bibli.ec-lyon.fr · mar ion ma rtin ep of s u cj e l m ousa im ohand p rf es u cj e l musy f ra nç...
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Page 1 de 3 Direction de la Recherche
mise à jour le 9 décembre 2007
Liste des personnes Habilitées à Diriger des Recherches en poste à l'Ecole Centrale de Lyon
Nom-Prénom Corps grade
Laboratoire ou à défaut département
ECL Etablissement
AURIOL Philippe professeur AMPERE ECL
BEROUAL Abderrahmane professeur AMPERE ECL
BURET François maître de conférences AMPERE ECL
JAFFREZIC-RENAULT Nicole directeur de recherche AMPERE CNRS/ECL
KRÄHENBÜHL Laurent directeur de recherche AMPERE CNRS/ECL
MARTELET Claude professeur AMPERE ECL
NICOLAS Alain professeur AMPERE ECL
NICOLAS Laurent directeur de recherche AMPERE CNRS/ECL
SIMONET Pascal chargé de recherche AMPERE CNRS/ECL
THOMAS Gérard professeur AMPERE ECL
VOLLAIRE Christian maître de conférences AMPERE ECL
Nbre Ampère 11
HELLOUIN Yves maître de conférences DER EEA ECL
LE HELLEY Michel professeur DER EEA ECL
Nbre DER EEA 2
GUIRALDENQ Pierre professeur émérite DER STMS ECL
VINCENT Léo professeur DER STMS ECL
Nbre DER STMS 2
LOHEAC Jean-Pierre maître de conférences ICJ ECL
MAITRE Jean-François professeur émérite ICJ ECL
MARION Martine professeur ICJ ECL
MOUSSAOUI Mohand professeur ICJ ECL
MUSY François maître de conférences ICJ ECL
ROUY MIRONESCU Elisabeth professeur ICJ ECL
ZINE Abdel-Malek maître de conférences ICJ ECL
Nbre ICJ 7
DAVID Bertrand professeur ICTT ECL
Nbre ICTT 1
CALLARD Anne-Ségolène maître de conférences INL ECL
CLOAREC Jean-Pierre maître de conférences INL ECL
GAFFIOT Frédéric professeur INL ECL
![Page 4: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/4.jpg)
Page 2 de 3 Direction de la Recherche
mise à jour le 9 décembre 2007
GAGNAIRE Alain maître de conférences INL ECL
GARRIGUES Michel directeur de recherche INL CNRS/ECL
GENDRY Michel directeur de recherche INL CNRS/ECL
GRENET Geneviève directeur de recherche INL CNRS/ECL
HOLLINGER Guy directeur de recherche INL CNRS/ECL
JOSEPH Jacques professeur INL ECL
KRAWCZYK Stanislas directeur de recherche INL CNRS/ECL
MARTIN Jean-René professeur émérite INL ECL
O'CONNOR Ian maître de conférences INL ECL
PHANER-GOUTORBE Magali professeur INL ECL
ROBACH Yves professeur INL ECL
SEASSAL Christian chargé de recherche INL CNRS/ECL
SOUTEYRAND Eliane directeur de recherche INL CNRS/ECL
TARDY Jacques directeur de recherche INL CNRS/ECL
VIKTOROVITCH Pierre directeur de recherche INL CNRS/ECL
Nbre INL 18
CHEN Liming professeur LIRIS ECL
Nbre LIRIS 1
BAILLY Christophe professeur LMFA ECL
BERTOGLIO Jean-Pierre directeur de recherche LMFA CNRS/ECL
BLANC-BENON Philippe directeur de recherche LMFA CNRS/ECL
BOGEY Christophe chargé de recherche LMFA CNRS/ECL
CAMBON Claude directeur de recherche LMFA CNRS/ECL
CARRIERE Philippe chargé de recherche LMFA CNRS/ECL
CHAMPOUSSIN J-Claude professeur émérite LMFA ECL
COMTE-BELLOT genevièvre professeur émérite LMFA ECL
FERRAND Pascal directeur de recherche LMFA CNRS/ECL
GALLAND Marie-Annick maître de conférences LMFA ECL
GODEFERD Fabien chargé de recherche LMFA CNRS/ECL
HENRY Daniel directeur de recherche LMFA CNRS/ECL
JEANDEL Denis professeur LMFA ECL
JUVE Daniel professeur LMFA ECL
LE RIBAULT Catherine chargée de recherche LMFA CNRS/ECL
LEBOEUF Francis professeur LMFA ECL
PERKINS Richard professeur LMFA ECL
ROGER Michel professeur LMFA ECL
SCOTT Julian professeur LMFA ECL
SHAO Liang chargé de recherche LMFA CNRS/ECL
SIMOENS Serge chargé de recherche LMFA CNRS/ECL
TREBINJAC Isabelle maître de conférences LMFA ECL
Nbre LMFA 22
BENAYOUN Stéphane professeur LTDS ECL
