{"title":"Exact Solution to the Mean Value Theorem Applied to the Maximum Power Point Estimation","authors":"José G. Tirado-Serrato","doi":"10.1109/JPHOTOV.2023.3299751","DOIUrl":null,"url":null,"abstract":"In this work, the exact solution to the mean value theorem problem applied to the maximum power point (MPP) calculation is presented; besides, an improvement to this solution is developed based on an expression of the MPP that depends on the optimal load and the characteristic parameters of the photovoltaic module. Both approximations depend only on the natural logarithm, avoiding the evaluation of the Lambert-W function. The validation of the approximations is performed by comparing them with real measurements and the numerical solution of the five-parameter single-diode model using the dataset from 11 commercial modules and six different technologies, as well as by comparing them with existing approximations in the literature.","PeriodicalId":445,"journal":{"name":"IEEE Journal of Photovoltaics","volume":"13 5","pages":"750-755"},"PeriodicalIF":2.5000,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Journal of Photovoltaics","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10210372/","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, the exact solution to the mean value theorem problem applied to the maximum power point (MPP) calculation is presented; besides, an improvement to this solution is developed based on an expression of the MPP that depends on the optimal load and the characteristic parameters of the photovoltaic module. Both approximations depend only on the natural logarithm, avoiding the evaluation of the Lambert-W function. The validation of the approximations is performed by comparing them with real measurements and the numerical solution of the five-parameter single-diode model using the dataset from 11 commercial modules and six different technologies, as well as by comparing them with existing approximations in the literature.
期刊介绍：
The IEEE Journal of Photovoltaics is a peer-reviewed, archival publication reporting original and significant research results that advance the field of photovoltaics (PV). The PV field is diverse in its science base ranging from semiconductor and PV device physics to optics and the materials sciences. The journal publishes articles that connect this science base to PV science and technology. The intent is to publish original research results that are of primary interest to the photovoltaic specialist. The scope of the IEEE J. Photovoltaics incorporates: fundamentals and new concepts of PV conversion, including those based on nanostructured materials, low-dimensional physics, multiple charge generation, up/down converters, thermophotovoltaics, hot-carrier effects, plasmonics, metamorphic materials, luminescent concentrators, and rectennas; Si-based PV, including new cell designs, crystalline and non-crystalline Si, passivation, characterization and Si crystal growth; polycrystalline, amorphous and crystalline thin-film solar cell materials, including PV structures and solar cells based on II-VI, chalcopyrite, Si and other thin film absorbers; III-V PV materials, heterostructures, multijunction devices and concentrator PV; optics for light trapping, reflection control and concentration; organic PV including polymer, hybrid and dye sensitized solar cells; space PV including cell materials and PV devices, defects and reliability, environmental effects and protective materials; PV modeling and characterization methods; and other aspects of PV, including modules, power conditioning, inverters, balance-of-systems components, monitoring, analyses and simulations, and supporting PV module standards and measurements. Tutorial and review papers on these subjects are also published and occasionally special issues are published to treat particular areas in more depth and breadth.
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