Please watch the video to put it in church words.
Monsignor Pope Ping!
Basically, annulment means that marriage was never a real marriage and sort of never happened. This would be the case if the couple never consummated the marriage, or if one of the parties did not want to have children, since children are the primary purpose of marriage. For example, if the husband always insisted on wearing a condom, or if the wife always insisted on taking birth control.
However, Vatican II has a whole different take on this, and a friend of mine whose husband had refused her children was not allowed to get an annulment on that basis.Even though that is the primary basis. She got it on psychological immaturity, which is nonexistent. Vatican II is not in favor of children and not in favor of marriage. Unless its gay.