$6LPSOH3:0VFKHPHIRUDIRXUOHYHOGXDOLQYHUWHUIHGRSHQHQG
ZLQGLQJILYHSKDVHPRWRUGULYH
I N W Satiawan *, I B F Citarsa*, I K Wiryajati*
*(OHFWULFDO'HSDUWPHQW)DFXOW\RI(QJLQHHULQJ0DWDUDP8QLYHUVLW\0DWDUDP:HVW1XVD7HQJJDUD,QGRQHVLD
QZDK\XV#\DKRRFRP
.H\ZRUGVGXDOLQYHUWHUIHGRSHQHQGZLQGLQJ2H:ILYH
SKDVHPRWRUGULYHPRGXODWLRQLQGH[
$EVWUDFW
$VLPSOH3:0VFKHPH IRUDIRXUOHYHOGXDOLQYHUWHUIHG
RSHQHQGZLQGLQJ2H:ILYHSKDVHPRWRUGULYHLVGLVFXVVHG
LQ WKLV SDSHU 7KH SURSRVHG 3:0 VFKHPH DGDSWV WKH
GHFRPSRVLWLRQ 3:0 VFKHPH RI GXDOLQYHUWHU IHG ILYHSKDVH
GULYH ZLWK HTXDO '&OLQN YROWDJH 7KH PRGXODWLRQ VWUDWHJ\
RSHUDWHV DW WKUHH GLIIHUHQW PRGHV DFFRUGLQJ WR PRGXODWLRQ
LQGH[ M :KHQ PRGXODWLRQ LQGH[ M ! LQYHUWHU
RSHUDWHV DW IXQGDPHQWDO IUHTXHQF\ ZKLOH LQYHUWHU RSHUDWHV
LQ 3:0 PRGH:KHQ M RQO\LQYHUWHURSHUDWHVLQ
3:0PRGHZKLOHLQYHUWHULVORFNHGDW]HURVZLWFKLQJVWDWH
RU 7KH SURSRVHG 3:0 VFKHPHV LV YHULILHG
XVLQJ 0DWODEVLPXOLQN 7KH UHVXOWV VKRZ WKDW WKH TXDOLW\ RI
WKHRXWSXWYROWDJHVLPSURYHVLQFRPSDULVRQ ZLWKWKHYROWDJH
RXWSXWRIWKUHHOHYHOLQYHUWHU IRUDOOPRGXODWLRQLQGLFHV7KH
LQYHUWHU SHUIRUPDQFH LV DOVR LPSURYHG FRPSDUHG WR WKH
SUHYLRXVIRXUOHYHO3:0VFKHPH8563:0HVSHFLDO\IRU
M!ZKLOHIRUMWKHSHUIRUPDQFHLVH[DFWO\WKH
VDPHDVWKHIRXUOHYHO8563:0VFKHPH2QHGUDZEDFNRI
WKH SURSRVHG 3:0 VFKHPH LV WKDW DQ DGGLWLRQDO FLUFXLW LV
UHTXLUHG WR UHGXFH WKH '&OLQN YROWDJH RI LQYHUWHU DW WKH
SDUWLFXODUVSHHGUDQJHVRIM
,QWURGXFWLRQ
0XOWLOHYHO LQYHUWHUV KDYH EHHQ LQWHQVLYHO\ VWXGLHG RYHU
GHFDGHV ZLWK SDUWLFXODU REMHFWLYHV WR LPSURYH WKH FRQYHUWHU
SHUIRUPDQFH DV ZHOO DV WR LQFUHDVH WKH SRZHU UDWLQJ RI
LQYHUWHU KHQFH LW LV VXLWDEOH IRU PHGLXPKLJK SRZHU
DSSOLFDWLRQ GULYHV 9DULRXV WRSRORJ\ RI PXOWLOHYHO LQYHUWHU
0/,KDVEHHQGHYHORSHGLQFOXGHWKHQHXWUDOSRLQWFODPSHG
13&WKHIO\LQJFDSDFLWRU)&DQGWKHFDVFDGHGFRQYHUWHUV
>@/DWHO\DGXDOLQYHUWHUIHGRSHQHQGZLQGLQJ2H: FRQILJXUDWLRQ ZDV LQWUXGXFHG LQ E\ 6WHPPOHU DQG
*XJJHQEDFK ,Q WKH 2H: VWUXFWXUH WKH QHXWUDO SRLQW RI
PDFKLQHLVRSHQDOORZLQJWKH PDFKLQHLVIHGIURPERWKHQG
XVLQJWZRLQYHUWHUV>@
6SDFH YHFWRU 3:0 693:0 VFKHPHV IRU WKH GXDO
LQYHUWHU IHG 2H: WKUHHSKDVH PRWRU GULYHV KDYH EHHQ
PDVLYHO\ LQYHVWLJDWHG LQ WKH ODVW WZR GHFDGHV 0RVW RI WKH
VFKHPHV DUH GHYHORSHG IRU LPSURYLQJ WKH RXWSXW YROWDJH
TXDOLW\ UHGXFLQJ WKH FRQYHUWHUV ORVVHV DQG GHYHORSPHQW RI
VLPSOHUPRGXODWLRQVWUDWHJLHV>@7KHVWUXFWXUHPD\FRQVLVW
RIWZRWZROHYHOLQYHUWHUVRUFRPELQDWLRQRI PXOWLOHYHO DQG
WZROHYHOLQYHUWHUZLWKYDULRXVUDWLRRI'&OLQNYROWDJH>@
+RZHYHU LQ FRQMXQFWLRQ ZLWK PXOWLSKDVH PDFKLQH GULYHV
GHYHORSPHQWRI3:0VFKHPHVIRUGXDOLQYHUWHUIHGVWUXFWXUH
SUHVHQWV D FRQVLGHUDEOH FKDOOHQJH GXH WR WKH H[LVWHQF\ RI
KXJHQXPEHURIYROWDJHYHFWRUVZKLFKDUHPDSSHGLQPXOWLSOH
WZRGLPHQWLRQDO SODQHV ,Q DGGLWLRQ WKH EHKDYLRU RI PXOWL
SKDVH PDFKLQH LV GLIIHUHQW DV WKH WKUHHSKDVH PDFKLQH ,Q D
ILYHSKDVH PDFKLQH ZLWK QHDUO\ VLQXVRLGDO PDJQHWRPRWLYH
IRUFH RQO\ KDUPRQLFV FRPSRQHQWV PDSSHG LQ Į-ȕ SODQH DUH
DEOHWRGHYHORSXVHIXOWRUTXHZKLOHWKHKDUPRQLFVPDSSHGLQ
xySODQHUHODWHWRWKHPRWRUORVVHVFRSSHUORVVHVDQGIULFWLRQ
ORVVHV 7KH GHYHORSPHQWRI D 3:0 VWUDWHJ\ PXVW WKHUHIRUH
VLPXOWDQHRXVO\ FRQVLGHU ERWK ' VXEVSDFHV >@ 7KLV IDFW
