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A 100 kva 2200/400 v transformer has R1=0.3 ohm,x1=1.1ohm,R2=0.01ohm,X2=0.035ohm.calculate the equivalent impedance of the transformer and total copper losses?
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A 100 kva 2200/400 v transformer has R1=0.3 ohm,x1=1.1ohm,R2=0.01ohm,X...
Equivalent Impedance of Transformer


To calculate the equivalent impedance of the transformer, we need to combine the resistance and reactance of both primary and secondary windings. The formula to calculate the equivalent impedance is as follows:

Zeq = (R1 + R2) + j(X1 + X2)

Where,

R1 = Resistance of primary winding
R2 = Resistance of secondary winding
X1 = Reactance of primary winding
X2 = Reactance of secondary winding

Substituting the given values in the above formula, we get:

Zeq = (0.3 + 0.01) + j(1.1 + 0.035) = 0.31 + j1.135 ohm

Therefore, the equivalent impedance of the transformer is 0.31 + j1.135 ohm.

Total Copper Losses


Total copper losses are the sum of copper losses in both primary and secondary windings. Copper losses are the power lost due to the resistance of the windings. The formula to calculate copper losses is as follows:

Pc = I^2R

Where,

Pc = Copper losses
I = Current flowing through the winding
R = Resistance of the winding

To calculate the copper losses in the primary winding, we need to calculate the current flowing through it. The formula to calculate the current is as follows:

I1 = (KVA x 1000) / (V1 x √3)

Where,

I1 = Current flowing through primary winding
KVA = Rated power of the transformer
V1 = Voltage of the primary winding

Substituting the given values in the above formula, we get:

I1 = (100 x 1000) / (2200 x √3) = 27.15 A

Using the above formula, we can calculate the current flowing through the secondary winding as well.

I2 = (KVA x 1000) / (V2 x √3) = (100 x 1000) / (400 x √3) = 144.34 A

Now, we can calculate the copper losses in both primary and secondary windings using the above formulas.

Pc1 = I1^2R1 = 27.15^2 x 0.3 = 221.27 W

Pc2 = I2^2R2 = 144.34^2 x 0.01 = 208.98 W

Therefore, the total copper losses in the transformer are Pc = Pc1 + Pc2 = 430.25 W.
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A 100 kva 2200/400 v transformer has R1=0.3 ohm,x1=1.1ohm,R2=0.01ohm,X...
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A 100 kva 2200/400 v transformer has R1=0.3 ohm,x1=1.1ohm,R2=0.01ohm,X2=0.035ohm.calculate the equivalent impedance of the transformer and total copper losses? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 100 kva 2200/400 v transformer has R1=0.3 ohm,x1=1.1ohm,R2=0.01ohm,X2=0.035ohm.calculate the equivalent impedance of the transformer and total copper losses? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 100 kva 2200/400 v transformer has R1=0.3 ohm,x1=1.1ohm,R2=0.01ohm,X2=0.035ohm.calculate the equivalent impedance of the transformer and total copper losses?.
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