Post on 06-Apr-2018
transcript
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
1/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
:
/QFGNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG
)GPGTCVQT
/HYHQWH7$0$6DQG=ROWDQ6=(.(/
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
2/22
4GPGYCDNG'PGTI[
9KPF6WTDKPG5[UVGO/QFGN
)LJ VKRZVD EDVLFZLQGWXUELQHV\VWHP WKDWFRQYHUWVWKHZLQGHQHUJ\ LQWRPHFKDQLFDO
HQHUJ\ ZKLFK DW LWV WXUQ LV XVHG E\ DQ HOHFWULF PDFKLQH WR JHQHUDWH SRZHU 7KH EDVLFFRQILJXUDWLRQFRQVLVWVRIWKHZLQGWXUELQHEODGHVWKHGULYHWUDLQWKHLQGXFWLRQJHQHUDWRUDQGWKH$&$&FRQYHUWHUQRWVKRZQLQ)LJWRFRQQHFWWKHV\VWHPWRWKHJULG
)LJ%DVLFZLQGWXUELQHV\VWHPPRGHO
9KPFVWTDKPGOQFGN7KHPRGHOVRIZLQGWXUELQHVWDNHLQWRDFFRXQWVHYHUDOFKDUDFWHULVWLFVVXFKDVWKHVL]HEODGHUDGLXVQRPLQDOSRZHU VKDIWV VWLIIQHVV ORVVHVJHDUER[UDWLRHWF7KHPHFKDQLFDO SRZHUSURGXFHGE\WKHZLQGWXUELQHLV
5SFDLU
03
ZKHUHU LVWKHDLUGHQVLW\
5S LVWKHWXUELQHVZHSWDUHD Y LVWKHVSHHGRIWKHZLQGDQGFSLVWKHSRZHUHIILFLHQF\FRHIILFLHQWRIWKHZLQGWXUELQHZKLFKGHSHQGVRQWKHWLSVSHHGUDWLR7KLVLVGHILQHGDV
50
ZKHUHG
00GW
LVWKHDQJXODUVSHHGRIWKHWXUELQHEODGHVDQG5 LVWKHOHQJWKRIWKH
WXUELQHEODGH7KHUHLVDQRSWLPDOYDOXHRIWKHWLSVSHHGUDWLRRSWZKLFKDOORZVDPD[LPXPFDSWXUHRISRZHUIURPWKHZLQG7KLVYDOXHLVIRXQGIURPWKHW\SLFDOFKDUDFWHULVWLFRIWKHZLQGWXUELQHSRZHUFRHIILFLHQWFSISURYLGHGE\WKHPDQXIDFWXUHUV:KHQWKHZLQGWXUELQHLVRSHUDWLQJZLWKRSWWKHQRQOLQHDUSRZHUH[SUHVVLRQIURPPD\EHUHFDOFXODWHGDV
0RSWFRSW0
3
DQGWKHFRUUHVSRQGLQJPHFKDQLFDOWRUTXHSURGXFHGE\WKHEODGHVLV
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
3/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
0RSWFRSW0
7
ZKHUH &RSW LV D FRQVWDQWZKLFK GHSHQGV RQ WKH WXUELQH FKDUDFWHULVWLFV DQG DLU GHQVLW\.HOHPHQ,PHFV
&TKXGVTCKPOQFGN
7KH GULYH WUDLQG\QDPLFV FRQVLVWVRI WKH G\QDPLFVRI WKH ZLQG WXUELQH URWRU ORZVSHHGVKDIW JHDU ER[ KLJKVSHHG VKDIW DQG WKH LQGXFWLRQ JHQHUDWRU )LJ VKRZV WKH EDVLFGLDJUDP RI WKH GULYH WUDLQ WKDW ZDV XVHG IRU WKH GHULYDWLRQ RI WKH PDWKHPDWLFDO PRGHO.HOHPHQ,PHFV7KXVIRUWKHZLQGWXUELQHURWRUWKHIROORZLQJWRUTXHVHTXDWLRQFDQEHZULWWHQ
W
0
7
*
7
GW
0
G
0
-
ZKHUH 7 . * .