IXUWKHULQFUHDVH WKH FRPSOH[LW\LQWKH GHYHORSPHQW RI 3:0
VFKHPH DQG WKH DYDLODEOH 3:0 VFKHPHV IRU WKUHHSKDVH
GULYHV FDQQRW GLUHFWO\ EH DSSOLHG IRU ILYHSKDVH PDFKLQH
GULYHV
)LJ VKRZV WKH VLPSOLILHG GLDJUDP RI GXDOLQYHUWHU IHG
2H: ILYHSKDVH PRWRU GULYHV7ZROHYHO ILYHSKDVH LQYHUWHU
FDQ JHQHUDWH YROWDJH VSDFH YHFWRUV LQ WZR WZR
GLPHQVLRQDO SODQHV DV VKRZQ LQ )LJ ,Q WKH GXDOLQYHUWHU
IHG VWUXFWXUH ZKHQ WZR WZROHYHO ILYHSKDVH LQYHUWHU DUH
DSSOLHGFRPELQDWLRQRIWKH[VZLWFKLQJVWDWHVUHVXOWVLQ
VZLWFKLQJ VWDWHV 7KH QXPEHU RI YROWDJH VSDFH YHFWRUV
GHSHQGVRQWKHUDWLRRI'&OLQNYROWDJH:KHQHTXDOUDWLRRI
'&OLQNYROWDJHLVDSSOLHGWKHVZLWFKLQJVWDWHVPDSSHG
LQVSDFHYHFWRUORFDWLRQV>@:KLOHZKHQUDWLR'&OLQN
YROWDJHRILVDSSOLHGWKLVVWUXFWXUHSURGXFHVYROWDJH
VSDFHYHFWRUVLQERWKĮ-ȕ DQG xySODQHV'LVWULEXWLRQRIWKH
YROWDJHVSDFHYHFWRUVLQĮ-ȕSODQHIRUERWKHTXDODQG'&OLQN
UDWLR RI DUH VKRZQ LQ )LJ DQG )LJ UHVSHFWLYHO\
'LVWULEXWLRQRIYROWDJHVSDFHYHFWRUVLQWKHxySODQHVDUHWKH
VDPHDVLQWKHĮȕSODQHKHQFHWKH\DUHQRWVKRZQ
,WLVVKRZQIURP)LJDQG)LJWKDWWKHGLVWULEXWLRQRI
WKH YROWDJH VSDFH YHFWRUV IRUPHG D WKUHHOHYHO DQG D IRXU
OHYHOYROWDJHVSDFHYHFWRUVVLQJOHVLGHGVXSSO\GULYH
A
B
C
D
E
A
B
C
D
E
N N
N
vN
vdc vdc
vbs
vdses
v vas
vcs
)LJ7KHVLPSOLILHGWRSRORJ\RIWKHGXDOWZROHYHOLQYHUWHU IHGDILYHSKDVHRSHQHQGZLQGLQJPRWRUGULYH
D
E
)LJ7ZROHYHOILYHSKDVH96,VSDFHYHFWRUVLQWKHD-EDQG
x-y SODQHV
-0.6 -0.4 -0.2 0 0.2 0.4 0.6
-0.6 -0.4 -0.2 0 0.2 0.4 0.6
Maping of voltage vectors for equal DC-link ratio in D-E plane
D-axis (p.u.)
E-axis (p.u.)
)LJ9ROWDJHVSDFHYHFWRUVGLVWULEXWLRQRIDGXDOLQYHUWHU
IHG2H:SKDVHGULYHZLWKHTXDO'&OLQNYROWDJHLQWKHĮȕ
SODQH
-0.6 -0.4 -0.2 0 0.2 0.4 0.6
-0.6 -0.4 -0.2 0 0.2 0.4 0.6
Maping of voltage vectors for DC-link ratio of 2:1 in D-E plane
D-axis (p.u.)
E-axis (p.u.)
)LJ9ROWDJHVSDFHYHFWRUVGLVWULEXWLRQRIDGXDOLQYHUWHU IHG2H:SKDVHGULYHZLWK'&OLQNYROWDJHUDWLRRILQ
WKHĮȕSODQH
HTXLYDOHQW IRU HTXDO DQG UDWLR '&OLQN YROWDJH RI
UHVSHFWLYHO\ :KHQ HTXDO '&OLQN LV DSSOLHG WKH YROWDJH
VSDFHYHFWRUVFRQVLVWRIKLJKO\UHGXQGDQWYHFWRUVUHGXQGDQW
YHFWRUV DUH WKH YHFWRUV WKDW DUH IRUPHG E\ PRUH WKDQ RQH
VZLWFKLQJVWDWHVFRPELQDWLRQZKLOHZKHQUDWLR'&OLQNRI
LVDSSOLHGWKHYROWDJHYHFWRUVDUHGLVWULEXWHGPRUHVSUHDGO\
$V IDU DV WKH 693:0 VFKHPH LQ FRQFHUQ WKH
GHYHORSPHQW RI VLXWDEOH 3:0 VFKHPHV IRUWKH GXDOLQYHUWHU
IHG 2H: ILYHSKDVH GULYHV LV FRQVLGHUDEO\ GLIILFXOW ,W LV
WKHUHIRUH WKH H[LVWLQJ 3:0 VFKHPHV DUH GHYHORSHG E\
VSOLWLQJ WKH YROWDJH UHIHUHQFHV DQG WKHQ DSSO\LQJ WKH FDUULHU
EDVHG 3:0 PHWKRG IRU HDFK LQYHUWHU >@ )XUWKHUPRUH
ZKHQ XQHTXDO '&OLQN YROWDJH LV DSSOLHG WKH SRVVLELOLW\ RI
WKHWZRLQYHUWHUVRSHUDWHLQXQEDODQFHFRQGLWLRQ LQFUHDVHVDV
D UHVXOW RI WKH RYHUFKDUJHG RI FDSDFLWRU '&OLQN YROWDJH RI
RQHLQYHUWHU,WLVWKHUHIRUHKHQFHDQDGGLWLRQDOFRQFLGHUDWLRQ
PXVWEHWDNHQLQWKHGHYHORSPHQWRI3:0VFKHPH
7KLVSDSHUSURSRVHVDQHZ3:0VWUDWHJ\RI DIRXUOHYHO
GXDOLQYHUWHU IHG 2H: ILYHSKDVH GULYH 7KH GHYHORSHG
3:0 VFKHPH DGDSWV WKH GHFRPSRVLWLRQ 3:0 PHWKRG >
@ZKLFKRSHUDWHVRQHLQYHUWHUDWIXQGDPHQWDOIUHTXHQF\DQG
DQRWKHULQYHUWHULQ30:PRGH7KHQHFHVVDU\DGMXVWPHQWLV
PDGHWRLQFUHDVHLQYHUWHUSHUIRUPDQFH7KHSURSRVHG3:0
