Question

Three identical 9 MVA, 7.2 kV/4.16 kV, single-phase transformers are connected in Y on the high-voltage side and delta on the low voltage side. The equivalent series impedance of each transformer referred to the high-voltage side is 0.12+j0.82 ohms/phase. The transformer supplies a balanced three-phase load of 18 MVA, 0.8 power factor lagging at 4.16 kV. Determine the line-to-line voltage at the high-voltage terminals of the transformer.

Name: 5 three identical 9 mva 72 kv416 kv single phase transformers are connected in y on the high voltage side and delta on the low voltage side the equivalent series impedance of each transforme 71524
Uploaded: 2023-05-29T07:31:00-08:00
Duration: 2 min 36 s
Channel: Madhur L
Description: 5 three identical 9 mva 72 kv416 kv single phase transformers are connected in y on the high voltage side and delta on the low voltage side the equivalent series impedance of each transforme 71524

          Three identical 9 MVA, 7.2 kV/4.16 kV, single-phase transformers are connected in Y on the high-voltage side and delta on the low voltage side. The equivalent series impedance of each transformer referred to the high-voltage side is 0.12+j0.82 ohms/phase. The transformer supplies a balanced three-phase load of 18 MVA, 0.8 power factor lagging at 4.16 kV. Determine the line-to-line voltage at the high-voltage terminals of the transformer.

Added by Michelle A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/29/2023

Step 1

The load is 18 MVA with a line-to-line voltage of 4.16 kV and a power factor of 0.8 lagging. First, calculate the apparent power per phase: \[ S_{\text{phase}} = \frac{S_{\text{total}}}{3} = \frac{18 \text{ MVA}}{3} = 6 \text{ MVA} \] Next, calculate the line Show more…

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Three identical 9 MVA, 7.2 kV/4.16 kV, single-phase transformers are connected in Y on the high-voltage side and delta on the low voltage side. The equivalent series impedance of each transformer referred to the high-voltage side is 0.12+j0.82 ohms/phase. The transformer supplies a balanced three-phase load of 18 MVA, 0.8 power factor lagging at 4.16 kV. Determine the line-to-line voltage at the high-voltage terminals of the transformer.