circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance
TRANSCRIPT
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Submitted on 19 Oct 2012
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Circuit générique de commandes rapprochées pourl’électronique de puissance
The Van Nguyen
To cite this version:The Van Nguyen. Circuit générique de commandes rapprochées pour l’électronique de puissance.Energie électrique. Université de Grenoble, 2012. Français. tel-00743576
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DABDRBEDABDB'
E %9F4+ DBB D B DA >!7B? >!7D? A2EED BBB BD
EEDC
).2
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tfutri
DSonM ++=+== +
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tfitruIVddfEdttItVfP offDS
tfitru
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trr
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2 &/FBDADB'DDDE%9F4+>Ω ?7
2 α DBA7
α..20 DSoncond RIP = >!7P?
+DDBDA>!7B?>!7D?EABEDAE
B'AABDBEDAABBAB
EEDCE79E DABDAE DEADE
E5/F]EE!/F]EB ADAAECEDA
BDCA D E D ' E EA AD B DDA B
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AA E DE D E DDA E E A D B
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EABDEDBDDDA#16DBBDBDB>!7F?7
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CAAACACFAFAAFACAAEEAEA
1F
4AC!7G7DAED-DDAEE7
dt
dVCI DS
C 11 = >!7F?
E -AC DEAA ADCA ACDB E
DEDAAEDBADADDBECBBDAEBDDAE
DC BDCABBE%9F4+KFL BD4AC !71A BBEBA2A BD
DABDE%9F4+
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57
2 0E-AABAACDED)ABDADEDE
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2 0DABA>A6E'ADCDBBDE?D
DAA=B7
2 0 ABA ADB B D E DC DAE BD A E BD
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CAAACACFAFAAFACAAEEAEA
1G
GI
GSV
DSI
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1 2 3 4
thV
maxGSV
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F .$2$!%2$6!$2B$ 2% $%
" D B DAE%9F4+ ' C^ BD DC
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di
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2 CBDDEDAEEEBDEB'A7
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CAAACACFAFAAFACAAEEAEA
:A
+ A BD A E DC E BD A EDA2 ED BD
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GGD
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RC
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dt
dV
.
−= >!71A?
m
DSthMiller g
IVV +=
>!711?
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6.2. BRDSon VR α= >!71:?
+ BD AD B'D DD EE CDB E BD A E BD CABB7
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AAAADAEABEEAEDBDAE
BD CABB EA 6 AA BD AE BDDCE B'-EE CABB KDL >AJA
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EEBAADAE'AAEEDABBDEB'-EECABB7$AAB
A BD EAAADB BD ADABA BA B'-EECABB
EAAEDEECABBA1A51D5B%9F4+7
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CAAACACFAFAAFACAAEEAEA
:1
GSV
DSR
DSonR
thV maxGSVV15≡
4AC!7117+BAEBDADB'DDDBDAEBDCABBK1:L7
EE !DBDBAAEDE2AA
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EDBDDDAEEABDADB'DDDEEEA
B EA DA BD ' D ADB DE B
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EED7+DE2AABDAEDA2DABA
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EDBDCADAB BD4AC !71:7/DEE A B
D DB E EDA EE E BD A CABB2 5 F E BD
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20 ).(2 thGScc VV
CI −=−
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5 F1E1A55 F:E1D57+CAADBABDEEABA
5/F > B AD &/F? E E- D DEA B E CA 2AA B
D!#2#1DBDAB!#2#:
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CAAACACFAFAAFACAAEEAEA
::
VVGS 101 =1ccI −
VVGS 152 =2ccI −
2DSonV1DSonV
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[BDBAAEBDDDA# />ABD4AC!7;?DCBDDEBDDDA
#/F7DBDADAEAEDA*AEABE
DADAEDCDADEBDDDAECABBACBDB
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2 AD'ABDBA>E81?7
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CAAACACFAFAAFACAAEEAEA
:D
fCVP issG ..2= >!71B?