VFKHPH LV YHULILHG XVLQJ 0$7/$% DQG WKH SHUIRUPDQFH LV
FRPSDUHG ZLWK WKH H[LVWLQJ 3:0 PHWKRGV 7KH SURSRVHG
3:0PHWKRGLVH[SODLQHGGHWDLO\LQ6HFWLRQ
([LVWLQJ3:0PHWKRGVRIIRXUOHYHOGXDOIHG
2H:PRWRUGULYH
3ULRU WR GLVFXVVLQJ WKH SURSRVHG 3:0 VFKHPH WKH
H[LVWLQJ 3:0 PHWKRGV IRU D IRXUOHYHO GXDOLQYHUWHU IHG
2H: ILYHSKDVH PRWRU GULYH DUH UHYLHZHG ILUVW 8QWLO QRZ
RQO\ D IHZ SXEOLFDWLRQV GLVFXVHV 3:0 PHWKRGV IRU D IRXU
OHYHO GXDOLQYHUWHU IHG 2H: ILYHSKDVH GULYH LQFOXGHV
'DULMHYLFHWDODQG-RQHVHWDO'DULMHYLFHWDO
SUHVHQWV 3:0 PHWKRGV EDVHG RQ FDUULHU EDVHG &% 3:0$FFRUGLQJWRGLVWULEXWLRQRIWKHFDUULHUVWZR W\SHVRI
OHYHOVKLIWHG &% 3:0 LH 3' DQG $32' &% 3:0 ZHUH
LQYHVWLJDWHG 7KH PRGXODWLRQ VLJQDOV DUH JHQHUDWHG E\
LQMHFWLQJ WKH ORZRUGHU KDUPRQLFV XVLQJ PLQPD[ PHWKRG
6LQFH LQ IRXUOHYHO LQYHUVLRQ QHHGV WKUHH FDUULHU VLJQDOV D
QHFHVDU\PRGLILFDWLRQLVFDUULHGRXW6ZLWFKLQJVWDWHVSjiDUH
REWDLQHGXVLQJD VLPSOH PDWKHPDWLFDOHTXDWLRQ DQGWKH
FRPSDULVRQRIWKHYROWDJHUHIHUHQFHDQGWKHFDUULHUVLJQDOVDUH
VKRZQDW)LJ>@
¯®
t
WKHQ
LI
WKHQ
LI
k i
k i
ki v C
C
A v
)LJ3KDVH³D´UHIHUHQFHYROWDJHDQGFDUULHUVLJQDOVIRULQ
3KDVH'LVWULEXWLRQ3'3:0>@
ZKHUH vi LV WKH UHIHUHQFH YROWDJH IRU ith SKDVH ZKLOH Ck DUH
FDUULHU VLJQDOV 7KH UHDO JDWLQJ VLJQDOV RI WKH VZLWFKHV IRU
LQYHUWHU DQG LQYHUWHU DUH REWDLQHG E\ XVLQJ UHODWLRQ
EHWZHHQJDWLQJVLJQDOVDQGORJLFDOYDULDEOHVAkiWKDWLVZULWHQ
DVSi AiDQGSi 127AiAi±127Ai
9DULRXVRSHUDWLRQPRGHVFDQEHVHOHFWHGE\DGMXVWLQJ
WKH UHIHUHQFH RIIVHW WKH GDVK OLQH LQ )LJ $W PRGXODWLRQ
LQGH[M!WKHUHIHUHQFHRIIVHWLVVHWWRòVLQFHWKHIXOO
'&OLQN LV UHTXLUHG $W PRGXODWLRQ LQGH[ M <
UHIHUHQFH RIIVHW LV KHQFH RQO\ RQH LQYHUWHU RSHUDWHV LQ
3:0PRGHZKLOHWKHRWKHULQYHUWHULVORFNHGDW]HURYHFWRUV
$OWKRXJK LPSURYHG RXWSXW YROWDJHV FDQ EH REWDLQHG WKH
SURSRVHG 3:0 VFKHPH VXIIHUV IURP WKH RYHUFKDUJHG RI WKH
FDSDFLWRU'&OLQNYROWDJHRIRQHLQYHUWHUDQGSDUWLFXODUO\3'
&%3:0DOVRJHQHUDWHVYROWDJHVSLNHVGXHWRWKHGHDGWLPH
HIIHFWZKHQERWKLQYHUWHUVDUHVZLWFKHGDWWKHVDPHWLPH>@
-RQHVHWDOGHYHORSHG3:0PHWKRGVIRUDIRXU
OHYHO ILYHSKDVH 2H: GULYH XVLQJ D GHFRXSOHG PRGXODWLRQ
WHFKQLTXH 7KH YROWDJH UHIHUHQFHV DUH DSSRUWLRQHG DFFRUGLQJ
WRPRGXODWLRQLQGH[MXVLQJFRQVWUDLQVDVH[SUHVVHGDW
0RGXODWLRQ LQGH[ GHILQHV DV FRPSDULVRQ RI D YROWDJH
UHIHUHQFH DQG RQH KDOI RI '&OLQN YROWDJH
Vdc
v
M ZKHUH v** LV WKH PRGXODWLQJ UHIHUHQFH
YROWDJHDQG Vdc LVWKH YDOXH RIWKH '&OLQN YROWDJH $W M
IUHTXHQF\IXQGDPHQWDORIRXWSXWYROWDJHLVVHWWR+]
7KH LQGLYLGXDO PRGXODWLRQ LQGH[ LV GHILQHV DV
v Vdc
M DQGM v Vdc
¯®
d
¯® d d
M M
M M M
M M M
,W LV LPSOLHG IURP HTXDWLRQ WKDW ZKHQ 0
RQO\LQYHUWHURSHUDWHVLQWZROHYHOPRGHZKLOHLQYHUWHULV
ORFNHGDW]HURVZLWFKLQJVWDWHRUDQGZKHQ0
! WZR LQYHUWHUV RSHUDWH VR WKDW LQYHUWHU RSHUDWHV DW
PD[LPXP PRGXODWLRQ LQGH[ M ZKLOH LQYHUWHU
RSHUDWHV XVLQJ PRGXODWLRQ LQGH[ RI M 0 7KH
GLYLGHGUHIHQFHVWKHQDUHPRGXODWHGXVLQJWKHFRPPRQWZR
OHYHO693:0WHFKQLTXH ZLWKODUJHDQGPHGLXPYHFWRUV
DUH VHOHFWHG SHU VHFWRU 7KLV PHWKRG LV QDPHG DV 8QHTXDO
5HIHUHQFH6KDULQJ856PHWKRG>@
6LQFHWKHYROWDJHUHIHUHQFHVDUHXQHTXDO\DSRUWLRQHGWKH
PXOWLOHYHO LQYHUVLRQ LV DFKLHYHG HVSHFLDOO\ ZKHQ M !