CAMBOU Bernard professeur LTDS ECL
COQUILLET Bernard maître de conférences LTDS ECL
DANESCU Alexandre maître de conférences LTDS ECL
FOUVRY Siegfrid chargé de recherche LTDS CNRS/ECL
GEORGES Jean-Marie professeur émérite LTDS ECL
GUERRET Chrystelle chargé de recherche LTDS CNRS/ECL
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Page 3 de 3 Direction de la Recherche
mise à jour le 9 décembre 2007
HERTZ Dominique past LTDS ECL
ICHCHOU Mohamed maître de conférences LTDS ECL
JEZEQUEL Louis professeur LTDS ECL
JUVE Denyse ingénieur de recherche LTDS ECL
KAPSA Philippe directeur de recherche LTDS CNRS/ECL
LE BOT Alain chargé de recherche LTDS CNRS/ECL
LOUBET Jean-Luc directeur de recherche LTDS CNRS/ECL
MARTIN Jean-Michel professeur LTDS ECL
MATHIA Thomas directeur de recherche LTDS CNRS/ECL
MAZUYER Denis professeur LTDS ECL
PERRET-LIAUDET Joël maître de conférences LTDS ECL
SALVIA Michelle maître de conférences LTDS ECL
SIDOROFF François professeur LTDS ECL
SINOU Jean-Jacques maître de conférences LTDS ECL
STREMSDOERFER Guy professeur LTDS ECL
THOUVEREZ Fabrice professeur LTDS ECL
TREHEUX Daniel professeur LTDS ECL
VANNES André-Bernard professeur émérite LTDS ECL
Nbre LTDS 25
Total HdR ECL 89
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En mémoire de mon père Louis etde ma sœur Victorine
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Chapitre I
PRINCIPAUX MODELES DE
PROPAGATION DE L’ARC ELECTRIQUE
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I
7"!48!"4[""#"4
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J
=)9)C:+*0
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5V#4"# "!454!NJO+"6!5
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!
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J. $+I)
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=)9)2:+G<*0*0
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% $+I)
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'
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3
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(
8! !! " ; ! "4. " ! " 6
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"
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+
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5?"455!!@"8!#+'
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7"4!""
( )
&ρ
−= $+I3)
&
ε=
− $+I()
Tρ .ε . .
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4! " 44A "" 6! @ "
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&ρ= $+J)
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'
'
( ω= +
+ $+J')
4
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'
& & (
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= ++
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4ω ""!
7 "! 4!? #!. 4 4!? " 5"
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( )( ) ( )
'
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ρ ρ ω ε ρ = + − + − $+J)
T ' ω ρ ε= + $+J)
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'
( ) & & &α ρ ρ ω ε ρ= − + $+JI)
"45""!544!
( )( )
'
' & & & & & &
α α ρ ρ ρ ρ = − + − +
$+JJ)
!C[
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'
' & & &
& &α α ρ ρ ρ = − + −
$+J)
- 4!! 4! C " #! "4 @ "!! "!54 !
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≤ $+J3)
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< + −
$+J()
4"!!4!"85
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ρρ ρ
α− < − $+)
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455 " 5 & ρα
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5"4!"[email protected]!5"4A5"4
"44A""!%6!5"5!?!
