Small Engines (Lawn Mowers, etc.): Engine stalling problem, cub cadet rzt 50, kawasaki engines

Question
I have a new (less than a year old) Cub Cadet RZT 50 mower with a 22 HP Kawasaki engine.  It will start fine, will run for a while and then suddenly stall out.  If I throw the handles out to the side quickly to disengage the load the engine will sputter for  a few seconds and then spew smoke and some times recover.  If it does stall it appears to get flooded and   is impossible to start unless I remove the plugs dry them and crank the engine to get rid of the excess fuel.

Could you explain the function of the fuel solenoid on the carburetor?

Any ideas that would help me solve this problem?

Answer
The function of the fuel shutoff solenoid is 2 fold.
Function 1 is to prevent the engine from "backfiring" when you shut it off.
The second function is to stop fuel flow quickly to kill the engine instantly while under load. Al equipment is required to shut off within 3 seconds if you come out of the seat etc. The only way the engine can do this is with an instant fuel shutoff, thus the solenoid.
Most Kawasaki engines have a TDC module. TDC stands for Time Delay Control. You have to have this module or your engine would stop and restart every time you hit a bump and pop out of the seat. I can't tell you for sure if your machine has this module with out a model and spec number. I can't imagine it not having it. If the machine is only 1 year old take it back to your dealer. Failure of this component would be under warranty. Make him fix it for free!