The following two quotes are from the FMA LIPO Handbook, Volume two, page 8.
…the determinant of (LIPO) cell life and performance is the temperature the battery cells reach during discharge.
A (LIPO) cell run continuously at the maximum C rating will lose capacity to 80% in as little as 25 charge cycles. The same cell with maximum current bursts less than 10 seconds and average current of half the maximum allowable discharge rate can last 500 cycles.
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Battery life (number of cycles until capacity degrades to 80% of rated capacity) is important to electric aircraft pilots:
A $35 battery that only lasts 25 cycles results in a cost of $1.40 for each flight, while the same battery at reduced temperature during flight could result in a cost of only seven cents per flight.
Every battery will have a ‘final flight’. It’s better to have fewer of these.
Although it’s important to provide maximum battery cooling during flight, it’s more important to reduce the heat being generated during flight.
Factors contributing to temperature increase during discharge are many, but include:
Ambient temperature
Air flow rate over the battery.
Battery shape.
Power being delivered by the battery.
Physical and chemical design of the battery.
Some of these factors relate to removing heat from the cell, others relate to the generation of the heat energy within each cell.
Let’s use a simplified circuit model and describe each cell as consisting of a ‘perfect LIPO battery’ in series with a lumped resistance represented by a single resistor we will call ‘Internal Resistance’. (At the low discharge frequencies involved let’s consider reactive components to produce lower order effects.)
So every electron delivered by the ‘perfect battery’ must flow thru the series ‘Internal Resistance’ resistor and as this current flows, energy is dissipated in the form of heat. If we know the value of the internal resistance we can make an estimate of how much power is ‘lost’ in the form of heat during the discharge of each battery cell. It turns out that the value of ’Internal Resistance’ is easily determined. Application of ohms law under two discharge conditions is all that’s required.
There are a couple of ways to measure d.c. internal resistance: (both are applications of ohms law)
1. Measure the voltage of a battery with no load, then connect a resistor of known value and measure the current flow thru the load resistor.
InternalResistance = (noloadbatteryvoltage / currentinampswithresistorattached) minus the value of the load resistor in ohms.
Here’s a video of measuring Internal Resistance using this method.
I.R. Measurement
2. Measure the battery voltage and battery current under two different load conditions.
InternalResistance = (Voltage1 minus Voltage2) / (currentinamps1 minus currentinamps2)
Even simpler, a couple of readily available commercial battery chargers measure and display Internal Resistance.
If we use a 3 cell LIPO battery with an internal resistance of 8 milliohms per cell, the overall internal resistance is 24 milli ohms (.024 ohms). Let’s say the current supplied by the perfect battery is 40 amps. Power lost to generating heat is I^2*R and equals 38.4 watts. That’s a lot of heat generated inside the battery. (Some soldering irons use only 15-20 watts of power). That 38.4 watts will never get to your motor.
That ‘perfect LIPO battery’ inside each cell maintains the same output voltage over the life of the battery, but we know that Internal Resistance increases during the battery’s lifetime. As the battery grows older, more and more power is lost inside the battery due to the increasing value of the internal resistor until only 80% of the capacity of the battery can be delivered to it’s terminals, the rest is lost as heat. Monitoring cell internal resistance levels over the life of a battery can be a useful tool as an indicator of electrical age, which may also differ from cell to cell.
We also know that as batteries are made smaller and lighter, the internal resistance tends to go up due to fewer and smaller parallel circuit paths.
When we buy a battery we look at size, weight, number of cells, capacity and something called C rating. C rating is the manufacturer’s estimate of maximum amperage before the battery reaches some temperature that results in loss of lifetime recharge cycles at some unknown rate. That’s close to meaningless and in almost all cases it is not verifiable. We are expected to accept the word of the battery sellers and in most cases it’s not clear what they are claiming. Even if all the C parameters were defined, you would come close to destroying the battery trying to verify the sellers claims.
Internal Resistance measurement is not destructive and the resulting value relates directly and easily to the power lost as heat within each battery cell. Being an easily verifiable battery parameter the use of Internal Resistance as a quality and aging indicator could put in perspective the many exorbitant and close to meaningless “C” ratings advertised today.
Internal Resistance is easily measured and easily used to determine heat in watts generated within the battery during discharge at any current level.
Internal Resistance can be reduced by making the battery heavier and larger, but small size and light weight are two attributes that are highly valued in any battery used to power a model aircraft. Internal resistance can also be reduced during the chemical and physical design phase of LIPO battery development and if the manufacturing process consistantly reproduces the design, a battery that loses less power to that always present Internal Resistor can be produced.
When buying a LIPO battery , some Quality Factors to consider that don’t make a lot of sense include:
1. Manufacturer’s/Packager’s poorly defined C rating claims.
2. Claims of lifetime in terms of number of cycles, without extraordinary data to support them.
3. Price
4. Generally, any recommendation that’s not verifiable.
Consider instead: size, weight, capacity, verifiable data, internal resistance and expected cost per flight.
“…the determinant of (LIPO) cell life and performance is the temperature the battery cells reach during discharge.”