&
ρ= $+)
!"44
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) = $+I)
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< $+)
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ρρ ρ
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ρ ρ< $+()
44."4#@!4"!!@!C4""
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=)9)4)=*:*
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4! 4 4 T " 4!4"! 4 8! <
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ττ
' +
−= $+3)
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4D4"84!44!;5
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µυ = $+3()
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Kk45j.!"!!""#4[$[ j)
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J
=)=)=!+:++G
2B K NO 5?" ;5!@ @! 5 "
5?" 4 8 @!" 455 4!? #!. 4"! /5
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4A@4"""""54"45!" "4
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4!"@!"4!@4C44!4!855!4!""
!"! " 4!? !54 N'3. IO 455 4!? #!H 4 5?"
5 4"4" " ! 45 4!!@. " 5 45 "
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5!!@"!
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3
!GFN'O @ 4 85" 44 4 ";!5!""N O "
!"!"5?";5!@NO
A"NO!@""45"4A##"!@!
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4."!6!
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0 −== µ $+()
TZ!#"5 !"!"4"4
?A"."4A5%6!5
+
= '
π
πρ
$+(I)
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85#!4!!@."!5!!""#!4
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(
β ""@ 'β< <
75
'
. 0ρπ= $+()
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24A@
0= $+(3)
"
( ) ( )'
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βρπ
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4
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Chapitre III
VALIDATION DU MODELE EN TENSION
IMPULSIONNELLE
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8
9
Temps (µs)
Lon
gueu
r de
la d
écha
rge
(cm
)
0 10 20 30 40 50 60 70 800
1
2
3
4
5
6
7
8
9x 10
-9
Temps (µs)
Cha
rge
(C)
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((
3*
44A!.!""" !8"5"!!;5!@
4A# " A!4!4!"4!@@!"5A4!
!"!4!44!!@4A##84!"
""5!?!4!!5"!5!5!"!88
5?"4A#$"4. "4A#!B4. ";"4A#. "!
!)4544!!@"!"$#5!.!! !
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''
Chapitre IV
VALIDATION EN TENSION ALTERNATIVE
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0
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/ +
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854 !" 4! "!5! 4!!@. "4A#
! ? 85! ?4A 5! 54 7
4@. " ! 45 " 5%5 4!! ! "
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"!!!?"5!?"4!4!4!!!
45 % !55! ! " !!! " 44A ""! @!5
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0
'
"4 " " " 44A ""! 8!# +=' C +=
"S"! 5"" " 4A !. " ! C " % " 4A#
4 84! 56"44!! " 44A""!
4!5 Ir2 Ir2 ! 45 ;5!@ 4
4!5 I((I F= '33 F= @ " 4 #5
S "!!5 " 5!? 5!""!4 ! 8V 6!""
B@C!"45"64."45!"
5!?"4!!S. " "" " 44!! "44A
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#!. "" !5! @ " " " 44!! " 44A ""
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Q!#+='"!5""!"4A#84!"""
5!?!85D44!!Ir2!55*!45
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4
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
1
2
3
4
5
6x 10
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
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0
'I
Q!# += "! 5"" 4 " 4A# 84 !"
"" 5!? !85D 44!! Ir2 ! 55 *!
45;5!@ I(.(IF=
Q!#+="!5""!"4A#84!"""
5!?!85D44!!Ir2!.55*!45
;5!@ '3.3 F=
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Temps (ms)
Cou
rant
(A)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2x 10
4
Tension appliquéeChute de tensionTension à la tête de l'arc
Tens
ion
(V)
Temps (ms)
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0
'J
Q!# += "! 5"" 4 " 4A# 84 !"
"" 5!? !85D 44!! I r2 ! . 55 *!
45;5!@ '3.3 F=
7 8 Q!#+=I=!!"4A#44!!Ir2.!
""!.55*!45;5!@ I(.(IF=
Temps (ms)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.5
1
1.5
Cou
rant
(A)
Temps (ms)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
200
400
600
800
1200
Vite
sse
de la
déc
harg
e (m
/s)
1000
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0
'
Q!#+=J=!!"4A#44!!Ir2.!
""!.55*!45;5!@ '3.3 F=
9)9 *B*77
9)9)/ *B*7+,.+*
9)9)/)/*P.+**+L++)
4 4. 4!? !" " 84 45 6
44!!g'g 5!? 44!!σ'4""4R
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" "!" 6!?5 44!!σ . "# #" @
$'&)" "#"$g'qg )5@@"4!8V
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"44!!6 !5"!48!
