Performance measurement and analysis of isolated DC-DC flyback converter

Theory

The circuit configuration of flyback converter is given in Fig. 1.

Fig.1 Circuit configuration of Flyback Converter.


Based on the operation of switch (Sw: ON/OFF-state) the operating principle of the converter is explained below briefly.

Mode – I : Switch (Sw): ON and Diode (Db): OFF


Fig. 2(a) Equivalent circuit in mode- I.

Mode – II : Switch (Sw): OFF and Diode (Db): ON


Fig. 2(b) Equivalent circuit in mode-II.


a) Voltage conversion ratio or voltage gain (M)

Voltage across inductor Lm is:

Mode – I :

..(1)


Mode – II :

..(2)



Applying volt-sec balance on inductor (eqn. 1 and 2)

..(3)

On solving eqn. 3

..(4)


b) Power balance under ideal condition (neglecting losses):
Under ideal condition, input power must be equal to output power, hence



..(5)


 
..(6)



Substituting eqn. 4 into eqn. 10

..(7)

c) Inductor current ripple (Lm):


From eqn. 1

..(8)

Therefore, the inductor ripple current is


..(9)

d) Current through various components:

The current through various components is given in Fig. 3.

Fig. 3 Current through various components.




e) Voltage and current stress on various components:


Component Voltage stress Current Stress
Magnetising Inductor (Lm)
Capacitor (C)
Switch (Sw)
Diode (Db)



g) Efficiency analysis:


..(10)


..(11)


The power loss occurring in various components are given below.

Power loss in inductor:


..(12)


Power loss in capacitor:

..(13)

Power loss in switch:


..(14)


Power loss in Diode:

..(15)

Total power loss:


..(16)



g) Effect of non-idealities on voltage gain expression:



Fig. 4. Circuit configuration of flyback converter with non-idealities





Voltage across inductor Lm is

Mode – I :



..(17)


Mode – II :



..(18)


Applying volt-sec balance on inductor (eqn. 17 and 18)

..(19)

Simplifying eqn. (19) results in



..(20)


(Voltage gain expression does not include ESR of capacitor rc)

(n=Ns/Np)


("For more Information on mathematical analysis, see references")