There are two versions of the dichroic-filtered color head for the LPL 6 x 7 cm enlargers. I own one of each. In the photo shown from the eBay listing of Post #9, there is only a power cord present—no small cord that would connect to an external transformer power supply. This is almost certainly a version with the power supply built into the head.
The 12-volt version has a two-conductor cord from the head to the external power supply. The US/Canada model uses a 120-volt 60Hz to 12-volt transformer power supply.
The 82-volt model uses a small half-wave rectifier power supply built into the head. This lacks the cord to the external power supply of the 12-volt model.
In photos 5. 6, 7, 8, 9 in the following article you can see a typical half-wave rectifier power supply of this type in the Omega C700 dichroic head—one diode and one resistor, that’s all there is. Some half-wave rectifier power supplies include a smoothing capacitor as well.
http://www.blogintrigue.com/2008/11/omega-c700c760-power-supply/
Neither model is equipped with a cooling fan, just ventilation slots in the housing for convection cooing, and nether model has any built-in voltage regulation. For critical color work, you have to buy a constant-voltage line stabilizer to keep the voltage to the lamp constant within a small tolerance.
There is nothing wrong with the older model. The differences are cosmetic. The version shown in the photo in post #9 was also branded as Rollei and Nikor.