LVWKHUHDFWLRQWRUTXHH[HUWHGE\WKHIOH[LEOHORZVSHHGVKDIWRQWKH
URWRURIWKHZLQGWXUELQH6LPLODUO\IRUWKHURWRURIWKHLQGXFWLRQJHQHUDWRUWKHIROORZLQJWRUTXHVHTXDWLRQLVYDOLG
H7J7GW
U
GJ-
ZKHUH 7 . J . LV WKH UHDFWLRQ WRUTXH H[HUWHG E\ WKH KLJKVSHHG VKDIW RQ WKH
LQGXFWLRQJHQHUDWRUURWRUDQG H7 LVWKHHOHFWURPDJQHWLFWRUTXHRIWKHLQGXFWLRQPDFKLQHLQJHQHUDWRURSHUDWLRQPRGH
)LJ'ULYHWUDLQPRGHO7KH UHIHUHQFH YDOXHV IRU WKH DERYHPHFKDQLFDO SDUDPHWHUVZKHUH UHSRUWHG LQ 6FXWDUX$SRVWRDLD
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
4/22
4GPGYCDNG'PGTI[
+PFWEVKQPIGPGTCVQTOQFGN,QWKLVSDSHUWKHPRGHORIWKHLQGXFWLRQJHQHUDWRULVGHULYHGXVLQJDVVWDWHSDUDPHWHUVWKHVWDWRUDQGURWRUIOX[GTD[LVFRPSRQHQWVDQGWKHDQJXODUVSHHGRIWKHLQGXFWLRQJHQHUDWRU
7KHPRGHOLVDILIWKRUGHUG\QDPLFPRGHO,WLVDOVRDVVXPHGWKDWWKHLQGXFWLRQGULYHLVDVWDQGDORQHJHQHUDWRUVR WKDWWKHH[FLWDWLRQFDSDFLWRUDQGORDGLPSHGDQFHDUHDGGHGWRWKHPRGHO7KH PDWKHPDWLFDO PRGHO RI WKH LQGXFWLRQ PDFKLQH KDYLQJ IOX[HV DV VWDWH YDULDEOHV DQGZULWWHQLQWHUPVRILQGXFWDQFHVLVUHSUHVHQWHGE\WKHVHWRI
VG
XVT
UG
U/
P/
VG
V/
V5
GW
VGG
VTXVG
UT
U/
P/VT
V/
V5
GW
VTG
UG
XUT
VG
U/
P/
VG
V/
U5
GW
UGG
UTXUG
VT
V/
P/UT
U/
U5
GW
UTG
J7-
S]UTLVG
UG
LVT
V/
P/
-
S]
GW
G
$QLQGXFWLRQJHQHUDWRUPD\EHVHOIH[FLWHGE\SURYLGLQJWKHPDJQHWL]LQJUHDFWLYHSRZHUE\DFDSDFLWRUEDQN 6FXWDUX$SRVWRDLD ,Q)LJ D VWDQGDORQH LQGXFWLRQJHQHUDWRUXQGHUDQ5/UHVLVWLYHLQGXFWLYHORDGLVVKRZQ
)LJ6LQJOHSKDVH5/ORDGFLUFXLW
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
5/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
7KH VWDWRU YROWDJHVXVG DQG XVT DUH FRPSXWHGDV VWDWHYDULDEOHV LQ WKH JHQHUDWRUV ORDGLPSHGDQFHPRGHODVIROORZV
/GL
&
VGL&
GWVG
GX
/TL
&
VTL
&
GW
VTGX
/TL
/GL/5VG
X
//
GW
/GGL
/G
L
/TL/5VTX
//
GW
/TGL
7KHHOHFWURPDJQHWLFWRUTXHH[SUHVVLRQFDQEHZULWWHQLQWHUPVRIWKHVWDWHYDULDEOHV
UTVGUGVTU/V/
P/S]
H7
)LJVKRZVWKHFRPSOHWH6LPXOLQNPRGHORIWKHZLQGFRQYHUVLRQV\VWHPGHVFULEHGE\
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
6/22
4GPGYCDNG'PGTI[
)LJ6LPXOLQNEORFNGLDJUDPRIWKHG\QDPLFV\VWHPZLWK(.)HVWLPDWRU
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
7/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
5VCVGURCEGOQFGNQHVJGKPFWEVKQPIGPGTCVQT7KHVWDWHVSDFHHTXDWLRQVRIWKHLQGXFWLRQPDFKLQHFDQEHUHZULWWHQLQPDWUL[IRUPDVLQ
