If using speedlight or speedlights on HS up to 1/8000 sync is still not enough power...
fastest DSLR Ive used is 250th. with larger output like Profoto 7b. need more power add another one.. now thats at 2400ws need more then go X4 or generator A/C with 2X 2400 units...
the problem usually is how big an area of light you are creating at what distance.
if you want to kill the sun overhead fly a 8x8 or 12X12 overhead and light from the side.