Instead of buying 16 batteries @ 225Ah rating, consider using bigger batteries. The T105 are 225Ah (from a quick google I did) but there are larger batteries in the 305Ah, or 430Ah ratings that you could use. Then you still only need 8 batteries, but because your Ah capacity has increased, you can increase your charging currents.
ie a Crown CR430 battery bank (430Ah @ 20hr rate) means you can put 43-53A into the batteries. So you could look to a 40-50A charger to push the charging capacity up.
a 430Ah battery bank @ 48V would push you up to 20.6KWh with your charging system returning that at a rate of about 2100Wh per hour +/- a few hundred. So if your solar system and/or generator are sized to support the 50A charging rate, you'd only need to run for an hour or two to replenish your daily usage.
That's getting into a large system... Your original estimates of ~10KWh (3 days @ 50% DOD) seem reasonably legit. You're going to get some charging capacity, even on cloudy days. Not much but it does add up a little. And if you run the generator for the clothes drying you sound like you should be on the right track. IF you really want to run the full gamut off the batteries, then consider investing in a 300W inverter for your basic lighting loads, and a 2000W inverter for your dryer. The reasoning for this is based on the "Idle losses" that all inverters have. If you look at the spec sheets of the inverters, they'll have it listed. It is the amount of energy wasted by the inverter PER HOUR to sit there idle, doing nothing. A small 300W inverter might be like 3-8W. a 2000W inverter is like 25W... That adds up to around 600Wh per day of losses just so you can run your dryer once in a while. That'll run the batteries and system harder and lead you to run your generator more often, as well as replace your batteries sooner. Many off grid users have 2 inverters. a large for big loads that you can switch on just when you need, and a small inverter you can leave running 24/7 for your lights and cell phone chargers/etc.
ie a Crown CR430 battery bank (430Ah @ 20hr rate) means you can put 43-53A into the batteries. So you could look to a 40-50A charger to push the charging capacity up.
a 430Ah battery bank @ 48V would push you up to 20.6KWh with your charging system returning that at a rate of about 2100Wh per hour +/- a few hundred. So if your solar system and/or generator are sized to support the 50A charging rate, you'd only need to run for an hour or two to replenish your daily usage.
That's getting into a large system... Your original estimates of ~10KWh (3 days @ 50% DOD) seem reasonably legit. You're going to get some charging capacity, even on cloudy days. Not much but it does add up a little. And if you run the generator for the clothes drying you sound like you should be on the right track. IF you really want to run the full gamut off the batteries, then consider investing in a 300W inverter for your basic lighting loads, and a 2000W inverter for your dryer. The reasoning for this is based on the "Idle losses" that all inverters have. If you look at the spec sheets of the inverters, they'll have it listed. It is the amount of energy wasted by the inverter PER HOUR to sit there idle, doing nothing. A small 300W inverter might be like 3-8W. a 2000W inverter is like 25W... That adds up to around 600Wh per day of losses just so you can run your dryer once in a while. That'll run the batteries and system harder and lead you to run your generator more often, as well as replace your batteries sooner. Many off grid users have 2 inverters. a large for big loads that you can switch on just when you need, and a small inverter you can leave running 24/7 for your lights and cell phone chargers/etc.
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