of irradiance levels, without resorting to detailed modeling and simulation. Both the explicit model and the simplified expressions are intended for application in shading loss and energy yield calculations.

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More information

Published date: January 2014
Additional Information: Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
Keywords: Explicit model, Lambert W function, Maximum power point (MPP), Partial shading, Photovoltaic (PV) string, Simplified formulae

Identifiers

Local EPrints ID: 449532
URI: http://eprints.soton.ac.uk/id/eprint/449532
ISSN: 1949-3029
PURE UUID: 8bf56c68-8142-4122-9e4f-626180248994
ORCID for Efstratios I. Batzelis: ORCID iD orcid.org/0000-0002-2967-3677

Catalogue record

Date deposited: 04 Jun 2021 16:32
Last modified: 27 Apr 2022 02:18

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Contributors

Author: Efstratios I. Batzelis ORCID iD
Author: Iason A. Routsolias
Author: Stavros A. Papathanassiou

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