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

Autor(es)

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]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION; v. 20, n. 3, p. 995-1008, JUN 2013.
• Citações Web of Science: 11

Resumo

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)

• Processo FAPESP: 11/13777-8 - Espectroscopia terahertz no domínio do tempo: desenvolvimento de métodos analíticos, técnicas de processamento de sinais, estudos bioquímicos e fundamentais
• Beneficiário: Celio Pasquini
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 11/17610-0 - Monitoramento e controle de sistemas dinâmicos sujeitos a falhas
• Beneficiário: Roberto Kawakami Harrop Galvão
• Modalidade de apoio: Auxílio à Pesquisa - Temático