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AABAE'DBDE%9F4+DEDAACDBE
DECDAE25BBA2ADDEDADAE
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GRccV+
ccV−V0
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DED B %9F4+ !&4JJ1F >R B;#? 1%8 A BA` E EA E
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:P
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E D DBA D E' DBAAD DAB K1PL EA
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:F
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A E B*AEA E A A ED B DQDC E
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:G
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AEOBABA-A7+BBEAAAA'BB
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CAAACACFAFAAFACAAEEAEA
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)(136.010
10.2.10.68.
6
312 A
dt
dVCI masseS
C === −−−
>!71D?
CI
4AC!71G7&DAEDDAEEDD
B*AEAE'DBADAAB7
!BDEDBAC'DEE'DBADAC
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( ACDB E DE ADB ED D D A CDA ED B'D
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• %-$ $%"
# BA E DBADA D AD D
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FF=:=F%2% ................................................................................................................. 48
FF='=E%0%.%%62$% $2$..%*H1$!2$!C% $
2D .!%*$C.......................................................................................... 48
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FDEAA......................................................................................................... 48
DEDABD>A21?........................................................... 52
9DAEDBDDEEA>12:?.................................................. 54
DEDAB'>:2;?............................................................. 57
B9DAEDBDDEBDC>;2B? ........................................................ 58
$DB ................................................................................................................................. 60
$DDCABBEBDBBBCAEBDDE
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A .................................................................................................................................... 61
FEDEEAAEAEBDE
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EE/AAEDDE'ABAA-EDA
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AEBACD-EDEBD#%9F
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B!DEBDDBDDDAAEEAEC ....................... 69
5DBAEDA-ADB ................................................................................................... 71
DAEAAAB ...................................................................... 71
/AAAEAAEDE ................................... 72
E#A-EEAEC........................................................................................ 72
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A-EDAED#%9F ....................................................................................... 72
EEE5AADAEEAA .................................................................... 75
&BD-AD-............................................................................................. 77
$DBEEAAEDED ...................................... 84
E.ABDCA................................................................................................... 84
EE#DDADA-ADB............................................................................ 86
B#DDAEBDBBBCAEDEDDBD
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FF=E=/!.0!.%D6$%22% $2.................................... 90
!CDAED#%9F................................................................................................ 91
&DBADAEDDE'ABAD>BAA
AADABDBDFA? ............................................................................................ 91
!CDAEDDEDAEDDDAE
B'AEAD ..................................................................................................................... 91
FF=F=%!% ................................................................................................................... 93
1%6$.* ....................................................................................................................... 95
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12 fZBRZ VV +
4AC!!7;7#DDAAAEDBEB'AFN7
!B D ED B MEAE CO ABA DABA BD
A7 + DBA B EAE EA C A E AB A
AAD5DEEADB'ECDEABBA
AEBDDCAD5EADB'E'DDBDK:L7
( A DE E BB DA B ABA E A
AACDADBADADAEDDDABD6DBAE
BD 6 E7 #BB2A E DC EDC A BD DDA
![Page 67: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/67.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
D1
E' E B'A E AD D E B E DCADA
EDCADADADEDDE*ABA7
$AA BAD-EABAACDADBABDCABBEDA
EEEADEBDAE*DBADAEB*EB#%9FDAAEAB
E*DDBDEEAE70ABDDCECABBBDBEAECA
DBDAAEABCABBEDAEAD7
(E'EABAAEACD-EDAEEAE
B'AEADABBBD4AC!!7BE
2 5 5 A B A D ADA D EDA E
DD7/DDE'E'ABDE
EADEDD7(DEDDAEη
Vp
Vs=η >!!71?
