Skip to main content

Advertisement

Table 3 Estimates of parameter vector θ=[α,C α ,r S ,r P ] for sinusoidal excitation with various frequencies and amplitudes, C n =100 F, U n =2.7 V and R=0.985 Ω, U offset =2.0 V)

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

   Frequency
    0.01 rad/s 0.03 rad/s 0.05 rad/s
Amplitude 0.10 V α/− -0.9634 -0.8870 -0.9616
   C α /Fsα−1 81.7 64.9 82.7
   r S /mΩ 34.3 2.2 18.6
   r P /Ω 4.6e+18 4.4e+21 6.6e+17
  0.25 V α/− -0.9501 -0.9287 -0.9524
   C α /Fsα−1 76.8 74.1 78.6
   r S /mΩ 110 22.6 27.8
   r P /Ω 7.4e+14 1.9e+19 3.7e+19
  0.50 V α/− -0.9476 -0.9433 -0.9568
   C α /Fsα−1 75.8 75.2 78.3
   r S /mΩ 46.8 17.5 26.3
   r P /Ω 4.1e+18 1.1e+20 1.1e+19
  0.70 V α/− -0.8938 -0.8972 -0.9566
   C α /Fsα−1 63.12 64.17 78.7
   r S /mΩ 23.8 3.3 23.1
   r P /Ω 1.7e+18 1.4e+22 2.1e+24