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Registered Member #3700
Joined: Sat Feb 19 2011, 12:59PM
Location:
Posts: 107
Hi Newton:
You wrote;
""The next step is calculate the maximum induction in the ferrite core when a 0.001 uF capacitor discharge 5000V on the 2 turns primary. I understand the core shall be not saturated during the discharge. if you can help me it will be nice. ""
Let me try...
The hollow ferrite core cross section could be: Ac = (0.017^2 - 0.009^2) X (pi / 4) Ac = 0.000163 m2
The characteristic impedance: Zo = (L / C)^(1/2)
Zo= ((0.5 x 0.000001)/(0.001 x 0.000001))^0.5
Zo =22.36 ohms
Assuming the resistive component of inductor and ckt <<Zo,
Peak current Ipk = Ec / Zo
Ipk =5000 / 22.36
Ipk = 223.6A
Discharging time t = (C x L)^0.5
t = ((0.001 x 0.000001)x(0.5 x 0.000001))^0.5
t = 0.0224 x 0.000001 s
t= 0.0224 us
Fo = 1/(2 x pi x t)
Fo = 1/(2 x pi x 0.0224) = 7.11Mhz
Maximun induc tion in the core = Bmax = (Epk x t)/(n x Acx)
Bmax = (5000 x 0.0224 x 0.000001)/(2 x 0.000163)
Bmax = 0.345 T
I gest that your ferrite core material is good up to 0.35~0.4T before saturation.
So, if this is true the core induction does not saturate during the capacitor discharge.
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FERRITE CORE COIL CALCULATION
