Hi,
I have been looking at doing something along these lines myself, for testing some three phase circuits. You speak about square waves, are you looking at using some sort of switchmode output stage? You may be better off generating sinewave signals, and feeding them through linear power amplifiers. This will be somewhat inefficient, but probably acceptable for this application.
One approach is to start off with a single phase sinewave, and phase shift it using R-C networks to generate the three phases. I think Mike did a video on this for powering a three phase gyroscope motor. This is probably OK if you want a fixed frequency, but it will be a bit difficult to maintain the correct amplitude and phase if you vary the frequency.
Alternatively, a phase shift oscillator can be configured so that it is symmetrical with respect to the three phases, and all three waveforms are generated simultaneously. See for example
http://www.4qdtec.com/wfg.html. This circuit gives a square wave output, but I imagine it could provide a sinewave signal if suitable amplitude stabilisation was used.