ANDY'S ANSWER: I'm glad you are trying to stop cutting. It's a dangerous practice and solves nothing for you. When you are having your period, your hormones may be helping to make you feel more anxious, irritable or depressed and that could be the reason that you struggle more at that time. The following sites may be helpful to you to understand and get help for your cutting.
helpguide.org/mental/self_injury.htm