2 5CABDAD-EBDEAECA7
2 0BDABDADEBDCABB& BBECABB
E%9F4+7
2 5 FBDABDCABBBDE%9F4+7
2 ! BDEBDCABBE%9F4+7
2 α BDBA7
(DE AE BB BCAE DE D
-BAEDABEDBDAAD7 !B DE'DEED
BDEADB'DAEDABBDADE
AAEBDCABBAD
21 ZZ VVVsUt −+= >!!7:?
![Page 68: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/68.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
D:
Vp
1ZV
2BRZV
2fZV−
2ZV
UtSGV
GI
t
E+
E−
1BRZV
1fZV−t
t
t
t
0t 1t 2t 3t 4t
1V
2V
211 . BRZfZ VVEV −−=η
212 . fZBRZ VVEV ++−= η
4AC!!7B7(E'ECDBDBADAAEEEDC7
/*$!2% $%H$C @(-:D
!AADB B DA E AD %9F4+ B*D B
DDBA7(AEDAABDADAEDDEDBD
DEDABDBD4AC!!7D7
![Page 69: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/69.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
D;
4AC!!7D7DEDABD7
ED BD D E DA BD E DA E AD B
DA 1 ": DE EA 6 B D E =
ADAE DDABDAE BD[+AD B%9F1 B'B
ADAEDDE'ABAAB"%9F":*BDD7(DA
1":EAEDEB'EEBDA
DE A EE E DA DC A BD DC E BD
DDAE'E%9F4+EADDE7/DAABA
E A AA E DB [+ D ADA E DD BD A D
EDADE E.η+ 7$AA BDEAECC:DEDCAE'DDBD
DEABDEAECC1BDAEA7
(DA0EDE6EEAEB'DA>!!7;?
21. BRZfZ VVEUt −−=η >!!7;?
(*BAEBDABDCABBBD5 FAEEEA
DB'DA>!!7B?7+BBDCDBADBDEDCEBD[+
BDDDAE'E%9F4+7
)(.)( tIRUttV GGGS −= >!!7B?
FABDEEB*ABAA@1ADCDEBDABDCABBBD
5 FDADDBD-ADB6DBBDB'DA>!!7D?7
211max . BRZfZGS VVEVUtV −−=== η >!!7D?
9 D CDDA B AD E A D-ADB BD CABB E
DA E AD BD E E B'ABA E A >12A? EA 6 CDB
![Page 70: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/70.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
DB
A BD D E E DC E BD DDA E' E DA E
AD7FAEAABDAEDCDDDA
DABAADEADDEAEABCABBE
DEAD7
.$%.2$$.*$!2%2%@:-'D
$ B*AD : DE D 6 DBA A AB B D
ADAEDDDDAEB*EDEB*EB7(AE
DE=ADAEDDEDDABBBD4AC!!7J
>D?7+B*CAEDCADAEDDAAAED
E* E B*DE DD7 # B D B BA BD ABDA D
EDAEAABDEBDCEB*AFN7!BABDBAD
BDDBE%9F:EDB AAAD B%9F17 !BDBE-
%9F1:DEDAE'ABDEDCADAB
D BD EAE A E %9F : D E A D ADA B
ADACEEAEADBBB
BA7 9 EA D D E BA ED BDBB BD
EDCADADBBEDDDBA7+AEBDEEBDD>:2
1? E DDAA E DD BD EDCADA E DD
DABB B7" B BA DCA AD CDDA BD
EDCADABEDDDABAEDE7
![Page 71: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/71.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
DD
E+
1_PdsONR 2_PdsONR
LmI
Lm
Rp
>D? >?
4AC!!7J7>D?ADEDAAE5 FEEDCADADABBDB
>?FDBAADBABAA7
(D4AC!!7J>?BDBAADBABAAEDBDD
E BA( B'AEDDCADE DD& BDADE
B'B ADA E DD &E9"f1 &E9"f: A B
ADB'DDDE%9F4+1:7+BEBDDEDA
BDEB'EB'ABAEAAA[+EDB
>12A?BDEDB'AEDDCADDDADDBADB!(>1?
B B'DA >!!7J? BD 4AC !!7P @ BD DA E ABAADA DA
B' B'AED DCAD DA DB EDC D E E
D
Lm
ttEtI Lm
)01.()1(
−= >!!7J?
![Page 72: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/72.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
DJ
LmI
t
0t 1t 2t 3t 4t
Vp
t
E+
E−
1I∆
2I∆
≈ ≈ ≈ ≈
≈ ≈
)3(tVp
)1(tVp
4AC!!7P74E'EEDDCADEBDADADA
EDD>α DAB?7
+BDDEBAEBB'ABAEA'DB7
(D ABDA E D D ADA AEA A CDA D ADA E
DDADBBDB'DA>!!7P?A2E
)).(1()1( 2_1_ RpRRtItVp PdsONPdsONLm ++−= >!!7P?
