Method for judging internal and external faults of alternating current transmission line based on fractal dimension
A fractal dimension, fault discrimination technology, applied in the direction of measuring electricity, measuring electrical variables, measuring devices, etc., can solve the problem of indistinguishable internal and external faults, etc.
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Embodiment 1
[0066] Example 1: The transmission line is at a distance of 70km from the protection installation place (F 1 ) A phase-to-ground fault occurs, the transition resistance is 10Ω, the time window length is 1ms, and the sampling frequency is 1MHz.
[0067]The specific steps of the AC transmission line fault discrimination method based on the fault voltage fractal dimension are as follows:
[0068] 1.1 After the high-voltage AC transmission line fails, the starting element starts immediately, and within a short time window, the fault voltage at the line protection is measured U i [ k ]; then use the differential filter method to obtain the phase voltage fault component Δ U i [ k ]:
[0069] ;
[0070] In the formula, i =A,B,C; N T is the number of sampling points corresponding to the power frequency cycle, k Indicates the 1st, 2nd, 3rd... N sampling points, U i [ k ] is the collected voltage, Δ U i [ k ] is the phase voltage fault component;
[0071] 1.2 The fa...
Embodiment 2
[0085] Example 2: The transmission line is 220km away from the M-end busbar (F- 2 ) A phase-to-ground fault occurs, and the transition resistance is 10Ω.
[0086] Through the same method as embodiment 1, find the fractal dimension of the line mode voltage D =1.08037, satisfying the criterion D≤ 1.2, it is determined that this fault is an out-of-area fault.
[0087] In the present invention, different fault distances, different grounding resistances and different angles are simulated and verified, and the fractal dimension is obtained D c (F), the result of which is as Figure 7 , 8 , as shown in 9. Figure 7 is the simulation fractal dimension diagram under different fault distances; the vertical coordinate D c (F) is the box dimension, the abscissa is the fault distance L, and the unit is kM. Figure 8 is the simulation fractal dimension diagram under different transition resistances; the ordinate D c (F) is the box dimension, the abscissa is the fault transition re...
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