Refering to the description of the TPS92661-Q1 eval module (http://www.ti.com/lit/pdf/slvua51) I really wonder about the huge inductance of the coils of the two buck-converters for the LEDs (L3 and L4). The Bill of Materials is a little confusing too as it specifies 640uH but has a comment that points to 220uH. In all other current LED driver buck converter schematics I looked at recently comparable inductors had values of 22uH to 68uH ... a whole order of magnitude less.
Now the Eval Module only uses 135mA of current, but a real design with Power-LEDs would run with about one Ampere or more. Shielded inductors with such saturation current and inductance would be huge and expensive.
I would just disregard this if there wasn't some wording in the Datasheet of the TPS92661 to the effect that the buck converter should always run in constant current mode (CCM) so that the coil never stops to supply current.
On the other hand I really don't like this as these values are in contradiction to all other schematics so that I'm not even sure that the LM3409 or the TPS92515 would work with inductors so large. Wasting board space just to find out later that it's not necessary would be bad. Not providing space for coils large enough would be worse. And testing without first making a board is not possible these days.
So assuming that the target is a high-quality per-LED dimming of 8 Power-LEDs with 1 Ampere each using above mentioned chips ... what coil specs do I really need ?