X%[$GW
G[
[&\
,QWKHVWDWHYDULDEOHVLQSXWDQGRXWSXWYHFWRUVDUHDVIROORZV
> @7UTUGVTVG[
> @7VTXVGXX
> @7UTLUGLVTLVGL\ ZKHUHXUGDQGXUTDUHFRQVLGHUHG]HUREHFDXVHRIWKHVTXLUUHOFDJHW\SHRIWKHLQGXFWLRQ
JHQHUDWRU7KHV\VWHPPDWUL[$WKHLQSXWPDWUL[%DQGWKHRXWSXWPDWUL[&DUH
U/
U5
U/V/
P/U5
U/
U5
U/V/
P/U5
U/V/
P/V5
V/
V5
U/V/
P/V5
V/
V5
$
%
U/
U/V/
P/
U/
U/V/
P/
U/V/
P/
V/
U/V/
P/
V/
&
7KH QXPHULFDO GDWD IRU WKH LQGXFWLRQ JHQHUDWRU SDUDPHWHUV IRXQGLQ DQG FDQ EHIRXQGLQWKH$SSHQGL[
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
8/22
4GPGYCDNG'PGTI[
$ VXFFHVVIXO EXLOGXS SURFHVV LV SUHGLFWHG DV LQ )LJ DQG LQ )LJ VKRZV IRU D VOLSIUHTXHQF\RIDQH[FLWDWLRQFDSDFLWDQFHYDOXHRI)DQGD UHVLVWLYHLQGXFWLYHORDGZLWK5NDQG/+7KHVLPXODWLRQZDVFDUULHGRXWIRUDVSHHGRIVHH)LJ
)LJ6WDWRUYROWDJHVGXULQJDVWDUWXSRIWKHORDGHGLQGXFWLRQJHQHUDWRU
)LJ6WDWRUFXUUHQWVGXULQJDVWDUWXSRIWKHORDGHGLQGXFWLRQJHQHUDWRU
)LJ5RWRUVSHHGRIWKHLQGXFWLRQJHQHUDWRUGXULQJVWDUWXS
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
9/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
5VCVGQDUGTXGTU
'ZVGPFGF-CNOCPHKNVGTGUVKOCVQT'-(
7KHILOWHULQJSUREOHPLQYROYHGLQWKLVSDSHULVWRILQGWKHEHVWHVWLPDWHRIWKHVWDWHYHFWRU[NRI WKH LQGXFWLRQ PDFKLQH ZKLFK HYROYHV DFFRUGLQJ WR WKH GLVFUHWH WLPH QRQOLQHDU VWDWHWUDQVLWLRQHTXDWLRQ.DOPDQ
NZ
NX
NI[
N[
ZKHUH I < < LVWKHPDFKLQHG\QDPLFV N LVWKH VWDWH REVHUYDWLRQRIWKHPDFKLQHDW
VDPSOLQJWLPH N NX LVWKHNQRZQLQSXWDWWLPHVWHS N DQG NZ LVWKHV\VWHP
QRLVHZKLFKLVZKLWHQRLVHZLWKD*DXVVLDQGLVWULEXWLRQZLWKPHDQ]HURDQGFRYDULDQFH4 $OVRZHDGPLWWKDWZHSRVVHVVDVHWRIQRLV\PHDVXUHPHQWVQRWHGDV]
NY
NK[
N]
ZKHUH K < LVDIXQFWLRQRIWKHVWDWHSDUDPHWHUVDQG NY LVWKHPHDVXUHPHQWQRLVHZLWKD
*DXVVLDQGLVWULEXWLRQZLWKPHDQ]HURDQGFRYDULDQFH5 )LUVWWKHHVWLPDWHGVWDWHVDUHFDOFXODWHGSUHGLFWLRQVWHSWKHQXVLQJWKHPHDVXUHPHQWVWKHVHVWDWHVDUHXSGDWHGLQIXQFWLRQRIWKH.DOPDQJDLQ.7KHHVWLPDWLRQSUHGLFWLRQHTXDWLRQVDUH
NZ
NX
N[I
N[
N4
7N
%N
8N
%7N
$N
3N
$N
3
ZKHUH [N
WKHSUHYLRXVVWDWHHVWLPDWHZLWKFRYDULDQFHPDWUL[ 3N XN LVWKHFRQWURO
LQSXWZLWKFRYDULDQFHPDWUL[8N
I LVWKHV\VWHPG\QDPLFVIXQFWLRQDQG ZN LV
WKHV\VWHPQRLVHZLWKFRYDULDQFH N4
7KHXSGDWHHTXDWLRQVIROORZLQJDPHDVXUHPHQW
N[K
N]
N.