ZKLOH DW M LQYHUWHU ZRUNV LQ WZROHYHO PRGH VLQFH
RQO\ RQH LQYHUWHU RSHUDWHV %DVHG RQ WKH W\SH RI FDUULHU
VLJQDOVRIWZRLQYHUWHUVWZRYDULDQVRI8563:0VFKHPHV
DUH GHYHORSHG %HWZHHQ WKH WZR PHWKRGV WKH 856 3:0
ZLWK WKH VDPH FDUULHU VLJQDOV UHVXOWV D EHWWHU RXWSXW YROWDJH
TXDOLW\ %RWK VFKHPHV LPSURYH WKH LQYHUWHU SHUIRUPDQFH
FRPSDUHG ZLWK WKH GHFRPSRVLWLRQ 3:0 VFKHPH ZLWK HTXDO
'&OLQNYROWDJHIRUDOPRVWDOORSHUDWLQJUHJLRQV
7KH3URSRVHG3:06FKHPH
7KH SURSRVHG PRGXODWLRQ PHWKRG DGDSWV WKH
GHFRPSRVLWLRQ3:0VFKHPHIRUWKHWKUHHOHYHOGXDOLQYHUWHU
IHG 2H: ILYHSKDVH GULYH >@ ,W LV KRZHYHU D VLPSOH
PRGLILFDWLRQ LV UHTXLUHG SDUWLFXUODUO\ LQ WKH KLJKHU VSHHG
UDQJHV ,Q WKH GHFRPSRVLWLRQ 3:0 WKH YROWDJH UHIHUHQFH
PDSSHGLQWKHĮȕSODQHLVGHFRPSRVHGLQWRWZRSDUWVZKLFK
DUH DORFDWHG IRU LQYHUWHU DQG LQYHUWHU 7KH YROWDJH
UHIHUHQFHIRULQYHUWHULVPRGXODWHGXVLQJDVLQJOHVZLWFKLQJ
VWDWH QHDUHVW WR WKH WLS RI WKH UHIHUHQFH ZKLOH WKH UHIHUHQFH
YROWDJH RI WKH LQYHUWHU LV PRGXODWHG XVLQJ 6SDFH 9HFWRU
3:0693:0WHFKQLTXH5HDOLVDWLRQRIWKHGHFRPSRVLWLRQ
3:0VFKHPH XVLQJFDUULHUEDVHG3:0PHWKRGLVGRQH E\
PRGXODWLQJ LQYHUWHU DW IXQGDPHQWDO IUHTXHQF\ RU VZLWFKHG
DW]HURVWDWHVIRUORZHUPRGXODWLRQLQGH[ZKLOHLQYHUWHULV
PRGXODWHG DW 3:0 PRGH E\ FRPSDULQJ WKH PRGXODWLRQ
VLJQDOV RI LQYHUWHU ZLWK WKH KLJK IUHTXHQF\ FDUULHU VLJQDO
7KH UHIHUHQFH VLJQDORILQYHUWHU LVREWDLQHGE\VXEWUDFWLQJ
WKHUHVSHFWLYHSKDVHRIWKHVLQXVRLGDOUHIHUHQFHYROWDJHZLWK
WKHSKDVHOHJYROWDJHRILQYHUWHU
7KH SURSRVHG 3:0 RSHUDWHV LQ WKUHH GLIIHUHQW
RSHUDWLRQ PRGHV DFFRUGLQJ WR WKH VSHHG UDQJH PRGXODWLRQ
LQGH[ $W PRGXODWLRQ LQGH[ M LQYHUWHU
RSHUDWHVDWIXQGDPHQWDOIUHTXHQF\ZKLOHLQYHUWHURSHUDWHVDW
3:0 PRGH 7KH FRQGXFWLRQ PRGH LV PRGLILHG E\
UHGXFLQJ WKH 21WLPH GXUDWLRQ RI ERWK XSSHU DQG ORZHU
VZLWFKHV7KHPHWKRGWRJHQHUDWHWKHJDWLQJVLJQDOVIRU
MLVVKRZQDWXSSHUWUDFHRI)LJDQGWKHUHVSHFWLYH
JDWLQJVLJQDOVRISKDVHµa¶XSSHUDQGORZHUVZLWFKHVLQYHUWHU
IRUM DUHVKRZQDWPLGGOHDQGORZHUWUDFHRI)LJ
7KH JDWLQJ VLJQDO RI WKH XSSHU DQG WKH ORZHU VZLWFKHV DUH
JRYHUQHGE\XVLQJHTXDWLRQVDQG
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0
0.5 1
Gating signal of phase "a" upper switch of INV-1, M=1.00
Time (sec)
V (p.u)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 0
0.5 1
Gating signal of phase "a" lower switch of INV-1, M = 1.00
V (p.u)
0 0.005 0.01 0.015 0.02 0.025 0.03 0.035 0.04 -1
0 2/3 1
Voltage reference signal , M = 1.0
Time (sec)
V (p.u)
7KUHVKROGRIORZHUVZLWFK 9ROWDJHUHIHUHQFH
1/3
-1/3 -2/3
7KUHVKROGRIXSSHUVZLWFK
)LJ*DWLQJVLJQDOVRISKDVHµD¶XSSHUDQGORZHUVZLWFKHV
IRULQYHUWHUM
7KH HTXDWLRQV FRQVLVW RI VLPSOH ORJLFV WKDW FRPSDUH
WKHYROWDJHUHIHUHQFHVvrxZLWKDSDUWLFXODUYDOXHRI)RU
WKH XSSHU VZLWFKHV LI vrx ! WKH VZLWFKHV DUH 21
RWKHUZLVHWKHVZLWFKHVDUH2)))RUWKHORZHUVZLWFKHVLIvrx
WKHVZLWFKHVDUH21RWKHUZLVHWKHVZLWFKHVDUH2))
/RZ
+LJK
WKHQ
!
