If the BTU rating is on the unit, you can probably get a better idea, but most 240V window AC units in the 8,000 to 10,000 BTU range have very similar specs - they require a 240V / 15A circuit, have an EER of ~ 9.5 and consume ~ 5A in normal operation.
However, they will draw more amperage for a number of seconds when they are turned on and when the thermostat cycles them on and off, and can also can cause a slight voltage drop depending on the type and condition of the compressor.
As the Torus conditioners don't provide voltage regulation (I don't think), this might present a temporary performance loss and it's also possible for the compressor and fan motors to induce some noise on the circuit, although the Torus may filter it out.
You probably wouldn't likely trip the circuit breaker when it cycles on and off, but local codes often require that the circuit is dedicated and not shared with other devices.
I had previously searched for a 240V plug-in power meter similar to P3's 120V Kill A Watt units, but was unable to find any. A clamp-type multimeter could provide the voltage and current measurements, but are quite a bit more expensive if they have the capability to record low or peak values.
Steve