非线性元件电子电路的数值计算

X. Sapaev, E. Abduraimov, Sh B Umarov
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引用次数: 1

摘要

非线性元件广泛应用于各种自动化装置、转换和测量设备中。它们通常以二极管电阻电路的形式出现。在单回路电路中,它们的数值计算简化为编制非线性方程,用牛顿-拉夫逊方法求解,并指定合理的计算初始条件。本文旨在确定非线性链数值计算中雅可比矩阵的维数。通过两种最简单的非线性单元格式的数值计算实例表明,通过从不包含非线性单元的方程组中消除坐标链(系统方程),可以减小雅可比矩阵的尺寸
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NUMERICAL CALCULATION OF ELECTRONIC CIRCUITS WITH NONLINEAR ELEMENTS
Non-linear elements are widely used in various automation devices, converting and measuring equipment. They are often presented in the form of diode-resistive circuits. In single-circuit electrical circuits, their calculation by a numerical method reduces to compiling nonlinear equations and solving it using the Newton-Raphson method with specifying reasonable initial conditions for the calculation. The article is aimed at determining the dimensions of the Jacobi matrix in numerical calculations of nonlinear chains. Using the example of numerical calculation of two simplest schemes with nonlinear elements, it is shown that by eliminating the coordinate chain (system equations) from the system of equations that do not contain nonlinear elements, the Jacobi matrix is reduced in size
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