Challenge

Project 1

Buck converter:

It is part of dc-to-dc converter use for step down the voltage. A Buck converter steps down a DC voltage from the input to the output. The circuit operation depends on the conduction state of the MOSFET: On-state: The current through the inductor increases and the diode blocks.

The buck converter is so named because the inductor always “bucks” or acts against the input voltage. The output voltage of an ideal buck converter is equal to the product of the switching duty cycle and the supply voltage.

CCM:

Buck Converter Continuous conduction mode (CCM) was analysed in continuous conduction mode (CCM), i.e., the inductor current was always greater than 0.

Given data for design the buck converter:

Vout = 30v

Vin = 40-50v (we select 50v)

Power (P) = 500w

Switching frequency assume = 50khz

Now calculate:

Duty cycle (D):

D = Vout/Vin

= 30/50

=0.6

Resistance value (R):

R = Vout^2/P

= 30x30/500

= 1.8ohm

Inductor current:

I = P/Vout

= 500/30

= 16.67amp

Inductor current ripple is < 10%

∆IL = 0.1 X 16.67

= 1.67 amp

Inductor value (L):

L = (Vout / fs*∆IL) *(1-D)

= (30/50x1000x1.67)*(1-0.6)

=0.1437mH

Capacitor value (Cout):

Cout= (1-D) / 8*L*fs^2*(∆V0/V)

=(1-0.6) / 8*0.1437mH*(50k)^2*(0.01)

=0.4 / 28740

= 13.9179µF

Capacitor such that the output voltage ripple is < 10%.

Now we are find out the parameter:

Parameter

Value

Output voltage Vout

30v

Input voltage Vin

50v

Output current I

16.67Amp

Duty cycle D

60%

Resistance R

1.8Ω

Inductor L

0.1437mH

Capacitor C

13.9179µf

Ripple current ∆IL

1.67amp

Power P

500w

Switching frequency (Assume) fs

50Khz

inductor current ripple

<10%

capacitor output voltage ripple

<10%

Parameters setting:

Model:

Output:

Given data for design the buck converter:

Vout = 300v

Vin = 400-500v (we select 500v)

Power (P) = 5kw

Switching frequency assume = 50khz

Now calculate:

Duty cycle (D):

D = Vout/Vin

= 300/500

=0.6

Resistance value (R):

R = Vout^2/P

= 300x300/5000

= 18ohm

Inductor current:

I = P/Vout

= 5000/300

= 16.67amp

Inductor current ripple is < 10%

∆IL = 0.1 X 16.67

= 1.67 amp

Inductor value (L):

L = (Vout / fs*∆IL) *(1-D)

= (300/50x1000x1.67)*(1-0.6)

=1.4371mH

Capacitor value (Cout):

Cout= (1-D) / 8*L*fs^2*(∆V0/V)

=(1-0.6) / 8*1.437mH*(50k)^2*(0.01)

=0.4 / 28740

= 1.39179µF

Capacitor such that the output voltage ripple is < 10%.

Now we are find out the parameter:

Parameter

Value

Output voltage Vout

300v

Input voltage Vin

500v

Output current I

16.67Amp

Duty cycle D

60%

Resistance R

18Ω

Inductor L

1.4371mH

Capacitor C

1.39179µf

Ripple current ∆IL

1.67amp

Power P

5kw

Switching frequency (Assume) fs

50Khz

inductor current ripple

<10%

capacitor output voltage ripple

<10%

Parameters:

Model:

Current & voltage of Mosfet & diode

Output:

Parameters:

Model:

Output:

The end....

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