! 5!? 5@ "#? #5! "!! !!
T44"5!48!!?T "4
#5?!5!54?8! ".!4""
4! 4< 4;4" 8"4! 8! ""@ " 4!? #!
!8! $8!# +='' +=' )*8!. " 45. ""
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
100
200
300
400
500
600
700
800
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
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0
'3
"?#"#"4A#!""!"!$8!#+=')D
"" 4< 8! "# ! 4554 4!4. 4
556"!@" 4#!"4A#D4@!4@
"""""#"4A#!#C4"!
$)
$ ) Q!# +=u"! 5"" " ! $) 4 $ ) "4A# "
!"854;"!!@"#8 '345.!""!55.g' Ir2
g 'r2!45;5!@ 'I J'F=
0 0.5 1 1.5 2 2.5 3 3.50
0.1
0.2
0.3
0.4
0.5
0.6
0.7
Temps (ms)
Cou
rant
(A)
0 0.5 1 1.5 2 2.5 3 3.50
2
4
6
8
10
12
14x 10
4
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
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0
'(
$)
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!"854;"!!@"#8 '345.!""!55.g' Ir2
g .'r2!45;5!@ I.('F=
5
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
1
2
3
4
5
6x 10
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
Temps (ms)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.02
0.04
0.06
0.08
0.1
0.12
0.14
0.16
0.18
0.2
Temps (ms)
Cou
rant
(A)
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0
''
$)
$ )Q!# +=(u"! 5"" " ! $) 4 $ ) "4A# "
!"854;"!!@"#8 '345.!""!.55.g' Ir2
g 'r2!45;5!@ 'J(.3F=
0 1 2 3 4 5 60
2
4
6
8
10
12
14
16
18x 10
4
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
0 1 2 3 4 5 60
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
Temps (ms)
Cou
rant
(A)
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0
'''
$)
$ ) Q!#+='u"!5"" " !$)4$ ) "4A#"
!"854;"!!@"#8 '345.!""!.55.g' Ir2
g .'r2!45;5!@ I3F=
5
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
1
2
3
4
5
6x 10
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.02
0.04
0.06
0.08
0.1
0.12
0.14
Temps (ms)
Cou
rant
(A)
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0
''
$)
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4;"!!@ "#8 '345.!""! 55 $)g' Ir2g 'r2
! 45 ;5!@ 'I J' F=D $ )D g' I r2 g .' r2 !
45;5!@ I.('F=
0 0.5 1 1.5 2 2.5 3 3.50
200
400
600
800
1000
1200
1400
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
500
1000
1500
2000
2500
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
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0
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4;"!!@"#8 '345.!""!.55$)g' Ir2g 'r2
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45;5!@ I3F=$ )
0 1 2 3 4 5 60
200
400
600
800
1000
1200
1400
1600
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
500
1000
1500
2000
2500
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
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0
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0 0.5 1 1.5 2 2.5 3 3.50
20
40
60
80
100
120
140
160
180
200
Temps (ms)
Lon
gueu
r de
la d
écha
rge
(cm
)
Temps (ms)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
20
40
60
80
100
120
140
160
180
200
Lon
gueu
r de
la d
écha
rge
(cm
)
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0
''I
9)9)/)9*P.+**+L++)
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4R ""4 A ! 4 " ! @ $&) " "# "
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#"4A#" 85""4"!5
@ " " 44!! " "! ! ! 4""
44A#$8!#+='3'()D!"5%5"56!5"
8!# += ' !"" ""! " 4A# ; "4
!"854;"!!@; !45"@"B
" 4 ""! !4! ! 6 4g' d g 5!?
44!!g'.4""4R""4A!D""
"#'. I45"@"4 44!!g 5J.I45
@ " 4A# " !5 g &g' " !5. 4 @!
!#"5#5!;"4A#
4A# 5 @!5 4 B@C ! . 5 ! 5 C
4<!"" $8!#+= )"6!?54."4A#
45544!4 .5!3'CI.5$8!#+= )
; "4A#!@5!5" "g &g'I8!
