HVDC has two main uses, firstly transmission of a lot of power over a long distance. The reason for this is losses are much lower because there are no capacitive losses. This is even more the case if the conductors are underground or under water.
HVDC is expensive to comission, because of the cost of the converter stations at each end, so there is a tradeoff between distance, losses and cost. But the transmission lines are cheaper as there is less conductors (two versus the normal six on a double circuit AC tower) and thus less tower metal.
Secondly, one can use "back to back" HVDC to connect together grids that are not syncronised. "Back to back" means no intervening DC wire, its just two converter stations in one location, with AC in and out. You do a lot of that in the USA, you have (I believe) five unsyncronised grids, all of which transfer power between them using back to back HVDC. Also Japan, they have both 50Hz and 60Hz grids in one country, so they are obviously unsyncronised!
Sometimes both these reasons apply, for example there is a submarine link between the UK and France so its an undersea long cable, and the grids of the two countries are unsyncronised.