What is Inverter Efficiency & DC Cable Sizing?
Mathematical Foundation
Laws & Principles
- Ohm's Law: Power (Watts) = Voltage × Current (Amps). For a given wattage load, lower battery voltage forces proportionally higher amperage through the cables. A 12V system draws 4× more amps than an equivalent 48V system for the same AC load.
- The 100-Amp Threshold: Above 100A continuous DC draw, off-the-shelf wiring becomes impractical. You need expensive 1/0 or 2/0 gauge welding-grade copper cable with hydraulic crimped lugs and industrial-class fusing. Going to 24V or 48V is almost always cheaper than cabling a 12V system for >100A.
- Voltage Drop Must Be Calculated Separately: Even properly sized cables for ampacity still experience resistive voltage drop. At very high currents over long cable runs (>6 feet one-way), NEC requires separate voltage drop calculations to ensure the inverter receives adequate startup voltage.
- Inverter Startup Surge: Appliances with motors (refrigerators, AC units, power tools) require 3–7× their running wattage for 50–200 millisecond startup surge. Cables and fusing must be sized for the surge current, not just the continuous draw.
- NEC 690.8 Derating: NEC requires continuous DC currents to be derated by 125%. If this calculator shows 80A DC continuous draw, NEC-compliant cable sizing must handle 80A × 1.25 = 100A capacity.
Step-by-Step Example Walkthrough
" An off-grid cabin runs a 1,500W inverter-driven AC load off a 12V battery bank. The inverter is rated at 85% efficiency. What cables are needed? "
- 1. Calculate total DC watts: P_DC = 1,500 ÷ (85/100) = 1,500 ÷ 0.85 = 1,765 Watts from the battery.
- 2. Calculate waste heat: 1,765 − 1,500 = 265 Watts dissipated as inverter heat.
- 3. Calculate DC amp draw: I_DC = 1,765W ÷ 12V = 147 Amps continuous.
- 4. Apply NEC 125% derating: 147A × 1.25 = 184A cable capacity required.
- 5. Select cable: 184A continuous requires 2/0 AWG copper welding cable at minimum. This is extremely heavy, expensive cable.