Bypassing a buck converter for redundancy?

uk_caver

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I was wondering what might happen if a 'bypass' resistor was added between B+ and LED+ of a buck driver, such that there was always some current flowing from the supply?

The particular application I'm thinking of is for a single LED driver (PT4105/AX2002) which is running off 4 AAs, so typically ~5V input with NiMHs, via a single-level driver.
The idea is to add some redundancy at the expense of a little efficiency, with a resistor chosen to pass a fairly small fraction of the total power, maybe 20% at maximum battery voltage.

I'll cobble together a test circuit and let it run on the bench, but I was wondering if someone could say with confidence whether the idea is likely to be absolutely fine, or whether it might introduce any kind of instability into the circuit?
 
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