用随机单纯形法分析交流阻抗教据

本文提出了一种可以应用于由交流阻抗数据计算等效电路元件数值的数据拟合方法-随机单纯形法。这一方法能一次同时求解多个电路元件,对复杂的等效电路尤为有效,因此十分适合于有弥散效应时的数据处理。利用按随机单纯形法编制的软件,给出了计算实例,还分析了阻抗测量误差对拟合计算结果的影响。

ANALYSIS OF IMPEDANCE DATA BY MEANS OF RANDOM SIMPLEX METHOD

A random simplex method, which could be used to evaluate the value of components in equivalent circuit from impedance data, is proposed.It is a combination of Monte Carlo method and simplex method.The flowchart for fitting operation is given.The first estimates are arbitrarily assigned to each component, and their final solutions could be obtained through consecutive optimization and approximations.As a result, it is possible to find out simultaneously a number of unknown parameters, especially in case of complicated equivalent circuit, and so it is suitable for processing impedance data when dispersion phenomenon appears.The effect of errors in impedance value on fitting results is examined by using computergenerated impedance data contaminated deliberately by random error.Starting from experimentally measured impedance spectra, the processing is demonstrated for practical systems.The significance of objective function, which is the criterion of fitting, is discussed.