I'm updating this first post with the information I've gathered throughout this thread:
As the number of hard drives in my system has increased, I decided to buy a new Coolermaster Stacker case, along with a 2nd PSU. The plan was to move my hard drives onto my 620w modular Enermax (which I bought extra cables for), whilst my motherboard, processor and graphics were to be powered by a new FSP 700w.
I used the dual PSU Y-plug included with the case, which appears to just turn on the 2nd PSU at the same time the 1st one is being turned on.
However, the first time I tried to use it, the 2nd PSU (Enermax) would power on for perhaps a second with the fan revving up etc, but would then shut off. Consequently, my BIOS detected no drives. I then tried unplugging all of the modular leads and the PSU stayed on when booted. After this, I tried plugging in one at a time.
After experimenting with different combinations, I was able to ascertain tha the PSU worked with up to two 7200rpm drives, or one Raptor + 7200rpm drive. It would not work with anything more, such as both of my Raptors at once. When I plug in more than this, I hear a repeated clicking noise, and none of the drives seem to be detected. On the plus side, it doesn't seem to turn itself off until I get to perhaps 5 drives.
As recommended in this thread, I swapped the PSUs around. Consequently, the Enermax was once again powering the motherboard etc. To my surprise, this worked fine. The Enermax is currently powering all of the drives at once, though I obviously want to take this burden off of it as soon as possible.
Update: I tried connecting green to black to power on the PSU with just the Raptors connected. The drives would rev up for about 3 seconds then turn off, rev and turn off, just repeating.
It thus appears my PSU requires a minimum load on the ATX12V... Read on.