RpRR
Lm
PdsONPdsON ++=
2_1_
τ >!!7F?
# A CDA D ADA E DD EE E AADB
E'DEBDAE*DBADAEBDEEB*ABAEDEE*D
DEDBE B'AEDDCADE DDE AD B'D
DDEDA1:7+ABACDAEBD
DB Vp.η− DDD)DEDAEDD7
DADEDEEBDCABB! ADABDBAD
B'DDDE%9F1E:AADA7/DABDDE
τ EBDDEEDCADADBBADBBDB'DA>!!7F?
D8CDEBDEDB'AEDDCADEAAAE
EDBDDEBAEAAADB 1I∆ 7
![Page 73: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/73.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
DP
/ = EDA E DD DAD B* BD A 5
CBACDB B*DA E DABB A B BDC E BD EAE C C17 ( D D
EDAEDDEAEEAEC17(DA5 F>?EBDDB
5 FD-DBDDABDE)AEDEA
ASE BDADEBBENABB2A7/DD BDEAE
CC:BCBDAEA7
B AE DV AB D BD A
DBDEAEC1AABAADAE*DDBD7FAA
ADBACEEEABEBDEAEBDEADADEBD
CABBEDADDABBBD4AC!!7F6DBDEDCEBD
DDAE'E%9F4+7DABDA5 FD-ABABD
A 5.&C1 B*AD E*AAADBADA E BD D E BA D DA D
E'DDBD EAE A D EDC DABB E BD CABB 'D
DADAB*DA>!!7G?AD7
12 BRZfZGS VVsVV <−− >!!7G?
ED D BD DC E BD DDA E' E%9F4+E AD
DABBEAABCAEADBAAEBDCABB>BEAE
CBDADEBDCABB& ?DAADBDADEBB2EN&E'ABD7
+BDAEBDCABBEAABCEDD7
ZV
ZI
fZVBRZV
4AC!!7F7#DDAAE*EAECDDBD7
/*$!2% $%HD%0@'-ED
(D 4AC !!7G B A E D ED BD D E DA
B'EDAEAD7AAADBEDEB*EB
![Page 74: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/74.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
DF
#%9F7(DA:"1DBEADEAB1"1
B7/ =ADAE DD B D AB DA E [+AD B
%9F : A AD B'B ADA E DD A AD B "%9F ":
'BDD7/DAABAEACDA@+DADAE
DD7 9 D B* ABA D E CDB BB E
B'ABA AA ABA ED BD D E DA BD ED B
E'DDDA AEAB DBA CDDA BDEDCADAE
DDCADBA7DBDEAECC1BDAA
ACAE'DDBDDEABDEAECC:BDAEA7
4AC!!7G7DEDAB'7
(DA0BDABDCABBBDDBBA
21. fZBRZ VVEUt ++−= η >!!71A?
)(.)( tIRUttV GGGS += >!!711?
(DAEBDCABBEAAAEEACDADE*
D E CABB CDA A BD EDC A B*AA E BDA E BD
DDA E' E %9F4+ E AD7 ( BD D E EDC AA BD
A5 FDADDBAADBACDADBBDB'DA>!!71:?7
212min . fZBRZGS VVEVUtV ++−=== η >!!71:?
B .$%.2$$.*$!21%$6@E-FD
(D4AC!!71A>D?ABBBAEDBDDEBDCE%9F4+
EAD7(DDADAEDDABEDBD6EAA
![Page 75: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/75.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
DG
BB ED BD D E DA B' EA E7 !B
ED B CDAED B'AEDDCADE DD7# D AB
AD B%9F1D BDDBED B AA B%9F:E-%9F4+
DADEEAEDBDD>:21?7#DDA
AE DE BA D AEA BA E BD
DEBAADBAEDB'DDD>12:?DDBAADB
BD4AC!!71A>?7
E+
1_PdsONR 2_PdsONR
LmI
Lm
Rp
>D? >?
