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迟滞瞬时单位线的数学表达式形同于皮尔逊Ⅲ型分布,基于数学相似性原理建立了两者参数之间的关系。以信息熵理论为基础,构造了参数估计方程,然后将对数均值用泰勒级数展开,忽略高阶项,提出了迟滞瞬时单位线参数估计的一种方法--熵法。从检验的算例估计实值的精度来看,熵法其结果令人满意,精度比常用的矩法估计值有明显提高,从而表明提出的方法具有良好的参数估计效果。
The mathematical expression of hysteresis instantaneous unit line is the same as Pearson Ⅲ distribution, and the relationship between the two parameters is established based on the principle of mathematical similarity. Based on the theory of information entropy, a parametric estimation equation is constructed, and then the logarithmic mean is expanded by Taylor series. Ignoring the high-order terms, a method of estimating the unit-line parameters of hysteresis instantaneous-entropy method is proposed. From the accuracy of the test example to estimate the real value, the result of entropy method is satisfactory, the accuracy is significantly higher than the commonly used method of moment estimation, which shows that the proposed method has a good parameter estimation effect.