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0
''J
$)
$ )Q!#+='u"!5"" " !$)4$ ) "4A#"
!"854;"!!@"#8 '345.!""!55.g' 'r2
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0 0.5 1 1.5 2 2.5 3 3.5 40
2
4
6
8
10
12x 10
4
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
0 0.5 1 1.5 2 2.5 3 3.5 40
0.2
0.4
0.6
0.8
1
1.2
1.4
Temps (ms)
Cou
rant
(A)
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0
''
$)
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Q!#+='Iu"!5"" " !$)4$ ) "4A#"
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g Ir2!45;5!@ J. 3F=
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.5
1
1.5
2
2.5
3
3.5x 10
5
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.5
1
1.5
2
2.5
3
3.5
4
Temps (ms)
Cou
rant
(A)
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0
''3
$)
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Q!#+='Ju"!5"""!4"4A#"!"
854;"!!@"#8 '345.!""!.55.g' 'r2g I
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0 0.5 1 1.5 2 2.5 3 3.5 40
2
4
6
8
10
12
14
16
Temps (ms)
Cou
rant
(A)
4
0 0.5 1 1.5 2 2.5 3 3.5 40
2
4
6
8
10
12x 10
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
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0
''(
$)
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0 0.5 1 1.5 2 2.5 3 3.5 40
0.5
1
1.5
2
2.5
3
3.5x 10
5
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
0 0.5 1 1.5 2 2.5 3 3.5 40
10
20
30
40
50
60
70
80
Temps (ms)
Cou
rant
(A)
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0
'
$)
$ )
Q!#+='3u"!5""!!4A#46
48!#+='$)+='I$ )
0 0.5 1 1.5 2 2.5 3 3.5 40
200
400
600
800
1000
1200
1400
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
200
400
600
800
1000
1200
1400
1600
1800
2000
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
![Page 137: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/137.jpg)
0
' '
$)
$ )
Q!#+='(u"!5""!!4A#46
48!#+='J$)+='$ )
0 0.5 1 1.5 2 2.5 3 3.5 40
500
1000
1500
2000
2500
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.5 40
200
400
600
800
1000
1200
1400
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
![Page 138: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/138.jpg)
0
'
$)
$ )
Q!# += u"! 5"" " 4A# " 45 !" 85
4;"!!@"#8 '345.!""!.55$)g' 'r2g Ir2D$ )
g' .'r2.g Ir2
0 0.5 1 1.5 2 2.5 3 3.5 40
0.5
1
1.5
2
2.5x 10
-7
Temps (ms)
Cha
rge
(C)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
1
2
3
4
5
6
7
8
9x 10
-7
Temps (ms)
Cha
rge
(C)
![Page 139: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/139.jpg)
0
'
7
$)
$ )
Q!#+= 'u"!5"";"4A#"45!"
854;"!!@"#8 '345.!""!.55$)g' 'r2g I
r2D$ )g' .'r2.g Ir2
0 0.5 1 1.5 2 2.5 3 3.5 40
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5x 10
-3
Temps (ms)
Ray
on d
e la
déc
harg
e (m
m)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
1
2
3
4
5
6
7
8
9x 10-3
Temps (ms)
Ray
on d
e la
déc
harg
e (m
m)
![Page 140: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/140.jpg)
0
'
9)9)9 *+:+*B*7*.+*
4"5%5!"@455!4"!
!4! 4@ !" 45 ! ! ! 6 48!#!
!8884"!"!!!85! "4
8V"!"44!!"5!?48!#!.@"
?""4"@"48!#!." 4"
4"" "44!! "" 8! " "# !88
""4 A ! ""4 5. I 45 "
5!? .'45"6!?5 'I45"!!?5
9)9)9)/ *B.+*
O!"4T"! "##"$!8&)@"
6 6%55%544!!.!'r2."@" 4"C
44!! r2 8!# += C I ""! 44!!@ "
4A# 4 4!! 5@@ " 4 #5 "?#?5
4A4" 4"""44!45C4<
"!54#5! ""!? 4A#4554
C#5!"!4A" ""44!4
#5!"!!6" !54" "#
!56!5"!5%5@4""5"48!#!C
6 5! " !! 45"?5 !88 #! "
4A#884" 4"""44!4D?G
"#. #5! ".C'J5&
![Page 141: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/141.jpg)
0
' I
Q!# += " 4A# "!" 4;"!!@ "#8 '3 45
;'I45.!""!.55D"#44!! I.''I45."
