Power magnetics and winding
Energy-storage or volt-second turns, gap, wire fill, copper loss and user-calibrated Steinmetz loss.
Development preview. Check the assumptions below before relying on a result. Calculations run in your browser.
How it calculates
Assumptions
- Inductor mode uses LIpeak/(NAe); transformer mode uses Vton/(NAe) as a unipolar flux excursion. For bipolar operation enter the allowed full excursion, not one-sided Bpeak.
- Gap equation is a uniform magnetic-circuit estimate including finite core permeability; fringing is omitted.
- Steinmetz coefficients must match this SI convention and the material, temperature and excitation waveform. Zero k means unknown core loss, not zero physical loss.
Worked example
These are the calculator's default inputs. Change any input above to recalculate.
Inputs
- Magnetic element
- inductor
- Target storage / magnetizing inductance
- 0.0001 H
- Peak winding current
- 3 A
- RMS winding current
- 2 A
- Applied winding voltage
- 48 V
- Uninterrupted applied pulse duration
- 0.000003 s
- Effective core area Ae
- 0.0001 m²
- Effective magnetic path le
- 0.08 m
- Effective core volume Ve
- 0.000008 m³
- Usable winding-window area
- 0.00008 m²
- Mean turn length
- 0.06 m
- Core relative permeability
- 2000
- Allowed peak B / unipolar flux excursion
- 0.2 T
- AC flux amplitude for core-loss law
- 0.05 T
- Magnetic excitation frequency
- 100000 Hz
- Chosen copper current density
- 4000000 A/m²
- Maximum copper window fill
- 0.3
- Copper temperature
- 80 °C
- AC/DC winding-loss multiplier
- 1.5
- Steinmetz k (Hz, T, W/m³ convention)
- 0
- Steinmetz frequency exponent
- 1.5
- Steinmetz flux exponent
- 2.5
- Assembly thermal resistance estimate
- 15 K/W
Results
- Minimum whole winding turns
- 15
- Equivalent total gap estimate
- 0.000242743 m
- Resulting peak B / flux excursion
- 0.2 T
- Required AL
- 4.44444e-7 H/turn²
- Copper cross-section
- 5e-7 m²
- Equivalent bare round-wire diameter
- 0.000797885 m
- Copper window fill
- 0.09375
- Minimum Ae·Aw for selected current density
- 2.5e-9 m⁴