My garden tractor is not holding it's battery charge. I replaced the battery, but still doesn't hold a charge after I use it.

The electric clutch draws current while engaged. It is quite hungry on power which means that if the battery is low, the generator may not be making enough to charge the battery and hold the clutch in too. This is why the batteries on these machines are so large relative to say an ATV battery. I have several times experienced units with low batteries which started the engine OK but would not hold the clutch in. The battery may be getting old and not holding the charge. Try charging with a mains operated charger. Make sure to check water level in battery cells. Running them dry can ruin the battery.

You need a new alternator...Alternators regulate current to the battery to keep it charged.

it does have a low amprage charging system under the flywheel

Try getting new switch. Check bad spots.

I don't see how this is related to the float?
With the engine running, measure output voltage from the alternator/charger at the battery. It should be about 13.5 vDC. It should increase a little bit with higher revs. If voltage doesn't change with engine running vs. engine off then you probably have a bad alternator which probablly has to be replaced or repaired by a service shop.

The wires connected to your PTO are the key to your problem. The electric pto is designed to run off the engine charging system when it is engaged and will run your battery down if it isn't. The fact your battery will charge and hold a charge tells me it is probably ok. You will need a wiring diagram to figure this out. You might check outdoordistributors.com. They have pdf files that you can view online for most lawn tractors. Good luck Tim

There are lots of things to check here. 1st is the battery getting a charge after the engine is running. If it is getting a charge then I would recommend putting the battery on a charger to bring it up to a full charge. Then if it loses the charge again the battery will need to be replaced.

If not cranking replace the battery - they do wear out.

seyounds like the chargeing system is out it will drain the battrey

Take battery and have it checked