K
E
R esr
R p
C
T
dl
i cell
i p
i sc
V cell = E
(a)
K
R esr
I cell
i p
i sc
C
T
dl
V cell
I cell
(b)
71
Fundamentals of Electrochemical Double-Layer Supercapacitors
FIGURE 2.15
Equivalent charging circuits of supercapacitor at constant voltage (a) and at constant current
(b).
t
V ce ll = I cell R e sr + I cell
(Charging process)
(2.42)
C dl
Using Equation (2.42), the time (t c ) required to charge a supercapacitor to a
targeted voltage level of V T can be obtained when
T
⎛ V T − I cell R ⎞
V cell = V T : t c = C
esr
dl ⎜
⎟ .
⎝
I cell
⎠
E
R esr
R p
C
T
dl
i cell
i p
i sc
V cell = E
(a)
K
R esr
I cell
i p
i sc
C
T
dl
V cell
I cell
(b)
71
Fundamentals of Electrochemical Double-Layer Supercapacitors
FIGURE 2.15
Equivalent charging circuits of supercapacitor at constant voltage (a) and at constant current
(b).
t
V ce ll = I cell R e sr + I cell
(Charging process)
(2.42)
C dl
Using Equation (2.42), the time (t c ) required to charge a supercapacitor to a
targeted voltage level of V T can be obtained when
T
⎛ V T − I cell R ⎞
V cell = V T : t c = C
esr
dl ⎜
⎟ .
⎝
I cell
⎠