e d c b a x x
e d c b a x x r
S else
S v
if
/RZ
+LJK
WKHQ
e d c b a x x
e d c b a x x ref
S else
S v
if
SxDQGSxIRUx abcdeDUHWKHVZLWFKLQJIXQFWLRQVRI
WKHXSSHUDQGWKHORZHUVZLWFKHVRILQYHUWHU
,WLVVKRZQDW)LJWKDWWKHJDWLQJVLJQDORIWKHXSSHU
DQGORZHUVZLWFKHVDUHQRORQJHUSUHFLVHO\RSSRVHGEXWVRPH
GHOD\LVQRZSUHVHQW:KHQPRGXODWLRQLQGH[LVUHGXFHGWKH
21WLPH GXUDWLRQ RI WKH XSSHUDQGORZHU VZLWFKHVLVDOVR
UHGXFHG KHQFH WKH YDOXH RI WKH OHJ YROWDJH RI LQYHUWHU LV
YDULHG DFFRUGLQJ WR PRGXODWLRQ LQGH[ 7KH OHJ YROWDJH WKDW
SURGXFHGXVLQJFRQGXFWLRQ PRGH LV IL[HGUHJDUGOHVV RI
WKH PRGXODWLRQ LQGH[ 7KLV LV DGYDQWDJHRXV QRW RQO\ IRU
LPSURYLQJWKHTXDOLW\RIWKHRXWSXWYROWDJHVRIFRQYHUWHUEXW
DOVR IRU NHHSLQJ D EDODQFH RSHUDWLRQ EHWZHHQ WZR LQYHUWHUV
KHQFHDYRLGWKHLQFUHDVHRIWKH'&OLQNYROWDJHRILQYHUWHU
0HDQZKLOH)LJVKRZVWKHZD\WRJHQHUDWHWKHJDWLQJ
VLJQDOVIRULQYHUWHUDWSDUWLFXODUM 7KHXSSHUWUDFHRI
)LJVKRZVWKDWWKHSKDVHµD¶UHIHUHQFHVLJQDORILQYHUWHULV
REWDLQHG E\ VXEWUDFWLQJ WKH SKDVH µD¶ VLQXVRLGDO YROWDJH
UHIHUHQFHGDVKGRWOLQHDQGWKHSKDVHµD¶OHJYROWDJHGDVKHG
OLQH3KDVHµD¶PRGXODWLRQVLJQDORILQYHUWHULVDFKLHYHGE\
XVLQJ PLQPD[ LQMHFWLRQ PHWKRG HTXLYDOHQW 693:0
PHWKRGDVVKRZQLQWKHPLGGOHWUDFHRI)LJ&RPSDULVRQ
RI WKH PRGXODWLRQ VLJQDO ZLWK D WULDQJXODU FDUULHU VLJQDO
UHVXOWVSKDVHµD¶JDWLQJVLJQDORIWKHXSSHUVZLWFKRILQYHUWHU
DVVKRZQDWWKHORZHUWUDFHRI)LJ7KHJDWLQJVLJQDOVRI
WKHORZHUVZLWFKHVDUHFRPSOHPHQWDU\RIWKHJDWLQJVLJQDOVRI
WKHXSSHUVZLWFKHV
$W 0RGXODWLRQ LQGH[ M LQYHUWHU
RSHUDWHVDWFRQGXFWLRQPRGHZKLOHLQYHUWHURSHUDWHVLQ
3:0 PRGH ,Q WKLV VSHHG UDQJHV WKH '&OLQN YROWDJH RI
LQYHUWHULVUHGXFHGRQHKDOIKHQFHDQHTXDOUDWLRRI'&OLQN
YROWDJH LV QRZ DSSOLHG ,Q RUGHU WR DYRLG WKH XQEDODQFH
RSHUDWLRQ EHWZHHQ WZR LQYHUWHUV RSHUDWLRQ EHWZHHQ WZR
LQYHUWHUV LV DOWHUQDWHG EHWZHHQ FRQGXFWLRQ PRGH DQG
3:0PRGHIRUHYHU\F\FOHRIRSHUDWLRQ>@)LJDQG)LJ
VKRZWKHJDWLQJVLJQDOVRISKDVHµD¶RIWKHXSSHUVZLWFKHVRI
LQYHUWHUDQGLQYHUWHUIRUM DORQJZLWKWKHPHWKRG
WRJHQHUDWHWKHJDWLQJVLJQDOVXVLQJFDUULHUEDVHG3:07KH
JDWLQJVLJQDOVIRUWKHRWKHUSKDVHVDUHREWDLQHGE\FRPSDULQJ
WKH FRQVHFXWLYH SKDVHV RI YROWDJH UHIHUHQFH ZLWK WKH VDPH
WULDQJXODUFDUULHUVLJQDO
)LQDO\ DW PRGXODWLRQ LQGH[ M RQO\
LQYHUWHU LV DFWLYDWHG ZKLOH LQYHUWHU FODPSHG DW ]HUR
VZLWFKLQJ VWDWH RU )LJ VKRZV WKH JDWLQJ
VLJQDO RI XSSHU VZLWFKHV RI LQYHUWHU DQG LQYHUWHU
UHVSHFWLYHO\DWM ,WLVFOHDUO\VKRZQ WKDWLQYHUWHULV
VZLWFKHGRIIDQGIRUPLQJD VWDUFRQQHFWHGRIRQHHQGRIWKH
VWDWRU ZLQGLQJVWKDW PHDQVWKH WZROHYHOLQYHUWHUVLQJOHVLGH
VXSSO\PRGHLVQRZDSSOLHG
)LJ*HQHUDWLRQRISKDVH³D´JDWLQJVLJQDOXSSHUVZLWFK LQYHUWHUM
0 0.01 0.02 0.03 0.04 0.05
-0.5 0 0.5
phase "a" mod. signal and carrier of INV-1, M = 0.7
Time (sec)
V (p.u)
0 0.01 0.02 0.03 0.04 0.05
0 0.5 1
Gating signal of phase "a" upper switch of INV-1, M = 0.70
Time (sec)
V (p.u)
)LJ*HQHUDWLRQRIJDWLQJVLJQDOVRISKDVHµD¶XSSHUVZLWFK RILQYHUWHUM
0 0.01 0.02 0.03 0.04 0.05
-0.5 0 0.5
phase "a" mod. signal and carrier of INV-2, M = 0.7
Time (sec)
V (p.u)
0 0.01 0.02 0.03 0.04 0.05
0 0.5 1
Gating signal of phase "a" upper switch of INV-2, M = 0.70
Time (sec)
V (p.u)
)LJ*HQHUDWLRQRIJDWLQJVLJQDOVRISKDVHµD¶XSSHUVZLWFK RILQYHUWHUM
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 -1
0 1
Generation of modulation signal of INV-2, M = 1.00
V (p.u)
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 -0.2
0 0.2
