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Battery Consumption Calculation

03/13/2019 10:44 PM

Hello I have a device which consumes 83uA during idle, but once every 2 hours it consumes 247mA for 12s during transmission of a signal.

The device is powered by a 6600mAh LiPo battery. I am trying to calculate how long the battery will last and have used the following formula:

% Of hour transmitting = (12s / 3600s)*0.5 = 0.17%

% Of hour idle = 100% - 0.17% = 99.83%

Total amp consumption per hour = (99.83% * 83uA) + (0.17% * 247mA) = 0.42mAh

On a 6600mAh battery, this would imply the device would last 15714 hours or around 1.8 years.

I know that LiPo batteries self discharge over time and various papers on the web suggest this to be 10% per year? How do I work this into my calculation and does anyone have any other sources about self discharge rates of LiPo batteries? Am I better off using another type of batteries ? (say NiHM?)

The device will operate outside in the elements, typically @ 0-30degC (during 9 months of the year) and 25-35 degC during summer (3 months of the year). Obviously not continuously at these temperatures as temperature varies over the course of a day.

I am trying to achieve 3-5 years battery life and can bump the battery capacity up to 52A/h if I have to (preferably not).

It will be difficult to actually test this without having the device sitting out there for 5 years. Can anyone think of any types of tests I can do to gain some comfort?

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#1

Re: Battery consumption calculation

03/13/2019 11:52 PM

Well these are usually designed with a comfortable safety margin...not all batteries are created equal...I would suggest field testing the battery under accelerated use... Will these batteries be recharged with solar panel?...

https://www.mdpi.com/2076-3417/9/3/559/pdf

https://www.dfrsolutions.com/blog/how-to-select-the-right-battery-for-your-application-part-1-battery-metric-considerations

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#3
In reply to #1

Re: Battery consumption calculation

03/14/2019 2:36 AM

..."Do Not fully discharge Lithium Polymer batteries. The low voltage limit for discharge is 3.0 volts per cell. Allowing the cell to drop below this voltage will irreversibly damage its internal chemistry."...

..." Lithium Polymer cells experience a self-discharge rate of approximately 5% per month"...

http://www.manoonpong.com/Other/main_page=page_2.pdf

https://en.wikipedia.org/wiki/Self-discharge

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#4
In reply to #3

Re: Battery consumption calculation

03/14/2019 2:52 AM
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#2

Re: Battery consumption calculation

03/14/2019 1:54 AM

In the line (99.83% * 83uA) + (0.17% * 247mA) = 0.42mAh, the arithmetic is a bit off;
it should be 99.83*0.083mA + 0.17*247mA ≈ 0.503mA.

The rounded-off %'s cause a slight overestimate; it's really closer to 0.495mA; call it 0.5mA.

6600mAh/0.5mA = 13200 hr. (Then 13200/8766 ≈ 1.5 yr). A 56aH battery would be almost 3x what you need.

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#5

Re: Battery consumption calculation

03/14/2019 4:11 AM

You MUST get data from the specific battery manufacturer, it should show various curves for operation under differing loads and loads of other useful information.
You can speed up your testing by a making it transmit more frequently, say every 5 minutes, and maybe add an extra load to increase the quiescent current proportionally.
It won't be quite the same, but it's better than nothing.
Alternatively, or, in addition to the above, check on the construction of the battery. You may be able to test using a smaller batter and interpolate the results if the two batteries just scaled versions of each other.
If you can't make the equipment perform how you want for testing, just make a dummy load that can be switched in with a simple timer. The dummy load can be scaled to give say 50 times the load... don't scale it up too much else the characteristics will be too different.
Once you have an estimated battery life... half it, as the performance of batteries is very variable ! (trust me)
Del
PS. I've been in this situation and by getting good data and being very certain of my estimated 2 year battery life (we quoted 1 year) any problems of short life could be confidently attributed to faults (usually 1 cell in a pack of 4 being bad)

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#7
In reply to #5

Re: Battery consumption calculation

03/14/2019 4:25 AM

Thanks for the response del.. this is what I was going to do, so you’re saying halve the measured time to account for the self discharging aspect and variability between batteries?

Also I take it you can parallel LiPO batteries without any risk..

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#8
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Re: Battery consumption calculation

03/14/2019 4:44 AM

Pretty much yes.
When I was doing this sort of thing we had a competitor who made the schoolboy error of ignoring the quiescent current and only taking the higher intermittent load. He quoted a huge battery life and got his fingers burnt when customers found that the battery life was much much shorter.
It's just sod's law, even if you did all the testing possible, you'd find at some point you'd get batches of batteries where the life was well down on the calculated.
You'll probably find the manufacturer won't actually guarantee battery life.
It's better to quote 1 year and have customers find out it's usually 2 rather than have customers and your boss beating you up 'cos you promised 2 and it's actually 1 !
Otherwise know as covering your backside!
And when marketing want to claim 2 years life... you say it's on their head.... 'cos you know at some point, someone will change battery supplier to cut costs and the life will drop.
Call me an old cynic if you like!
Del

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#12
In reply to #5

Re: Battery consumption calculation

03/14/2019 11:30 PM

"Once you have an estimated battery life... half it"

I do the same thing with communication speeds (particularly radio comms). Take what the OEM says, divide it by 2, THEN do the rest of the calcs.

Did that for 43 years; Ar$e is still free of alligator bite marks.

