Sunday, 22 February 2026

 

📘 Practical Transformer – Losses & Real Operation

Real transformers are not ideal. They have losses and non-ideal magnetic behavior. Understanding these is crucial for GATE numericals.


🔹 1. Core (Iron) Losses

Occurs in magnetic core due to alternating flux. Two types:
  • Hysteresis Loss
  • Eddy Current Loss
Total core loss:

P_core = P_h + P_e

Core loss depends on voltage and frequency.

🔹 2. Copper Loss

Due to winding resistance.

P_cu = I₁²R₁ + I₂²R₂

Depends on load current.

🔹 3. Leakage Flux

Not all flux links both windings. Leakage flux causes:
  • Leakage reactance
  • Voltage drop

🔹 4. Practical Working

When secondary load connected: • Secondary current flows • Demagnetizing effect occurs • Primary draws additional current • Flux remains nearly constant Very important conceptual question.

🔹 5. Example – Core vs Copper Loss

Given: Core loss = 500 W Copper loss at full load = 800 W Find total loss at half load. Copper loss ∝ (Load)² At 0.5 load:

Copper loss = 800 × (0.5)² = 200 W

Total loss:

= 500 + 200 = 700 W


🔹 6. Important Observations

  • Core loss constant (approx)
  • Copper loss varies with load
  • Maximum efficiency when copper loss = core loss

🎯 GATE Important Points

  • Know load variation of copper loss
  • Core loss depends on voltage
  • Leakage reactance important for regulation
  • Maximum efficiency condition frequently asked

Real Transformer = Ideal + Losses + Leakage

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