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The maximum power efficiency 1-√τ: Research, education, and bibliometric relevance

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Abstract

The well-known efficiency at maximum power for a cyclic system working between hot T h and low T c temperatures given by the equation 1-√τ(τ=T c /T h), has become a landmark result with regards to the thermodynamic optimization of a great variety of energy converters. Its wide applicability and sole dependence on the external heat bath temperatures (as the Carnot efficiency does) allows for an easy comparison with experimental efficiencies leading to a striking fair agreement. Reversible, finite-time, and linear-irreversible derivations are analyzed in order to show a broader perspective about its meaning from both researching and pedagogical point of views. Its scientific relevance and historical development are also analyzed in this work by means of some bibliometric data.

This article is supplemented with comments by Hong Qian and a final reply by the authors.

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Authors and Affiliations

  1. Departamento de Física Aplicada and IUFFYM, Universidad de Salamanca, 37008, Salamanca, Spain

    A. Calvo Hernández, J. M. M. Roco, A. Medina & S. Velasco

  2. Instituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Av. IPN No. 2580, L. Ticomán, México D.F., 07340, México

    L. Guzmán-Vargas

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  1. A. Calvo Hernández
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  2. J. M. M. Roco
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  3. A. Medina
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  4. S. Velasco
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  5. L. Guzmán-Vargas
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Calvo Hernández, A., Roco, J.M.M., Medina, A. et al. The maximum power efficiency 1-√τ: Research, education, and bibliometric relevance. Eur. Phys. J. Spec. Top. 224, 809–823 (2015). https://doi.org/10.1140/epjst/e2015-02429-4

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  • DOI: https://doi.org/10.1140/epjst/e2015-02429-4

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