I have sent ether to my PRIVATE ADDRESS instead of ACCOUNT ADDRESS in myetherwallet - What do I do? Please HELP!!!
If you mean "private key" when you say "private address" and the transaction went through, then I'm sorry to say that your ether is unrecoverable.
The only way to recover the ether would be to know the private key for the address it was sent to. Unfortunately, the address it was sent to was roughly random (probably the first 20 bytes of your private key), so finding its private key would be as difficult as breaking into any other account.
Because that private key was partially exposed, it would also be prudent to move any other ether out of the address you were trying to send to. (I'm not sure by how much, but exposing part of the private key for an address weakens the security of that address.)