Hi Warpspeed,
I looked briefly at toroids but couldn't get enough ferrite cross section in any sort of reasonable shape. I'd toyed with tape-wound amorphous iron too, but couldn't get hold of a big core in small quantity. I wonder if the long tube shape built up from multiple toroids would work well? At the time I reckoned that it added a lot of winding resistance which could be avoided by a shell-type design as you describe.
The tubular secondary winding I used was an intentional way of combining cooling and minimising skin effect problems. Slightly heavier walled tube would have been almost perfect.
If you are able to make a number of closely matched smaller transformers I guess you could parallel them to a low inductance bus. For the bus I'd suggest a laminated structure, or for really large currents an interleaved laminated design +/-/+/-, to keep your leakage reactance down.
Zacky,
Leakage reactance causes poor regulation in the transformer. In the classic transformer model with all parameters referred to the primary side, leakage reactance and winding resistance are shown in series with the primary winding. Magnetising reactance and core loss 'resistance' are shown as being in parallel with the primary winding.
High leakage reactance can have benefits. A couple of examples:
The inverter that the transformer design I built formed part of needed a commutating reactance to be added to the circuit. A little more leakage reactance from the transformer and that additional component could have been avoided, but since this was a one-off design it was easier to build a low-leakage tranformer and add a reactor rather than get too much leakage and have to worry about getting rid of it. With hindsight I could probably have introduced plastic shims into the core structure of the low leakage design to create tiny well-defined air gaps to give the desired additional reactance.
In power transmission and distribution systems, transformers are often designed with a higher leakage reactance than might otherwise be achieved in order to keep prospective fault currents on the secondary side within limits which switchgear can handle. If the transformers were built with the minimum possible reactance then a fault would cause colossal currents to flow, requiring massively oversized switchgear, oversized conductors, additional mechanical bracing of windings, and so on. It is far more economical to allow for slightly poorer regulation and compensate for it than it is to design everything to withstand very high fault levels.
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One day my ship will come in.
But with my luck, I'll be at the airport!