求解非线性电阻电路的一种混合方法

A Combined Method for Solving Nonlinear Resistor Circuit

非线性电阻电路的求解一直都是一个不容易解决的问题。本文将求解非线性电阻电路转化为求解非线性代数方程的问题。在众多的算法之中,提出一种新的混合式算法,将PSO算法与牛顿法相结合,利用了PSO算法对初值无要求与牛顿法的收敛快和自校正的优点,在应用PSO算法进行优化设计的基础上,采用牛顿法进行二次优化,克服了牛顿法初始点较难选择的问题。函数测试的结果证明了该方法的可行性和有效性。

Solving Nonlinear Resistor Circuit is a difficult problem all the time and is transformed to a problem of Nonlinear Equation Group. A combined method is put forward, which combines the advantages of PSO and Newton method, which has no requirement for initial guess, high convergence rate and correct itself. PSO is used and then Newton method, Function test results show the feasibility and efficiency of this method.