4AC!!71A7>D?FEDEDAAE5 FEEDCADADABBDB
>?FDBAADBABAA7
ED BD D E E DA B* B D ED
B'AEDDCAD*AEACDAB'EB'ABAEA
CDA@+EDB>;2:?DDBD;6DBDB'DA
>!!71;?EDBDBB 1I∆ BDEDDCADEDB>12:?
C^BDEDCADADBB>ABD4AC!!7P?7
Lm
ttEItItI LmLm
)23.(1)1()3(
−−∆−= >!!71;?
+AAADDDD)DADAEDDD
DB6DBBDB'DA>!!71B?
)).(3()3( 2_1_ RpRRtItVp PdsONPdsONLm ++= >!!71B?
/D BD D EDAA D BDC E%9F4+ E AD B D ED
B'AED DCAD EAA DB DB A E D
DEτ CDBBBEDBDDEEA>:21?BDEAAABDA
EDDB 2I∆ 7
![Page 76: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/76.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
JA
EDDBDAEBDCABBDCDABDEAECC1E
BDADAEA7#*BDEAECC:A6BDABDAEDEBD
EDCEBDCABB7BDABDDAE*DDBDAADB
DB BD A D AD E BD CABB E DA E AD
EDBDEAAED>!!71D?
21 BRZGSfZ VVVVs <−− >!!71D?
/DEAA BDEAECC: AEDBCAEBDADA
ADDEAADEBDEAEAAE BDCABB BD
AAAEDAE'DDBD7
( E AA E BD CABB ED B'D B AABDA BA
ED B'DDD BD DDAE'E%9F4+EADEDCD B
AAEBDCABBADBDADBB2EN&EBDAEBDCABBEAADB
DBAE7(BEDADBD7
$B!
0$$6! C%%! !! 2 $ %0 %.%%6 2 $
% $2$..%*
(D BB BCA E DE D A2E B DDDC
ADEAE'ACDAEADBA
2 #D BD A E DD E'ABA BD DABB E BA2A
AAAEEAEBDA[+EBDEEB'ABA>12
A?>;2:?7#EDBEB'EBDA
DE BB EED E BD DABB E DA E AD
DEEBDADECABBDBDDEEDCE
CABB7$AAEA>Ag?6AAE'ABA
ADDE'ABADAEDABBEA7/DB
DE E* ACDA BAA A ADC E'AC
DD E'ABA EA ABAA K;L ABA
DDE'ABADDDBAA#.KBLDAEDA
![Page 77: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/77.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
J1
E DE B D7 # D 6 DA ED B
DA!5E7
2 (D#%9FE=ADAEDDDBACDB79
DB ADC E DA AC A A E BBB
BDAD#%9FDAEDEBDBADA
BA DA BB B EB AD B E A
BDBAAD-7"DB*DAE*DEBDEDB
DAAA7
2 ( DE= EDAE DD EEAECA
ABTADBDS7DDABBDA
ADCE B ACDAE B'AEADABAA BD
ATEBDDE7#BDDDEBBAEDDA7
2 #EDACDBEDEDBDCCD
E D BA D BA2A 'D D BD DDA E DD
DADEABDADEDDE'ABAABAA
BDBAA7D>4AC!7:B?7
2 +BB ABA DBADA ABDA ACDB E DE
ABDA D A E CABB CDA ED B'D B D
E'DB'D2BAEDCEDEADDE7
2 +BBDABDEDBADAEEDCB7
B6$% 2 0$ 2 !% 2 % $2 2$! ! .*$!! 2
C%%
" D A A2E BB BCA E DE
DDDBEDAACDBEDEABDADAE'DBADA
ABDA7DDABBDBB'BBACDBEDED
D AD- E A E BD CABB ED D D E A A
ABBDBD4AC!!711>?7
![Page 78: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/78.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
J:
t
Vp
E−
2BRZVminGSV
maxGSV GSV
1BRZV
E+
t
Vp
E−
2BRZV
minGSV
maxGSVGSV
1BRZV
E+
>D? >?
