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mediumNATPYQs Based test 13: Power SystemsElectrical Engineering
2 marks

A single-phase transformer of rating 25 kVA, supplies a 12 kW load at power factor of 0.6 lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is __________.

Correct Answer

7.1-7.3

Solution & Step-by-step Explanation

Load (P) = 12 kW

s = 25 KVA

Power factor = cos ϕ = 0.6

Q = P tan ϕ

Q = 12 × tan (cos⁻¹ (0.6)) = 16 kVAR

Let the additional load is X kW





⇒ (12 + X)² + 256 = 625

⇒ X = 19.2 – 12 = 7.2 kW

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A single-phase transformer of rating 25 kVA, supplies a 12 kW load at power factor of 0.6 lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is __________.

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