OP
davesparks
Is the kiln 1 or 3ph internally?
If it is 1ph & you want to change it to 3ph, then forget all you know about BS7671, start looking to EN60204-1 , En 13849-1 & -2, EN 62061 if it has electronic control, EN 13850 if it has emergency stops, etc. etc. much more info needed.
Lovely, but I think he's already said that the conversion of the kiln to TP is being handled by others. He is only enquiringly about the supply up to the machine.