迭代法解析核信号成形电路数字解  

Iteration method for digital solution of nuclear signal forming circuit

作　　者：李乐赛 周建斌[1] 洪旭[1] 马英杰[1] 刘易 LI Lesai;ZHOU Jianbin;HONG Xu;MA Yingjie;LIU Yi(College of Nuclear Technology and Automation Engineering,Chengdu University of Technology,Chengdu 610059,China)

机构地区：[1]成都理工大学核技术与自动化工程学院,成都610059

出　　处：《核技术》2021年第8期53-58,共6页Nuclear Techniques

基　　金：国家自然科学基金(No.11975060)资助。

摘　　要：针对从时域推导电路模型、递推法只有在取恰当输出电压初值时才得到正确输出波形的问题,提出迭代的方法。根据基尔霍夫电流定律和节点电压法建立电路电流等式,通过等效替代将抗性器件转换为非抗性器件,利用迭代法得出其迭代解。对常用核电子学电路C-R微分电路、R-C积分电路数值递归解和迭代解间的误差进行分析,并对递归法初值问题进行了讨论,验证迭代法能够解决初值问题。在此基础上,建立S-K低通滤波电路等效模型,比较不同迭代精度下的迭代解。结果表明:迭代精度影响迭代解和迭代次数。迭代法与解析解的误差小,设定数据采样率越高得到的误差越小;迭代解与递推解几乎一致,精度可调,并且解决递推法存在的初值问题。[Background]Analyzing the nuclear electrical circuit in time domain can help to obtian the voltage value at any moment based on the appropriate initial voltage by using recursive method.[Purpose]This study aims to obtain the correct output waveform of nuclear signal forming circuit by using iteration method instead of recursive method.[Methods]First of all,the circuit current equation and the S-K low-pass filter circuit equivalent model were established according to Kirchhoff's current law(KCL)and node voltage method.Then the resistant devices were converted to non-resistant devices by equivalent substitution,and the digital solution was obtained by the iterative method.Finally,ihe initial value problem of recursive method was discussed,and the errors between recursive solution and iterative solution of C-R differential circuit and R-C integral circuit in nuclear signal forming circuit were analyzed.[Results]Comparison results verify that the iterative method can solve the initial value problems of nuclear signal forming circuit.Iterative solution and the number of iterations are affected by iteration accuracy.[Conclusions]The error between the iterative method and the analytic solution is small.The higher the set data sampling rate is,the smaller the error is.The accuracy of iterative solution is adjustable,and almost the same effect as the recursive solution.is achieved.

关 键 词：核信号 迭代法 R-C积分电路 C-R微分电路 S-K低通滤波电路 

分 类 号：TL822[核科学技术—核技术及应用]