Multivariate Analysis of the Dielectric Response of Materials Modeled using Networks of Resistors and Capacitors

Author(s)

Harrop Galvao, Roberto Kawakami ^[1] ; Kienitz, Karl Heinz ^[1] ; Hadjiloucas, Sillas ^[2] ; Walker, Gillian Claire ^[2] ; Bowen, John Wesley ^[2] ; Carreiro Soares, Sofacles Figueredo ^[3] ; Ugulino Araujo, Mario Cesar ^[3]

Affiliation

^[1] Inst Tecnol Aeronaut, Dept Elect Engn, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[2] Univ Reading, Sch Syst Engn, Reading RG6 6AY, Berks - England

^[3] Univ Fed Paraiba, Dept Chem, BR-58051970 Joao Pessoa, Paraiba - Brazil

• Document type: Journal article
• Source: IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION; v. 20, n. 3, p. 995-1008, JUN 2013.
• Web of Science Citations: 11

Abstract

We discuss the modeling of dielectric responses of electromagnetically excited networks which are composed of a mixture of capacitors and resistors. Such networks can be employed as lumped-parameter circuits to model the response of composite materials containing conductive and insulating grains. The dynamics of the excited network systems are studied using a state space model derived from a randomized incidence matrix. Time and frequency domain responses from synthetic data sets generated from state space models are analyzed for the purpose of estimating the fraction of capacitors in the network. Good results were obtained by using either the time-domain response to a pulse excitation or impedance data at selected frequencies. A chemometric framework based on a Successive Projections Algorithm (SPA) enables the construction of multiple linear regression (MLR) models which can efficiently determine the ratio of conductive to insulating components in composite material samples. The proposed method avoids restrictions commonly associated with Archie's law, the application of percolation theory or Kohlrausch-Williams-Watts models and is applicable to experimental results generated by either time domain transient spectrometers or continuous-wave instruments. Furthermore, it is quite generic and applicable to tomography, acoustics as well as other spectroscopies such as nuclear magnetic resonance, electron paramagnetic resonance and, therefore, should be of general interest across the dielectrics community. (AU)

• FAPESP's process: 11/13777-8 - Time domain terahertz spectroscopy: development of analytical methods, signal processing techniques, biochemical and fundamental studies
• Grantee: Celio Pasquini
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 11/17610-0 - Monitoring and control of dynamic systems subject to faults
• Grantee: Roberto Kawakami Harrop Galvão
• Support Opportunities: Research Projects - Thematic Grants