Fractal dimension-based ultrahigh voltage DC transmission line boundary element method
A UHV DC and fractal dimension technology, applied to electrical components, emergency protection circuit devices, etc., can solve problems such as easy to malfunction, affected by noise interference, and the rate of change of directional traveling waves
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[0067] Simulation model such as figure 1 As shown, a positive grounding fault occurs at a distance of 150km from the protection installation, the grounding resistance is 1Ω, the time window length is 2ms, and the sampling frequency is 100kHz.
[0068] (1) After the DC line fails, the starting element starts immediately, according to the formula:
[0069] (1)
[0070] Find the line-mode voltage , the line-mode voltage waveform is as Figure 4 as shown in (a);
[0071] (2) Fractalize the line-mode voltage and find its fractal dimension D , whose sampling frequency f 100kHz, sample sequence length n for 200 points. The present invention adopts box dimension as the method for finding fractal dimension, establishes time series: , ,…, , ( i= 1,2,…, n ) for the i The sampling value of a sampling point.
[0072] (3) Take the time scale as r ( , in the present invention r =50) divide the time series into time period: , ...
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