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    Summary

    Description
    English: Transient Analysis of a comparator-based hysteretic oscillator (i.e., a relaxation oscillator implemented with a Schmitt trigger and an RC network) with R=C=1 (unit). The system properties are:
    VR=Vout2
    VC=Vout(1−e−t)
    Vout=±∣Vdd∣
    The system is assumed to begin with Vout=Vdd, VC=0, Vdd=1V and Vss=−1V
    Русский: Осциллограммы колебаний в разных точках схемы релаксационного генератора на операционном усилителе
    Date
    Source Own work
    Author Krishnavedala
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    Source code
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    Python code

    Python source code 
    from matplotlib.pyplot import *
from numpy import *

RC, peak = 1., 1.
Vdd, Vss, T, duty = peak, -peak, 2.*log(3.)*RC, .5
Tmax, lim = 3.*T, .01
totalT = linspace(0,Tmax,150)
Vo, Vc, out, vc, n = [], [], Vss, 0., 0.
for x in totalT:
	vc = out * (1. - exp(-x+n*T*.5))
	Vo = append(Vo,out)
	Vc = append(Vc,vc)
	if (vc >= Vdd*0.5) or (vc <= Vss*0.5):
		out = -out
		n = n + 1.
Vr = Vo * 0.5

fig = figure(figsize=(8,4))
ax = fig.add_subplot(111)
ax.grid(True)
ax.plot(totalT,Vo, label=r"$V_{\mathrm{out}}$")
ax.plot(totalT,Vr, label=r"$V_R$")
ax.plot(totalT,Vc, label=r"$V_C$")
ax.legend(loc='upper right',bbox_to_anchor=(.955,1.),\
	frameon=False,handletextpad=.05)
ax.set_ylim(-1.1,1.1)
ax.minorticks_on()
ax.set_xlim(0,Tmax)
ax.set_xlabel("t",fontsize=15)
ax.set_ylabel("Voltage")

fig.savefig("Opamprelaxationoscillator.png",bbox_inches="tight",\
	pad_inches=.15)

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    GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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    Captions

    Transient Analysis of a comparator-based hysteretic oscillator.

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    checksum

    84b1deaa81fa9568e2d123e3f1f87dd4f871656e

    determination method or standard: SHA-1

    inception

    8 June 2011

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    Date/TimeThumbnailDimensionsUserComment
    current05:19, 8 June 2011Thumbnail for version as of 05:19, 8 June 2011644 × 350 (57 KB)Krishnavedala{{Information |Description ={{en|1=Transient Analysis of a comparator-based hysteretic oscillator (i.e., a relaxation oscillator implemented with a Schmitt trigger and an RC network) with R=C=1 (unit). The system properties are: :V_R = \frac {V_{

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