This article presents a new approach to construct parameterized reduced-order models for nonlinear circuits. The reduced model is obtained such that it matches the variations in the DC operating point of the original full circuit in response to variations in several of its key design parameters. The new approach leverages, through the use of circuit moments with respect to the design parameters, the discrete empirical interpolation approach developed in a model reduction in other domains and enables its efficient application to the problem of DC operating point in nonlinear circuits. Utilizing the idea of rooted trees, the proposed approach constructs orthogonal bases that are used in projecting the full equations of the large original nonlinear circuit onto a reduced system of nonlinear equations in a space with a much smaller dimension. The variations in the DC operating point of the full circuit are then obtained by solving the reduced system of equations, yielding significant computational savings. Numerical examples are presented to demonstrate the efficiency and accuracy of the reduced model in predicting the change in the DC operating point of the original circuit.

中文翻译：

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基于矩量的插值投影（MIP）算法的DC中心参数化降阶模型

本文提出了一种构造非线性电路参数化降阶模型的新方法。获得简化模型，以使其响应原始关键电路的几个关键设计参数的变化而与原始全电路的DC工作点的变化相匹配。通过在设计参数方面使用电路力矩，新方法利用了在其他领域模型简化中开发的离散经验插值方法，并使其能够有效地应用于非线性电路中的直流工作点问题。利用生根树的思想，所提出的方法构造了正交基，该正交基用于将大型原始非线性电路的完整方程投影到尺寸较小的空间中的简化非线性方程组中。然后，通过求解简化的方程组来获得整个电路的直流工作点的变化，从而节省大量计算量。数值示例表明了简化模型在预测原始电路的直流工作点变化中的效率和准确性。