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75W SMPS with TEA1507 Quasi- Resonant Flyback controller - NXP ...

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Philips Semiconductors<br />

Application Note<br />

AN00047<br />

APPENDIX 2 DETAILED PERIOD DESCRIPTION OF QR WAVEFORMS<br />

The period can be divided into four time intervals, in chronological order:<br />

Interval 1: t0 < t < t1 primary stroke tPRIM = t1 – t0<br />

Interval 2: t1 < t < t2 commutation time tCOM = t2 – t1<br />

Interval 3: t2 < t < t3 secondary stroke tSEC = t3 – t2<br />

Interval 4: t3 < t < t00 dead time tDEAD = t00 – t3<br />

Three situations of VIN <strong>with</strong> regard to n⋅VOUT has to be distinguished:<br />

1] V IN = n⋅V OUT<br />

Iinductor (A)<br />

Vdrain (V)<br />

I 1 ( t )<br />

I 2 ( t )<br />

I 3 ( t )<br />

I 4x ( t )<br />

I 4 ( t )<br />

__ZERO<br />

t 0<br />

V 1 ( t )<br />

V 2 ( t )<br />

V 3 ( t )<br />

V 4x ( t )<br />

V 4 ( t )<br />

V IN<br />

__ZERO<br />

1.5<br />

0.5<br />

0.5<br />

1<br />

tt0 0<br />

0<br />

tt0 0<br />

0 1 . 10<br />

Situation Drain voltage at switch-on<br />

1] VIN = n⋅VOUT<br />

ZVS<br />

2] VIN < n⋅VOUT<br />

ZVS<br />

3] VIN > n⋅VOUT<br />

LVS<br />

6<br />

2 . 10<br />

6<br />

t1 t t<br />

1<br />

1 t t<br />

2<br />

2<br />

3 . 10<br />

6<br />

4 . 10<br />

t 1 t 2<br />

One period of Inductor Current<br />

6<br />

5 . 10<br />

6<br />

38<br />

6 . 10<br />

t<br />

t (s)<br />

6<br />

7 . 10<br />

6<br />

t 00<br />

t3<br />

t3 t 00<br />

= 0<br />

t 1 = 3.527 μ<br />

t 2 = 4.197 μ t 3 = 7.724 μ t 00x = 11.194 μ T tot = 11.194 μ<br />

600<br />

400<br />

200<br />

0 1 . 0<br />

10<br />

6<br />

2 . 10<br />

6<br />

3 . 10<br />

6<br />

t 1<br />

4 . 10<br />

One period of Drain Voltage<br />

t 2<br />

6<br />

5 . 10<br />

6<br />

6 . 10<br />

t<br />

t (s)<br />

6<br />

7 . 10<br />

Figure 26 Waveforms V IN = n⋅V OUT<br />

Interval 1: t 0 ≤ t < t 1 primary stroke:<br />

During this interval inductive current will be built up in the transformer, which is also called ‘Magnetization’ and/or<br />

primary stroke. End point t00 of the period is the start point of the new period t0. As can be seen in Figure 26 the<br />

MOSFET is switched on at zero drain voltage called ZVS. The inductive current and drain voltage during this<br />

interval can be described by:<br />

I<br />

V<br />

L<br />

D<br />

V<br />

( t)<br />

=<br />

L<br />

( t)<br />

= I<br />

IN<br />

P<br />

L<br />

⋅(<br />

t − t ) + I ( t )<br />

( t)<br />

⋅(<br />

R<br />

0<br />

SENSE<br />

L<br />

0<br />

+ R<br />

DS ( ON )<br />

)<br />

where I ( t ) = 0 and t = 0<br />

L<br />

0<br />

0<br />

6<br />

t 3<br />

t 3<br />

8 . 10<br />

8 . 10<br />

6<br />

6<br />

9 . 10<br />

9 . 10<br />

Equation 17<br />

6<br />

6<br />

1 . 10<br />

1 . 10<br />

5<br />

5<br />

1.1 . 10<br />

1.1 . 10<br />

5<br />

t 00<br />

t 00<br />

5

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