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RationalVectorFitting

Fast Relaxed Vector-Fitting algorithm in Julia

https://github.com/pedrohnv/rationalvectorfitting.jl

Science Score: 67.0%

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Repository

Fast Relaxed Vector-Fitting algorithm in Julia

Basic Info
  • Host: GitHub
  • Owner: pedrohnv
  • License: gpl-3.0
  • Language: Julia
  • Default Branch: main
  • Homepage:
  • Size: 778 KB
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Created about 7 years ago · Last pushed 10 months ago
Metadata Files
Readme Changelog License Code of conduct Citation

README.md

RationalVectorFitting

Fast Relaxed Vector Fitting implementation in Julia.

Given a transfer function $f(s) = y$, the Vector Fitting algorithm tries to find a rational approximation

$$f(s) \approx \sum{n=1}^N \frac{rn}{s - a_n} + d + s h$$

where $s$ is the complex frequency, $rn$ are the complex residues, $an$ are the complex poles, $d$ and $h$ are real constants.

The transfer function can be a vector $f(s) = [y1, \dots, ym]$ and the Vector Fitting algorithm will fit the response using the same set of poles $an$ for all $ym$.

A rational representation of a transfer function makes it easier to find a state space canonical realization of a system and to perform convolutions.

Example

Read the docs for more examples.

```julia using RationalVectorFitting using Plots

Ns = 101 freq = exp10.(range(0, 4, length = Ns)) s = 2im * pi * freq poles0 = [-5.0, -100 - 500im, -100 + 500im] residues0 = [2.0, 30 - 40im, 30 + 40im] d0 = 0.5 h0 = 0.0 f = rational(s, poles0, residues0, d0, h0) initpoles = -2pi * exp10.(range(0, 4, length = 3)) poles, residues, d, h, fitted, errornorm = vectorfitting(s, f, initpoles) begin p1 = plot(freq, abs.(f), label="f(s)", linecolor=:blue, xlabel="Frequency [Hz]", xaxis=:log, yaxis=:log, legend=:right) plot!(freq, abs.(fitted), label="fitted(s)", linecolor=:darkorange) plot!(freq, abs.(f - fitted), label="deviation", linecolor=:green) display(p1) end ```

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How to Cite

If you use RationalVectorFitting.jl in your work, please cite using the reference given in CITATION.cff.

Contributing

If you want to make contributions of any kind, please first that a look into our contributing guide directly on GitHub or the contributing page on the website.

Contributors

Bibliography

[1] B. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," in IEEE Transactions on Power Delivery, vol. 14, no. 3, pp. 1052-1061, July 1999, doi: 10.1109/61.772353.

[2] B. Gustavsen, "Improving the pole relocating properties of vector fitting," in IEEE Transactions on Power Delivery, vol. 21, no. 3, pp. 1587-1592, July 2006, doi: 10.1109/TPWRD.2005.860281.

[3] D. Deschrijver, M. Mrozowski, T. Dhaene and D. De Zutter, "Macromodeling of Multiport Systems Using a Fast Implementation of the Vector Fitting Method," in IEEE Microwave and Wireless Components Letters, vol. 18, no. 6, pp. 383-385, June 2008, doi: 10.1109/LMWC.2008.922585.

[4] A. M. Smith, S. D'Arco, J. A. Suul and B. Gustavsen, "Improved Pole Placement and Compaction of MIMO Vector Fitting Applied to System Identification," in IEEE Transactions on Power Delivery, vol. 39, no. 2, pp. 1259-1270, April 2024, doi: 10.1109/TPWRD.2024.3364836.

Owner

  • Name: Pedro H. N. Vieira
  • Login: pedrohnv
  • Kind: user
  • Location: Brazil

PhD Student at UFRJ. Interested in computer-aided engineering. Currently doing research about electric field computation in power substations.

Citation (CITATION.cff) 

# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!

cff-version: 1.2.0
title: RationalVectorFitting.jl
message: >-
  If you use this software, please cite it using the
  metadata from this file.
type: software
authors:
  - given-names: Pedro H. N. Vieira
    email: phnvieira@proton.me
identifiers:
  - type: doi
    value: 10.1109/61.772353
    description: >-
      Rational approximation of frequency domain responses
      by vector fitting
  - type: doi
    value: 10.1109/TPWRD.2005.860281
    description: >-
      Improving the pole relocating properties of vector
      fitting
  - type: doi
    value: 10.1109/LMWC.2008.922585
    description: >-
      Macromodeling of Multiport Systems Using a Fast
      Implementation of the Vector Fitting Method
repository-code: 'https://github.com/pedrohnv/VectorFitting.jl'
abstract: >-
  Fast Relaxed Vector Fitting implementation in Julia
  programming language
keywords:
  - vector fitting
license: GPL-3.0-or-later

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  • Total versions: 4
juliahub.com: RationalVectorFitting

Fast Relaxed Vector-Fitting algorithm in Julia

  • Versions: 4
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Dependent packages count: 16.3%
Last synced: 10 months ago