Supercapacitors Equivalent Circuit
Supercapacitors are composed of minute individual particles of activated carbon, and each of these has its own
capacitance and resistance. Fig.1 shows an equivalent circuit for a capacitor. The capacitance of the capacitor is
the total capacitance of C1 and C2.
[Fig.1] Capacitor equivalent circuit
- C1, C2
- : Capacitance of activated carbon electrodes
- R1, R2
- : Insulation resistance
- R3, R5
- : Electrode resistance
- R4
- : Separator and electrolyte resistance
Total capacitance
[Fig.2] Capacitor equivalent circuit
As shown in Fig.2, each individual minute particle of activated carbon acts as a capacitor with its own capacitance and
resistance. Therefore, when the capacitor is charged, the particles (tiny capacitors) with less resistance charge first,
followed by those with greater resistance. Moreover, if charging is stopped soon after reaching the charge voltage, the
terminal voltage will drop as the particles with greater resistance are charged from those with less resistance
(self-charging). Consequently, supercapacitors require "relaxation charging" (holding a constant voltage)
after the charge voltage is reached in order to charge fully.
- Tags
- formula
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