基于曲线求交算法的非线性电阻电路数值计算  

The Numerical Value Solution of Nonlinear Resistor Circuit Based on Algorithm of Intersection

作　　者：霍龙[1] 俞俊民[1] 于佳[1] 

机构地区：[1]沈阳工程学院电气工程系,辽宁沈阳110136

出　　处：《哈尔滨理工大学学报》2010年第6期17-20,共4页Journal of Harbin University of Science and Technology

摘　　要：针对非线性电阻电路,在电阻的伏安特性由测试数据点给出时,提出了一种求静态工作点数值解的算法.用三次样条重构非线性伏安特性,以直线与样条曲线求交算法为核心,通过逐次等距剖分搜索出工作点的精确值.给出了模拟算例和实测电路,用该算法得到的工作点与模拟结果和实测结果均一致,并能以很低的计算复杂度快速收敛于指定精确度的解.是一种高效、实用的求解方法.For voltage-current characteristics of nonlinear resistor given by data points,this paper puts forward a numerical value solution of static operation point.The algorithm reconstructs the nonlinear voltage-current characteristics by cubic spline.The core of the algorithm is intersection between lines and spline curves.It searches for exact value of operation points through successive isometric subdivision.Simulation example and experimental circuit are given in the paper.The operating point obtained by this algorithm was agrees well with the simulation and experimental results.The algorithm can converge fast to designated accuracy solution with low complexity.It is proved an efficiently practical algorithm.

关 键 词：非线性电阻 曲线求交 三次样条 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]