> 
> But the weight of a 3 to 5 kW autotransfomer has got to be hundreds of
> lbs. And price goes up to the thousands.

LOL, not even close.  
Autotransformers are frequently used for off-grid systems, a 5kVA unit weighs 
about 30 lbs and costs $300-$500 new.
https://www.solar-electric.com/solaredge-seauto-tx-5000-auto-tranformer.html

They are also used frequently (or were) by GIs stationed in Europe so you can 
run 120V vaccumms, etc. on the 240V power there.  I have a 5kv unit kicking 
around here somewhere that I bought when I was stationed in England or Germany, 
I think I paid $25 for it(used), but that was back in the '80s.
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