Glad to see the problem got resolved.
I apologize for any confusion my post caused, I should of added some more information to the following statement.
<font color=blue>The voltage you read will be dependent upon the state of charge and condition of the battery, along with the condition of the alternator.</font color=blue> I should of added:
You must have a battery in good condition and fully charged to diagnose a charging system using a voltmeter. And even then, you can cannot completely diagnose the problem using just a voltmeter.
As neil pointed out, the charging system works in terms of amps. It sends current (amps) into the battery, which raises the potential energy of the battery (volts). The voltage regulator caps this voltage at 13.7 or so to keep the battery from boiling dry and to protect the electrical consumers. The battery acts as a storage chamber for potential energy, much like a water tower does in a water supply system. Starting your tractor is kinda like flushing your toilet in that sense. /w3tcompact/icons/smile.gif
If the battery is bad, it will completely confuse any voltage reading you get. How it affects the voltage depends upon what type of failure has occured in the battery. (sulfated plates, dry cells, open circuit, ect)
You need to be able to measure the current flowing out of the alternator to pin down whether you have an alternator or battery problem. You also need an amp meter to measure key-off draw, the other problem that can occur which would discharge the battery. Of course, you can also use a process of elimination, like Danny used. But, the combination of voltage and amperage reading, in conjunction with a method of placing a artificial load on the system, can give you a matrix that will diagnose any charging/battery problem very quickly. That's how modern computerized charging system testers work.
You don't need a fancy computerized machine to diagnose the system. And you can get away without a load machine, since you can place a load on the system by starting the tractor or turning the lights on. But you do need a way of measuring those amps, since they are the things that actually do the work.
FWIW, the nominal voltage of a six cell lead-acid battery at room temperature is 12.54. I would be suspicious of a battery that measures 12.75 (assuming accurate meter, and no surface charge) This is often times a sign of sulfated plates.
And another FWIW, there is no difference between a lawn tractor charging system and an automobile charging system, other then size and maxium amperage output.
Dave