Hi Stello,
In the context of the verse Paul is talking about persecutions, sufferings, and "what kind of things happened in Antioch, Iconic and Lystra and the persecutions I endured." In the verses before that he refers to men who oppose the truth and have depraved minds. For those reasons and more I can't imagine that he is talking about anything other then external persecutions - how other people treat us. The internal struggles we have Paul addresses frequently, but here he is contrasting his way of life and faith with the those who are lovers of themselves and abusive.
As far as where is the persecution in your own life, I can only say life is a marathon (usually) and not a sprint. Many things happen to us as we grow in years and in wisdom. A decade ago I would have said I really felt no persecution in my life- right now I can plainly see it because of the rift in my own family because some of us have followed Christ. There are those in my circle of friends who plainly question my 'christianity' because I believe in universal reconciliation. Try to say no to same sex marriage in this culture and watch what happens. Believe that God is the creator and author of life and someone will be pushing back. Or refuse to look the other way when there is theft or something illegal going on in your workplace. Or refuse to lie for someone. When I open myself up to carrying the cross of Christ- there's usually someone around who is happy to try to trip me up.
Just love people well and honor the name of Christ- the rest will follow.