I see your point, "one off-all off" is a good thing here.
But ok, the schematic in the top post is , I believe inadequate, and I believe you will agree with me...
They are SOT23's used for Q4 and Q5.
Clearly these are over-powered with mildly different total string vfs....the leds are LA B6SP from osram, and these are matched but each led can differ in vf by 0.15V.
Clearly, sot23's are inadequate?
Yes I agree that bigger transistor packages can be used for Q4 and Q5...but bigger BJT package transistors are not likely to be nearly so well vbe matched....this is due to the difficulty of making matched power transistors due to the greater volume of silicon in these bigger packages.
Therefore, do you not think that the following solution, (called "CLAMPED CURRENT") involving FET, DPAK (or sot89) current clamps is far far better.....?
The FETs are virtually zero resistance when the led strings happen to be near perfect matches....but if there should be significant un-sharing of current, then the respective fet will clamp the current to 120mA maximum.....and being a dpak, or sot89 package, it is far far more able to handle this power.
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Incidentally, the following attached ("Constant off time boost") drives the exact same load with a constant off time boost converter, and doesn't bother with the sot23 bjts which are going to be over-powered when poorly matched led strings occur.
-Just puts the entire 26 LEDs in one long series string.....so much simpler!
Why did ti.com not just do this?