中文摘要：

针对静电放电（ESD）电磁脉冲测试及其辐射场计算这一难点问题,提出了一种基于BP（back propaga-tion）神经网络的任意曲线拟合方法,并给出了任意曲线的数学解析表达式通式。根据IEC 61000-4-2标准的相关规定,采用本方法得出了理想接触式ESD电流波形的解析表达式,神经网络隐含层神经元个数选取为9时,拟合曲线均方误差（MSE）为4.491 7×10-4。提取本方法得到的理想接触式ESD电流曲线的波形参数（上升时间为0.81ns,峰值电流为14.938 5A,30ns时电流值为8.038 9A,60ns时电流值为4.037 7A）,证明了该解析式满足IEC61000-4-2的相关规定。通过对6kV放电电压的工程实测ESD电流波形曲线拟合,得到工程实测ESD电流波形的解析表达式,隐含层神经元个数选取为20时,拟合曲线均方误差为0.093 5。本方法为工程实测ESD辐射场的相关计算提供了更准确的解析表达式。

英文摘要：

In order to improve electrostatic discharge（ESD）electromagnetic pulse tests and their calculations of electrostatic radiation field,an arbitrary curve fitting method based on back propagation（BP）neural network is presented,and a general analytical expression for any curve is given.According to IEC 61000-4-2,the analytical expression of ideal ESD current waveform in contact mode is obtained by using this method.When the number of neurons in hidden layer is 9,the waveform obtained by the expression has a mean-square error（MSE）of 4.491 7× 10-4.Parameters of ESD current waveform for the analytical expression are calculated.The first peak current of discharge is 14.938 5A,the rise time is 0.81ns,the current at 30ns is 8.038 9Aand the current at 60ns is 4.037 7Awhich prove the expression meets the requirements of IEC 61000-4-2.Furthermore,an analytical expression of the actual ESD current waveform is given based on curve fitting at 6kV discharge voltage.When the number of neurons in hidden layer is 20,the obtained waveform has a MSE of 0.093 5.Therefore,the presented method offers analytical expressions for calculations of electrostatic radiation field.