A half-wavelength transmission line protection method based on wave characteristic impedance
A characteristic impedance, transmission line technology, applied in emergency protection circuit devices, electrical components, fault detection according to conductor type, etc., can solve the problem of incomplete half-wavelength AC transmission line protection methods, etc., and achieve the effect of clear selectivity
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[0031] figure 1 is a single-phase uniform transmission line mn with length l, Z 0 =R 0 +jωL 0 and Y 0 =G 0 +jωC 0 It is the impedance and admittance per unit length, ω is the power frequency, and the positive direction of the current on the line is defined as from left to right. Assuming that the distance between point p on the line and the head end m is x, according to the transmission equation of the transmission line, the power frequency voltage of point p and current and power frequency voltage at point m and current satisfy the following relationship
[0032]
[0033] in, is the wave impedance, representing the relationship between the voltage traveling wave and the current traveling wave; is the propagation constant, α represents the amplitude attenuation, and β represents the phase shift. Solve formula (1) to get
[0034]
[0035] In the formula,
[0036]
[0037]
[0038] and It is called forward traveling wave and reverse traveling ...
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