Title :
Linear and nonlinear data fitting for dielectrics
Author_Institution :
Dept. of Phys., Queen´´s Univ., Kingston, Ont., Canada
fDate :
10/1/2002 12:00:00 AM
Abstract :
The author discusses some of the problems associated with data fitting, particularly the case of uncertainties in all the variables, the possibly misleading results of algorithmic convergence, and also the limitations imposed by some commercial software. He suggests that the presence of local minima in the fitting function means that the parameters derived from the fitting may be subject to much larger uncertainty than often is suggested. He also addresses the difficulty of making accurate numerical Laplace transforms, even when regularization techniques are employed. His general conclusion is that the parameters derived by modeling dielectric data are liable to have considerable uncertainty.
Keywords :
Laplace transforms; curve fitting; dielectric materials; electric breakdown; insulation testing; algorithmic convergence; dielectric breakdown measurements; dielectric data modelling; fitting function; linear data fitting; nonlinear data fitting; numerical Laplace transforms; regularization techniques; Curve fitting; Dielectric loss measurement; Dielectric losses; Dielectric measurements; Frequency; Optical losses; Physics; Pulse measurements; Surface fitting; Temperature;
Journal_Title :
Dielectrics and Electrical Insulation, IEEE Transactions on
DOI :
10.1109/TDEI.2002.1038667