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Bay note 07 — Copper loss, core loss and the temperature you actually get

A thermal strip that adds winding loss and core loss, then translates watts into rise — so sample approval is not a surprise on the hot plate.

Electrical designs fail quietly as heat. This plate turns two loss numbers into a temperature story the bay can test.

Copper loss

Pcu = Irms² × Rac — at SMPS frequency Rac > Rdc because of skin and proximity.

Rule of thumb for layered windings above about 100 kHz: budget 1.5–3× Rdc unless you have Litz or foil. Measure Rac on the sample when it matters.

Core loss (Steinmetz-shaped intuition)

Pcore ≈ Ve × ke × f^α × B^β — use the material sheet. For quick bay checks at 65–100 kHz and B ≈ 0.2 T on MnZn power grades, expect on the order of 100–400 mW/cm³. Multiply by effective volume.

Worked strip — EE30 flyback sample

  • Pcu ≈ 0.8 W (measured Rac at fsw)
  • Ve ≈ 4 cm³, pcore ≈ 200 mW/cm³ → Pcore ≈ 0.8 W
  • Ptotal ≈ 1.6 W

Natural convection rough: ΔT ≈ P × Rth. For a small transformer on a busy PCB, Rth might be 30–50 K/W without airflow:

ΔT ≈ 1.6 × 40 ≈ 64 K → 25 °C ambient becomes about 90 °C hotspot — inside many Class B budgets, outside if ambient is 60 °C.

What to put on the print

  • Max ambient and allowed hotspot / insulation class
  • Airflow or sealed enclosure note
  • Prefer Litz / foil if fsw and layers demand it

We can sample with a thermocouple map when the print asks for it — contact.

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