4AC!!7117FACDBEDEABDADAD-7
( DA >!!7D? >!!71:?EEA B DBD-ADB
AADBE BD AE BDCABBED BDEDA BD
B'7EDB'DDDBADEAEBDCABBBAADBDA
E'DDBDEBDEAECC15.&C1DEAEDB'DBBA2ABAA
D BD A E'DDBD E BD EAE C C: 5.&C:7 / DA D
EADDEEAAEEAECDAACDB
EDEABDAE-AD-DAD-EAEA7(D4AC
!!711 >D? ABB BA DED BB BDDBE BD A5 FD- AA BD
AE'DDBDEBDEAEC15.&C1BDDBEBDA5 FADAAA
BD AE'DDBDE BDEAEC:5.&C: DB DB7(D AE BDCABBD
EE-AD->5 FD-5 FA?7(D4AC!!711>?ABBBE-ADZD
5 FD-Y5.&C1 2min BRZGS VV > BD AE BD CABB DDAD-ED D7"
DEA5 FD-CDEDADADAEEDBDDE
AAEBDCABBEA5.&C1EDBDDEDAAB*D
DDEDAEADW#A6DDDC-DBDEEAB
DE2AADEEDDDEEDBDA!7
0 D D AD BD AABA E BAA BD A A-
DEDA CA AE2AA7/DD D BD
EEB*ABAABABEEBBDDBADBEBDA
![Page 79: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/79.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
J;
CABBEDAEADAABBDBD4AC!!71:7FAC
D
2 8 BD E E ED BDBB BD A E BD CABB DA D DB
D-ADB7
2 N1N:N;BEEABAEADEDAEDD7
2 5 F>N1? 5 F>N:? 5 F>N;? B E A E BD CABB A E BD
EEABA7
t
Vp)1(wVGS
1BRZV
E+)2(wVGS
)3(wVGS
1w
2w
3w
z
maxGSV
4AC!!71:7&CBDAEAD-EAECABB7
+CDEDBD4AC!!71:DEN1EB'ABA5BDAEBD
CABB DA D DB D-ADB DD BD A E B'ABA7 + EAAD BD E E
B'ABAEN1N:N;DBADEAEBDCABBED
BDDEDAAEDB'DDD7#ADBADA6
AB BD CA E B'CA D E DC DADB Z AB DA E
DAA AD E BDADA EA 6 AA E D
DE2AADA7
![Page 80: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/80.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
JB
B*?! 2! $.! 2 2 !% 2 %.% 2 $
!2% $2
( D E A EAA E AA E DE
E-DA
E #A-EBDAE'DBADA[+BD#%9FA-
EAEABEEAECC1C:
(D A DA E A A D- A- E BD DB 6 6 E BD
A$#DBDAEDDED#%9FEAEAB
EEAECC1C:D-2AADBAD-EAEBDCABB
ED B D E A7 + A E DBADA A A E
AD-ADB AADBE BD CABB EA E D E DDAη
EAAEEAECAABDAE'DBADA+C^
E-DAA2EADADDBDB
21max . BRZfZGS VVEV −−=η >!!71J?
21min . fZBRZGS VVEV ++−= η >!!71P?
EE /AA E DD E'ABA A- E
DAED#%9F
( DD E'ABA D E'D ABDA CDBDA
D ACDBEDE BDD B DAEADA
D6D6ABE7!BEADAAAD
DDDAEAEBAEAED ADDE BDCABBE
DAEAD7 !B DA 6ABA DC B'BBE A B
ADABEDA>DEDDAADA?7!BEAAABDA
BAADBADABEDA7
(D A E DD E'ABA DDB BB E'
DDEAD BA B DD E ED B
EAEDBDBD!!717
![Page 81: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/81.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
