Easily. I made a 2400 watt hour case for less than $1000, and it has a high-end solar charge controller, 2200 watt output, 12 volt accessory jacks, usb chargers, and XT60 connectors.
Here are new 3.2v 25ah prismatic lifepo4 cells. These are Topband cells. These cells came out of overstock, never cycled EV modules and every cell is fully tested to meet the most strict standards. Every cell tested between 24-26ah on a higher 1c discharge rate so they are testing perfect. You...
batteryhookup.com
Here is 1.9 KwH of super high quality batteries (I have a bunch and they are the most matched cells I've ever used) for $320. They are small and can be fit into almost any case, you could use between 12 and 24 of them depending on the size you want. You would probably need to go with 24 or 48 volt battery configuration to safely (and at a low temperature) use a 3k watt inverter. I dont know much about 220 volt inverters, but it shouldn't be more than $4-500 for a decent 3k watt.
Bluetooth JBD BMS units are about $50-100, depending on the amperage rating. Remember that a higher voltage system needs a lower amp BMS. 12 volts @ 3k watts is 250 amps, 24v @ 3000w is 125a, and at 48 volts, it's only 63a. A 150 amp (for 24v) BMS is more $ than an 80a (for 48v) unit.
For under $1000 usd you could build a box that can easily out-perform that, and have more features.
Check out my build, and I'll happily answer any questions!
I redid my original CALB 200ah (2p4s, 100ah nylon cases cells) box with 90ah (2p4s) aluminum cased cells. They are much smaller and much lighter, so they allowed me to add quite a few things that I didn't have room for before. - Plano trunk - JBD 150 amp BMS - Hall sensor with display - Fused...
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