| Discharge
methods The purpose of a battery is to store energy and release
it at the appropriate time in a controlled manner. In this section we examine
the discharge under different C-rates and evaluate the depth to which a battery
can safely be discharged. We also observe how deep discharges affect battery life.
What
is C-rate? The charge and discharge current of a battery is
measured in C-rate. Most portable batteries are rated at 1C. This means that a
1000mAh battery would provide 1000mA for one hour if discharged at 1C rate. The
same battery discharged at 0.5C would provide 500mA for two hours. At 2C, the
1000mAh battery would deliver 2000mA for 30 minutes. 1C is often referred to as
a one-hour discharge; a 0.5C would be a two-hour, and a 0.1C a 10-hour discharge.
The capacity of a battery is commonly measured with a battery analyzer. If the
analyzer's capacity readout is displayed in percentage of the nominal rating,
100% is shown if a 1000mAh battery can provide this current for one hour. If the
battery only lasts for 30 minutes before cut-off, 50% is indicated. A new battery
sometimes provides more than 100% capacity. When discharging a battery
with a battery analyzer that allows the setting of different discharge C-rates,
a higher capacity reading is observed if the battery is discharged at a lower
C-rate and vice versa. By discharging the 1000mAh battery at 2C, or 2000mA, the
analyzer is scaled to derive the full capacity in 30 minutes. Theoretically, the
capacity reading should be the same as with a slower discharge, since the identical
amount of energy is dispensed, only over a shorter time. Due to internal energy
losses and a voltage drop that causes the battery to reach the low-end voltage
cut-off sooner, the capacity reading may be lowered to 95%. Discharging the same
battery at 0.5C, or 500mA over two hours may increase the capacity reading to
about 105%. The discrepancy in capacity readings with different C-rates is related
to the internal resistance of the battery. One battery that does not
perform well at a 1C discharge rate is the portable sealed lead-acid. To obtain
a reasonably good capacity reading, manufacturers commonly rate these batteries
at 0.05C or 20 hour discharge. Even at this slow discharge rate, a 100% capacity
is hard to attain. To compensate for different readings at various discharge currents,
manufacturers offer a capacity offset. Applying the offset to correct the capacity
readout does not improve battery performance; it merely adjusts the capacity calculation
if discharged at a higher or lower C-rate than specified. Lithium-ion/polymer
batteries are electronically protected against high load currents. Depending on
battery type, the discharge is limited to between 1C and 2C. This protection makes
the lithium ion unsuitable for biomedical equipment and power tools demanding
high inrush currents.
Depth of discharge The typical end-of-discharge voltage for
nickel-based batteries is 1V/cell. At that voltage level, roughly 99% of the energy
is spent and the voltage starts to drop rapidly if the discharge continued. Discharging
beyond the cut-off voltage must be avoided, especially under heavy load.
Since the cells in a battery pack cannot be perfectly matched, a negative voltage
potential, also known as cell reversal, will occur across a weaker cell if the
discharge is allowed to continue uncontrolled. The more cells that are connected
in series, the greater the likelihood of cell reversal occurring. Nickel-cadmium
can tolerate some cell reversal, which is typically about 0.2V. During that time,
the polarity of the positive electrode is reversed. Such a condition can only
be sustained for a brief moment because hydrogen evolution on the positive electrode
leads to pressure build-up and possible cell venting. If the cell is pushed further
into voltage reversal, the polarity of both electrodes is being reversed and the
cell produces an electrical short. Such a fault cannot be corrected.
Some battery analyzers apply a secondary discharge (recondition) that discharges
the battery voltage to a very low voltage cut-off point. These instruments control
the discharge current to assure that the maximum allowable current, while in sub-discharge
range, does not exceed a safe limit. Should cell reversal develop, the current
would be low enough not to cause damage. Cell breakdown through recondition is
possible on a weak or aged pack. If the battery is discharged at a rate
higher than 1C, the end-of-discharge point of a nickel-based battery is typically
lowered to 0.9V/cell. This compensates for the voltage drop induced by the internal
resistance of the cells, wiring, protection devices and contacts. A lower cut-off
point also produces better capacity readings when discharging a battery at cold
temperatures. Among battery chemistries, nickel-cadmium is least affected
by repeated full discharge cycles. Several thousand charge/discharge cycles are
possible. This is why nickel-cadmium performs well on power tools and two-way
radios that are in constant use. nickel-metal-hydride is less durable in respect
to repeated deep cycling. Lithium-ion typically discharges to 3.0V/cell.
The spinel and coke versions can be discharged to 2.5V/cell to gain a few extra
percentage points. Since the equipment manufacturers do not specify the battery
type, most equipment is designed for a 3-volt cut-off. A discharge below
2.5V/cell may put the battery's protection circuit to sleep, preventing a recharge
with a regular charger. These batteries can be resorted with the Boost program
available on the Cadex C7000 Series battery analyzers. Some lithium-ion
batteries feature an ultra-low voltage cut-off that permanently disconnects the
pack if a cell dips below 1.5V. A very deep discharge may cause the formation
of copper shunt, which can lead to a partial or total electrical short. The same
occurs if the cell is driven into negative polarity and is kept in that state
for a while. Manufacturers rate the lithium-ion battery at an 80% depth
of discharge. Repeated full (100%) discharges would lower the specified cycle
count. It is therefore recommended to charge lithium-ion more often rather than
letting it down too low. Periodic full discharges are not needed because lithium-ion
is not affected by memory. The recommended end-of-discharge voltage
for lead-acid is 1.75V/cell. The discharge does not follow the preferred flat
curve of nickel and lithium-based chemistries. Instead, Lead-acid has a gradual
voltage drop with a rapid drop towards the end of discharge. The cycle
life of sealed lead-acid is directly related to the depth of discharge. The typical
number of discharge/charge cycles at 25°C (77°F) with respect to the depth
of discharge is: -
150 - 200 cycles with 100% depth of discharge (full discharge)
-
400 - 500 cycles with 50% depth of discharge (partial discharge)
-
1000 and more cycles with 30% depth of discharge (shallow discharge)
The
lead-acid battery should not be discharged beyond 1.75V per cell, nor should it
be stored in a discharged state. The cells of a discharged lead-acid sulfate,
a condition that renders the battery useless if left in that state for a few days.
Always keep the open terminal voltage at 2.10V and higher.
What constitutes
a discharge cycle?
There are no standard definitions that constitute
a discharge cycle. Smart batteries that keep tack of discharge cycles commonly
use a depth-of-discharge of 70% to define a discharge cycle. Anything less than
70% does not count. The reason of the cycle count is to estimate the end-of-battery
life.
A battery often receives many short discharges with subsequent recharges.
With the smart battery, these cycles do not count because they stress the battery
very little. On satellites, the depth-of-discharge is only about 10%. Such minute
discharge cycles put the least amount of stress on the batteries in space. With
shallow discharges, however, nickel-based batteries require a periodic deep discharge
to eliminate memory.
Lithium and lead-based batteries do not require a
periodic full discharge. In fact, it is better not to discharge them too deeply
but charge them more often. Using a larger battery is one way to reduce the stress
on a battery.
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Created: April 2003, Last edited: January 2004
About
the Author Isidor Buchmann is the founder and CEO of Cadex Electronics
Inc., in Vancouver BC. Mr. Buchmann has a background in radio communications
and has studied the behavior of rechargeable batteries in practical, everyday
applications for two decades. Award winning author of many articles and books
on batteries, Mr. Buchmann has delivered technical papers around the world.
Cadex Electronics is a manufacturer of advanced battery chargers, battery analyzers
and PC software. For product information please visit www.cadex.com.
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