Stationary bike power limit?

On the stationary bike, I generally use the random hill setting to keep it from being monotonous. The difficulty level goes from 1-20. I generally keep it around level 10, so when it's at the biggest hill in the program, it's about 220-240watts. The problem with level 10 is that at the lowest point in the hill program, it's like 50 watts, so I put the level to 20. The thing is, the bike can't handle level 20 on the big hill. From what I've noticed, the bike goes into a shutdown and reset mode anytime I've hit over 300 watts. Kinda lame if you ask me. A pro cyclist would break the bike; I think they average 300watts during a hard stage of the Tour de France. So that would be for around four or five hours. Those guys are animals.