Title :
3-D fractal analysis of lightning by the flashes coaxial unification fractal model (CUFM)
Author_Institution :
Electromagn. Compatibility (EMC) Lab., Beijing Inst. of Tracking & Telecommun. Technol. (BITTT), Beijing, China
Abstract :
This paper presents a 3-dimensional (3D) fractal dimension theoretical estimations of the stepped leaders, dart-stepped leaders and return strokes by the coaxial unification fractal model (CUFM). Then, the 2-dimensional (2D) photograph projected fractal dimension is deduced by the rank-nullity theorem. Finally, the numerical simulations are performed by the typical parameters of CUFM. It is found that the outcomes are agree with the lightning fractal dimension observations.
Keywords :
lightning; numerical analysis; 2D photograph projected fractal dimension; 3D fractal analysis; 3D fractal dimension theoretical estimations; CUFM; dart-stepped leaders; flashes coaxial unification fractal model; lightning fractal dimension observations; rank-nullity theorem; return strokes; Corona; DSL; Discharges (electric); Fractals; Lightning; Permittivity; Three-dimensional displays; dart-stepped leader; fractal dimension; lightning; return stroke; stepped leader;
Conference_Titel :
Lightning Protection (ICLP), 2014 International Conference o
Conference_Location :
Shanghai
DOI :
10.1109/ICLP.2014.6973155
