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Article
Prediction of Effective Permittivity of Diphasic Dielectrics as a Function of Frequency
IEEE Transactions on Dielectrics and Electrical Insulation
  • Marina Koledintseva, Missouri University of Science and Technology
  • Sandeep K. Patil
  • Robert W. Schwartz, Missouri University of Science and Technology
  • Wayne Huebner, Missouri University of Science and Technology
  • Konstantin Rozanov, Missouri University of Science and Technology
  • Jianxiang Shen
  • Ji Chen
Abstract

An analytical model based on an equivalent impedance circuit for effective permittivity of a composite dielectric as a function of frequency with complex-shaped inclusions is presented. The geometry of the capacitor containing this composite dielectric is discretized into partial impedance elements, the total equivalent impedance is calculated, and the effective permittivity of the composite dielectric is obtained from this equivalent impedance. An example application using this method is given for an individual cell of a diphasic dielectric consisting of a high-permittivity spherical inclusion enclosed in a low-permittivity parallelepiped. The capacitance and resistance for individual discretized elements in the composite cell are modeled as a function of an inclusion radius. The proposed approach is then extended to a periodic three-dimensional structure comprised of multiple individual cells. The equivalent impedance model is valid for both static and alternating applied electric fields, over the entire range of volume fraction of inclusions. The equivalent impedance model has a few advantages over existing effective medium theories, including no limitations on the shape of inclusions or their separation distance.

Department(s)
Electrical and Computer Engineering
Second Department
Materials Science and Engineering
Third Department
Physics
Keywords and Phrases
  • Analytical Models,
  • Capacitance,
  • Capacitors,
  • Circuits,
  • Dielectrics,
  • Electric Resistance,
  • Frequency,
  • Geometry,
  • Impedance,
  • Permittivity
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2009 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
6-1-2009
Citation Information
Marina Koledintseva, Sandeep K. Patil, Robert W. Schwartz, Wayne Huebner, et al.. "Prediction of Effective Permittivity of Diphasic Dielectrics as a Function of Frequency" IEEE Transactions on Dielectrics and Electrical Insulation Vol. 16 Iss. 3 (2009) p. 793 - 808
Available at: http://works.bepress.com/wayne-huebner/36/