In 2006, the Royal Australian Mint struck a non-circulating commemorative $1 coin for the 50th anniversary of television in Australia. This was the "mint your own" design for 2006, so it comes with numerous different "mintmarks and privy marks" - B for Brisbane, M for Melbourne, etc. This particular coin was also issued with a "TV" privy mark. In this instance, "TV" does not stand for anything or anywhere in particular. They were made in Canberra and this coin does not come with a "C for Canberra" variety. So in that sense, "TV" stands for "Canberra".
"P" does indeed stand for "Perth", and usually indicates a Perth Mint product. The "mint your own dollar" circus never made it all the way to Perth, so MYO dollars don't come in a "P" variety. With one exception: in 2010, the mint made (in Canberra) a set of eight privy-marked coins with each of the capital city initials (C, S, B, M, P, A, D, H), sold in two sets of four coins as well as silver proofs. This is the only "P for Perth" coin struck by the RAM that I am aware of.
