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Transformer Efficiency Calculator — Load, Core & Copper Losses
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Calculated result
96.67% efficiency
Output power: 67.5 kW
Copper loss at 75% load: 1.125 kW
Core loss: 1.2 kW
Total loss: 2.325 kW
Input power: 69.825 kW
Calculated maximum-efficiency point: 77.46% rated load (69.71 kW at entered PF), η ≈ 96.672%.
Scenario comparison — 25% load: 94.439% η, 1.325 kW loss | 50% load: 96.36% η, 1.7 kW loss | 75% load: 96.67% η, 2.325 kW loss | 100% load: 96.567% η, 3.2 kW loss
Model boundary: core/no-load loss is treated as constant at rated voltage/frequency and load loss scales with current squared. Use test-certificate/manufacturer loss data for engineering decisions.
Show the working
- 1. Load fraction x = 75 ÷ 100 = 0.75.
- 2. Output = 100 kVA × 0.75 × PF 0.9 = 67.5 kW.
- 3. Copper loss = 2 kW × 0.75² = 1.125 kW.
- 4. η = 67.5 ÷ (67.5 + 1.2 + 1.125) × 100 = 96.6702%.
- 5. xₘₐₓ = √(1,200 ÷ 2,000) = 0.7746 (77.46%).
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