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Title: Magnetic field effects in high-power batteries; 1: The penetration of an electric field into a cylindrical conductor

Abstract

The penetration of the axial component of an electric field into a cylindrical conductor is described by an asymptotic solution method for long and short times. The development of the respective current distributions allows for a mathematical comparison of the solution schemes and indicates that the current initially increases at a rate proportional to time until a time of order [epsilon]/[sigma], subsequently at a rate proportional to the square root of time, and finally levels off exponentially to the steady-state value. Numerical estimates of these time frames for a bipolar lead-acid battery with porous lead electrodes of 0.10 m radius give values of 1 [times] 10[sup [minus]18] s for the inner time regime and 0.1 s for the diffusion time regime. Criteria for the proper omission of the displacement current also are given.

Authors:
;  [1]
  1. (Univ. of California, Berkeley, CA (United States). Materials Sciences Div.)
Publication Date:
OSTI Identifier:
7110014
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Journal Article
Journal Name:
Journal of the Electrochemical Society; (United States)
Additional Journal Information:
Journal Volume: 141:3; Journal ID: ISSN 0013-4651
Country of Publication:
United States
Language:
English
Subject:
25 ENERGY STORAGE; LEAD-ACID BATTERIES; DESIGN; INDUCTANCE; ELECTRIC FIELDS; MAGNETIC FIELDS; MATHEMATICAL MODELS; PERFORMANCE; TIME DEPENDENCE; VOLTAGE DROP; ELECTRIC BATTERIES; ELECTRICAL PROPERTIES; ELECTROCHEMICAL CELLS; PHYSICAL PROPERTIES; 250901* - Energy Storage- Batteries- Design & Development; 250902 - Energy Storage- Batteries- Performance & Testing

Citation Formats

Battaglia, V., and Newman, J.. Magnetic field effects in high-power batteries; 1: The penetration of an electric field into a cylindrical conductor. United States: N. p., 1994. Web. doi:10.1149/1.2054795.
Battaglia, V., & Newman, J.. Magnetic field effects in high-power batteries; 1: The penetration of an electric field into a cylindrical conductor. United States. doi:10.1149/1.2054795.
Battaglia, V., and Newman, J.. Tue . "Magnetic field effects in high-power batteries; 1: The penetration of an electric field into a cylindrical conductor". United States. doi:10.1149/1.2054795.
@article{osti_7110014,
title = {Magnetic field effects in high-power batteries; 1: The penetration of an electric field into a cylindrical conductor},
author = {Battaglia, V. and Newman, J.},
abstractNote = {The penetration of the axial component of an electric field into a cylindrical conductor is described by an asymptotic solution method for long and short times. The development of the respective current distributions allows for a mathematical comparison of the solution schemes and indicates that the current initially increases at a rate proportional to time until a time of order [epsilon]/[sigma], subsequently at a rate proportional to the square root of time, and finally levels off exponentially to the steady-state value. Numerical estimates of these time frames for a bipolar lead-acid battery with porous lead electrodes of 0.10 m radius give values of 1 [times] 10[sup [minus]18] s for the inner time regime and 0.1 s for the diffusion time regime. Criteria for the proper omission of the displacement current also are given.},
doi = {10.1149/1.2054795},
journal = {Journal of the Electrochemical Society; (United States)},
issn = {0013-4651},
number = ,
volume = 141:3,
place = {United States},
year = {1994},
month = {3}
}