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Summary

Description
English: Voltage regulator V-I curves for foldback, current limited, and unlimited.
Date
Source Own work
Author Nanite
SVG development
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The source code of this SVG is invalid due to an error.
 
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Source code
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Python code

#Requires [[:wikipedia:matplotlib|matplotlib]]. Due to a bug in wikipedia's SVG renderer, 
#the raw files appear with curves peeking outside of the axes. 
#Before uploading the files were touched up by releasing and re-setting the clip paths.

from pylab import *

figtype = '.svg'
saveopts = {'bbox_inches':'tight'} #, 'transparent':True, 'frameon':True}
seterr(divide='ignore')

V_fb = concatenate([linspace(9.95,9.95,100, endpoint=False), linspace(9.95,0,101)])
I_fb = concatenate([linspace(0,0.995,100, endpoint=False), linspace(0.995,0.17,101)])
V_cl = concatenate([linspace(10.05,10.05,100, endpoint=False), linspace(10.05,0,101)])
I_cl = concatenate([linspace(0,1.005,100, endpoint=False), linspace(1.005,1.005,101)])
V_nl = linspace(10,10,151)
I_nl = linspace(0,1.5,151)
 
# Compute powers; Assume regulator is dropping voltage from a source 20% higher than V_oc.
P_cl = I_cl*(V_cl[0]*1.2 - V_cl)
P_fb =  I_fb*(V_fb[0]*1.2 - V_fb)
P_nl =  I_nl*(V_nl[0]*1.2 - V_nl)
Gcrit = 0.1
Rcrit = 10
Pcrit = 2
 
### Make V-I curve plot
 
fig = figure()
ax = axes()
xlim(0,1.7)
ylim(0,12)

ax.set_xlabel('Output current, $I_{\\rm out}$')
ax.set_xticks([I_fb[0], I_fb[-1], max(I_cl), max(I_nl)])
ax.set_xticklabels(['0', '$I_{\\rm SC}$', '$I_{\\rm max}$', '$I_{\\rm damage}$'])
 
ax.set_ylabel('Output voltage, $V_{\\rm out}$')
ax.set_yticks([0,10])
ax.set_yticklabels(['0', '$V_{\\rm OC}$'])
 
ax.plot(I_nl, V_nl, 'r', linewidth=2)
ax.plot([I_nl[-1]], [V_nl[-1]], 'r*', linewidth=2)
ax.plot(I_cl, V_cl, 'b', linewidth=2)
ax.plot(I_fb, V_fb, 'g', linewidth=2)
 
fig.set_size_inches(3,3)
fig.patch.set_alpha(0)
savefig('foldback-vi'+figtype, **saveopts)
 
 
 
### Make power and resistance load plot
 
fig = figure()
ax = axes()
xlim(0,0.5)
ylim(0,13)
 
ax.set_xlabel('Load conductance ($\Omega^{-1}$)')
#ax.set_xticks([0,0.1])
#ax.set_xticklabels(['0', '$G_{\\rm crit}$'])
 
ax.set_ylabel('Regulator heating power (W)')
ax.set_yticks([0,
        round(P_fb[100],1),
        round(max(P_fb),1),
        round(P_fb[-1],1),
        round(P_cl[-1],1)])
#ax.set_yticklabels(['0', '$P_{\\rm max,FB}$', '$P_{\\rm SC,FB}$','$P_{\\rm SC,CL}$'])
 
# Plot heat in regulator vs. conductance
ax.axvline(Gcrit, color='#777777', linestyle='dashed', linewidth=0.5)
ax.axhline(P_fb[-1], color='#777777', linestyle='dashed', linewidth=0.5)
ax.axhline(P_cl[-1], color='#777777', linestyle='dashed', linewidth=0.5)
ax.plot(I_nl/V_nl, P_nl, 'r', linewidth=2)
ax.plot([(I_nl/V_nl)[-1]], [P_nl[-1]], 'r*', linewidth=2)
ax.plot(I_cl/V_cl, P_cl, 'b', linewidth=2)
ax.plot(I_fb/V_fb, P_fb, 'g', linewidth=2)
 
ax.text(Gcrit/2, 9, 'OK', horizontalalignment='center')
ax.text(0.3, 9, 'Overload', horizontalalignment='center')
 
fig.set_size_inches(3,3)
fig.patch.set_alpha(0)
savefig('foldback-loadcon'+figtype, **saveopts)
 
 
 
### Make power and conductance load plot
 
fig = figure()
ax = axes()
xlim(0,16)
ylim(0,13)

ax.set_xlabel('Load resistance ($\Omega$)')
ax.set_xticks([0,5,10,15])
#ax.set_xticklabels(['0', '$G_{\\rm crit}$'])
 
ax.set_ylabel('Dissipation in regulator (W)')
#ax.set_yticks([0,
#        round(P_fb[100],1),
#        round(max(P_fb),1),
#        round(P_fb[-1],1),
#        round(P_cl[-1],1)])
#ax.set_yticklabels(['0', '$P_{\\rm max,FB}$', '$P_{\\rm SC,FB}$','$P_{\\rm SC,CL}$'])
 
# Plot heat in regulator vs. resistance

amfb = argmax(P_fb)

# grey lines
ax.axvline(Rcrit, color='#777777', linestyle='dashed', linewidth=0.5)
ax.plot([0,V_fb[amfb]/I_fb[amfb]], [P_fb[amfb]]*2, color='#777777', linestyle='dashed', linewidth=0.5)
ax.plot([0,Rcrit],[Pcrit,Pcrit], color='#777777', linestyle='dashed', linewidth=0.5)

#curves
ax.plot(V_nl/I_nl, P_nl, 'r', linewidth=2)
ax.plot([(V_nl/I_nl)[-1]], [P_nl[-1]], 'r*', linewidth=2)
ax.plot(V_cl/I_cl, P_cl, 'b', linewidth=2)
ax.plot(V_fb/I_fb, P_fb, 'g', linewidth=2)
 
ax.text(Rcrit/2, 12, 'Overloaded', horizontalalignment='center')
ax.text(13, 12, 'Normal', horizontalalignment='center')

fig.set_size_inches(3,3)
fig.patch.set_alpha(0)
savefig('foldback-loadres'+figtype, **saveopts)

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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1 August 2013

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Date/TimeThumbnailDimensionsUserComment
current06:41, 2 August 2013Thumbnail for version as of 06:41, 2 August 2013278 × 276 (45 KB)Nanitelabels, transparency
14:17, 1 August 2013Thumbnail for version as of 14:17, 1 August 2013278 × 274 (25 KB)NaniteUser created page with UploadWizard

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