There is no universal definition of what Black Edition means, at least when it comes to PSUs. When it comes to CPUs and graphics cards, it usually stands for overclocking - either an unlocked multiplier on the CPU or a factory-overclocked graphics card. PSUs can't be overclocked, obviously.
What PSU you need would depend on the rest of your system too, to some extent. Still, any quality 550W PSU will be fine. Stick to the reliable brands, such as Antec, Corsair, Seasonic, and XFX.