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Directory graphics/pgf/contrib/bodeplot

README.md

bodeplot

package to plot Bode, Nichols, and Nyquist diagrams.

Inspired by the bodegraph package.

Limitation: Phase plots from TF commands are wrapped between 0 and 360 degrees.

Added functionality:

  • New \BodeZPK and \BodeTF commands to generate Bode plots of any transfer function given either poles, zeros, gain, and delay, or numerator and denominator coefficients and delay
  • Support for unstable poles and zeros.
  • Support for complex poles and zeros.
  • Support for general stable and unstable second order transfer functions.
  • Support for both gnuplot (default) and pgfplots (package option pgf).
  • Support for linear and asymptotic approximation of magnitude and phase plots of any transfer function given poles, zeros, and gain.

Main Bode/Nyquist/Nichols commands: Given Zeros, Poles, Gain, and Delay (Bode plots support asymptotic and linear approximation for systems without delays):

  • \BodeZPK[object1/type1/{options1},object2/type2/{options2},...]{z/{zeros},p/{poles},k/gain,d/delay}{min-frequency}{max-frequency}
  • \NicholsZPK[plot/{options},axes/{options}]{z/{zeros},p/{poles},k/gain,d/delay}{min-frequency}{max-frequency}
  • \NyquistZPK[plot/{options},axes/{options}]{z/{zeros},p/{poles},k/gain,d/delay}{min-frequency}{max-frequency}

Given Numerator and denominator coefficients and delay (does not support approximation yet):

  • \BodeTF[object1/type1/{options1},object2/type2/{options2},...]{num/{coeff},den/{coeff},d/delay}{min-frequency}{max-frequency}
  • \NicholsTF[plot/{options},axes/{options}]{num/{coeff},den/{coeff},d/delay}
  • \NyquistTF[plot/{options},axes/{options}]{num/{coeff},den/{coeff},d/delay}

Other new environments and associated commands:

  • BodePlot environment
    • \addBodeZPKPlots[{approximation1/{plot-options1}},{approximation2/{plot-options2}},...]{plot-type (phase or magnitude)}{z/{zeros},p/{poles},k/gain,d/delay}
      • \addBodeTFPlot[plot-options]{plot-type (phase or magnitude)}{num/{coeff},den/{coeff},d/delay}
      • \addBodeComponentPlot[plot-options]{basic_component_plot_command}
        • Basic component plot commands: (append Lin to get linear approximation and Asymp to get asymptotic approximation) (change Pole to Zero to get inverse plots) (change Mag to Ph to get phase plots)
        • \MagK{a} - Pure gain, G(s) = a.
        • \MagPole{a}{b} - Single pole at s = a+bi, G(s) = 1/(s - a-bi).
        • \MagCSPoles{z}{w} - Cannonical Second order system, G(s) = 1/(s^2 + 2zws + w^2).
        • \MagSOPoles{a}{b} - Second Order system, G(s) = 1/(s^2 + as + b).
        • \MagDel{T} - Pure delay, G(s) = exp(-Ts) (does not admit asymptotic approximation).
  • NicholsChart environment
    • \addNicholsZPKChart[plot-options]{z/{zeros},p/{poles},k/gain,d/delay}
      • \addNicholsTFChart[plot-options]{num/{coeff},den/{coeff},d/delay}
  • NyquistPlot environment
    • \addNyquistZPKPlot[plot-options]{z/{zeros},p/{poles},k/gain,d/delay}
      • \addNyquistTFPlot[plot-options]{num/{coeff},den/{coeff},d/delay}

Download the contents of this package in one zip archive (699.7k).

bodeplot – Draw Bode, Nyquist and Nichols plots with gnuplot or pgfplots

This is a package to plot Bode, Nichols, and Nyquist diagrams. It provides added functionality over the similar bodegraph package:

  • New \BodeZPK and \BodeTF commands to generate Bode plots of any transfer function given either poles, zeros, gain, and delay, or numerator and denominator coefficients and delay
  • Support for unstable poles and zeros.
  • Support for complex poles and zeros.
  • Support for general stable and unstable second order transfer functions.
  • Support for both Gnuplot (default) and pgfplots (package option pgf).
  • Support for linear and asymptotic approximation of magnitude and phase plots of any transfer function given poles, zeros, and gain.

Packagebodeplot
Bug trackerhttps://github.com/rlkamalapurkar/bodeplot/issues
Repositoryhttps://github.com/rlkamalapurkar/bodeplot
Version1.0.7 2022-01-18
LicensesThe Project Public License 1.3c
Copyright2021 Rushikesh Kamalapurkar
MaintainerRushikesh Kamalapurkar
Contained inTeX Live as bodeplot
MiKTeX as bodeplot
TopicsGraphics plot
PGF TikZ
Engineering
See alsobodegraph
...
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