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The inverter label says:
* Model: Felicity Solar IVPM10048
* Nominal DC input: 48V
* Rated output: 10,000 VA / 8,000 W
* Built-in MPPT: 120A
Felicity Solar’s official specification confirms that the IVPM10048 has a 48V nominal DC battery input.
And the battery you showed earlier is marked 51.2V, 10kWh. That’s normal: a LiFePO4 battery marketed as a 48V battery has a nominal voltage of about 51.2V.
So your system is:
Battery: 51.2V / 10kWh
Inverter: 48V nominal battery system
Inverter output: 230V/220V AC
Inverter power: 8,000W continuous rated output (10kVA)
So yes, the 51.2V battery is compatible with this 48V-class Felicity Solar inverter, assuming the battery’s BMS/communication and charging settings are configured correctly