JD
DDBDAEDDE'ABA
2 A
2 &DEDDA
2 EAAg+g>5gE?
2 AD
2 "ADE'ABDA
2 DEA
DBD!!717DDABDAEDDE'ABA7
DA B DD BA A2E DBA DA B EA
>Ag?+g5gEABEAEBDAEB'ABADBDEE
BB2ADBADDDE'ABA7(D4AC!!71;BDE'E
CA D E D ED B'AED DCAD A E D
BAα 7 ED B'ABA AA [+ DBA ED B UU BD
EA E B- DA E' DB UE.U DA .D- AA7 ( ABA
'DBBDBDABDDEUBAUDEBA
B BEAAEBDEEDCADADBB7( B-
DCA D ED B D A EE E D BADA DA E BD
EEDC AB DEAA 'D 8 A BD DEEDCADA
DBBADBC7FAABACDA@+DBAED
DA CDB UU A B B-7 #BB2A D E EDCA
BBDADDBDDAABAAABDEAEB-DA
DAE'DBE.BBDB.ACDA7+AED
BA E-DB.D-.A EA B BD4AC !!71;
EDBDE 5.0<α 5.0=α 5.0>α 7"EDBDE 5.0=α DBD
ABB ABADA E D A D B A E BD EA E B- B A
AD7 $A E D D B D A E DD E'ABA B
EAEB-.A.D-EADEDBDEAEB-D-ADBED
A DB DB7 /'Z B EA >Ag? +g A DDA BD DABB
DEAABEDABDDABBEDDE'ABA7
![Page 82: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/82.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
JJ
Vp
E−
dB
E+
maxB
Vp
E−
dB
E+
t t
maxB
Vp
E−
dB
E+
t
maxB
α
minB
minB
α
minBα
5.0<α
5.0=α
5.0>α
4AC!!71;7(DE'EEDEDB'AEDDCADAE
DBA7
(DADEBDAAAA BDABA2AEDA
DA CDE DABA D-AA B'AED DCAD AAA
B'AED E A E DD7 0 A B D A AA
ABEADBDB>!!71F?E
2 ""EADADADEDA7
2 .D-BDEAEB-B*AEAD-ADBDEAABED>BD?7
2 $DBDAED>h?7
noyauAB
tENp
.max
.= >!!71F?
4ADB A BD DB E B'AED DCAD E
DDDBDB>!!71G?D$(ABDE'AEDEDA
![Page 83: Circuit g©n©rique de commandes rapproch©es pour l'©lectronique de puissance](https://reader037.vdocument.in/reader037/viewer/2022090905/613c8efba9aa48668d4a480e/html5/thumbnails/83.jpg)
CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
JP
2* NpALm L= >!!71G?
!B D E A DB E B'AED DCAD E
DD E'ABA B AD B'D DD E %9F 1 : D
DDADBDBEBDADADAEDDDE
ED BD D E BA BD D E EDCADA DBB7 !B D
DBADADDABBAAEBDCABBED
BDEDAAB'DDDB'DB7#BDADADA
E DDDEE BDDE BAED BDDEDAA B'D
DDE%9F4+EADDBBDBDBAD
).( 2_1_max RpRRIVp PdsONPdsONLm ++−= >!!7:A?
"DBAEADADADBBDEAA>!!7G?*22EA
12 . BRZfZGS VVpVV <−− η
(DADADAEDDDEEBDDEBAEDBD
DEDAAB'DBE%9F4+EADDBB
).( 2_1_min RpRRIVp PdsONPdsONLm ++= >!!7:1?
#AEADADADBBDEAA>!!71D?'22EA
21. BRZGSfZ VVVVp <−−η >!!7::?
/DBE-DBD maxLI minLI EAA
EDBDBBAA*22EABEAEB-.D-.AD-ADB
DBDBBDDE'ABAADDABBEDBDC
EABDBCDEAB7
Lm
ttEII LmLm
)01.(minmax
−== >!!7:;?
!%2! .! %!!!6$A2% $2.%!1$!