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#13
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Re: Battery consumption calculation

03/15/2019 4:20 AM

LOL
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#6

Re: Battery consumption calculation

03/14/2019 4:22 AM

Thanks for the replies. No solar panel. I think I’ll just account for the self discharge rate in the initial sizing.

If the discharge rate is say 5% per month, is the following calculation correct?

% Of hour transmitting = (12s / 3600s)*0.5 = 0.17%

% Of hour idle = 100% - 0.17% = 99.83%

Self discharge = (.05/30/24) x 6600 = .45mA

Total amp consumption per hour = (99.83% * 83uA) + (0.17% * 247mA) + 0.45mA ~= 1mAh

On a 6600mAh battery, this would imply the device would last 6600 hours or around 275 days?

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#9
In reply to #6

Re: Battery consumption calculation

03/14/2019 4:46 AM

Don't forget to make allowances for temperature....this is a variable, so go with worst case scenario...

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#10
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Re: Battery consumption calculation

03/14/2019 4:49 AM

Yup, that's another one!
It's all these little things that add up and we all know that factors always conspire to make any situation worse! Hence my advice to half the calculated battery life.
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#11

Re: Battery Consumption Calculation

03/14/2019 6:27 PM

I would use dry cells.

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#14
In reply to #11

Re: Battery Consumption Calculation

03/15/2019 4:22 AM

Yup, that's what I did 4 alkaline C cells packs a lot of mAh ... some others, just meh
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#15

Re: Battery Consumption Calculation

03/17/2019 10:38 PM

Thanks for the responses.

I have re-completed my battery calculations with the above mentioned considerations and I require 18000mAh for my applications.

Just to add some context, I am going to be distributing this device and using it in the industrial world, so I need to implement a battery supply which is robust and most importantly safe.

My understanding of batteries is that having them wired up in series is much safer than wiring up in parallel:

- A shorted cell in parallel will lead to potential fire risk as the others will discharge high currents. An open cell in parallel will just mean loss of capacity.

- A shorted cell in series just means a lower voltage output. An open circuit in series will mean zero output.

Hence, the only risk I am aware of is wiring in parallel and experiencing a shorted cell. Am I correct?

I am reluctant to use parallel combinations of batteries without installing a whole bunch of fuses to protect from high currents with shorted cells. So we are left with installing batteries in series.

I have found some D-sized alkaline batteries at 18A/h capacity (output voltage =1.5V). I can see that typically the alkaline batteries supply this level of current up until about output voltage = 1V.

My device has an onboard voltage regulator and let's assume it can regulate voltages between 3-6V (required operating voltage = 3.7V). Is my safest best bet to install 4 of these 18A/h capacity batteries in series and let the voltage regulator compensate for the voltage fluctuation down the end of life voltage of 1V? This should ensure the device will until the batteries are dead.

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#16
In reply to #15

Re: Battery Consumption Calculation

03/18/2019 4:38 AM

Yup, that sounds like pretty much what I did (I used 4 C cells in series.) If you use a low drop out regulator you'll be able to get good battery life.
I think I used a Maxim part, they have some good power supply chips.
I liaised with a battery supplier to get the 4 packs built up with a connector and thermal trip installed.
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#17
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Re: Battery Consumption Calculation

03/18/2019 12:02 PM

Why wouldn't you just go with 6 volt lantern batteries...?

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#18
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Re: Battery Consumption Calculation

03/18/2019 12:42 PM

Connectors, cost, lack of thermal trip.

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#19

Re: Battery Consumption Calculation

03/18/2019 10:33 PM

After much more research, I've concluded the best battery for my device would be a Lithium Thionyl battery, due to temperature robustness, cost and capacity.

Tardian make a single D type 19A/h which has a continuous operating current of 360mA.

https://tadiranbatteries.de/pdf/lithium-thionyl-chloride-batteries/SL-2780.pdf

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#20
In reply to #19

Re: Battery Consumption Calculation

03/19/2019 1:50 AM

It seems your voltage will run low during the winter temps...

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#21

Re: Battery Consumption Calculation

03/19/2019 3:30 AM

Yes I am hoping the voltage regulator will take care of that though :)

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#22

Re: Battery Consumption Calculation

03/19/2019 4:42 AM

Actually, that won’t work either. The voltage regulator becomes inefficient and wasteful when converting voltages up or down.

Those batteries have high internal resistance and hence are subject to varying voltage swings at different temperatures.

Guess the only option is lipo’s in parallel with some kind of protection circuitry.

Does anyone know of any manufacturers who make 19Ah+ single cell lipo batteries? Or anyone who manufactures battery holders with thermal protection against paralleling lipo batteries?

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#23

Re: Battery Consumption Calculation

03/22/2019 6:50 PM

If you are only looking at a life of 1-2 years, with self-discharge equal to load amp-hour or more, do not discount the common "duracell" primary battery [lower fire risk] or lithium primary cells [which can have very low self-discharge, even at 40-50 Celsius].

"Duracell/Alkaline" have a shelf life of 10 years [so self-discharge must be low], size/weight compared to rechargeable cells is favourable; replacements are easy for customer to obtain anywhere in world. When it comes to re-cycling/disposal they can be disposed of at a supermarket rather than specialist hazard handler.

After 2 years on self-discharge, few secondary cells will have a reliable capacity/life after recharge [ask manufacturer].

67model

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#24

Re: Battery Consumption Calculation

04/11/2019 5:05 PM
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#25

Re: Battery Consumption Calculation

04/11/2019 5:21 PM
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