I did a little searching and found that your tractor has a Yanmar 3TNV76 diesel engine with a 20 amp output dynamo not an alternator.
The difference is that an alternator uses an electric current to produce a magnetic field and then rotates coils of wire through the field to produce electricity.
The dynamo has real magnets inside to produce a magnetic field and then rotates the magnets iinside fixed coils of wire to produce electricity.
It does not need any signal to turn it on like alternators do.
Quoting the shop manual: "The dynamo consists of a series of permanent magnets which rotate around a stationary stator coil. The magnets are attached to the flywheel (inside the dynamo) which is rotated via the engine cooling fan drive belt. The resultant output is an alternating current. The alternating current is converted to direct current by the current limiter. The current limiter outputs charging direct current to the battery."
I found a Yanmar shop manual at the following link:
http://www.martindiesel.com/Documents/New TNV-IDI Service.pdf
I think you have a Kokusan GP9191 dynamo rated for 12Volt dc 20 amps. I am giving you an educated guess based upon the info I can find on line.
Instead of a voltage regulator it has a current limiter which converts alternating current to direct current to charge the battery and operate lights etc.
In section 11 of the shop manual there is an excellent trouble shooting chart you should look at.
You have not answered the question "does the charge indicator bulb light up when the key is turned on."
I would expect that bulb failure is a remote possibility as it sees very little use lighting up for seconds before you start the engine.
Is it possible you have squirrels or other nesting somewhere in your engine compartment. They love chewing on wires.
On my Kubota they love being near the turbo and I almost had a fire when the nesting material began to smoke.
From a 2012 post on this form "My JD 950 was attacked my Rats, and now my wiring is a mess."
Do you have a way to check the battery voltage when the tractor is off and running?
Dave
M7040