Prediction of Effective Permittivity of Diphasic Dielectrics as a Function of Frequency

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,...

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Bibliographic Details
Published in:IEEE transactions on dielectrics and electrical insulation 2009-06, Vol.16 (3), p.793-808
Main Authors: Koledintseva, M.Y., Patil, S.K., Schwartz, R.W., Huebner, W., Rozanov, K.N., Jianxiang Shen, Ji Chen
Format: Article
Language:English
Subjects:
Analytical models
Capacitance
Capacitors
Circuits
Dielectric composites
Dielectric constant
Dielectrics
effective permittivity
Electric fields
Electric resistance
Electrical insulation
Equivalence
equivalent impedance
Frequency
Geometry
Impedance
Inclusions
Mathematical models
Permittivity
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Summary: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.
ISSN:1070-9878
1558-4135
DOI:10.1109/TDEI.2009.5128520