Electronic – Power loss into RCD snubber

snubberswitch-mode-power-supply

Here is what I read from Ridley Engineering http://www.ridleyengineering.com/images/phocadownload/12_%20flyback_snubber_design.pdf :

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I do not get why if we increase the clamp voltage, ie, if we reduce the capacitor and increase the resistance, we reduce the dissipation as the energy to dissipate is always the same and depends only on the leakage inductance of the transformer. Nevertheless i could understand that if we reduce the time during which the inductance release its energy, the transition between the on state and the off state will be faster and then there is less losses. But this has nothing to do with power loss into the snubber. Could someone explain it to me ?

Thank you very much !

Best Answer

I don't think that the assertion is theoretically true.

The snubber (aka diode-RC clamp) power dissipation will be the same if you halve the capacitance. The power dissipation is produced by the resistor because it needs to "reset" the voltage acquired by the clamp capacitor after it received leakage inductance energy during flyback. It has a certain length of time to reset that voltage hence RC must be fixed.

So, if you half the capacitance, you must double the resistance.

Given this well-known formula for capacitor energy (W): -

$$W = \dfrac{1}{2}\cdot CV^2$$

You can re-arrange for voltage: -

$$V = \sqrt{\dfrac{2\cdot W}{C}}$$

So, if you halved the capacitance, voltage would rise by \$\sqrt2\$.

The power dissipated by the resistor would be related to the peak voltage thus: -

$$P = \dfrac{V_{PK}^2}{R}$$

So if the capacitance halved, R would double and \$V_{PK}\$ would increase by \$\sqrt2\$: -

$$P = \dfrac{\sqrt2^2\cdot V_{PK}^2}{2R} = \dfrac{V_{PK}^2}{R}$$

In other words no change in dissipation.

There may be other nuances I've not considered of course but for a simple circuit, I believe the power dissipated by the clamp is unchanged when C changes.