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125


A.2 Frequency domain calculations

The following calculations were used to estimate the frequency response of a cell after
fitting the step response. Calculations are performed in the Laplace domain.

Z(s) = (R1+sL)∖∖Rm∖∖^-

sC

_ / sLRm ÷ R1Rm x I ! 1

^ l ∕2m÷jR1+sL )⅝C

Γ Rm Rl "∙" sɑ(sLRm + R1 Rm ) ^1 — ɪ
sLRm + RiRm sLRm + R1Rm

P s2 LRmC ÷ sCR1Rm ÷ sL + R1 + Rm -,ɪ
sLRm + R1Rm
s2LRmC + s(CRιRm + L) + R1 + Rm

s L Rm + R1 Rm


Z(s)≈




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