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3.1 What is the purpose of a transformer? 3.2 Name the type of loss that is dissipated in a transformer due to the internal resistance in the windings - NSC Electrical Technology Power Systems - Question 3 - 2017 - Paper 1

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3.1 What is the purpose of a transformer? 3.2 Name the type of loss that is dissipated in a transformer due to the internal resistance in the windings. 3.3 State T... show full transcript

Worked Solution & Example Answer:3.1 What is the purpose of a transformer? 3.2 Name the type of loss that is dissipated in a transformer due to the internal resistance in the windings - NSC Electrical Technology Power Systems - Question 3 - 2017 - Paper 1

Step 1

What is the purpose of a transformer?

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Answer

The purpose of a transformer is to step down or step up an alternating voltage. It is designed to transfer power from one ac circuit to another, adjusting the voltage and corresponding current flow, while isolating one circuit from another electrically.

Step 2

Name the type of loss that is dissipated in a transformer due to the internal resistance in the windings.

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Answer

The type of loss that is dissipated in a transformer due to the internal resistance in the windings is referred to as copper losses, which can be mathematically expressed as I2RI^2R losses.

Step 3

State TWO methods used to cool transformers.

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Answer

  1. Air cooling
  2. Oil-filled self-cooling and oil-filled water cooling.

Step 4

Describe what could happen if any one of the cooling methods used to cool large transformers failed to perform its function.

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Answer

If cooling methods fail, the transformer can overheat, which may lead to damage to the insulation between the windings. This overheating can cause a short circuit and potentially lead to gas formation, which is highly combustible.

Step 5

Name TWO applications of a three-phase delta-star transformer.

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Answer

  1. Used to distribute power to consumers in substations.
  2. To step down the voltage to a 380 V three-phase and 220 V single-phase supply.

Step 6

Secondary line current

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Answer

To determine the secondary line current (ILI_L):

I_L = rac{S}{ ext{(sqrt(3) * V_{LS}})}

Calculating:

= 182.32 A$$

Step 7

Secondary phase current

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Answer

The secondary phase current (IphI_{ph}) is equal to the line current for a delta connection:

Iph=IL=182.32AI_{ph} = I_L = 182.32 A

Step 8

Input power to the clinic

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Answer

To find the input power (PP):

P=ext(sqrt(3)VLSILextp.f)P = ext{(sqrt(3) * V_{LS} * I_L * ext{p.f})}

Calculating:

= 1079.39 W \ = 108 kW$$

Step 9

Explain why the secondary winding of a step-down transformer has a thicker wire.

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Answer

The secondary winding of a step-down transformer has a thicker wire to accommodate a higher current. Since the power in a transformer remains constant (ignoring losses), a decrease in voltage in the secondary winding results in an increase in current, necessitating thicker wires to handle this increased current without overheating.

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