Abb Technology Ag

Abb Research Ltd.

Abb Schweiz Ag

Martin Tiberg

Christoph Heitz

Bjorn Gustavsen

Kaveh Niayesh

Andreas Dahlquist

Matthias Berth

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

A method and device for determining the linear response of an electrical multi-port component has an 'estimation procedure' in which an estimated admittance matrix is determined by applying voltages to the ports of the component and measuring the response of the component. The estimation procedure can e.g. consist of a conventional measurement of the admittance matrix. The method further has a 'measurement procedure' in which several voltage patterns are applied to the port. The voltage patterns correspond to the eigenvectors of the estimated admittance matrix. For each applied voltage pattern, the response of the component is measured. This allows to measure the linear response of the component accurately even if the eigenvalues of the admittance matrix differ by several orders of magnitude.

Method and device for characterizing 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.

Passivity enforcement by modal perturbation

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Genève, Switzerland

Martin Tiberg