Hi alien,
could you tell more about the transformer like VA and is it a toroid (ring) shaped transformer.
If you have a toroid transformer you could go for a quick and half dirty solution, not meaning low performance though, as you need only 22 Volts and 1 Ampere you could actually add your own winding to it.
Start by finding out how many volts per turn your transformer will give by make adding 10 turns and measure with a multimeter how many volts you get, if you get 2 Volts on 10 turns (eg. 0.2 V per turn) but need 22 Volts you now can calculate easily how many turns you need which in this case is 22/0.2 = 110 turns.
Remember when you measure with a multimeter you see only the RMS value of your VAC, the final rectified voltage when smoothed out with electrolytic capacitors is square root of 2 (= 1.414...),
eg. 22 x 1,4 = 31 (Unloaded! The final voltage will drop a bit all depending on your transformer.)
This is a bit high so we can back off to say 95 turns (95 * 0,2 = 19 ===> 19 * 1,4 = 26,6 Volts)
The comes the full bridge rectifier, as there will always be 2 diodes in series and each diode have a voltage drop of 0,7 Volt so you will lose 1,4 Volts all together, so let's calculate again
...26,6 - 1,4 = 25,2 volts
Now when we have found proper winding turns ratio we need an old and decent proven linear voltage regulator and I would suggest you to find a LM337 rated at 1,5 Amperes, this is such a common regulator you will find it almost from any electronic component shop.
Here is the PDF document of the LM337
http://focus.ti.com/lit/ds/symlink/lm337.pdfWell, there's a starter!
Cheers