100Ah to kWh Conversion for Battery

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100Ah to kWh

100Ah is used to mark the capacity of a battery, among which 100AH lead acid and 100AH lithium batteries are more commonly used. Ah stands for Amp-hours and alone cannot well represent the actual capacity of a battery. This article will briefly explain how to convert 100Ah to kWh, so that you can better calculate the relationship between battery capacity and system runtime in various scenarios.

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Ah or Amp-hours often appears in battery

100Ah Lead Acid Battery

The above picture shows a 100Ah lead acid battery commonly used in the market. Generally, the voltage of lead acid battery is 12V. We can read its important parameters from the battery datasheet.

50Ah Lithium Battery

The picture above is a lithium battery. Its capacity is marked as 100Ah and its nominal voltage is 48V. This type of lithium battery is also a commonly used variety in communications and energy storage scenarios.

Below we understand the 100Ah to kWh conversion by calculating and comparing the capacities of these two batteries.

Understand kWh

First of all, we need to understand that kWh is the basic unit for measuring electricity. You can understand that Kwh is the unit we use to pay our electricity bills. So how much electricity does a battery have? The standard unit should be how many kWh it has. So how is kWh defined? Let’s understand:

The kilowatt-hour is a composite unit of energy equal to one kilowatt (kW) sustained for (multiplied by) one hour.

Source:Kilowatt-hour

This explanation is very theoretical and difficult to understand, so let’s try to draw a picture to explain it.

1Kwh/1000Wh Definition

First of all, we need to clarify a concept, 1kWh = 1000Wh, which will be used in subsequent calculations.

The above picture is the explanation of 1kWh,or we say is 1000Wh.First, we split the word Kilowatt-hour into two words, Kilowatt and hour. In fact, Kilowatt means that the rated power of our device is 1000w, and one hour is converted to second, which is 3600 seconds. So 1 Kilowatt-hour is actually the amount of electricity consumed by a device with a rated power of 1000W running for 3600 seconds. So it can be simply understood that 1000W is the amount of electricity consumed by this device per second, representing the instantaneous state of electricity consumed by this device at this second. And 1 Kilowatt-hour refers to the electricity consumed by this device after running for one hour, which is the cumulative total amount of one hour. 

If we put aside this issue and understand it as the water flow rate and the total amount of water that finally flows out:

Comparison of the relationship between water flow and time

In fact, it is similar to the water flow rate and the total amount of water that finally flows out. If the water flow rate is 1000L/Second, this speed represents the instantaneous state of the water flow rate in one second. And this instantaneous state of the water flow rate needs to be multiplied by the time the water flows out to get the total amount of water that finally flows out. If you want to calculate how much water flows out in an hour, you need to multiply the water flow rate 1000L/Second by 3600 seconds (one hour) to get the total amount of water that finally flows out.

So if we imagine the 1000W device reated power as the water flow rate and Kwh as the total amount of water that finally flows out, isn’t it much easier to understand?

2000W Runs Half Hour

Let’s change the understanding of the above picture a little bit. We have a device with a rated power of 2000W. It runs for half an hour (1800 seconds). How many kWh does it consume? From the above picture, we can see that it is actually 1kWh. Again, 1kWh is the cumulative value of the power consumed by a device in an hour. In the example above, although the device only runs for the first half hour and does not run for the second half hour, its cumulative power consumption for one hour is still 1kWh.

100Ah to kWh Conversion

We convert 100Ah to kWh using the following formula:

Battery Capacity(In Wh) = Battery Voltage * Battery Amp-hours

Battery Capacity(In kWh)= Battery Capacity(In Wh) /1000

Please note that 1000Wh = 1kWh

According to the above picture, we read the battery voltage or the nominal voltage, as 12V. And its battery amp-hours is 100Ah. Then, substituting it into the above formula, we can get the following calculation:

Battery Capacity(In Wh) = Battery Voltage * Battery Amp-hours

                                           = 12V*100Ah 

                                           = 1200Wh

Battery Capacity(In kWh)= Battery Capacity(In Wh) /1000

                                           = 1200Wh/1000

                                           =1.2kWh

According to the above picture, we read the battery voltage or the nominal voltage, as 48V. And its battery amp-hours is 100Ah. Then, substituting it into the above formula, we can get the following calculation:

Battery Capacity(In Wh) = Battery Voltage * Battery Amp-hours

                                           = 48V*100Ah 

                                           = 4800Wh

Battery Capacity(In kWh)= Battery Capacity(In Wh) /1000

                                           = 4800Wh/1000

                                           =4.8kWh

Based on the above calculations, we can know that the capacity of the first lead-acid battery is smaller than that of the second lithium battery.

So please note that the unit of Ah cannot fully represent the capacity of the battery, and the battery voltage factor needs to be considered. So when we are asked to convert 100AH to kWh, we need to add the battery factor to the calculation. And flexibly apply this formula:

Battery Capacity(In Wh) = Battery Voltage * Battery Amp-hours

Battery Capacity(In kWh)= Battery Capacity(In Wh) /1000

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