Hypatia's Protege
- Joined Mar 1, 2015
- 3,228
Fancy that!So anyhow issue is when series connected pot-core inductors are stacked in end-to-end contact they saturate way below calculated current corresponding to saturation flux density! But if they're separated even just a few mm current for Bsat is exactly what's expected!
--Emphasis Added--So I totally get it's cuz of _static_ field around cores (from DC component of current through inductors) somehow biasing neighboring inductor's core material towards saturation but I say that's weird cuz upper limit of flux density in any single inductor in chain of series connected identical inductors is asymptotic to flux density in single inductor's (full) crossection! So that means field from other inductors in setup can't have that effect even if perfectly coupled (cuz they all have same B and o/c B doesn't add, just superimposes maximum) and ayhow they're hardly coupled at all cuz of cancelling (so shielding) effect of pot-core geometry!
The statement (highlighted above) applies only where μe = μr... (i.e. where the effective permeability of the core equals [or, as a practical matter, closely approaches] the relative permeability of the core material)...
Please consider the following (Re: PC-3019 pot cores fashioned of #77 ferrite):
Ideal ungapped (single piece core [g=0]) μe=μr = 2000 (note that for these purposes conflation of μi (material initial permeability) and μr is appropriate even if a 'tad' expedient
Practical 'ungapped' (tightly clamped two-piece core ['inherent' g ≈ 6um]) μe ≈ 1600
Gapped inductors under discussion g=500um μe≈86 --- Dig it?
Granted! By virtue of the rather scant core-to-core coupling apparent in the described arrangement - the implied four-fold reduction in I(Bsat ) is not practically realizable! -- That said, owing the 'second degree relationship' of μe to Al (and, hence, I[Bsat]) taken with the fact that the described 'shielding' is notably less effective than mere 'ISL effects' as regards attenuation of static fields -- a 40%-50% I(Bsat) reduction is quite anticipatable!
FWIW a (likely inconsequential) 'aside'/point of interest is to be noted in said material's rather low volume resistivity (Spec: 100Ω/cm) while I've afforded little thought to the implications of inter-inductor electrical contact, such would seem worthy of consideration?...
Well hey! @Aleph(0) I apologize that the foregoing is about all time permits for the nonce (busy, busy, busy -- and FF is as ratty as ever
Very best regards
HP
PS
Indeed! The veritable 'spit and image' of JC! -- But sans his bike
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