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hi in case ; we want to calculate the amp and we have MVA and V we need here to multiply by root 3 . my question is what is the equation prove this relation . thanks all
Amps = MVA x 1000/ KV x 1.73. Eg 1 mva at 12 kv = 1 x 1000/12 x 1.73 = 48 amps.
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Good example could be calculation of transformer currents.
Take transformer of apparent power 2.5MVA
· In case of single phase transformer
S = UpxIp = UsxIs = 2.5MVA = 2.5x106VA
Primary voltage: Up = 10kV = 10x103V
Primary current: Ip = S/Up = [2.5x106 VA/10x103V] = 250A
Secondary voltage: Us = 400V
Secondary current: Is = S/Us = [2.5x106VA/400V] = 6250A
· In case of three phase transformer
S = √3xUpxIp = √3xUsxIs = 2.5MVA = 2.5x106VA
Primary voltage Up = 10kV = 10x103V
Primary current: Ip = S/√3xUp = [2.5x106VA/√3x10x103V] = 144.5A
Secondary voltage Us = 400V
Secondary current: Is = S/√3xUs = [2.5x10x106VA/√3x400V] = 3612.7A