Journal
IEEE TRANSACTIONS ON ENERGY CONVERSION
Volume 30, Issue 1, Pages 226-236Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TEC.2014.2356017
Keywords
Direct calculation; explicit expressions; five parameters; Lambert W function; maximum power point (MPP); partial shading; photovoltaic (PV); single-diode model
Funding
- IKY Fellowships of Excellence for Postgraduate Studies in Greece-Siemens Program
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In this paper, new expressions are introduced for the determination of the maximum power point (MPP) of photovoltaic (PV) systems as explicit functions of the five parameters of the single-diode model employing the Lambert W function. These equations provide the voltage and current at MPP in a direct and straightforward manner, thus dispensing with any need for iterative solution. They are initially derived for a PV system operating under uniform conditions, and subsequently extended for mismatched conditions at the PV string level. The novelty of these formulae lies in their solid theoretical foundation, which supports their validity in the general case and offers a well-founded symbolic formulation for the MPP evaluation problem. Extended simulations and experimental validation are performed to verify the accuracy and computational efficiency of the proposed equations compared with other methods available in the literature.
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