Purpose

This paper aims to omit the difficulties of directly finding the periodic steady-state solutions for electromagnetic devices described by circuit models.

Design/methodology/approach

Determine the discrete integral operator of periodic functions and develop an iterative algorithm determining steady-state solutions by a multiplication of matrices only.

Findings

An alternative method to creating finite-difference relations directly determining steady-state solutions in the time domain.

Research limitations/implications

Reduction of software and hardware requirements for determining steady-states of electromagnetic.

Practical implications

A unified approach for directly finding steady-state solutions for ordinary nonlinear differential equations presented in the normal form.

Originality/value

Eliminate the necessity of solving high-order finite-difference equations for steady-state analysis of electromagnetic devices described by circuit models.

中文翻译：

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非线性电磁器件电路模型的直接稳态解

目的

本文旨在省略直接寻找电路模型描述的电磁设备的周期性稳态解的困难。

设计/方法/方法

确定周期函数的离散积分算子并开发迭代算法，仅通过矩阵相乘来确定稳态解。

发现

创建有限差分关系的另一种方法，直接确定时域中的稳态解。

研究限制/影响

减少确定电磁稳态的软件和硬件要求。

实际影响

一种直接寻找以正规形式表示的普通非线性微分方程稳态解的统一方法。

原创性/价值

无需为电路模型描述的电磁设备的稳态分析求解高阶有限差分方程。