用Kramers-Kronig(K-K)转换对下面两个根据线性近似及稳定性分析推导得到的法拉弟导纳表达式进行了验证。Y_F=1/R_t+B/(a+jω) (1)Y_F=1/R_t+(A+jωB)/(D-ω~2+jωT) (2)结果表明,稳定性分析所要求的条件,即方程(1)的a应有a>0,方程(2)中的参数应有T~2≥4D和D>0,也必须在K-K转换中得到满足。文中还简要讨论了这两个表达式在阻抗数据分析中的应用。
The following two Faradaic admittance equations (1) and (2), the derivation of which is based on the stability conditions of steady state are examined by Kramers-Kronig transforms. Y_F=1/R_t+B/(a+jω) (1) Y_F=1/R_t+(A+jBω)/(D-ω~2+jωT) (2) The conditions required by stability,a>0 for equation(1)and T~2≥4D,D>0 for equation (2), must also be satisfied in Kramers-Kronig transforms. The applications of the two equations in impedance data analysis are briefly discussed.
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