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    Image and Representation on E. Cassirer. A Reflection since the Computed Tomography Scan
    (2022)
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    Brambila-Paz, Fernando
    This article studies the concepts of image and representation in Ernst Cassirer’s philosophy. In this text the symbolic value with which the neo-Kantian defines images becomes evident. Based on this, it is explained how these can be presented as a relationship of identity between a defined object and the concept constructed by an epistemic agent. To illustrate such theory, the operation of the Computed Axial Tomography (CAT) is considered to show that the purpose of medical images is to represent reality digitally, for which it is only required to symbolize the shape of the body. Finally, the use of the Doppler Effect is suggested as an alternative method to consider in the operation of the CAT.
      38  2
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    An Accurate Explicit Six-Parameter Solar Cell Model Based on Single-Diode and Its Parameter Extraction for Seven Photovoltaic Technologies
    (2023)
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    Fernando Brambila-Paz
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    <jats:title>Abstract</jats:title> <jats:p>The mathematical modeling of solar cells and panels is critical in many photovoltaic applications. However, the standard single-diode solar cell model, commonly selected to model these devices, is implicit and difficult to integrate into simulation software. Therefore, exact explicit solutions of this model, more suitable for computing purposes, have been proposed based on the Lambert W-function. This work introduces an explicit single-diode, easy-to-use six-parameter solar cell model. The proposed model is formulated with elementary functions. The model is developed and tested over seven photovoltaic technologies as an alternative to traditional approaches. Results of the extensive comparison of the three models (implicit, explicit Lambert W, and explicit six-parameter) show that the proposed approach is more accurate (14.81% relative improvement on average compared to the traditional methods), almost as fast as the Lambert W approach and much faster than the implicit approach. Due to its simplicity and accuracy, the proposed model will become an alternative in photovoltaic applications such as energy prediction and maximum power point tracking.</jats:p>
    Scopus© Citations 2  15  1
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    Review of explicit models for photovoltaic cell electrical characterization
    (Elsevier, 2025)
    Pedroza-Díaz, Alfredo
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    Valera-Albacete, Álvaro
    For modeling solar cells, the single diode model presents difficulties in implementation and is expensive computationally because it involves a transcendental and implicit mathematical equation. Some authors have proposed explicit, easy-to-use, and computationally efficient models that approximate its behavior. It is challenging to select the proper model for each specific application because the different proposals were tested for different solar panels, operating conditions, and performance metrics, and, therefore, a direct comparison based on the published information is not possible. In this study, the existing explicit models are reviewed, presenting their equations and discussing their mathematical approximations. Four new models are introduced, and a classification of models is proposed. Furthermore, a comparative analysis of all the models under many photovoltaic technologies and operating conditions is carried out using the same performance metrics and parameter extraction method. This allows developing a framework that makes the selection of models easier for each application. The comparative results show that three models proposed by the research team are more accurate than the implicit approach, with average root mean squared errors as low as 0.41 % (versus 0.54 % error of the implicit model). However, the parameters in these models lack physical sense. Among the explicit models incorporating physical parameters and formulated with elementary functions, the most accurate is based on a first order Padé approximation (0.55 % error). The ranking of models is expected to become a valuable tool for the photovoltaic community in various solar cell modeling tasks. ©The authors ©Renewable and Sustainable Energy Reviews.
      27  1
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    Scopus© Citations 3  25  1