How to put music my iphone without having to connect it to my computer?

Recently i discovered that something has gone wrong with my Iphone that disallows it the ability to charge when its on. Therefore in order to charge it, i must turn it off. This leaves me unable to sync my phone to my computer and put music on it. All the music I have purchased was not all from the itunes store, but they are all in my itunes library. I was wondering if it is possible to connect my phone to my itunes library via icloud or something in order to put music on my phone.

Download a app called ultra free music download it's free from the App Store and I use it on my iPhone.

Depending on which iPhone you have & what version of iOS it is running you could sync it through Wi-Fi. It would be the only way in this case. ICloud would only work for iTunes purchased music.