phase "a" mod. signal and carrier of INV-2, M = 1.00
V (p.u)
0 0.002 0.004 0.006 0.008 0.01 0.012 0.014 0.016 0.018 0.02 0
0.5 1
Gating signal of phase "a" upper switch of INV-2, M = 1.00
V (p.u)
Time (sec) phase 'a' ref. signal for INV-2
Phase 'a' sinusoidal reference Normalished phase 'a' leg voltage INV-1
0 0.01 0.02 0.03 0.04 0.05 0.06
0 1
2 Gating signal of phase "a" upper switch of INV-1, M=0.3
Time (sec)
V (p.u)
0 0.01 0.02 0.03 0.04 0.05 0.06
0 0.5 1
Gating signal of phase "a" upper switch of INV-2, M = 0.3
Time (sec)
V (p.u)
)LJ*DWLQJVLJQDOVRISKDVHµD¶XSSHUVZLWFKHVRI LQYHUWHUDQGLQYHUWHUM
6LPXODWLRQ5HVXOWV
2XWSXWYROWDJHVTXDOLW\
7KHSURSRVHG3:0VFKHPHLVYHULILHGXVLQJ0$7/$%
6LPXOLQN 7KH LQYHUWHUV VZLWFKHV DUH PRGHOHG XVLQJ
6LP3RZHU %ORFNVHW WKH JDWLQJ VLJQDOV DUH JHQHUDWHG XVLQJ
VLPXOLQNDQGDILYHSKDVHVWDWLV5/ORDGLVFRQQHFWHGLQWKH
PLG SRLQW RI HDFK OHJ RI LQYHUWHU DQG LQYHUWHU 7KH '&
OLQNYROWDJHVDUHVHWIRU99IRUM!DQG9
9 IRU M 7KH VZLWFKLQJ IUHTXHQF\ RI WKH 3:0
LQYHUWHULVN+]DQGWKHHIIHFWRIGHDGWLPHLVQHJOHFWHG
)LJ GHSLFW WKH SKDVH µa¶ RXWSXW YROWDJH RI WKH
GXDOLQYHUWHU IHG ILYHSKDVH 2H: GULYHV DW SDUWLFXODU
PRGXODWLRQ LQGH[ RI M M DQG M
UHVSHFWLYHO\ 7KH YROWDJH ZDYHIRUPV LQGLFDWHV QHDUO\
VLQXVRLGDO YROWDJHV DUH VXFFHVVIXOO\ DFKLHYHG 7KH YROWDJH
ZDYHIRUPVFRQVLVWVRIDQGYROWDJHOHYHOVIRUM
M DQG M UHVSHFWLYHO\ WKDW PHDQV D IRXUOHYHO
WKUHHOHYHO DQG WZROHYHO RSHUDWLRQ LV SHUIRUPHG 7KH
KDUPRQLFVVSHFWUDVKRZWKDWWKHRXWSXWYROWDJHVFRQWDLQRQO\
KDUPRQLF DW IXQGDPHQWDO IUHTXHQF\ ZKLOH WKH ORZRUGHU
KDUPRQLFVDUHVKLIWHGDWDUURXQGPXOWLSOHVZLWFKLQJIUHTXHQF\
DQGLWVVLGHEDQG
0.02 0.025 0.03 0.035 0.04 0.045 0.05 0.055 0.06 -500
0 500
Vphase and Harmonics Spectrum, M= 1
(V)
Time (s)
0 500 1000 1500 2000 2500 3000 3500 4000 4500 0
100 200
Vfund(rms) = 210.06, ffund (Hz) = 50, THD (%)= 25.17
V (rms)
Frequency (Hz)
)LJ3KDVH³D´RXWSXWYROWDJHDWM DQGKDUPRQLFV
VSHFWUXP
0.07 0.08 0.09 0.1 0.11 0.12
-500 0 500
Vphase and Harmonics Spectrum, M= 0.7
(V)
Time (s)
0 500 1000 1500 2000 2500 3000 3500 4000 4500 0
100 200
Vfund(rms) = 147.64, ffund (Hz) = 35, THD (%)= 32.18
V (rms)
Frequency (Hz)
)LJ3KDVH³D´RXWSXWYROWDJHDWM DQGKDUPRQLFV
VSHFWUXP
0.54 0.56 0.58 0.6 0.62 0.64 0.66
-500 0 500
Vphase and Harmonics Spectrum, M= 0.3
(V)
Time (s)
0 500 1000 1500 2000 2500 3000 3500 4000 4500 0
100 200
Vfund(rms) = 63.593, ffund (Hz) = 15, THD (%)= 85.31
V (rms)
Frequency (Hz)
)LJ3KDVH³D´RXWSXWYROWDJHDWM DQGKDUPRQLFV
VSHFWUXP
)LJVKRZVSURMHFWLRQRIWKHRXWSXWYROWDJHVLQ WKH
Įȕ DQG xy SODQHV IRU M M DQG M
UHVSHFWLYHO\ ,W FDQ EH VHHQ WKDW DQ RSWLPXP YDOXH RI
IXQGDPHQWDO FRPSRQHQW WKDW PDSSHG LQ Įȕ SODQH LV DEOH WR
DFKLHYHZKLOHWKHXQZDQWHGORZRUGHUKDUPRQLFVWKDWPDSSHG
LQxySODQHDUHVXFHVIXOO\VXSUHVVHGLQWRDVPDOOYDOXH7KLV
LQGLFDWHV WKDW WKH PDLQ UHTXLUHPHQW IRU FRQWUROOLQJ D ILYH
SKDVHPRWRUKDVEHHQVXFFHVIXO\UHDFKHGZLWKLQWKHSURSRVHG
PRGXODWLRQVWDUWHJ\
7+'RIWKHRXWSXWYROWDJHV
,Q RUGHU WR IXUWKHU YHULI\ WKH SURSRVHG 3:0 VFKHPH
VLPXODWLRQ ZDV UHSHDWHG IURP PRGXODWLRQ LQGH[ RI WR
ZLWK LQFUHDPHQWV 7+' RI WKH RXWSXW YROWDJH LV
QRWHGDQGSUHVHQWHGDW)LJ7KHYROWDJH7+'LVFDOFXODWHG
XSWRWKKDUPRQLFVDVGHVFULEHGDWHTXDWLRQ7KHYDOXH
RI7+'LVFRPSDUHGZLWKWKH7+'RIWKHRXWSXWYROWDJHVWKDW
DUH DFKLHYHG E\ XVLQJ WKH WKUHHOHYHO DQG WKH SUHYLRXV IRXU
OHYHO3:0IRUWKHGXDOLQYHUWHUIHG2H:ILYHSKDVHGULYH
