Journal ArticleDOI
Rational approximation of frequency domain responses by vector fitting
Bjorn Gustavsen,Adam Semlyen +1 more
TLDR
The paper describes a general methodology for the fitting of measured or calculated frequency domain responses with rational function approximations by replacing a set of starting poles with an improved set of poles via a scaling procedure.Abstract:
The paper describes a general methodology for the fitting of measured or calculated frequency domain responses with rational function approximations. This is achieved by replacing a set of starting poles with an improved set of poles via a scaling procedure. A previous paper (Gustavsen et al., 1997) described the application of the method to smooth functions using real starting poles. This paper extends the method to functions with a high number of resonance peaks by allowing complex starting poles. Fundamental properties of the method are discussed and details of its practical implementation are described. The method is demonstrated to be very suitable for fitting network equivalents and transformer responses. The computer code is in the public domain, available from the first author.read more
Citations
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Journal ArticleDOI
Improving the pole relocating properties of vector fitting
TL;DR: In this article, a modification of the vector fitting (VF) procedure for rational function approximation of frequency-domain responses is described. But the modification is limited to the case of single-input single-out (SISO) transmission lines.
Journal ArticleDOI
Macromodeling of Multiport Systems Using a Fast Implementation of the Vector Fitting Method
TL;DR: A robust approach is presented which removes the sparsity of the block-structured least-squares equations by a direct application of the QR decomposition and considerable savings in terms of computation time and memory requirements are obtained.
Journal ArticleDOI
Enforcing Passivity for Admittance Matrices Approximated by Rational Functions
Bjorn Gustavsen,Adam Semlyen +1 more
TL;DR: In this paper, a linear power system component can be included in a transient simulation as a terminal equivalent by approximating its admittance matrix Y by rational functions in the frequency domain.
Journal ArticleDOI
Passivity enforcement via perturbation of Hamiltonian matrices
TL;DR: This paper presents a new technique for the passivity enforcement of linear time-invariant multiport systems in state-space form based on a study of the spectral properties of related Hamiltonian matrices, aimed at the displacement of the imaginary eigenvalues of the Hamiltonian matrix.
Book
Silicon Photonics Design: From Devices to Systems
TL;DR: In this article, the authors present the state-of-the-art in the field of fabless silicon photonic systems, including the following: 1.1 Optical Waveguide Mode Solver 2.2 Wave Propagation 2.3 Optoelectronic models 2.4 Microwave Modelling 2.5 Thermal Modeling 2.6 Photonic Circuit Modelling 3.7 Physical Layout 2.8 Software Tools Integration 3.4 Code Listings 4.5 Problems 4.7 Problems 5.4 Polarization 5.5 Problem 5.6 Code List
References
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Journal ArticleDOI
Accuarte Modelling of Frequency-Dependent Transmission Lines in Electromagnetic Transient Simulations
TL;DR: The methods presented in this paper are aimed to overcome numerical difficulties of closed mathematical solutions of the frequency-dependent line equations in the time domain.
Journal ArticleDOI
Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions
Adam Semlyen,A. Dabuleanu +1 more
TL;DR: The paper presents a new approach to the calculation of transients on transmission lines with frequency-dependent parameters to obtain significant computer-time savings by avoiding convolutions by approximating all line and ground distortions and also time variable characteristic admittances by exponential functions.
Journal ArticleDOI
A high frequency transformer model for the EMTP
TL;DR: In this paper, a model to simulate the high-frequency behavior of a power transformer is presented based on the frequency characteristics of the transformer admittance matrix between its terminals over a given range of frequencies.
Journal ArticleDOI
Simulation of transmission line transients using vector fitting and modal decomposition
Bjorn Gustavsen,Adam Semlyen +1 more
TL;DR: A fast and robust method for rational fitting of frequency domain responses, well suited for both scalar and vector transfer functions, which results in increased computational efficiency for transmission line models using modal decomposition with frequency dependent transformation matrices.
Journal ArticleDOI
Practical transfer function estimation and its application to wide frequency range representation of transformers
A.O. Soysal,Adam Semlyen +1 more
TL;DR: In this article, a general methodology for estimation of transfer function parameters from frequency response data is presented, which is based on the solution of a linear least squares problem by the singular value decomposition (SVD).
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