!45'(. IF=
Q!#+= A#"45"!"4;"!!@"#8 '345
;'I45.!""!.55D"#44!! I.''I45.
!45'(. IF=
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
0.2
0.4
0.6
0.8
1
1.2
1.4
Temps (ms)
Cou
rant
(A)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2x 10
-7
Temps (ms)
Cha
rge
(C)
![Page 142: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/142.jpg)
0
' J
Q!# += =! " 4A# !" 4;"!!@ "#8 '3 45
;'I45.!""!.55D"#44!! I.''I45."
!45'(. IF=
Q!# += I u"! " !4 " 4A# " 45 "!"
4;"!!@ "# 8 '3 45 ; 'I 45. ! ""! .55D "#
44!! I.''I45
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
200
400
600
800
1000
1200
1400
1600
1800
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5x 107
Temps (ms)
Rés
ista
nce
de la
déc
harg
e (
/m)
![Page 143: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/143.jpg)
0
'
.O4!?48!4!44!! 4" !5
@ 455 " 6%5 @!5 ?4A 4SC! 4
44!!.'r2!@" 4"?""444!!
Ir2 "# !!@ $8&) 8!# += J@"@
44!!@ 4 4 5@ @ " 5"! 4
! 4""@"44$)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
2
4
6
8
10
12
14
16
18x 10
6
Temps (ms)
Tens
ion
(V)
tension appliquéechute de tensiontension à la tête de l'arc
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
0.01
0.02
0.03
0.04
0.05
0.06
0.07
Temps (ms)
Cou
rant
(A)
![Page 144: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/144.jpg)
0
' 3
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
500
1000
1500
2000
2500
3000
3500
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
0.2
0.4
0.6
0.8
1
1.2x 10
-3
Temps (ms)
Ray
on d
e la
déc
harg
e (m
m)
![Page 145: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/145.jpg)
0
' (
Q!# += J 5 " 44!!@ !. 4. ; " 4A#. ! "
4A#.!4"4"#"4A#"!"4;"!!@"#8 '3
45;'I45.!""!.55D"#44!! I.'
'I45."!45'.(0=
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
20
40
60
80
100
120
140
160
180
200
Temps (ms)
Lon
gueu
r de
la d
écha
rge
(cm
)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
0.5
1
1.5
2
2.5
3
3.5
4
4.5x 10
9
Temps (ms)
Rés
ista
nce
de la
déc
harg
e (
/m)
![Page 146: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/146.jpg)
0
'
O # " 5%5 48!#! 5! 4A# " "#
"# " 4"@! """"#" " " "#
6%5.!8& .44!!Ir2 ""44
4A4 " @ " "# 8! " 44!! ' r2
!44A.55" ?"".'55"
"""44"!."4"4A#."!4
" 4A# "! #! "4. 4 4!!. "
8!#+= += 35@@"!!! "!"
!4"!?5 " "# " 44!! $! " 44!!
") #! 8V !#!8!4! $! 4A# !4"5) "
44!!@"4A#
$)
0 0.5 1 1.5 2 2.50
2
4
6
8
10
12
14
16x 10
4
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tensionTension à la tête de l'arc
![Page 147: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/147.jpg)
0
''
$ )Q!#+= u"!"!$)4$ )"4A#"45
"!"4;"!!@"#8 '345;'I45.!"44A?""
.55"".'55D"#44!! I.''I45
$)
0 0.5 1 1.5 2 2.50
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Temps (ms)
Cou
rant
(A)
0 0.5 1 1.5 2 2.50
0.5
1
1.5
2
2.5x 10
7
Temps (ms)
Rés
ista
nce
de la
déc
harg
e (
/m)
![Page 148: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/148.jpg)
0
'
$ )Q!# += 3 u"! " !4 4A# $) " ! "4 $ ) "
45"!"4;"!!@"#8 '345;'I45.!"
