EGRs are vacuum controlled, aren't they? If you put 12V into the SENSOR, then you probably fried it.
You don't need it. I ran without one for 5-6 years, just closed it and capped the vacuum lined to it. Sure, I got a code, but I reset the ECM two days before emissions, and it passed EVERY time... If yours is stuck OPEN, then you may have problems idling, it may stall as mine did in my other car. So, I removed the vacuum line, capped it, and put the vacuuum line on over the cap so it would pass a visual; so, the EGR would stay closed permanently, and no problems EVER, and bad idle was gone.
The key point is, it PASSED the Tailpipe, and OBDII emissions test without the EGR valve working. They did a tailpipe test because they wanted to SHOW what a rip-off emissions testing really is...
If you are in a state that does NOT require an emissions test, then don't worry unless it is effecting the idle. IF so, remove the vacuum lines (IF or WHATER), and it will stay closed. You want the valve CLOSED. If you keep it this way, reset the ECM by removing battery power (I pulled the ENGINE fuse), two days before the test, and run it as normal. I did this for MANY years, never failed emissions.