<!% .$
(DAE'DDBA2EBACDBEAAE
DED7+DBABEBDDEDCEEDCEBDCABBE
DAEADABDDAEDCQEDBDEAECC1A
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
JF
EAEAEDBDDEDABDDDA
E DC D Q ED BD EAE C C: A CDB EA EA
ED BD D E DA B'7 # DC 6 DBB
EQEBABAEA'DBDADAEDD7#
EA M E BD EAEO D D AD E AA E BD CABB B
D E E EDC BD CABB A EA EAA
ABBDADADEBDCABB7(D4AC!!71B>D?ABBB
EBDDABDEDAEADWRBDDAE
DC EQ ED BD EAE C C1 A DA BDA EA ED
B'DBADAEB'ABA[+DADAEDDW 1V∆ BDE
AEBDCABBDEDE7
E+
GI
1V∆ 2V∆2V∆
Qrr Qrr QrrmaxLmI−
VpGSV
1Vp2Vp DT DT
)(a )(b )(c
4AC!!71B7&EAEEAE7
>D?FDDDAB>?CDBDEEQDCE
DC>?ADEEQDCEDC
"AEABACDBEDEB%9F
:BAB"%9F":DD BDAEBDDEBA7ED
B"%9F": B%9F:B DEAB%9F1
DDBEDAADBBDAD-E%9F:7/DABA2A
B B D DCAD AB DB D EDA ' B A D CDA
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
JG
>4AC !!71B? E BD DB maxLmI− A D ED EDC BD DDA E BD CABB7 (D
EAECC:ADADDBDEADDBDEAECC1AEADAD
EDCQDADED8EAAEDAA
E BD A7 + D E- A D 6
ED D B E BD DC Q D EQDC AD D
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/ DA A B AD BC BD ADA A B
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CDBDDAEQBDCRDB'EADA7
/AABDEDBD4AC!!71B>?ZB/A
EEQDC7/BDDAEDCREQBBDCEBDEAE
C C1 ' BB2A A BD A E BD CABB B EDA 'A B BD
ADADAEDDBDDCADABDBDADAAD
BDEAEAAE%9F:AB%9F17#'DABDDEBADA
BDACDADADAEDDBADEDDBB
DA BD E BD A E BD AD E B'B ADA B BD E
ADBDEAEAAE:BBDEADBDAD
B'DDDE17#5:ABCDE51DBDD
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B D DA B A- E EAE C C1 C: B A22A E
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
PA
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DA B DCE BD DDAA7( BDE ABDA
4AC!!71DADBAD7
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4AC!!71J7FDEDAEAAEDED7
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B DA >!!7D? >!!71:? AA BD E A EA EEAE
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EE #ADDADAEDDE'ABAD
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2 &BDADEB'BEDA7
2 (B'AEDEA7
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
PB
10 100 1 103× 1 10
4× 1 105× 1 10
6× 1 107× 1 10
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DD7+DBEDEDDADAE'
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EABDD-ADBAADBEDB'AEDDCADB
EB'DBADAEABAEA7"BD-6ZBDED
B'AEDDCADAAADBA8DDE'DBAABA7
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
PD
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10*500*14)01.(6
9
max ALm
ttEI Lm ==−= −
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10*500*14)01.(6
9
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
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DEDAAB'DDDE%9F4+EADADBB
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
PP
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12
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
PG
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!!7:;>?BDADABEDDAE7(DDCAD
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EN7"DAABDAAEDEADEEAEC
DE BD ADBB2EN7D -B B DE AA ABED BD
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)(19610*56
113
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VI GS
Rd ===
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DA BD DDA7/D DE B'ABAE ADADA 'DB BD
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
FA
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)(3.57.0162221min VVVEV fZBRZGS −=++−=++−=
"DDA AEAE;AAED BBB
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43
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VI GS
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ABDEAAA:E$AABEDBDEAEC
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
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5 >1A5]EA?
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5 >D5]EA?5 F>D5]EA?
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
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5 F>D5]EA?
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5 >1A5]EA?
4AC!!7::74E'EEAAEBDCABB7
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
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5 F>D5]EA?
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CAAA.4EEAEAFAECACFACAADCAFACCAF"EA
FD
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2 1ZP BEDBDEAECC17
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FFF=)=%!%................................................................................................................ 115
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0 50 100 150 200 250 300-6
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CAAA'ECAFACEAFAECAAFACFAA
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