N[
N[
N3
N+
N.,.3
N
57N
+N
3N
+7N
+N
3N
.
ZKHUH N. LVWKH.DOPDQJDLQ N] LVWKHPHDVXUHPHQWDWWLPHVWHSN K < LVDIXQFWLRQRI
WKHVWDWH YHFWRU + LV WKH REVHUYDWLRQPDWUL[ N5 LV WKH FRYDULDQFHRI WKHPHDVXUHPHQW
QRLVH NY
$W WKH ILUVW VWHS RI WKH DOJRULWKP WKH YDOXHV RI [ DQG 3 DUH LQLWLDOL]HGZLWK WKH SULRU
NQRZOHGJHDERXWWKHV\VWHP,WLVQRWDWULYLDOWDVNWRWXQHWKHYDOXHVRIWKHFRYDULDQFH 5 DQG 4 7KHVHYDOXHV LQIOXHQFH WKH SHUIRUPDQFHRI WKH ILOWHU DOWKRXJK WKHUH LVQRGLUHFW
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
10/22
4GPGYCDNG'PGTI[
PHWKRG RI FKRRVLQJ WKHP LQ UHDO WLPH DSSOLFDWLRQV DQG LW LVRIWHQ WKH FDVH WKDW WKH\ DUHVHOHFWHGLQDWULDODQGHUURUPHWKRG7KH([WHQGHG.DOPDQ)LOWHUHVWLPDWRULVLPSOHPHQWHGXVLQJ0DWODEIXQFWLRQ7KHLQSXWVIRU
WKHIXQFWLRQDUHWKHVWDWRUYROWDJHVDQGWKHVWDWRUFXUUHQWVDUHWKHQRLVHPHDVXUHPHQWV)LJVKRZVWKHHVWLPDWHGVWDWHYDULDEOHVWKHVWDWRUDQGURWRUGTD[LVIOX[HV)LJVKRZVWKHURWRUIOX[PDJQLWXGHDQGWKHURWRUIOX[YHFWRUDQJOHFDQEHVHHQIURP)LJ
)LJ(VWLPDWHGVWDWRUDQGURWRUGTIL[HGD[LVIOX[HVXVLQJ(.)
)LJ(VWLPDWHGURWRUIOX[PDJQLWXGHLQGTURWDWLQJIUDPHXVLQJ(.)
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
11/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
7KH HVWLPDWHG HOHFWURPDJQHWLF WRUTXH DQG WKH URWRU VSHHGRI WKH LQGXFWLRQ GULYH FDQ EHREVHUYHGLQ)LJDQG)LJ
)LJ(VWLPDWHGURWRUIOX[DQJOHLQGTURWDWLQJIUDPHXVLQJ(.)
)LJ(VWLPDWHGHOHFWURPDJQHWLFWRUTXHXVLQJ(.)
)LJ(VWLPDWHGURWRUVSHHGXVLQJ(.)
