Table 3. Three distinct Pareto-optimal...

Table 3.

Three distinct Pareto-optimal solutions are identified, representing trade-offs between minimal core losses, minimal volume and maximal longitudinal inductance

Design parameter	Minimal core losses	Minimal volume	Maximal longitudinal inductance	Reference design
$P_{core, loss}$	Minimal core losses	Minimal volume	Maximal longitudinal inductance	Reference design	0.25 W	4.6 W	0.32 W	8 W
$V_{core}$	245 cm³	22 cm³	311 cm³	116 cm³
$L_{long}$	12.1 µH	10.1 µH	31.2 µH	13 µH
$x_{0}$	19.2 mm	27.1 mm	30 mm	27 mm
$x_{1}$	39.9 mm	10.2 mm	39.8 mm	20 mm
$x_{2}$	25 mm	10.7 mm	25 mm	25 mm
$x_{3}$	24	24	24	20
$x_{4}$	9.74 mm	9.75 mm	9.6 mm	9 mm
$x_{5}$	178°	115°	104°	160°
Relative
costs	1.6	0.8	1.7	1

Design parameter	Minimal core losses	Minimal volume	Maximal longitudinal inductance	Reference design
$P_{core, loss}$	Minimal core losses	Minimal volume	Maximal longitudinal inductance	Reference design	0.25 W	4.6 W	0.32 W	8 W
$V_{core}$	245 cm³	22 cm³	311 cm³	116 cm³
$L_{long}$	12.1 µH	10.1 µH	31.2 µH	13 µH
$x_{0}$	19.2 mm	27.1 mm	30 mm	27 mm
$x_{1}$	39.9 mm	10.2 mm	39.8 mm	20 mm
$x_{2}$	25 mm	10.7 mm	25 mm	25 mm
$x_{3}$	24	24	24	20
$x_{4}$	9.74 mm	9.75 mm	9.6 mm	9 mm
$x_{5}$	178°	115°	104°	160°
Relative
costs	1.6	0.8	1.7	1

Note(s):

For comparison also the reference design is shown in the table. The relative cost information given in this table was provided by VAC (Vacuumschmelze, 2025)

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