多个非线性电阻的电路数值解法  

Analysis of Circuit Numerical Solution of Multiple Nonlinear Resistors

作　　者：付裕[1] FU Yu(Shaanxi Institute of Technology,Shaanxi 710300,China)

机构地区：[1]陕西国防工业职业技术学院,陕西710300

出　　处：《电子技术（上海）》2022年第10期178-179,共2页Electronic Technology

基　　金：陕西国防工业职业技术学院2022年度科研计划项目(Gfy22-18)。

摘　　要：阐述基尔霍夫定律对含有多个非线性电阻电路列写的方程,通常是非线性代数方程组,除特殊的方程组外,一般不能直接求得。探讨用数值计算中的牛顿迭代法求解含有多个非线性电阻电路。将求解含有多个非线性电阻电路物理量问题转化为通过牛顿迭代法求非线性方程组解的问题。分析表明,应用该方法求解含有多个非线性电阻电路时,不受方程组的限制,具有普遍性。This paper expounds that the equations written by Kirchhoff’s law for circuits with multiple nonlinear resistors are usually nonlinear algebraic equations,which can not be directly solved except for special equations.It discusses the Newton iteration method in numerical calculation to solve the circuit with multiple nonlinear resistors.The problem of solving physical quantities of circuits with multiple nonlinear resistors is transformed into the problem of solving nonlinear equations by Newton iteration method.The analysis shows that this method is not limited by the equations when it is used to solve the circuit with multiple nonlinear resistors.

关 键 词：电路分析 基尔霍夫定律 非线性 牛顿迭代法 

分 类 号：TN0-4[电子电信—物理电子学]