the efficiency of 400kva single phase transformer is 98.77 percent when delivering full load at 0.8 power factor lagging and 99.13 at half full load at unity power factor calculate iron loss n coppper loss

 

Answer:

Iron Loss = 1011.67 Watt

Copper Loss = 2973 Watt

Step-by-step explanation

Given data :

KVA Rating of (S)= 400 KVA

Efficiency at FL 0.8 Lag PF = 98.77 %

Efficiency at HL UPF = 99.13 %

Iron Loss (P_i) = Unknown

Copper Loss (P_c) = Unknown

eq(1) : P_i + P_c = 3.985

eq(2) : P_i + P_c/4 = 1.755

Subtract eq(1)-eq(2)

P_c - P_c/4 = 3.985 - 1.755

3P_c/4 = 2.23

P_c = 2.23*4/3

P_c = 2.973 KW

P_c = 2973 W (Copper Loss)

Now again from eq(1)

P_i = 3.985 - P_c

P_i = 3.985 - 2.973

P_i = 1.011 KW

P_i = 1011.67 W (Iron Loss)

Hence,

Iron Loss = 1011.67 Watt

Copper Loss = 2973 Watt

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