Mike, do you mean you are having trouble with your stove re-lighting? Technically, the fire goes out every time the stove cycles and the damper closes.
The key to keeping a good fire going is establishing your coal bed. To establish a good coal bed, load the stove with lots of smaller pieces and put in more than you would need and more frequently than you normally would need. Also, some wood coals better than others. I learned that Cherry is terrible at leaving coals. Hard to keep your fire going. Get some good dry wood, split to small pieces, load frequently and more than normal and you should get there.
Another thing I do when it warms up is I drop my differential down to less than 10 and I drop my high temp down to 175 or 170. Good luck and feel free to call me if you can't get it figured out!