-400 -200 0 200 400 -400
-200 0 200
400D-E plane, M=1.00
-400 -200 0 200 400 -400
-200 0 200 400
x-y plane, M = 1.00
-400 -200 0 200 400 -400
-200 0 200
400D-E plane,M = 0.7
-400 -200 0 200 400 -400
-200 0 200 400
x-y plane, M = 0.7
-400 -200 0 200 400 -400
-200 0 200
400D-E plane,M = 0.3
-400 -200 0 200 400 -400
-200 0 200
400x-y plane, M = 0.3
)LJ3URMHFWLRQRIWKHSKDVHRXWSXWYROWDJHWRĮȕDQGxy SODQHVIRUM M DQGM UHVSHFWLYHO\
V V v
V n
n THD
¦
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1
0 50 100 150 200 250
300 THD comparison of phase output voltage
Modulation index (M) THD of Vphase (%)
4-level-OeW 3-level-OeW URS PWM method
)LJ7+'FRPSDULVRQRIWKHYDULRXV3:0VFKHPHVIRU
GXDOLQYHUWHUIHG2H:ILYHSKDVHGULYHV
,WLVFOHDUO\VKRZQDW)LJWKDWWKHSHUIRUPDQFHRIWKH
RXWSXWYROWDJHVLVFRQVLGHUDEO\LPSURYHGIRUDOOVSHHGUDQJHV
FRPSDUHG ZLWK WKH RXWSXW YROWDJHV WKDW DUH DFKLHYHG E\ WKH
WKUHHOHYHO 3:0 IRU WKH GXDOLQYHUWHU IHG 2H: ILYHSKDVH
GULYHVZLWKHTXDO'&OLQN>@7KHTXDOLW\RIWKHRXWSXW
YROWDJHV LV DOVR LPSURYHG FRPSDUHG WR WKH SUHYLRXV IRXU
OHYHO 3:0 LQ SDUWLFXODU XVLQJ WKH 856 3:0 PHWKRG DV
UHSRUWHG DW -RQHV HW DO >@ HVSHFLDOO\ IRU M
ZKLOHIRUMWKHSHUIRUPDQFHLVH[DFO\WKHVDPHDVWKH
3:0 PHWKRG DSSOLHG LV WKH VDPH LH RQO\ RQH LQYHUWHU LV
DFWLYDWHG
(YDOXDWLRQ RI WKH OHJ YROWDJHV RILQYHUWHU DQG
LQYHUWHU
,Q RUGHU WR HQVXUH D EDODQFH RSHUDWLRQ EHWZHHQ WKH WZR
LQYHUWHUVWKHIXQGDPHQWDOYDOXHRIWKHSKDVHµa¶OHJYROWDJHV
RI ERWK LQYHUWHUV SDUWLFXDUO\ IRU M ! ZHUH QRWHG DQG
SUHVHQWHG DW 7DEOH ,W FDQ EH VHHQ IURP 7DEOH WKDW WKH
IXQGDPHQWDO YDOXH RI LQYHUWHU OHJ YROWDJHV KDV QHYHU
H[FHHGHG WKH IXQGDPHQWDO YDOXH RIWKH RXWSXWYROWDJHV 7KLV
LQGLFDWHVWKDWERWKLQYHUWHUVDOZD\VVXSSO\DSRVLWLYHSRZHUWR
WKHORDGIRUDOOVSHHGUDQJHHYHQDWWKHWUDQVLWLRQPRGHIURP
IRXUOHYHOWRWKUHHOHYHORSHUDWLRQWKDWWDNHVSODFHDWM
WKHEROGQXPEHUVLQ7DEOH,WLVDOVRVKRZQDW7DEOHWKDW
LQWKHUDQJHRIMERWKLQYHUWHUVDOZD\VJHQHUDWH
DVLPLODUIXQGDPHQWDOYDOXHLQWKHOHJYROWDJHVWKDWFRQILUPV
WKH EDOODQFH RSHUDWLRQ EHWZHHQ WZR LQYHUWHUV LV DEOH WR
DFKLHYH,WFDQEHFRQFOXGHGWKDWWKHSURSRVHG3:0VFKHPH
KDV D JRRG FDSDELOLW\ WR PDLQWDLQ WKH YDOXH RI WKH '&OLQN
YROWDJH DW WKH FHUWDLQ YDOXH ,W LV KRZHYHU D IXUWKHU
LQYHVWLJDWLRQLVUHTXLUHGWRVXSRUWWKHILQGLQJLHE\HYDOXDWLQJ
WKHXVDJHRIWKHYROWDJHVSDFHYHFWRUVIRUYDULRXVPRGXODWLRQ
LQGH[
0 Vout9 VlegINV 9 VlegINV9
7DEOH5PVIXQGDPHQWDOYDOXHRISKDVHµD¶RXWSXWYROWDJH
SKDVHµD¶OHJYROWDJHVRILQYHUWHUDQGLQYHUWHUIRUYDULRXV
PRGXODWLRQLQGH[
&RQFOXVLRQ
$QHZ3:0VFKHPHIRUDIRXUOHYHOGXDOLQYHUWHUIHG
2H: ILYHSKDVH LQGXFWLRQ PRWRU GULYH LV SUHVHQWHG LQ WKLV
SDSHU7KHGHYHORSHG3:0PHWKRGDGDSWVWKHGHFRPSRVLWLRQ
3:0VFKHPHIRUWKHGXDOLQYHUWHUIHGILYHSKDVHGULYHVZLWK
HTXDO'&OLQNYROWDJH7KHSURSRVHG3:0PHWKRGKDVEHHQ
YHULILHGXVLQJ0$7/$%6LPXOLQN7KHUHVXOWVVKRZWKDWWKH
TXDOLW\ RI RXWSXW YROWDJHV DUH VLJQLILFDQWO\ LPSURYHG LQ
FRPSDULVRQZLWKWKHRXWSXWYROWDJHVWKDWDUHJHQHUDWHGXVLQJ
WKH WKUHHOHYHO 3:0 DQG WKH SUHYLRXV IRXUOHYHO 3:0
VFKHPHV7KHSURSRVHG3:0VFKHPHLVDOVRLQKHUHQWO\DEOH
WR HQVXUH D EDODQFH RSHUDWLRQ EHWZHHQ WZR LQYHUWHUV KHQFH
DYRLGWKH RYHUFKDUJHGRI'&OLQN YROWDJH 2QH GUDZEDFN RI
WKHSURSRVHGPHWKRGLVWKDWWKHDGLWLRQDOFLUFXLWLVUHTXLUHGWR
UHGXFHWKHYDOXHRI'&OLQNYROWDJHRILQYHUWHUDWSDUWLFXODU
UDQJHPRGXODWLRQLQGH[M
$FNQRZOHGJHPHQWV
7KLV SDSHU LV PDGH SRVVLEOH E\ D ILQDQFLDO VXSSRUW IURP WKH
0LQLVWHU\ RI 5HVHDUFK 7HFKQRORJ\ DQG +LJKHU (GXFDWLRQV
