What do you do if your PhD advisor tells to publish your work alone without his name?
Consider the possibility that you are seeing things emotionally rather than rationally. Additionally, you should critically reflect whether your expectations of the operational principles of doing a PhD are realistic. Based on the little information you provide, it appears that your supervisor is doing a fairly good job. He is answering questions and helping you out in your work. In a nutshell, this is the kind of support you should expect.

It is per se not your supervisor's job to "include you in his papers". This has almost certainly nothing to do with him being "ashamed" of you. Authorship in papers is not a courtesy that is, or should not, be granted based on friendship, but due to intellectual contributions. If you are not contributing to these papers, why would your supervisor add you to the author list?

Of course you could ask the question why your supervisor is not inviting you to help with his papers. This may be because your expertise is not necessary for the papers (which is not the same as that he does not respect you!), or maybe the papers have developed from a longer ongoing collaboration. You should not fault your supervisor for not warping his projects just so that you can fit in them somehow.


  What does this mean? How to handle such a situation?


It means that he wants you to be an independent researcher, as you should be. Why do you think there is something to handle, other than to heed his advice and look into publishing your own papers?

In many disciplines, it is fairly common that PhD students are expected to publish their own research without their supervisors. Have you actually attempted to do so? Have you talked to your supervisor in what capacity (helping with experiments and arguments, structuring and presentation, reviewing drafts?) he would be willing and able to help should you go ahead and publish your own work?