TRV waveform enveloping line and standard value parameter calculation method based on coordinate system transfer
A technology of coordinate system conversion and parameter calculation, applied in complex mathematical operations, circuit breaker testing, measuring devices, etc.
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Embodiment 1
[0052] Such as figure 1 As shown, the calculation method of the TRV (transient recovery voltage) waveform envelope and standard value parameters based on coordinate system conversion, for the TRV waveform with two parameters, includes the following steps:
[0053] 1) Through the TRV waveform data, search for the starting point of TRV, and set the threshold of the increment in the y-axis direction as Γ y , search for the increment between one point and the next point in the y-axis direction in the Cartesian coordinate system is greater than the threshold Γ y , then define this point as the starting point of TRV data (x 0 ,y 0 );
[0054] 2) With the starting point as the origin of the Cartesian coordinate system, the change formula for converting the data in the first quadrant of the coordinate system from the Cartesian coordinate system (x, y) to the polar coordinate system (r, θ) is:
[0055]
[0056] In the formula, r is the polar diameter in polar coordinates, and θ ...
Embodiment 2
[0067] Such as figure 2 As shown, the calculation method of TRV (transient recovery voltage) waveform envelope and standard value parameters based on coordinate system conversion, for a concave four-parameter TRV waveform, includes the following steps:
[0068] 1) Steps 1) to 5) of Embodiment 1 are used to calculate the first tangent line, the second tangent line and the third tangent line tangent to the TRV waveform data.
[0069] 2) In the Cartesian coordinate system, point As the starting origin, set the step size of the origin in the y-axis direction as +Δy, and establish a local coordinate system in the y-axis direction in the loop operation, and the established local coordinate system x-axis is opposite to the global coordinate system, and y Axes are reversed from the global coordinate system.
[0070] 3) In the first calculation, the first quadrant and the interval in The data consists of the origin of the local Cartesian coordinate system Convert to polar coord...
Embodiment 3
[0076] Such as image 3 , Figure 4 As shown, the calculation method of TRV (transient recovery voltage) waveform envelope and standard value parameters based on coordinate system conversion, for a concave four-parameter TRV waveform, includes the following steps:
[0077] 1) Steps 1) to 5) of Embodiment 1 are used to calculate the first tangent line, the second tangent line and the third tangent line tangent to the TRV waveform data.
[0078] 2) In the Cartesian coordinate system, point As the starting origin, set the step size of the origin in the y-axis direction as +Δy, establish a local coordinate system that increases in the y-axis direction in the loop operation, and the x-axis of the established local coordinate system is opposite to the global coordinate system, and y Axes are reversed from the global coordinate system.
[0079] 3) In the first calculation, the first quadrant and the interval in The data consists of the origin of the local Cartesian coordinate s...
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