📘 Transformer Voltage Regulation – Complete Explanation
Voltage regulation indicates change in secondary voltage when load changes from no-load to full-load. Very important for GATE numericals.
🔹 1. Definition
Voltage Regulation = (E₂ − V₂) / V₂ × 100%
Where: E₂ = No-load secondary voltage V₂ = Full-load secondary voltage🔹 2. Approximate Formula
For practical calculation:% Regulation ≈ (R_eq cosφ ± X_eq sinφ) × (I₂ / V₂) × 100
"+" for lagging power factor "−" for leading power factor🔹 3. Important Observations
- Lagging load → Positive regulation
- Leading load → Negative regulation possible
- Pure resistive load → Depends only on R_eq
🔹 4. Example 1 – Lagging PF
Given: R_eq = 2 Ω X_eq = 4 Ω I₂ = 10 A V₂ = 200 V Power factor = 0.8 lagging sinφ = 0.6 Solution: Voltage drop term:= (2 × 0.8) + (4 × 0.6) = 1.6 + 2.4 = 4
Now:% Regulation = (4 × 10 / 200) × 100 = 20%
🔹 5. Example 2 – Leading PF
Same data but 0.8 leading. Voltage drop term:= (2 × 0.8) − (4 × 0.6) = 1.6 − 2.4 = -0.8
% Regulation = (-0.8 × 10 / 200) × 100 = -4%
Negative regulation.🔹 6. Zero Regulation Condition
Occurs when:R_eq cosφ = X_eq sinφ
Power factor angle for zero regulation: tanφ = R_eq / X_eq Very important theory question.🎯 GATE Important Points
- Lagging load increases regulation
- Leading load may give negative regulation
- Use approximate formula for fast solving
- Know zero regulation condition
Voltage Regulation = Performance Indicator of Transformer
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