44A?"".554"""".'55D"#44!! I.'
'I45
9)9)9)9 *.+*
4" 4"" @! C " " " 44!! " 5! "
"444'r2"@"6 6%5"5%544!!C!r2
! "5%5"#!"!""#"8!
0 0.5 1 1.5 2 2.50
200
400
600
800
1000
1200
1400
1600
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
![Page 149: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/149.jpg)
0
'
Q!# += ( " 4A# "!" 4;"!!@ "#8 '3 45
;'I 45. ! ""! .55 " 6%5 .'55 "
4" D "#44! ! I.''I45. " !45
'3.IJF=
Q!#+=A#"45"!"4;"!!@"#8 '345
; 'I 45. ! ""! .55 " 6%5 .'55 "
4"D "#44!! I.''I45.!45
'3.IJF=
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
1
2
3
4
5
6
7
8
9
10
Temps (ms)
Cou
rant
(A)
-7
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.5
1
1.5
2
2.5
3
3.5
4
4.5x 10
Temps (ms)
Cha
rge
(C)
![Page 150: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/150.jpg)
0
'
Q!# +='=! " 4A# !" 4;"!!@ "#8 '3 45
;'I 45. ! ""! .55 " 6%5 .'55 "
4" D "#44! ! I.''I45. " !45
'3.IJF=
Q!# += "! " !4 " 4A# " 45 "!"
4;"!!@"#8 '345.;'I45.!""!.55"
6%5.'55" 4"D"#44!! I.''I45
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
200
400
600
800
1000
1200
1400
1600
1800
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50
0.5
1
1.5
2
2.5
3x 10
7
Temps (ms)
Rés
ista
nce
de la
déc
harg
e (
/m)
![Page 151: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/151.jpg)
0
'I
9)9)= **7*.+*K+:,
!5"! 5?" "!" !!@ " 8!# +++'(. 5
5 !4 "!8"4 " 44!! " 44A ""!
!"""R"@B"!45%544A
9)9)=)/ 7++B++**+*.+*
8!# +=. += +=I " !4!" 44!!@ @!
4""4!!4A#@"44!! 8! "5""
!#"C'r2"@4"" 85""'r28!#
+=J. += +=35 " 455 !88 44!!@ "@ "
44!!"44A""!8! ".'r2"@"""!8
44!!'r2"#8!45?"3.I45!."
!5!!!@"8!#+++'(
55 " 4 " ! !5"!"". " 4 #5 @ "
!!!"44A""!!5!D"45!!?5
#!"#D4!. I544!!.'r2
I5'r244!!
"# " 4A# 4 ! 4< "!@ "
5#!" 5D""4<4!4!C"4A
45 5 5 ""! " "# 4
""!"!$8!#+=I+=3)+"!46"!4
!!4!!"5!5 "#"444AC
"5!!4!?#!@!!8!C!
![Page 152: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/152.jpg)
0
'J
$)
$ )Q!#+=u"!"!$)4"4A#$ )"45
"!"45 8! "5""C'r2.'55! 85
""C'r2.55!!45J. JF=
0 1 2 3 4 5 60
0.005
0.01
0.015
0.02
0.025
0.03
0.035
0.04
0.045
0.05
Temps (ms)
Cou
rant
(A)
0 1 2 3 4 5 60
0.5
1
1.5
2
2.5
3
3.5
4x 10
4
Temps (ms)
Tens
ion
(V)
Tension appliquéeChute de tension Tension à la tête de l’arc
![Page 153: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/153.jpg)
0
'
$)
$ )Q!#+=u"!;"4A#"45"!"45
8! "5""C'r2.'55!85""C'r2.
