The power injector has a poly fuse built into designed to shut do the DC voltage leaving the power injector if it detects a problem in the wiring between the antenna and the power injector. If the red LED is going out this quick it normally indicates a DC short in system between the antenna and the power injector caused by a defective coax cable, bad connection, a non power passing splitter (DC shorting) in the line between the antenna and the power injector, or possibly a defective antenna head.
The first suggestion would be to disconnect the downlead cable from the ANT connection on the power injector. If the LED light stays on then the problem is between the antenna and the power injector. If the LED light goes out then the problem is in the power injector or the wall transformer. If the LED light is on then attach your coax downlead cable again but disconnect it from the antenna.
If the cable is good then the LED light will stay on if the LED light goes out then there is a problem with the coax downled cable, such a sort in the cable it self or a shorted connector. Make sure there are no 2 way or 4 way line splitters in the downlead between the antenna and the power injector. After checking your downlead cable attached to the power injector and the LED light stays on then attach it to the antenna and if the LED goes out then the antenna head is defective.
You can view a video on how to troubleshoot your power supply here... http://www.winegard.com/kbase/show_vid.php?vid_num=2
If you fid you have a defective Winegard part email or fax a copy of your GS-2200 receipt to the Winegard Warranty Department, email address is firstname.lastname@example.org
or the fax number is 1-319-754-0715 and the will replace the defective part to you.