According to the USB standard, a USB device may
- freely draw up to 100 mA
- after negotiating additional power, may draw up to 500 mA
These values are "per port" - or a total all devices connected to a
single port. See
http://en.wikipedia.org/wiki/USB_hub
for a brief explanation of this limitation.
You may want to check the configuration of ports / devices to make
sure you are not exceeding those limits on your existing USB hubs and
ports (and make sure you have enough ports).
Once that is straightened out, it will be difficult to determine the
"most powerful" self-powered USB hub. Many devices such as
http://www.eizo.com/downloads/brochures/pdf/i-stat.pdf
advertise a maximum of 500 mA per port when self powered.
Some will
also advertise an "over current" protection of something like 700 mA
per port (to protect the hub / wiring) as well. There may be cases
where a device can provide more power (without overload) but that
capability will not be advertised.
Please indicate if a general survey of self-powered USB hubs will
answer your question.