抄録
The three-dimensional reconstructed images of real electrical trees and their fractal characteristics are described. A method for three-dimensional reconstructed images of real electrical trees is based on serial sectioning of a specimen with a microtome, and stacking of the image-processed information from the sections using a personal computer. Specimens in this investigation were cross-linked polyethylene (XLPE) and the experiment for tree was carried out in a needle-plane electrode geometry under AC or impulse voltage application. The fractal dimensions for the three-dimensional reconstructed trees and their two-dimensional projected patterns were estimated mainly by means of a box counting method.
The obtained results show that the three-dimensional reconstructed images of real electrical trees have fractal properties, and the fractal dimension for tree-like trees is less than 2 and the fractal dimension for ball-like trees lies between 2 and 3. The results also indicate that there is a relationship between the fractal dimension of the three-dimensional reconstructed trees and that of the two-dimensional projected patterns.
