
PORTABLE SEALED NICKEL-CADMIUM BATTERIES 28.11
28.4.4 Internal Impedance
The internal impedance of a battery is dependent on several factors, including ohmic resis-
tance (due to conductivity, the structure of the current collector, the electrode plates, sepa-
rator, electrolyte, or other features of the battery design), resistance due to activation and
concentration polarization, and capacitive reactance. In most cases the effects of capacitive
reactance can be ignored. Polarization effects are dependent in a complicated way on current,
temperature, and time; they decrease with increasing temperature (see Chap. 2). The effect
may be negligible for pulses of short duration, that is, less than a few milliseconds.
The nickel-cadmium battery is noted for its low internal resistance due to the use of thin
and large-surface-area plates with good electrical conductivity, a thin separator with good
electrolyte retention, and an electrolyte having a high ionic conductivity. During discharge,
the activation and concentration polarization effects are negligible, at least at low and mod-
erate rates, and the internal resistance of the battery, and the discharge voltage, remains
relatively constant from the state of full charge to the point where almost 90% of the capacity
has been discharged. At that point the resistance increases due to the conversion of active
materials in the electrode plates, which tends to lower electrical conductivity. Figure 28.13
shows the change in internal resistance with the depth of discharge for two batteries of
different size and capacity. Figure 28.14 illustrates the effect of temperature. The internal
resistance increases as the temperature drops because the conductivity of the electrolyte and
other components is lower at the lower temperatures.
With use over time, a nickel-cadmium battery gradually loses capacity, resulting in a
gradual increase in internal resistance. This is caused by gradual deterioration of the separator
and electrodes and by loss of liquid through the seals, which changes the electrolyte con-
centration and level. The net effect is an increase in internal impedance.
FIGURE 28.13 Resistance vs. state of charge at
20⬚C, discharged at 0.2C rate, for sealed nickel-
cadmium batteries. a—AA-size battery, b—sub-C-
size battery. (Typical for sintered-plate electrode type
batteries.)
FIGURE 28.14 Resistance vs. temperature for fully
charged sealed nickel-cadmium batteries. a—AA-size
battery, b—sub-C-size battery. (Typical for sintered-
plate electrode type batteries.)