Abstract

The Ragone relation is a facile approach to assess and compare electro-chemical battery performance in terms of two critical performance parameters: power density and energy density. This power and energy nexus is equally relevant for thermal energy storage materials for thermal management applications that require a balance between energy storage capacity and on-demand cooling or heating rates. Here, thermal energy storage is evaluated for sensible heating and for phase-change materials (PCMs). We propose an analytic expression using a lumped mass model for thermal storage through an analogy with heat diffusion that allows for intuitive mapping of materials and components in power-energy space. In addition, a previously proposed figure-of-merit, $\eta_q$, describing the intrinsic capability of PCMs to rapidly absorb or discharge heat is placed in the context of the thermal Ragone (power-energy) relation. This figure of merit serves as a proxy for the cooling power of PCMs and single-phase materials to store thermal energy. Thus, $\eta_q$ plotted against energy density can serve graphically to illustrate performance tradeoffs between different thermal storage materials, as well as composites composed of different materials.

Highlights

  • A half century ago, Ragone published an overview of electro-chemical and fuel-cell batteries (Ragone, 1968) to compare power and energy performance of batteries in electrical automotive applications, prior to the emergence of plug-in electric vehicle (EVs) (Rotering and Ilic, 2011)

  • The Ragone relationships for thermal storage materials designed for thermal management were explored, based on an electrothermal analogy

  • We demonstrated that a lumped thermal mass model worked well to determine the time constant along with the quick positioning of heat power-energy space, which is Ragone relation from the property information

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Summary

Ragone Relations for Thermal Energy Storage Technologies

Reviewed by: Gongnan Xie, Northwestern Polytechnical University, China Xiaofeng Guo, ESIEE Paris, France Patrick Oosthuizen, Queen’s University, Canada. The Ragone relation is a facile approach to assess and compare electro-chemical battery performance in terms of two critical performance parameters: power density and energy density This power and energy nexus is relevant for thermal energy storage materials for thermal management applications that require a balance between energy storage capacity and on-demand cooling or heating rates. A previously proposed figure-of-merit, ηq, describing the intrinsic capability of PCMs to rapidly absorb or discharge heat is placed in the context of the thermal Ragone (power-energy) relation. This figure of merit serves as a proxy for the cooling power of PCMs and single-phase materials to store thermal energy.

INTRODUCTION
Potential Current Capacitance Resistance Time constant Diffusivity
MODELING OF DYNAMIC CHARACTERISTICS
Lumped Thermal Model
DISTRIBUTED THERMAL MASS MODEL
Lumped Mass Model
Analytical Model
Figure of Merit for Thermal Storage Materials
CONCLUSIONS
AUTHOR CONTRIBUTIONS
Full Text
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