Title :
A numerical method for the determination of first-order kinetics relaxation time spectra
Author :
Kliem, H. ; Fuhrmann, P. ; Arlt, G.
Author_Institution :
Inst. fuer Werkstoffe de Elektrotech., Achen Univ. of Technol., West Germany
Abstract :
A numerical method is developed for computing relaxation-time spectra from time-domain measurements. The method starts with an assumed spectrum. This spectrum is altered and adjusted by comparing the data calculated from the assumed spectrum with the measured data. The approach is essentially an inverse Laplace transformation for the measured data. The method is suitable for broad spectra as well as for narrow relaxation-time spectra. Measurements performed on polyimide and aluminium oxide illustrate the capabilities of the method. The stability against noise in the data is investigated, and a smoothing procedure is described.<>
Keywords :
dielectric relaxation; numerical methods; Al/sub 2/O/sub 3/; assumed spectrum; first-order kinetics relaxation time spectra; inverse Laplace transformation; noise; numerical method; polyimide; time-domain measurements; Chemical technology; Density functional theory; Dielectrics; Equations; Frequency; Kinetic theory; Physics; Smoothing methods; Systems biology; Time measurement;
Journal_Title :
Electrical Insulation, IEEE Transactions on