What are the maximum AC loads for 12V, 24V, and 48V battery power supply?

The maximum AC load that can be supported from a battery power supply depends on a number of factors, among them the capacity of the battery, usually measured in Ampere-hours (Ah), the efficiency of an inverter used to convert DC to AC, and the power requirements of the load. However, we can determine the theoretical maximum AC load for each battery voltage by using basic principles.

### 12V Battery System

- Battery Capacity: Suppose you have a 100Ah battery.
- Power (Watts) = Voltage (V) × Current (I)
- For a 12V battery:
- Power (DC) = 12V × 100Ah = 1200Wh
- Power (AC) = 1200Wh × 0.85 = 1020Wh

- Maximum Load (Watts): The above power can be maintained until the battery is discharged.

### 24V Battery System

- Battery Capacity: Suppose you have a 100Ah battery.
- For a 24V battery:
- Power (DC) = 24V × 100Ah = 2400Wh
- Power (AC) = 2400Wh × 0.85 = 2040Wh

- Maximum Load (Watts): This power can be sustained until the battery is discharged.

### 48V Battery System

- Battery Capacity: Assume that you have a 100Ah battery.
- For a 48V battery:
- Power (DC) = 48V × 100Ah = 4800Wh
- Power (AC) = 4800Wh × 0.85 = 4080Wh

- Maximum Load (Watts): This can be drawn from the battery until it goes empty.

### Important Considerations:

- Battery Capacity (Ah): Increased capacity will also mean higher loads are supported.
- Inverter Efficiency: Greater efficiency will imply more usable AC power.
- Load Duration: This will be based on the total energy amount. The effective continuous running duration will depend on the actual loading you pull and the power draw.

In practice, safety margins should always be accounted for as well, along with inverter surge capacity and battery degradation over time.