Battery Testing with the Calculated Discharge Curve Method-3D Mathematical Model

Abstract

The calculated discharge curve method is based on thermodynamically reversible work: The product of the open-circuit voltage, initial current, and time, i.e., the sum of useful energy and energy losses. A calculated discharge curve is based on the constant step change of the battery voltage in correspondence with a cardinal number set. The essential solution is the transformation of the discharge data voltage vs. time into time vs. voltage using basic equations (three-point operators: power of internal resistance and time), which are valid for all battery electrochemical systems, battery designs and discharge conditions. The mono and multi-cell battery operating conditions consist of the following: 1) The four discharge modes by constant loads: resistor, current, voltage, and power; 2) Two load regimes: Self-driving and device-driving (galvanostat, potentiostat) or battery connection (serial, parallel, combine); and 3) Continual and intermittent discharge. The battery average cell and cell/battery average characteristics, regarding time and capacities, are introduced as the new battery characteristics.

Share and Cite:

Djordjevic, A. and Karanovic, D. (2015) Battery Testing with the Calculated Discharge Curve Method-3D Mathematical Model. Journal of Power and Energy Engineering, 3, 37-52. doi: 10.4236/jpee.2015.31004.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Djordjevic, A.B. and Karanovic, D.M. (1999) Cell Testing by Calculated Discharge Curve Method. Journal of Power Sources, 83, 134-140.
http://dx.doi.org/10.1016/S0378-7753(99)00287-6
[2] Djordjevic, A.B. and Karanovic, D.M. (2006) Battery Testing by Calculated Discharge-Curve Method—Constant Resistive Load Algorithm. Journal of Power Sources, 162, 920-926.
http://dx.doi.org/10.1016/j.jpowsour.2005.07.013
[3] Vincet, C.A. and Scrosati, B. (1997) Modern Batteries. Arnold, London.
[4] Bard, A.J. and Faulkner, R. (1980) Electrochemical Methods. John Wiley & Sons, Inc., New York.
[5] Akay, T.J. (1980) Applied Numerical Methods for Engineers. John Wiley & Sons, Inc., New York.
[6] Wu, M.-S., Lin, C.-Y., Wang, Y.-Y., Wan, C.-C. and Yang, C.R. (2006) Electrochimica Acta, 52, 1349-135.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.