Question #144160

Example 3.8: Two electric Furnaces are supplied with single-phase circuit at 100 V from

& 3-phase, 13,750 V supply by means of two single-phase Scott-connected transformers with

similar seco;z dary windings when the load on main transformer is 625 kW and on the teaser

is 1000 kW, zohat current will flow in each of 3-phase lines at unity power factor ?

Expert's answer

Transformer coefficient "k=\\frac{N_1}{N_2}=\\frac{13750}{100}=137.5"

Then "\\frac{\\sqrt{3}}{2}\\times 137.5=119.08"

The furnace current is "I_a=\\frac{625\\times 10^3}{100\\times 1}=6250" A

Similarly, "I_b=\\frac{1000\\times 10^3}{100\\times 1}=10000" A

On the three-phase side, "I_A=\\frac{6250}{119.08}=52.49" A.

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