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So lets say I size the elements so that the designed maximum power (12 kW) is achieved at 140 V with new elements. So 12 kW is the real power and apparent power is 32,4 kW (calculated with 230 V line voltage). That would give a power factor of 0,37 when the furnace is operated at full power and most of the time the power factor would be even poorer. Am I getting it right and is this really how SiC furnaces are operated with a phase-angle firing SCR without a transformer?
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