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
12/22
4GPGYCDNG'PGTI[
7U+UGUVKOCVQT,QRUGHUWRLQWHJUDWHWKLVHVWLPDWRUPRGHOLQWKHFRQWUROV\VWHPRIDQLQGXFWLRQPDFKLQHWKHVWDWRUYROWDJHVDQGFXUUHQWVDUHFRQVLGHUHGKHUHDVLQSXWVDQGWKHHVWLPDWHGRXWSXWVDUHWKH
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
> @
> @> @7UTUGVTVG
7
VTVG
7UTUGVTVG
LLLL\
XXX
[
\\\\
7KHHVWLPDWRUPDWKHPDWLFDOPRGHOLVEDVHGRQWKHLQYHUVHPRGHORIWKHV\VWHP
GW
GL/L5X
/
/
GW
G
GW
GL/L5X
/
/
GW
G
VT
VVTVVTP
UVT
VGVVGVVG
P
UVG
7KH6LPXOLQNPRGHORIWKHHVWLPDWRUFDQEHREVHUYHGLQ)LJ
)LJ8V,VHVWLPDWRU6LPXOLQNPRGHO
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
13/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
7KHHOHFWURPDJQHWLFWRUTXHLVFDOFXODWHGOLNH
UTVGUGVTUV
PSH
//
/]7 \\\\
V
7KHURWRUIOX[PDJQLWXGHDQGDQJOHFDQEHZULWWHQDV
ED \\\ UUU
D
E
\
\O
U
U
U DUFWJ
7KHPDJQLWXGHDQGWKHDQJOHRIWKHURWRUIOX[HVWLPDWHVXVLQJ8V,VREVHUYHUDUHVKRZQLQ)LJDQG)LJDQGWKHHOHFWURPDJQHWLFWRUTXHHVWLPDWLRQLVVHHQLQ)LJ:LWK WKH HVWLPDWRU 8V,V JRRG RXWSXW HVWLPDWHV ZHUH REWDLQHG ZKHQ WKH PDFKLQH ZDV
VXSSOLHGZLWKYROWDJHVLQWKHUDQJHRIUDWHGYDOXH$WORZVSHHGUDQJHWKHDFTXLVLWLRQRIWKHYROWDJHVLVGLIILFXOWVRWKHVSHHGHVWLPDWLRQLVQRWDFFXUDWH
)LJ(VWLPDWHGURWRUIOX[PDJQLWXGHLQGTURWDWLQJIUDPHXVLQJ8V,VHVWLPDWRU
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
14/22
4GPGYCDNG'PGTI[
)LJ(VWLPDWHGURWRUIOX[DQJOHLQGTURWDWLQJIUDPHXVLQJ8V,VHVWLPDWRU
)LJ(VWLPDWHGHOHFWURPDJQHWLFWRUTXHXVLQJ8V,VHVWLPDWRU
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
15/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
7UGUVKOCVQT$ URWRU IOX[ HVWLPDWRU ZKLFK FDQ RSHUDWH LQ WKH UDQJH RI ORZ URWDWLRQDO VSHHGV FDQ EHGHVLJQHG LI RQH FRQVLGHUV DVPHDVXUHG LQSXWV WKH VWDWRU YROWDJHV DQG WKH URWRU DQJXODU
YHORFLW\$SRVWRDLD6FXWDUX7KLVHVWLPDWRULVGHULYHGE\GLUHFWV\QWKHVLVIURPWKHPDFKLQHVWDWHHTXDWLRQVZKLFKDUHZULWWHQLQWHUPVRIWKHGTD[LVFRPSRQHQWVRIWKHVWDWRUDQG URWRU IOX[ DV VWDWH YDULDEOHV 7KH VDPH DVVXPSWLRQV ZHUH PDGH DV LQ WKH SUHYLRXVVHFWLRQIRUWKHHVWLPDWRU8V,V:HZLOOGHQRWHWKHSDUDPHWHUVXVHGLQWKHREVHUYHUDVZHOODVWKHHVWLPDWHGYDULDEOHVZLWKWKH VDPH V\PEROV OLNH LQ WKHPDFKLQHPRGHOEXW KDYLQJ WKH VXSHUVFULSWH LQDGGLWLRQ7KXVWKHV\VWHPRIHTXDWLRQVRIWKHIOX[REVHUYHULVGHULYHGDVIROORZV
