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Table 2 Estimates of parameter vector θ=[α,C α ,r S ,r P ] for various voltage steps excitations, C n =100 F, U n =2.7 V and R=0.985 Ω)

From: Estimation of Supercapacitor Energy Storage Based on Fractional Differential Equations

U step

α

C α

r S

r P

[V]

F s α−1

m Ω

Ω

0.5

-0.9594

84.9

17.7

1.28e+16

1.0

-0.9561

84.9

37.4

1.19e+21

1.5

-0.9398

79.5

16.1

1.46e+16

2.0

-0.9006

68.4

12.9

6.20e+17

2.7

-0.8788

63.8

9.4

1.45e+14

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