I would suggest using the following formula to calculate the required size of the transformer:
Transformer size (VA) = (Total Amps x Secondary Voltage)/Primary Voltage
In this case, the required transformer size would be:
Transformer size = (10A x 120V)/480V = 2.5 kVA
This means that a transformer with a minimum capacity of 2.5 kVA should be used to power the 9 temperature controllers and 2 power supplies. It is important to note that the transformer size should always be slightly larger than the calculated value to allow for any potential voltage drops or fluctuations.
Additionally, it is important to consider the power factor of the equipment being powered by the transformer. If the power factor is less than 1, the transformer size should be adjusted accordingly to ensure proper power supply.
In summary, using the appropriate formula and considering the power factor, the right size transformer can be determined to efficiently power the equipment in question.