· Lm =148μH, Lk = 0.3μH
· the turns ratio of coupled inductor n = Ns/Np =3· OPERATING FREQUENCY OF THE SWITCH (MOSFET HERE) =100KHz
· Gain formula of converter = ( (2-D) / (1−D) )+nOUTPUT CURRENT
IOUT = POUT / VOUT
IOUT = 60W / 72V
IOUT = 0.833A
INPUT CURRENT
Assume that the converter efficiency is about 100%
POUT = PIN
IOUT = PIN / VIN
IOUT = 60W / 12V
IOUT = 5A
VOLTAGE GAIN CALCULATION
Gain = VOUT / VIN
VIN = 12V
VOUT = 72V
Gain = 72V / 12V
Gain= 6DUTY CYCLE CALCULATION
Voltage gain of converter = ( (2-D) / (1−D) )+n
6 = ( (2-D) / (1−D) )+3
3 = (2-D) / (1−D)
3(1−D) = 2-D
3−3D = 2-D
3−3D = 2-D
1= 2D
D = 0.5
D = 50%
Coupling coefficient calculation
We have,
The coupling coefficient of coupled inductor, k = Lm / (Lm + Lk)
Lm =148μH, Lk = 0.3μH
K = 148μH / (148μH + 0.3μH) = 0.997
COUPLED INDUCTOR DESIGN
Here core used is etd-59.From the datasheet of ETD-59 core
AL=4.7uH
We have,
Mutual inductance = k √LP * LS = 148μH
In paper winding ratio is given about 1:3
Let N be No. of turns in primary and 3N be No. of turns in secondary
LP=N2AL
LS = (3N)2AL
LS=9N2AL
M = k√9N2AL * N2AL
M = k √9N4 * AL2
M= k * 3N2 * AL
148μH =.997 *3 N2 *4.7uH
148μH =14.05 uH * N2
N2 = 148μH / 14.05 uH
N2 = 10.53
N=3.24 =3
No. of turns in primary = 3
No. of turns in secondary =3N =3* 3
No. of turns in secondary = 9
LP= NP2 * AL
LP= 9* 4.7 uH
LP= 42.3 uH
LS= NS2 * AL
LS= 92 * 4.7 uH
LS= 81 * 4.7 uHLS = 380uHOUTPUT CAPACITOR VALUE
FOR A CAPACITOR VOLTAGE CURRENT BASIC RELATION IS
I = C * dV / dt
dV is output ripple voltage. Assume that output ripple voltage is about 0.01% of output voltage
dV = 0.01% * 72V
dV = 0.0072 V
C = I * dt / dV
We have dt = duty ratio/frequency
C = I * D / (F * dV )
C = 0.833A* 0.5/ (100000 Hz* 0.0072 V)
C = 578 uF = 470uF (Standard value)
HardwareWAVE FORMSs2-s1 gate signals
output (attenuation of 10 used)