SolarPowerForum.net > Battery Sizing Calculator

Posted in Battery by TenagaSurya on April 20, 2011

SolarPowerForum.net > Solar Energy Forum > Solar Energy
Battery Sizing Calculator

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11-06-2010, 11:22 PM
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Battery Sizing Calculator

Battery sizing is really a pretty simple straight forward process and is crucial to get right for an Stand Alone Off-Grid Battery systems. In the past I have used a default KISS approach (Keep It Simple Stupid) to make things really easy. The formula for the KISS method is:
(Daily Watt Hour Usage x 5) / Battery Voltage
This works in most applications in moderate climates where winters are fairly mild, and uses a default 2.5 consecutive Cloudy Days to the 50 % Depth of Discharge threshold cutoff point. So as an example let’s use 1 Kwh or 1000 watt hours per day with a 12 volt battery and we get:
(1000 wh x 5 days) / 12 volts = 416.66 Amp Hours

So we would round this number to say 420 up to 450 AH and then go select batteries to do the job. Simple enough and is a very valid method to the design process.
OK so let’s say you want more or less than 2.5 days autonomy (cloudy weather days) and live in a cold climate. What follows is a simplified IEEE method system designers will use.
Determine how many Watt Hours you need in a single 24 hour day. WH = ___________.
Determine the maximum number of consecutive cloudy days. The range is from 1 to 5. Caution here choosing a low number less than 2 does not give you ability to get through a cloudy spell and you will likely need a generator and a conventional battery charger in addition to a solar charger. Recommend minimum is 2.5 days or a range of 2.5 to 5 days. Days = __________.
Multiply Line 1 by Line 2. WH = ______________
Determine maximum amount of Depth of Discharge in a percentage. This determines a safety factor to extend battery life up to the maximum limits and leaves some emergency power. 50% is usually the default choice. You can go less like 40%, but going lower than 50% makes things very expensive. DoD % = ___________.
Divide line 3 by line 4 WH = ___________.
From the Table below find the correction factor multiplier for your area winter ambient temperature that the batteries will be exposed too. Correction Factor = ____________.
Multiply line 5 by line 6 WH = ____________.
Now to find the battery AMP HOUR capacity needed Divide line 7 by the system Battery Voltage. AH = __________________.
Temperature Correction Factor Table:
80 F / 26.7 C = 1.00
70 F / 21.2 C = 1.04
60 F / 15.6 C = 1.11
50 F / 10.0 C = 1.19
40 F / 4.4 C = 1.30
30 F / -1.1 C = 1.40
20 F / -6.7 C = 1.59
So let’s run through another example using the same as we did with the KISS method with the same inputs of 1000 WH per day, 12 Volt batteries, 2.5 cloudy days and now operating at 40 degrees F ambient temperature in winter:
1000 WH
2.5 days
1000 wh x 2.5 = 2500 wh
50 % = .5
2500 wh / .5 = 5000 wh
5000 wh x 1.30 = 6500 wh
6500 wh / 12 volts = 542 Amp Hours @ 12 volts.
Round that up to 550 AH and go shopping.
Dereck, PE, MSEE

SOURCE: http://www.solarpowerforum.net/forumVB/solar-energy/4961-battery-sizing-calculator.html

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8 Responses

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  1. TenagaSurya said, on April 20, 2011 at 8:48 pm

    Reserved Forum discussion links.

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