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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)∖∖R_m∖∖^-

_ / sLR_m ÷ R₁R_m x I ! 1

^ ^l ∕2_m÷_jR₁+sL )⅝C

Γ Rm Rl "∙" sɑ(sLR_m + R₁ R_m ) ^1 — ɪ
sLR_m + RiRm sLR_m + R₁R_m

P s² LR_mC ÷ sCR₁R_m ÷ sL + R₁ + R_m -,ɪ
sLR_m + R₁R_m
s²LR_mC + s(CRιR_m + L) + R₁ + R_m

s L R_m + R₁ R_m

Z(s)≈

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