Technology
Evaluation of Battery and Inverter Sufficiently Powering a 1 HP Submersible Pump
Evaluation of Battery and Inverter Sufficiently Powering a 1 HP Submersible Pump
To determine if a 2.5 kVA inverter and two 200 Ah batteries can power a 1 HP submersible pump for 2 hours daily, a series of calculations must be performed. This guide will walk you through the process step-by-step while also considering additional factors such as the pump's power factor, inverter efficiency, and the practical limitations of lead-acid batteries.
Step 1: Converting Horsepower to Watts
A 1 HP motor approximately equals 746 watts. However, the inverter's efficiency must be accounted for. Assuming an inverter efficiency of 90%, the calculation becomes:
Power consumed by the pump frac{746 text{ watts}}{0.9} approx 829 text{ watts}
Step 2: Calculating the Total Energy Consumption
The pump is required to run for 2 hours daily. Thus, the total energy consumed can be calculated as follows:
Energy (Wh) Power (W) times Time (h) 829 text{ watts} times 2 text{ hours} 1658 text{ Wh}
Step 3: Calculating the Battery Capacity
The two 200 Ah batteries are typically rated at 12 volts. Therefore, the total capacity in watt-hours (Wh) is:
Total capacity Voltage times Capacity Ah 12 text{ volts} times 200 text{ Ah} times 2 4800 text{ Wh}
Step 4: Checking if the Batteries Can Support the Load
To ensure the batteries can support the pump's operation, we compare the total energy available from the batteries with the energy required by the pump:
Total Battery Capacity: 4800 Wh Energy Required by Pump: 1658 WhWith a clear margin, the batteries have ample capacity to handle the energy demand.
Additional Considerations
However, there are other factors to consider, such as the inverter's continuous rating and the additional loads that might be connected. Additionally, the practical limitations of lead-acid batteries should also be taken into account:
1 HP motor usage: 0.754 kW x 2h 1.508 kWh Lead-acid battery power: 4.8 kWh Safe energy draw: 2.4 kWhIt's important to note that when an AC motor starts, it draws an initial current that is several times the rated current. For a motor with a power factor close to 1, the inverter should be able to start the motor. If the submersible pump uses DC converted from AC, it should present no issues. However, there will also be a loss due to inverter conversion efficiency.
The inverter's efficiency (often around 85-90%) and the starting current of the motor must be considered. This additional wastage must be factored into the calculations to ensure the system's viability.
In summary, a 2.5 kVA inverter and two 200 Ah batteries can indeed power a 1 HP submersible pump for 2 hours daily, given the sufficient battery capacity and proper consideration of the mentioned factors.
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