Appendix C: Voltage Peak Value and Current r.m.s Value, at the Secondary of a Saturated Current Transformer
Let us consider a primary current with a peak value 1 p at the CT saturation limit.
Let 2 p be the peak value of a primary current greater than 1 p, which is thus going to saturate the CT.
Let 1 and 2 be the peak values of the currents at the CT secondary corresponding to 1 p and 2 p through the transformation ratio. 2 is the design value that would be obtained if there was no saturation phenomenon.
The current curves look like those in Figure C-1 (see Figure 6-5).
Figure C-1: form of current curves at the CT secondary
According to section 6.1.2, the magnetic induction B is proportional to ? I dt.
The surface designed by the current is thus proportional to B. The current 1 being at the saturation limit, the surface S 1 designed by 1 is proportional to the saturation magnetic induction.
Let us take x = ? t:
The surface S 2 designed by the current I 2 is:
x s: saturation angle corresponding to the instant of saturation
The current I 2 saturating the TC at angle x s, the surface S 2 saturation magnetic induction, we thus have S 2 = S 1.
Voltage peak value
Knowing the saturation angle, we can deduce the current peak...