It needs between 7 & 12V I think for the arduino and you are not likely to be running your LEDs that low. Either get a voltage regulator to drop the voltage down for the arduino or simply by a separate 12V supply.
Tim
You can use a resistor. Not ideal tho as that resistor is wasting energy to drop from whatever input voltage it has to get down to the voltage the arduino want. You could use a switching voltage regulator (lots around - google or ebay it for a look) which would be more efficient and not get so hot.
The arduino can be powered by its USB socket or by feeding 5V in to the pin labelled as 5V (the -ve goes to the ground (GND) pin).
Would you leave the power on all the time? If that driver board does not have pull down resistors on it, as soon as you turn the power on, your LEDs will come on at full power until the arduino has booted up and starts sending a valid PWM signal to the LDDs.
Tim
You can use a resistor. Not ideal tho as that resistor is wasting energy to drop from whatever input voltage it has to get down to the voltage the arduino want. You could use a switching voltage regulator (lots around - google or ebay it for a look) which would be more efficient and not get so hot.
The arduino can be powered by its USB socket or by feeding 5V in to the pin labelled as 5V (the -ve goes to the ground (GND) pin).
Would you leave the power on all the time? If that driver board does not have pull down resistors on it, as soon as you turn the power on, your LEDs will come on at full power until the arduino has booted up and starts sending a valid PWM signal to the LDDs.
Tim
If the highest voltage string is 17.5V you need 20.5V (including 3V for the LDD). So that string needs 20.5W (voltage multiplied by drive current). The other string will be 18.75W using the same calculation. So, ideally you want 20.5V as your supply voltage. But I doubt you can buy that, so get one that gives a bit more and preferably can be adjusted (more voltage is OK, the LDDs will deal with it, but are more efficient if you give them the voltage they need).
Don't worry about the output current of the power supply, particularly. It just needs tto give the right voltage (at least) and have more than enough power. You need just over 39W, so go for a supply capable of 40 to 50W. You don't want to run your power supply flat out. I'd go for 24V 48W and that should do you fine
Tim