5HSXEOLF RI ,QGRQHVLD YLD D UHVHDUFK JUDQW GHGLFDWHG WR
0DWDUDP8QLYHUVLW\:HVW1XVD7HQJJDUD,QGRQHVLD
5HIHUHQFHV
>@ 6/XDQG.$&RU]LQH³$GYDQFHGFRQWURODQGDQDO\VLVRIFDVFDGHG
PXOWLOHYHOFRQYHUWHUVEDVHGRQ34FRPSHQVDWLRQ´IEEE Transactions on Power ElectronicsYROQRSS
>@ %3 0F*UDWK 7$ 0H\QDUG * *DWHDX '* +ROPHV ³2SWLPDO
PRGXODWLRQRIIO\LQJFDSDFLWRUDQGVWDFNHGPXOWLFHOOFRQYHUWHUVXVLQJD
VWDWHPDFKLQHGHFRGHU´IEEE Transactions on Power ElectronicsYRO
QRSS
>@ 6- :DWNLQV DQG / =KDQJ ³0XOWLOHYHO VSDFH YHFWRU 3:0 FRQWURO
VFKHPHV IRU D IO\LQJFDSDFLWRU LQYHUWHU´ Proc. IEEE Power Electronics, Machines and Drives PEMD (GLQEXUJK 8., YRO
SS
>@ + 6WHPPOHU DQG 3 *XJJHQEDFK ³&RQILJXUDWLRQV RI KLJKSRZHU
YROWDJH VRXUFH LQYHUWHU GULYHV´ Procs. of the European Power Electronics and Applications Conference (EPE) %ULJKWRQ ±
6HSWHPEHU8.SS
>@ $.*XSWDDQG$0.KDPEDGNRQH³$VSDFHYHFWRU3:0VFKHPH
IRUPXOWLOHYHOLQYHUWHUVEDVHGRQWZROHYHOVSDFHYHFWRU3:0´IEEE Trans. on Ind. ElecYROSS
>@ *6KLQ\DQG05%DLMX³6SDFH9HFWRU3:0VFKHPHZLWKRXWVHFWRU
LGHQWLILFDWLRQ IRU DQ RSHQHQG ZLQGLQJ LQGXFWLRQ PRWRU EDVHG OHYHO
LQYHUWHU´in Proc. IEEE Industrial Elec. Soc. Annual Meeting IECON
3RUWR3RUWXJDOSS
>@ %9 5HGG\ DQG 97 6RPDVHNKDU ³$ VSDFHYHFWRU PRGXODWLRQ
VFKHPH IRU D IRXUOHYHO GXDO LQYHUWHU IHG RSHQHQG ZLQGLQJ LQGXFWLRQ
PRWRU GULYH´ IEEE Proc. on 5th India International Conference on Power Electronics (IICPE)'HKOL,QGLDSS'HF
>@ 31 7HNZDQL 56 .DQFKDQ . *RSDNXPDU ³$ 'XDO )LYH/HYHO
,QYHUWHU)HG ,QGXFWLRQ 0RWRU 'ULYH :LWK &RPPRQ0RGH 9ROWDJH
(OLPLQDWLRQDQG'&/LQN&DSDFLWRU9ROWDJH%DODQFLQJ8VLQJ2QO\WKH
6ZLWFKLQJ6WDWH 5HGXQGDQF\²3DUW ,´ Trans. IEEE on Industrial ElectronicsYROSS2FW
>@ (/HYL³0XOWLSKDVHHOHFWULFPDFKLQHVIRUYDULDEOHVSHHGDSSOLFDWLRQV´
IEEE Trans. on Indust. Electronics, YRO QR SS
>@ ( /HYL 0 -RQHV DQG : 6DWLDZDQ ³$ PXOWLSKDVH GXDOLQYHUWHU
VXSSOLHGGULYHVWUXFWXUHIRUHOHFWULFDQGK\EULGHOHFWULFYHKLFOHV´IEEE Proc. Vehicle Power and Propulsion Conf. VPPC /LOOH )UDQFH &'
520SDSHU
>@ 0'DULMHYLF0-RQHV1%RGR(/HYL³)RXUOHYHOILYHSKDVHRSHQ
HQG ZLQGLQJ GULYH ZLWK XQHTXDO GFOLQN YROWDJHV´ Proc. European Power Electronics and Applications Conf. EPE /LOLH 3UDQFH &'
520
>@ 0-RQHV0'DULMHYLF(/HYL³'HFRXSOHGPRGXODWLRQWHFKQLTXHVIRU
DIRXUOHYHOILYHSKDVHRSHQHQGZLQGLQJGULYH´IEEE Proc. on Energy Conversion Congress and Exposition (ECCE)3LWWVEXUJK3$SS
6HSW
>@ 0-RQHV,16DWLDZDQDQG(/HYL³$WKUHHOHYHOILYHSKDVHVSDFH
YHFWRU PRGXODWLRQ DOJRULWKP EDVHG RQ WKH GHFRPSRVLWLRQ PHWKRG´
IEEE Proc. Int. Elec. Machines and Drives Conf. IEMDC 1LDJDUD
)DOOV&DQDGDSS
>@ 0-RQHV ,16DWLDZDQ1%RGR(/HYL ³$GXDO ILYHSKDVHVSDFH
YHFWRU PRGXODWLRQ DOJRULWKP EDVHG RQ WKH GHFRPSRVLWLRQ PHWKRG´
IEEE Trans. on Industry ApplicationsYROQRSS±
>@ 97 6RPDVHNKDU 6 6ULQLYDV .. .XPDU ³(IIHFW RI ]HURYHFWRU
SODFHPHQW LQ D GXDOLQYHUWHU IHG RSHQHQG ZLQGLQJ LQGXFWLRQ PRWRU
GULYH ZLWK DOWHUQDWH VXEKH[DJRQ FHQWHU 3:0 VZLWFKLQJ VFKHPH´
IEEE Trans. on Power ElectronicsYQRSS 0D\
>@ 1%RGR(/HYL0-RQHV³&DUULHUEDVHGPRGXODWLRQWHFKQLTXHVIRU
ILYHSKDVHRSHQHQGZLQGLQJGULYHWRSRORJ\´,(((Proc.of Industrial Electronics Annual Conference (IECON). 0HOERXUQH $XVWUDOLD SS
1RYHPEHU
>@ ,16DWLDZDQ,%&LWDUVD,.:LU\DMDWL0$$ZDUH³3HUIRUPDQFH
FRPSDULVRQ RI 3:0 VFKHPHV RI GXDOLQYHUWHU IHG ILYHSKDVH PRWRU
GULYHV´International Journal of TechnologyYROSS±