VG
HV
HUGH
U
HPH
VTH
VH
VGHV
HVG X7
/
/7
7GW
G\\Z\
\O
VT
H
V
H
UTHU
HPH
VT
H
VG
H
VHV
HVT
X7/
/
77GW
G
\\\Z
\
O
HUT
HU
HUG
HVGH
V
HP
HU
HUG 7
/
/
7GW
G\ZZ\\
\O
HUT
HUG
HU
HVTH
V
HP
HU
HUT
7/
/
7GW
G\\ZZ\
\O
7KH G\QDPLFV RI WKH IOX[ HVWLPDWRU GHVFULEHG E\ LV LQIOXHQFHG E\ WKH WLPHFRQVWDQWV
HV
HVHH
V 5
/7 V
DQG
HU
HUHH
U 5
/7 V
7KH HOHFWURPDJQHWLF WRUTXH LV UHFRQVWUXFWHG LQ WHUPV RI WKH HVWLPDWHG VWDWH YDULDEOHVVLPLODUO\WRHTXDWLRQ7KHURWRUIOX[PDJQLWXGHDQGURWRUIOX[DQJOHDUHFDOFXODWHGOLNHLQDQG7KH6LPXOLQNEORFNGLDJUDPVKRZLQJWKH8VHVWLPDWRUFDQEHVHHQLQ)LJ
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
16/22
4GPGYCDNG'PGTI[
)LJ8VHVWLPDWRU6LPXOLQNPRGHO,Q)LJ)LJDQG)LJVLPXODWLRQUHVXOWVDUHVKRZQIRUWKH8VHVWLPDWRUGXULQJDVWDUWXS RIWKHVTXLUUHO FDJH LQGXFWLRQPRWRU$UDWHGVSHHGFRPPDQGXQGHU IXOO WRUTXH
ORDGZDVXVHGLQWKHVLPXODWLRQV7KHPDJQLWXGHDQGWKHDQJOHRIWKHURWRUIOX[HVWLPDWHVDUHVKRZQLQ)LJDQG)LJDQGWKHHOHFWURPDJQHWLFWRUTXHHVWLPDWLRQLVVHHQLQ)LJ
)LJ(VWLPDWHGURWRUIOX[PDJQLWXGHLQGTURWDWLQJIUDPHXVLQJ8VHVWLPDWRU
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
17/22
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
18/22
4GPGYCDNG'PGTI[
0GWTCNPGVYQTMDCUGFURGGFGUVKOCVQT7KHLQSXWVWRWKHQHXUDOQHWZRUNVDUHWKHVWDWRUYROWDJHVDQGVWDWRUFXUUHQWVDWWLPHVWHS
NDQG N VG VT VG VTX X L L 7KHWDUJHWLVWKHURWRUVSHHGLQUHYROXWLRQVSHUPLQXWHDW
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
WKHVSHHGYDOXHXVLQJFXPVXPIURP0$7/$%7KH GHULYDWLYH FRPSRQHQW RI WKH VSHHGFDQ EH VHHQ LQ)LJ ZKLOH WKH HVWLPDWHG URWRUVSHHGDIWHUWKHLQWHJUDWLRQFDQEHIRXQGLQ)LJ$VLWFDQEHVHHQIURPWKHEHORZILJXUHVYHU\JRRGVLPXODWLRQUHVXOWVFDQEHREWDLQHGXVLQJQHXUDO QHWZRUN IRU VSHHG HVWLPDWLRQZKLFK FDQ EHXVHG LQ FRPELQDWLRQZLWK DQ\ RWKHUHVWLPDWRULQDVHQVRUOHVVYHFWRUFRQWUROVFKHPHRULQVHQVRUIXVLRQFRQWUROVFKHPH6LPRQ
)LJ7KHGHULYDWLYHFRPSRQHQWRIWKHURWRUVSHHGXVLQJQHXUDOQHWZRUN
)LJ7KHHVWLPDWHGURWRUVSHHGXVLQJQHXUDOQHWZRUN
