1. A 2.4-kVA, 2400/240-V, 50-Hz, the step-down transformer has the following parameters: : RH = 1.50, :XH = 2.502, R₂ = 0.020, : X = 0.030, R = 6k2, and: Xm = 8kQ2. It is operating at 50% of its load at 0.5 power factor leading. Using the exact equivalent circuit embodying the ideal transformer, determine the efficiency of the transformer. Also, sketch its phasor diagram.

1. A 2.4-kVA, 2400/240-V, 50-Hz, the step-down transformer has the following parameters: : RH = 1.50, :XH = 2.502, R₂ = 0.020, : X = 0.030, R = 6k2, and: Xm = 8kQ2. It is operating at 50% of its load at 0.5 power factor leading. Using the exact equivalent circuit embodying the ideal transformer, determine the efficiency of the transformer. Also, sketch its phasor diagram.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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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

1. A 2.4-KVA, 2400/240-V, 50-Hz, the step-down transformer has the following parameters: : RH = 1.59,
:XH = 2.50, R₂ = 0.020, X₁ = 0.030, : Rc = 6k2, and: Xm = 8kQ. It is operating at 50% of its load
at 0.5 power factor leading. Using the exact equivalent circuit embodying the ideal transformer,
determine the efficiency of the transformer. Also, sketch its phasor diagram.

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Step 1: Summarize the given information.

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Step 2: Drawing the exact equivalent circuit and finding current through low voltage winding.

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Step 3: Determining the MMF compensation current and copper loss in low voltage winding.

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Step 4: Determining the core loss and no-load current.

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Step 5: Determining the current flowing through the high voltage winding.

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Step 6: Determining the copper loss in high voltage winding.

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Step 7: Determining the efficiency.

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Step 8: Sketching the phasor diagram.

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