A 100-KVA, 2500/125-V, 50-Hz, step-down transformer has the following parameters: R₁ = 1.5Ω, Χ = 2.8Ω, R, = 15mΩ, X, =20mΩ, Raj = 3ΚΩ, Xmi = 5kΩ The transformer delivers 85% of the rated load at a terminal voltage of 115 V and a power factor of 0.866 lagging. Determine (a) the efficiency, and (b) the voltage regulation. Draw the phasor diagram of the transformer. Use the approximate equivalent circuit referred to the secondary side.

A 100-KVA, 2500/125-V, 50-Hz, step-down transformer has the following parameters: R₁ = 1.5Ω, Χ = 2.8Ω, R, = 15mΩ, X, =20mΩ, Raj = 3ΚΩ, Xmi = 5kΩ The transformer delivers 85% of the rated load at a terminal voltage of 115 V and a power factor of 0.866 lagging. Determine (a) the efficiency, and (b) the voltage regulation. Draw the phasor diagram of the transformer. Use the approximate equivalent circuit referred to the secondary side.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Single Phase Transformer

A single-phase transformer is a type of power transformer. It is an electrical device that accepts converts the single phase alternating power into single phase alternating power. In this power conversion the voltage is stepped up or down. If the voltage is stepped up, the current will be stepped down and if the voltage is stepped down, the current will be stepped up.

Question

A 100-KVA, 2500/125-V, 50-Hz, step-down
transformer has the following parameters: R₁ =
1.5Ω, Χ= 2.8Ω, R2 = 15mΩ, X, =20mΩ, Rai
3ΚΩ, Xmi
5ΚΩ
=
The transformer delivers 85% of the rated load at
a terminal voltage of 115 V and a power factor of
0.866 lagging. Ďetermine (a) the efficiency, and
(b) the voltage regulation. Draw the phasor
diagram of the transformer.
Use the approximate equivalent circuit referred
to the secondary side.

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Step 2: The exact equivalent diagram,

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Step 3: Finding iron losses

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Step 4: finding the secondary current,

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Step 5: Finding copper losses,

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Step 6: (a) Finding the efficiency

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Step 7: (b) Finding the voltage regulation,

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Step 8: The phasor diagrams

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