A method for identification and detection of spark discharge state based on chaos theory
A spark discharge, state recognition technology, applied in circuits, electric processing equipment, metal processing equipment, etc., to reduce losses, improve processing accuracy and speed
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example 1
[0123] In the example, the maximum Lyapunov exponent is calculated for the sample data collected by a certain type of precision wire-cut electric discharge machine tool. The simulation experiment was carried out with MATLAB R2012b software on the WINDOWS7 system with Intel Core(TM) 2Duo CPU, main frequency 2.33GHz, and 4G memory. Figure 4 A time series of 700 data points for the sample.
[0124] Step 1: Use the discharge state embedding dimension calculation module method to make the lnC-lnr double logarithmic coordinates according to the result of the correlation integral Figure 5 . From top to bottom, they correspond to the change curves when m takes a value from 1 to 30. Observation shows that when m>15, the slope of the straight line in the figure has begun to stabilize.
[0125] Step 2, use the discharge state delay time calculation module to get Image 6 . As can be seen, The first minimum value is reached at about time point 12, so the delay time τ=12 is taken....
example 2
[0131] In an example, the threshold interval division is performed on the sample data collected by a certain type of precision wire-cut electric discharge machine tool as an example. Calculate the maximum Lyapunov exponent of the sample data according to Example 1, and the calculation results are shown in Table 1.
[0132] Table 1 Calculation results of the maximum Lyapunov exponent in the discharge state
[0133]
[0134] According to the obtained sample, the estimated value of the mean and the standard deviation, the threshold interval of the sample confidence of 90% is calculated, and the threshold ranges of the five chaotic spark discharge states are as follows: stable spark discharge threshold interval [0.0062,0.0073], unstable Spark discharge threshold interval [0.00275,0.0032], excessive spark discharge threshold interval [0.00125,0.002], arc discharge threshold interval [0.0054,0.0060], unstable arc discharge [0.0039,0.0045].
example 3
[0136] In an example, when the system is in open circuit or short circuit, the open circuit and short circuit state are determined according to the rule that the sample data mean voltage is 0 or current mean value is 0.
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