Title :
Multifractal characterization of Laplacian fractals
Author :
Arendt, L. ; Kinsner, W.
Author_Institution :
Manitoba HVDC Res. Center, Winnipeg, Man., Canada
Abstract :
This paper presents a multifractal approach to characterizing, or fingerprinting, the structural complexity of similar-looking, yet different, discharge trees caused by dielectric breakdown. Multifractal characterization of Laplacian fractals involves the computation of a spectrum of fractal dimensions, providing much more information than is possible from just a single fractal dimension. This allows us to measure and analyze the sensitivity of the generated discharge trees to various model parameters and to various mathematical techniques
Keywords :
Laplace equations; discharges (electric); fractals; Laplacian fractals; dielectric breakdown; discharge trees; fractal dimensions spectrum computation; mathematical techniques; multifractal characterization; multifractal measures; single fractal dimensions; Acceleration; Corona; Density measurement; Dielectric breakdown; Eigenvalues and eigenfunctions; Fractals; HVDC transmission; Iterative methods; Laplace equations; Power measurement;
Conference_Titel :
WESCANEX 97: Communications, Power and Computing. Conference Proceedings., IEEE
Conference_Location :
Winnipeg, Man.
Print_ISBN :
0-7803-4147-3
DOI :
10.1109/WESCAN.1997.627123
