Engineering flux-switching models for toroidal and multipath cores

For analysis purposes, a multi-path core is divided into legs (a toroid is a single-leg core); flux-switching models for a leg are calculated from material parameters and leg geometry. These models include: (1) static φ(F) curve, assuming hyperbolic B(H) functions; (2) elastic switching in saturation, φ
ε
= ∊FR, where ∊ = ∊(F); (3) inelastic switching, φ = ρ(F-F
0
), where ρ = ρ
p
[1−(φ/φ
s
)
²
] for a constant-width leg; (4) ρ
t
(φ) of a tapered leg; and (5) the average ρ and ρ
t
for partial and full switching.