EEE Formula: Transformer

Transformer:

EMF of Primary Winding/Phase, E_p = 4.44N_Pfφ_M Volts

EMF of Secondary Winding/Phase, E_S = 4.44N_Sfφ_M Volts

Transformation Ratio , k or a = E_p / E_S = N_p / N_S  = I_S / I_P

No Load Loss, ω_O  = V_i I_O Cosφ_O

Working Component, I_W = I_O Cosφ_O

Magnetizing Component, I_µ  = I_O Sinφ_O

No load Power factor, Cosφ_O = ω_O  / V_i I_O

Condition for Maximum Efficiency is:  Core Loss = Copper Loss

Hysteresis Loss, P_h = K_h f B_m 1.6  (Watt) [Here, K_h = Constant, B_m = Max. Flux Density, f= Frequency]

Eddy current loss, P_e = K_e f² B_m² t²  (Watt) [Here, K_e = Constant, B_m = Max. Flux Density, f= Frequency, t = Thickness of lamination sheet]

KVA_MAX = KVA_RATED √(Core Loss/F.L Copper Loss)

Full load copper loss 400W, in half load copper loss is: 400x (1/2)²

Auto Transformer:

Transformed Power = Delivered Power x (1-a)

Conducted Power = Delivered Power – Transformed Power