Efficiency Calculator

Complete Guide to Efficiency: Motors, Generators, Transformers

The Efficiency Calculator computes % efficiency from input/output power or losses. Critical for energy savings and NEC compliance.

What is Efficiency?

η = (Output Power / Input Power) × 100%

Or: η = (Input - Losses) / Input × 100%

Why Efficiency Matters

  • Energy Cost: 1% gain saves thousands yearly
  • Heat Reduction: Lower losses → cooler operation
  • NEC 430.7: Premium motors ≥ NEMA Table 12-12

Use with Motor Load and Energy Cost calculators.

Efficiency Formulas

DeviceFormula
Generalη = P_out / P_in × 100
Motorη = (746 × HP) / P_in × 100
Generatorη = P_out / (P_out + Losses) × 100
Transformerη = 1 / (1 + Losses/P_out) × 100

NEMA Motor Efficiency Standards

HPPremium (%)Standard (%)
185.582.5
1091.789.5
10095.494.1

Loss Types

  • Copper (I²R): Load-dependent
  • Iron (Core): Voltage-dependent
  • Stray, Friction, Windage

Calculation Steps

  1. Measure P_in, P_out: Wattmeters
  2. Or sum losses: No-load + load test
  3. Apply formula
  4. Compare to nameplate

Example: Motor 10 HP, 92% efficient

  • P_out = 10 × 746 = 7460 W
  • P_in = 7460 / 0.92 ≈ 8110 W
  • Losses = 650 W

Transformer Example

  • 100 kVA, 2500 W losses → η ≈ 97.6%

Efficiency vs Load

Max at 75–100% load. Drops at partial load.

Improving Efficiency

  • Premium Motors: IE3/IE4
  • VFDs: Match speed to load
  • Proper Sizing: Avoid oversizing
  • Maintenance: Clean, lubricate

Testing Methods

  • IEEE 112: Motor dyno test
  • No-load Test: Iron + friction
  • Blocked Rotor: Copper losses

Common Mistakes

  • Using kVA for motors: Use HP
  • Ignoring PF: P_in = V×I×PF
  • Part-load assumption: Efficiency ≠ nameplate

Energy Savings

Upgrading 10 HP motor: 89.5% → 91.7% → saves ~$300/year at $0.10/kWh, 4000 hrs.

Advanced Topics

  • SEER, COP: HVAC efficiency
  • IE Codes: IEC 60034-30-1
  • Life Cycle Cost: Initial vs operating

FAQs

Can efficiency be >100%? No — violates thermodynamics.

Why nameplate efficiency? Full load, rated voltage.

Generator vs motor? Same formula, reverse power flow.

Conclusion

Efficiency drives cost and sustainability. Our Efficiency Calculator ensures accurate design. Optimize with Motor Load, Energy Cost, and Construction tools. Save energy with 1000 Calculators.