I had the same problem but after reading about some people chasing money after plumbers who weren't sorting the problem, I decided to learn the system myself.
Yes there are various reasons for this automatic cut out of the burner but please try the basic one first.
Maybe the hot water is set too high.
Turn the temperature of the hot water down to 1 or even less, turn the hot tap on.
The boiler should still fire up.
If this doesn't cut out then turn the temperature up in small incriments untill the boiler starts cutting out again.
Then turn it back down a little bit.
It worked for me.
Jamie.
September 2008