55!!45J. JF=
0 1 2 3 4 5 60
0.2
0.4
0.6
0.8
1
1.2x 10
-3
Temps (ms)
Ray
on d
e la
déc
harg
e (m
m)
0 1 2 3 4 5 60
0.2
0.4
0.6
0.8
1
1.2
1.4x 10
-8
Temps (ms)
Cha
rge
(C)
![Page 154: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/154.jpg)
0
'3
$)
$ )Q!# +=Iu"! "! " "# " 4A# " 45
"!"45 8! "5""C'r2.'55! 85
""C'r2.55!!45J. JF=
0 1 2 3 4 5 60
100
200
300
400
500
600
700
800
900
1000
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 1 2 3 4 5 60
1
2
3
4
5
6
7
8
9
Temps (ms)
Long
ueur
de
la d
écha
rge
(cm
)
![Page 155: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/155.jpg)
0
'(
$)
$ )
Q!#+=Ju"!"!$)4"4A#$ )"45
"!"45 8! "5""C.'r2.'55!85
""C'r2.55!!45''.I'F=
0 0.5 1 1.5 2 2.5 3 3.50
0.001
0.002
0.003
0.004
0.005
0.006
0.007
0.008
0.009
0.01
Temps (ms)
Cou
rant
(A)
Temps (ms)
0 0.5 1 1.5 2 2.5 3 3.50
1
2
3
4
5
6
7
8
9
10x 10
4
Tens
ion
(V)
Tension appliqué Chute de tension Tension à la tête de l’arc
![Page 156: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/156.jpg)
0
'
$)
$ )
Q!#+=u"!;"4A#"45"!"45
8! "5""C.'r2.'55!85""C'r2
.55!!45''.I'F=
0 0.5 1 1.5 2 2.5 3 3.50
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2x 10
-8
Temps (ms)
Cha
rge
(C)
-4
0 0.5 1 1.5 2 2.5 3 3.50
1
2
3
4
5
6x 10
Temps (ms)
Ray
on d
e la
déc
harg
e (m
m)
![Page 157: bibli.ec-lyon.fr · MAR ION Ma rtin ep of s u CJ E L M OUSA IM ohand p rf es u CJ E L MUSY F ra nç oi sm ît ed cfé I CJ E L R O UY M IR N ES Cli sab eth p rof u J L Z IN EAb d](https://reader030.vdocuments.mx/reader030/viewer/2022040422/5e159b72605628173414c787/html5/thumbnails/157.jpg)
0
''
$)
$ )Q!# +=3u"! "! " "# " 4A# " 45
"!"45 8! "5""C.'r2.'55!85
""C'r2.55!!45''.I'F=
0 0.5 1 1.5 2 2.5 3 3.50
200
400
600
800
1000
1200
1400
Temps (ms)
Vite
sse
de la
déc
harg
e (m
/s)
0 0.5 1 1.5 2 2.5 3 3.50
1
2
3
4
5
6
7
8
9
Temps (ms)
Lon
gueu
r de
la d
écha
rge
(cm
)
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0 0.5 1 1.5 2 2.5 3 3.5 4 4.50
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Cou
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0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.80
0.005
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0.03
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rant
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400
500
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Vite
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100
200
300
400
500
600
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800
900
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Vite
sse
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harg
e (m
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rant
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Long
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500
1000
1500
2000
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Vite
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Ray
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e la
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m)
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Cha
rge
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VALIDATION EN TENSION CONTINUE
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Conductivité surfacique (µS)
Tem
ps d
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ntou
rnem
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ms)
0 5 10 15 20 25 30 35 40 4520
30
40
50
60
70
80
Conductivité surfacique (µS)
Tens
ion
de c
onto
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1
1.2
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Cou
rant
(A)
0 5 10 15 20 25 30 35 40 45 500
10
20
30
40
50
60
70
80Te
nsio
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con
tour
nem
ent (
kV)
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Conductivité surfacique (µS)
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0 0.5 1 1.5 2 2.5 30
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0.5
1
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5
Temps (ms)
Rés
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0 0.5 1 1.5 2 2.5 30
0.5
1
1.5
2
2.5
3x 10
4
Temps (ms)
Rés
ista
nce
de l'
arc
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200
400
600
800
1000
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Vite
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0 0.5 1 1.5 2 2.5 30
100
200
300
400
500
600
700
800
Temps (ms)
Vite
sse
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Temps (µs)
Cou
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0 20 40 60 80 100 1200
0.5
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Temps (µs)
Tens
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Tension appliquéeChute de tensionTension à la tête de l’arc
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1
2
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4
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6
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8
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Long
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REFERENCES BIBLIOGRAPHIQUES
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