Nport problem self-adaptive fitting and simulation method based on vector fitting method

Abstract

The invention provides an nport problem self-adaptive fitting and simulation method based on a vector fitting method. The nport problem self-adaptive fitting and simulation method includes the following steps that 1, the vector fitting method is used for self-adaptive fitting of an S parameter, and the optimal fitting result SIJ (s) of the fitting order K and the delay time d is obtained, wherein1< / =i and j< / =n; 2, through Laplace inverse transformation, a transfer function Sij (s) in a frequency domain is converted into an excitation function Sij (t) in a time domain; 3, the convolution of the S parameter is calculated through a recursion method, and thus an algebraic equation of an nport model is obtained. According to the nport problem self-adaptive fitting and simulation method basedon the vector fitting method, the vector fitting method is used for self-adaptive fitting of the S parameter and the recursive convolution is used for quickly calculating the convolution of the S parameter, higher fitting accuracy and better fitting effect are achieved, and an approximate computational format simple in form and very high in accuracy is given through the Taylor.

Description

technical field [0001] The invention relates to the technical field of circuit simulation, in particular to an adaptive fitting and simulation method for nport problems based on a vector matching method. Background technique [0002] Vector fitting method (vector fitting) is a stable and effective fitting method proposed by B.Gustavsen in the document "Rational approximation of frequency domain responses by vector fitting" (published in "IEEE Transactions on Power Delivery" Volume 14 Issue 3) . The vector matching method is especially suitable for the modeling of S parameters (Y parameters or Z parameters) in circuit simulation. Compared with other fitting methods, it has the following advantages: [0003] (1) In principle, the vector matching method is given the initial pole, and the corrected pole is obtained by solving two linear least squares equations. Usually, only a limited number of iterations can be used to obtain the pole that meets the requirements, and the conve...

AI Technical Summary

Problems solved by technology

When using this method to do convolution, in order to obtain the convolution at the current moment, it must be integrated from zero time to the current time, resulting in the longer the simulation time, the greater the cost of calculating the convolution at the current time, and the calculation time is usually unbearable

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