Hi,
I think what i would try doing is to try to break up the two strings so you can power them individually.
If you can break even one end of the two strings then you can power them individually. That means you can use full wave rectification and that means the pulse rate will be 100 times per second for both strings.
The problem is, if 50Hz bothers you then you have to go to a higher frequency one way or another if you cant break up the two strings somehow. That requires converting AC to DC then chopping it back up into maybe 500Hz or something.
Another idea, a little more complicated, is something like the following...
The mains frequency is 50Hz and that's got a period of 20ms, so one half cycle which is 180 degrees has a 10ms period. If you incorporate an H bridge transistor bridge, you can chop up that into 90 degree portions, where the first 90 degree portion goes unchanged and the second 90 degree portion gets inverted.
The base line frequency is 50Hz so that means that without modification the first string turns on for 10ms then the second string for the next 10ms, and that repeats 50 times per second. By chopping up the line voltage the first string would be 'on' for 5ms and the second for the next 5ms, and that would repeat 100 times per second. The waveshape will be less than ideal, but it may be enough to lower the blinking effect to an acceptable level. If not, you have to go to AC to DC then chop up to whatever frequency you want.
Here is a drawing of the waveshapes that would be driving the two strings. The 100Hz wave is the chopped version and may help with the blinking problem although there is a chance that it will not help enough because the average intensity is the same over a full period. It should help some though because of the integrating effect the human eyes have for changing light levels.

I think what i would try doing is to try to break up the two strings so you can power them individually.
If you can break even one end of the two strings then you can power them individually. That means you can use full wave rectification and that means the pulse rate will be 100 times per second for both strings.
The problem is, if 50Hz bothers you then you have to go to a higher frequency one way or another if you cant break up the two strings somehow. That requires converting AC to DC then chopping it back up into maybe 500Hz or something.
Another idea, a little more complicated, is something like the following...
The mains frequency is 50Hz and that's got a period of 20ms, so one half cycle which is 180 degrees has a 10ms period. If you incorporate an H bridge transistor bridge, you can chop up that into 90 degree portions, where the first 90 degree portion goes unchanged and the second 90 degree portion gets inverted.
The base line frequency is 50Hz so that means that without modification the first string turns on for 10ms then the second string for the next 10ms, and that repeats 50 times per second. By chopping up the line voltage the first string would be 'on' for 5ms and the second for the next 5ms, and that would repeat 100 times per second. The waveshape will be less than ideal, but it may be enough to lower the blinking effect to an acceptable level. If not, you have to go to AC to DC then chop up to whatever frequency you want.
Here is a drawing of the waveshapes that would be driving the two strings. The 100Hz wave is the chopped version and may help with the blinking problem although there is a chance that it will not help enough because the average intensity is the same over a full period. It should help some though because of the integrating effect the human eyes have for changing light levels.


