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ElectricalBasic Electrical
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Three units of single phase transformers and one single three-phase transformer rating

A

will be same for one rating

B

can never be made same

C

may be same

D

none of the mentioned

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option A

will be same for one rating

Quick Summary:

A bank of three single-phase transformers and one three-phase transformer are functionally equivalent in terms of power rating and transformation ratio for a given load application. Both configurations are designed to handle the same total kVA rating while providing the same primary and secondary voltage levels.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

A bank of three single-phase transformers and one three-phase transformer are functionally equivalent in terms of power rating and transformation ratio for a given load application. Both configurations are designed to handle the same total kVA rating while providing the same primary and secondary voltage levels.

ЁЯФв Key Formulas

S3╧Х=3├ЧS1╧ХS_{3\phi} = 3 \times S_{1\phi}S3╧ХтАЛ=3├ЧS1╧ХтАЛ тАФ Total power capacity of three single-phase units

VL=3VphV_{L} = \sqrt{3} V_{ph}VLтАЛ=3тАЛVphтАЛ тАФ Line voltage for Star connection

тЪЩя╕П Working Principle

The total capacity of a three-phase system is S3╧Х=3├ЧS1╧ХS_{3\phi} = 3 \times S_{1\phi}S3╧ХтАЛ=3├ЧS1╧ХтАЛ. When three single-phase transformers are connected in a bank (e.g., Star-Delta), they simulate the operation of a single three-phase transformer unit. The internal magnetic coupling and physical arrangement differ, but the external electrical performance parameters remain identical for the same specified rating.

ЁЯУМ Key Points
  • тЦ╕

    Three-phase transformers offer reduced floor space and lower weight compared to a bank of three single-phase transformers.

  • тЦ╕

    Single-phase transformers are easier to transport and replace individually in case of failure.

  • тЦ╕

    Electrical rating (kVA, Voltage, Frequency) is independent of whether the iron core is shared or separate.

тЬЕ Advantages
  • тЦ╕

    Modular replacement for single-phase banks

  • тЦ╕

    Identical electrical characteristics for same rating

тЭМ Disadvantages / Limitations
  • тЦ╕

    Three-phase units are difficult to repair on-site

  • тЦ╕

    Three-phase units lack redundancy compared to separate single-phase units

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Distribution systems

  • тЦ╕

    Power grid transmission substations

ЁЯФД Comparison Table
Feature3-Phase Unit1-Phase Bank

Construction

One core/tank

Three separate units

ЁЯУД Additional Information
  • тЦ╕

    Option B is incorrect because physical configuration does not dictate the electrical rating capacity.

  • тЦ╕

    One three-phase transformer is essentially three single-phase windings on a common magnetic core.

ЁЯУК Diagram / Illustration
Power Rating EquivalenceTotal 3-Phase kVA = 3 ├Ч 1-Phase kVA
S3╧Х=3VLILS_{3\phi} = \sqrt{3} V_L I_LS3╧ХтАЛ=3тАЛVLтАЛILтАЛ
тЬЕ

A is correct тАФ The rating of a three-phase transformer is equivalent to a bank of three single-phase transformers of the same total capacity.

Core Concepts Used
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Magnetic circuit Three-phase system balance Transformer ratings
ЁЯТб EXAM TIP

Always remember that for an ideal transformer bank or 3-phase unit, the efficiency and regulation are primarily defined by the winding resistance and leakage reactance, not the physical core structure.

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