ABSTRACT We propose a resource efficient precision transient circuit simulator approach without time step for solving the systems of differential equations. The method is notably suitable for optimization and worst-case dimensioning of small-scale electronic circuits. A closed-form analytic solution is computed for each of the electronic circuit states. Numerical integration is not required, and therefore, convergence problems are eliminated. An electronic circuit with only linear elements, for example, R, C, L and independent current, and voltage sources (LTI), is described with a system of differential (state) equations. Nonlinear elements, such as L(i), C(u), Diodes, MOSFETs, BJTs and/or PWM controllers are described with piecewise-linear models. Connecting linear and linearized nonlinear elements, results in a linear system of differential equations.

中文翻译：

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一种用于电子电路资源高效参数仿真的分析方法

摘要 我们提出了一种资源高效的精密瞬态电路模拟器方法，没有时间步长，用于求解微分方程组。该方法特别适用于小规模电子电路的优化和最坏情况下的尺寸设计。为每个电子电路状态计算一个封闭形式的解析解。不需要数值积分，因此消除了收敛问题。仅具有线性元件（例如，R、C、L 和独立的电流和电压源 (LTI)）的电子电路使用微分（状态）方程系统进行描述。非线性元件，例如 L(i)、C(u)、二极管、MOSFET、BJT 和/或 PWM 控制器，使用分段线性模型进行描述。连接线性和线性化非线性元素，