BTW - I believe that for an inductive load, you don't switch it on at the voltage zero crossing if you want to minimise inrush current.
Experience and theory indicate that closing the switch at the zero crossing point creates very little inrush current.
I
think the theory would go something like (description for positive half cycle, same applies for negative half cycle) :
With the supply already applied, the first half of the positive voltage cycle will be killing the negative current in the inductor, the second half of the positive voltage cycle is building up the positive current.
If you connect the supply at the negative-positive zero voltage crossing, the inductor current is zero, and so the whole positive voltage cycle goes towards building up a positive current. The current (and hence magnetic field) will increase past it's normal maximum, the magnetic circuit will saturate, and the effective impedance will drop significantly - causing a large spike in current drawn.
Apply the supply at voltage maximum and the inductor current only increases for the latter half of the voltage waveform. This is exactly the same as an already applied supply where the inductor current will be passing through zero as the voltage reaches maximum.
This will explain why when switching on a transformer, it's more or less random whether it "just turns on" or turns on with a big "thwump", or somewhere in between. It all depends on the point in the voltage cycle when the switch contacts actually close.
Something like this on zero crossing mode for resistive loads
http://docs-europe.electrocomponents.com/webdocs/0efc/0900766b80efc5ae.pdf
RS Stock No.720-4007
should "warm up" the tranny without taking out the breakers
Why ? It's just a solid state version of a normal switch - it won't limit the current, and in zero crossing mode will guarantee to create the highest inrush current. A random switch on version will statistically sometimes switch on at (or close to) voltage zero crossing which will produce the same problem.
On the first cycle the transformer winding is resistive until the flux creates back EMF to oppose the applied voltage.
I think that's the wrong way round. A transformer winding is inductive unless you saturate the core, at which point the effective inductance drops off. This is very different to a motor where you are relying on back EMF from the inherent generator to reduce the current once the rotor is turning.
Did a quick search, and the first result was this :
http://www.te.com/commerce/Document...v&DocNm=13C3206_AppNote&DocType=CS&DocLang=EN
(It's linked to from
this page, but ever so helpfully

they've made it so it just downloads the doc which together with Google's deliberate link obfuscation makes it fiddly to find the real link).
The first paragraph from that document says :
A zero-crossover solid-state relay may be the worst possible method of switching on a transformer or a highly inductive load. Evidence1 has come to light that zero-crossover turn-on of such loads can cause a surge current of perhaps 10 to 40 times the steady state current, whereas turn-on at peak voltage results in little or no surge.
Turn off of an inductive load with an SSS shouldn't be a problem, as most use a triac which won't turn off until the current is around zero - so should produce minimal voltage surge in the load. If something external happens (supply trips for instance) then it would be different !