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Abb Schweiz Ag

Bjorn Gustavsen

Christoph Heitz

Martin Tiberg

Olaf Hoenecker

A method and device characterize linear properties of an electrical component having n&#x3e;1 ports. The linear properties of the component are described in a matrix relating a voltage applied to the ports to a current through the ports. A frequency dependence of the matrix is approximated to preserve eigenvalues of the matrix by a pole-residual model. The method includes: (a) obtaining a set of values of the matrix at discrete frequencies, and obtaining eigenvalues and eigenvectors for each value; (b) fitting a set of vector equations to the eigenvalues and eigenvectors with a first set of pole frequencies; and (c) calculating a second set of pole frequencies by a vector fitting process for all modes of an element of the matrix. Steps (b) and (c) are repeated using the second set of pole frequencies in step (c) in a subsequent step (b) until a stop condition is met.

Iterative method for characterizing the frequency dependence of the linear properties of an electrical component

Residue perturbation is used for enforcing passivity of a linear response model of an electrical component having n&#x3e;1 ports. According to an exemplary embodiment, a modal perturbation approach can be used, which allows weighted perturbation of the individual modes by the inverse of the corresponding eigenvalues. This provides superior results if the admittance or impedance matrix of the device has a large eigenvalue spread.

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Trondheim, Norway

Bjorn Gustavsen