Try your SSR with a straight resistive load to determine whether it it damaged. If you use an incandescent lamp as a load, be sure it is rated well below the rated current of the SSR because a tungsten filament is a very low resistance when cold and draws high inrush current that could damage the SSR. A hair dryer at low setting might be a good load if it is within the SSR current rating because its element does not change resistance dramatically.
My SSR can handle up to 25A. i tryed it now with hair dryer, very weird...
the air dryer is always off (turnd on only for a second)... and if i try the transformer its always on.
As noted in the Omron tech note, the snubber components would ideally be optimized for the load characteristics. The values given are just typical values that work in many situations. Maybe just not yours. If might have to be adjusted for a 220 volt load.
How are you driving the SSR control input? Any chance that there is some leakage into the input terminals when you want the SSR off? If you are using some semiconductor circuit to drive the SSR control line it's possible that what you think is "OFF" is actually "LOW" but not off. TTL logic would have that characteristic. Can you shunt the control terminals with a resistance high enough to not dissipate too much power from the driver while on, but low enough to pull the input voltage down closer to zero when off.
I thoght about a leakage from the input so i started to use 9V battery for controlling the SSR. BTW there is a LED on the SSR so i can see that it "works" every time i control it.
Try it out with your transformer load but with a switch in series with the control terminals. Maybe not a complete solution, but possibly a good diagnostic technique.
awright