I am new to Stack Exchange. I know there is a lot of discussion sites for Stack Exchange. I would like to know about there were any Stack Exchange site available for discussing and solving personal psychological problems.
There is a beta site Cognitive Sciences beta where you can ask questions related to Psychology. Before asking any question please have a look at it's help page. But as @jonsca advised, please avoid too localized questions. If you have personal problem then it is not a site you are looking for.
From its help page:
Cognitive Sciences Stack Exchange is for researchers, academics, students, and anyone else needing expert answers to advanced questions in the cognitive sciences.