State-space models of multiconductor transmission lines can be generated by means of the Green's function based method which allows to write the open-end impedance in a rational form as an infinite sum of 'modal impedances'. It can be then embedded in a circuit simulation environment for efficient time domain analysis. The previous rational approach has been improved through a proper mathematical formulation, that makes use of explicit delay extraction and pole/residue asymptotic behavior. Nevertheless, the computation of the poles becomes computationally expensive when the number of conductors increases, since the zeros of high order polynomials have to be evaluated. A rational fitting over the 'modal impedances' is proposed, which allows a fast identification of the poles that, together with the delays, model the high frequency behavior of the cable in terms of standard hyperbolic functions. The low-frequency behavior is captured by a reduced size state-space model, via rational fitting. Numerical results confirm the accuracy of the proposed modeling approach for electrically long cables, with a large number of conductors.

Enhanced delay-rational Green's method for cable time domain analysis

Antonini G.;Romano D.
2015

Abstract

State-space models of multiconductor transmission lines can be generated by means of the Green's function based method which allows to write the open-end impedance in a rational form as an infinite sum of 'modal impedances'. It can be then embedded in a circuit simulation environment for efficient time domain analysis. The previous rational approach has been improved through a proper mathematical formulation, that makes use of explicit delay extraction and pole/residue asymptotic behavior. Nevertheless, the computation of the poles becomes computationally expensive when the number of conductors increases, since the zeros of high order polynomials have to be evaluated. A rational fitting over the 'modal impedances' is proposed, which allows a fast identification of the poles that, together with the delays, model the high frequency behavior of the cable in terms of standard hyperbolic functions. The low-frequency behavior is captured by a reduced size state-space model, via rational fitting. Numerical results confirm the accuracy of the proposed modeling approach for electrically long cables, with a large number of conductors.
978-1-4799-7806-9
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/175684
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