Abstract
In order to effectively predict the development of GIS PD, the fractal dimension and catastrophe theory is used in this chapter. A large number of experimental results described by a lot of literatures have confirmed the fractal feature of PD signal. So the fold model of the catastrophe theory can be used to analyze and monitor GIS PD, and a new GIS PD forecasting methodology is presented based on the fractal dimension and catastrophe theory in this chapter. GIS PD fractal dimension is used as variables to predict the GIS PD development in the methodology. The predicted voltage and time of the mutation points have a certain consistency after applying the folded model to the data of the dimension of different signals. Then the general statistical method is applied and the voltage of mutation point after removing the maximum and minimum can be got by analyzing the test data of GIS PD through this methodology. This chapter shows the effectiveness and feasibility of the methodology. It has a certain theoretical significance and practical value.
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Quan, Ys. et al. (2014). Methodology of Forecasting the Developing Tendency of a GIS PD Based on the Fractal Dimension and Catastrophe Theory. In: Xing, S., Chen, S., Wei, Z., Xia, J. (eds) Unifying Electrical Engineering and Electronics Engineering. Lecture Notes in Electrical Engineering, vol 238. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4981-2_2
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DOI: https://doi.org/10.1007/978-1-4614-4981-2_2
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