Motors, Generators & Electrification Equipment calculator
Copper Fill Factor Calculator
Check how full a stator slot is from the net copper area and the total slot area, then compare the fill with a target. The page reports the gap and the copper area a target needs.
What this calculator does
- Copper fill percent and its gap to a target, with the copper area a target requires.
Formula used
- Copper fill factor = net copper area ÷ total slot area × 100
- Gap to target = target fill − copper fill factor
- Copper area at target = target fill ÷ 100 × total slot area
- Copper area shortfall = MAX(target copper area − net copper area, 0)
Inputs explained
- Net Copper Area per Slot: Bare copper cross-section in the slot, from the winding design.
- Total Slot Cross-Section: Full slot cross-section before the winding is inserted.
- Target Slot Fill: Fill percentage the design or process standard sets for this slot.
How to use the result
- Best suited to checking a slot before winding, choosing wire gauge for a fill target, reviewing a traction motor redesign.
- Slot liners, wedges and phase insulation take space that the bare copper figure ignores. A fill target alone does not prove the winding is producible; wire gauge and turns also decide that.
Current U.S. benchmarks
- The producer price index for primary nonferrous metals (a broad metals benchmark, not copper alone) stands at 544.731 (BLS, Aug 2026), up 49.3% from a year earlier. Quotes priced off last quarter's material cost miss this move. Global copper trades at $13,543 per tonne (IMF via FRED, Jul 2026).
- Steel mill PPI stands at 381.162 (BLS, Aug 2026), up 23.4% from a year earlier. New factory orders are up 8.5% year over year (Census).
- The U.S. has 5,397 electrical equipment and appliances establishments employing about 369,437 workers (Census County Business Patterns, 2023).
Common questions
- What does copper fill factor mean? It is the share of a slot cross-section filled by bare copper. A slot with 100 mm² of copper in 250 mm² of total area fills to 40%, and the rest carries insulation, air and clearance.
- Why does the page block copper area above slot area? Because copper cannot occupy more cross-section than the slot holds. A fill over 100% means the two areas disagree on units or on the slot they describe, so the page stops instead of printing an impossible result.
- What is a typical slot fill target? Targets vary by machine class and winding process, so enter the target your design or manufacturing standard sets. Hand-wound prototype slots usually run lower than machine-wound production slots.
- How do I find net copper area per slot? Count the conductors in one slot, multiply by the bare copper area of the wire gauge, and add parallel strands. Use the copper cross-section, not the insulated outside diameter.
Last reviewed 2026-10-01.