Abstract

In this paper it is proposed a new method of symbolic system of linear algebraic equations (SSLAE) generation describing a parametric circuit in frequency domain. The coefficients of the Fourier polynomials are used as unknown variables approximating the transfer functions of circuits in the symbolic form. Such transfer functions are the good basis for solution of the problems of multivariant analysis and optimization of radioelectronic devices which are modeled by circuits with time variable parameters. Increase of parametric circuit complication results in increase of generated SSLAE complication. It requires additional computation time not only for its solution but also for its generation. Proposed method decreases essentially the time for SSLAE generation time. The method of parametric models lies in representation of the circuits elements in form of some matrices of their parameters. For the circuit description we select the method of nodal voltages, hence, such matrices are conductivity matrices of the circuit elements which in case of usual rules for the circuit elements with constant parameters shape the conductivity matrix of SSLAE for parametric circuits in whole. There are represented the simulation results.

中文翻译：

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参数电路及其频域元素的参数矩阵模型

摘要

在本文中，提出了一种新的线性代数方程符号系统 (SSLAE) 生成方法，用于描述频域中的参数电路。傅立叶多项式的系数用作以符号形式近似电路传递函数的未知变量。这种传递函数是解决由具有时变参数的电路建模的无线电电子设备的多变量分析和优化问题的良好基础。参数电路并发症的增加导致产生的SSLAE并发症的增加。它不仅需要额外的计算时间来求解，而且还需要额外的计算时间。建议的方法实质上减少了 SSLAE 生成时间。参数模型的方法在于以电路元件的一些参数矩阵的形式表示电路元件。对于电路描述，我们选择节点电压的方法，因此，这样的矩阵是电路元件的电导矩阵，在具有恒定参数的电路元件的通常规则的情况下，整个参数电路的 SSLAE 的电导矩阵成形。有表示模拟结果。