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Maximum work from an electric battery model

Publication ,  Journal Article
Bejan, A; Dan, N
Published in: Energy
January 1, 1997

We address the fundamental problem of determining the optimal history (regime of operation) of a battery so that the work output is maximum. The essential features of the problem are: (i) the life of the battery is constrained, (ii) the battery has an internal resistance through which it can lose its charge even at open circuit, and (iii) the battery is connected to an electric motor with finite winding resistance. The optimal regime of time-dependent operation is determined based on variational calculus. It is shown that the maximized work output is smaller than the exergy stored initially in the battery, and decreases as the motor resistance increases. The exergy stored in a battery cannot be recovered fully as soon as the resistance of the external circuit is finite, no matter how small.

Duke Scholars

Published In

Energy

DOI

ISSN

0360-5442

Publication Date

January 1, 1997

Volume

22

Issue

1

Start / End Page

93 / 102

Related Subject Headings

  • Energy
  • 4017 Mechanical engineering
  • 4012 Fluid mechanics and thermal engineering
  • 4008 Electrical engineering
  • 0915 Interdisciplinary Engineering
  • 0914 Resources Engineering and Extractive Metallurgy
  • 0913 Mechanical Engineering
 

Citation

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ICMJE
MLA
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Bejan, A., & Dan, N. (1997). Maximum work from an electric battery model. Energy, 22(1), 93–102. https://doi.org/10.1016/S0360-5442(96)00092-8
Bejan, A., and N. Dan. “Maximum work from an electric battery model.” Energy 22, no. 1 (January 1, 1997): 93–102. https://doi.org/10.1016/S0360-5442(96)00092-8.
Bejan A, Dan N. Maximum work from an electric battery model. Energy. 1997 Jan 1;22(1):93–102.
Bejan, A., and N. Dan. “Maximum work from an electric battery model.” Energy, vol. 22, no. 1, Jan. 1997, pp. 93–102. Scopus, doi:10.1016/S0360-5442(96)00092-8.
Bejan A, Dan N. Maximum work from an electric battery model. Energy. 1997 Jan 1;22(1):93–102.
Journal cover image

Published In

Energy

DOI

ISSN

0360-5442

Publication Date

January 1, 1997

Volume

22

Issue

1

Start / End Page

93 / 102

Related Subject Headings

  • Energy
  • 4017 Mechanical engineering
  • 4012 Fluid mechanics and thermal engineering
  • 4008 Electrical engineering
  • 0915 Interdisciplinary Engineering
  • 0914 Resources Engineering and Extractive Metallurgy
  • 0913 Mechanical Engineering