Peukert equation

In practice, the Peukert equation, equation 52, finds wide use in reporting and comparing battery performance (54). 

A good approximation of the relationship between current, 7, and discharge duration, t, is given by the empirical Peukert equation, i.e.. 

Diffusion limitations and their influence on capacity and the utilization of the active mass are progressively reduced with thinner plates, and the Peukert equation can be modified [7] to include both temperature and thickness parameters, namely ... 

Doerffel D, Sharkh SA (2006) A critical review of using the Peukert equation for determining the remaining capacity of lead-acid and lithium-ion batteries. J Power Sourc 155 395-400... 

Schwarzer H, Schwertfirm F, Manhart M, Schmid H, Peukert W (2006) Predictive simulation of nanoparticle precipitation based on the population balance equation. Chem Eng Sci 61(1) 167-181... 

An ANN-based model of available capacity in a LAB for EV applications was developed by Chan et al. in 2000 with an ANN toolbox available in MATLAB [4], They compared their model with Peukert s equation (Equation 9.8), which describes the nonlinear relationship between the available capacity and discharge current... 

Liebenow [1897], Peukert [1897], Rabl [1936], Davtyan [1946], and Shepherd [1965]), as reported by Bode [18] and recently validated over a wide range of operating conditions [19]. Despite these attempts, only Peukert s equation has received wide acceptance ... 

In the early 1990s, an empirical model was developed by Roan and Raman [22] in order to provide a fast executing battery performance simulation model that could be used as a subroutine in HEV and EV simulation codes. The current effect on battery capacity has been modeled by Peukert s equation (Equation 9.26) and the temperature effect by Equation 9.31. Available cycle life data for LABs suggests that the cycle life depends strongly on DOD and has been modeled by the following equation ... 

Data of this type can be used to approximate the service life of a given cell or battery under a particular discharge condition or to estimate the weight or size of a battery required to meet a given service requirement. In view of the linearity of these curves on a log-log plot, mathematical relationships have been developed to estimate the performance of batteries under conditions that are not specifically stated. Peukert s equation,... 

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