You can use regular 2 conductor speaker wire (it's just power... not communications). The wire size depends on distance and power draw units (PDUs).
In general, 18AWG will work for short runs under 50ft), 16AWG will work for most runs, and 14-12AWG can be required for really long runs.
There's a chart for Sivoia QS shades which describes the wiring requirments:
[Link: lutron.com]There might be a similar document for Triathlon, but I haven's seen it.