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1 kVA, 230 kVA, 50 Hz, single phase transformer has an eddy current loss of 30 W. The eddy current loss when the transformer is excited by a DC source
Question

1 kVA, 230 kVA, 50 Hz, single phase transformer has an eddy current loss of 30 W. The eddy current loss when the transformer is excited by a DC source of same voltage will be:

A.

zero watt

B.

more than 30 W

C.

30 W

D.

less than 30 W

Correct option is A

The formula for eddy current loss is:Pe=keBm2f2Where: Pe:Eddy current loss ke:Constant depending on the material and geometry of the core Bm:Maximum flux density f:Frequency of the supplyEddy current loss is directly proportional to the square of thesupply frequency. When a DC source is applied: Frequency (f)=0Substituting f=0 into the equation:Pe=keBm2(0)2=0\textbf{The formula for eddy current loss is:}\\[8pt]P_e = k_e B_m^{2} f^{2}\\[14pt]\textbf{Where:}\\[6pt]\bullet\ P_e : \text{Eddy current loss}\\\bullet\ k_e : \text{Constant depending on the material and geometry of the core}\\\bullet\ B_m : \text{Maximum flux density}\\\bullet\ f : \text{Frequency of the supply}\\[12pt]\text{Eddy current loss is directly proportional to the square of the}\\\text{supply frequency. When a DC source is applied:}\\[10pt]\bullet\ \text{Frequency } (f) = 0\\[14pt]\text{Substituting } f = 0 \text{ into the equation:}\\[10pt]P_e = k_e B_m^{2} (0)^{2} = 0​​

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