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Actually, you are using these exact same coils in your own circuit! (At least according to the diagram you published). Thats one factor, and the other factor is, these are the only coils >10A and anywhere near 100...500µH that my suppliers can supply.
Of course, I only really need ones for 5A output. But then, I'm not sure if the "DC rating" is the measure to go by, since the current is not steady. For all I know, the current peaks while "sloshing back and forth" could be 2 or 3 times that. So yes, I'd rather have it a little overdimensioned. Also maybe I'll want to use this circuit someday to charge other voltages at higher currents. i.e. a 144V battery could be charged with 30A :-P
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