My Apogee Mini Series converter emanates a repetitive clicking upon powering on the device?

This typically indicates an issue or fault with the AC adapter.

The specifications of this AC adapter are not unusual and a suitable replacement maybe found at an electronics retailer. The PSU specs and barrel connector dimensions are as follows:

• Output: 12 volts DC 1-2 A (1000-2000 mA)
• Center pin positive (+); 2.1mm Inner Diameter, 5.5mm Outer Diameter