I was in this exact same situation months ago. The only difference was that he admitted that he sometimes wondered if he loved me as more than a friend, but refused to start a relationship with me. Just like you two, we were exactly like a couple but without the sex.
I would advise that you move on, at least for now. Please don't hang around waiting for him to change his mind - it might never happen, and you'll have wasted your energy on him.
It was easier for me in a way because I ended up moving out of the city he was living in, so I wasn't seeing him every day like before.
Are you still at school?