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
19/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
4GCNVKOGUKOWNCVKQP
)RUWKHUHDOWLPHLPSOHPHQWDWLRQRIWKHZLQGWXUELQHV\VWHPDG63$&(&/3HPEHGGHG
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
HQFRGHU
S,QWKLVH[SHULPHQWWKHHQFRGHUOLQHV7RREWDLQWKHGHVLUHGVSHHGWKHGHOWD
SRVLWLRQVFDOHGKDVWREHGLYLGHGE\WKHVDPSOLQJWLPHV
G
GW 7
T TZ
'
8VLQJ WKHPHQWLRQHGPHDVXUHPHQWV WKHURWRU IOX[FRPSRQHQWV FDQEHHVWLPDWHGWRJHWKHUZLWK WKHURWRU IOX[DQJOH$OVR WKHHOHFWURPDJQHWLF WRUTXH FDQEHFRPSXWHGNQRZLQJWKHURWRUIOX[FRPSRQHQWVDQGKDYLQJWKHWZRVWDWRUFXUUHQWPHDVXUHPHQWV7KH7$DOIDEHWDGTEORFN WUDQVIRUPV WKH URWRU IOX[ FRPSRQHQWV IURP IL[HG UHIHUHQFH IUDPH WR GT URWDWLQJUHIHUHQFHIUDPHXVLQJWKHHVWLPDWHGURWRUIOX[DQJOH7KLVWUDQVIRUPDWLRQLVQHFHVVDU\IRUWKHILHOGRULHQWHGYHFWRUFRQWURORIWKHLQGXFWLRQPRWRUGULYH+DYLQJWKHURWRUIOX[FRPSRQHQWVLQURWDWLQJUHIHUHQFHIUDPHWKHURWRUIOX[PDJQLWXGHLVFDOFXODWHGXVLQJHTXDWLRQ
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
20/22
4GPGYCDNG'PGTI[
)LJ5HDOWLPH6LPXOLQNPRGHORIWKHPHDVXUHPHQWFKDQQHOVDQGWKHHVWLPDWRU7KHUHDOWLPHHVWLPDWHGYDOXHVFDQEHIROORZHGRQWKHG6SDFH&RQWURO'HVNDVVHHQLQ)LJ
)LJ5HDOWLPHVLPXODWLRQUHVXOWVXVLQJG6SDFH&RQWURO'HVN
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
21/22
/QFGNNKPICPF5KOWNCVKQPQHCP+PFWEVKQP&TKXGYKVJ#RRNKECVKQPVQC5OCNN9KPF6WTDKPG)GPGTCVQT
%QPENWUKQPU
,Q WKLV SDSHU VLPXODWLRQ RI D ZLQG HQHUJ\ FRQYHUVLRQ V\VWHP EDVHG RQ WKH LQGXFWLRQ
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
4GHGTGPEGU
/7DPDV= 6]HNHO\ )HHGEDFN 6LJQDOV (VWLPDWLRQ RI DQ ,QGXFWLRQ 'ULYHZLWK$SSOLFDWLRQ WR D 6PDOO :LQG 7XUELQH *HQHUDWRU $XWRPDWLRQ &RPSXWHUV DQG$SSOLHG0DWKHPDWLFV9ROXPH1XPEHUS
6]HNHO\ = ([WHQGHG 6SHHG&RQWURO RIDQ ,QGXFWLRQ 0RWRU'ULYHXWLOL]LQJ 5RWRU)OX[ 2ULHQWDWLRQ 7HFKQLTXH LQ 5HDO7LPH 0DVWHUV 7KHVLV 3XUGXH 8QLYHUVLW\&DOXPHW+DPPRQG,QGLDQD86$
6FXWDUX*K$SRVWRDLD&0$7/$%6LPXOLQN0RGHORID6WDQG$ORQH,QGXFWLRQ*HQHUDWRU LQ3URF237,0 7UDQVLOYDQLD8QLYHUVLW\ RI%UDVRY5RPDQLD0D\YRO,,SS
$SRVWRDLD & 6FXWDUX*K $'\QDPLF 0RGHORI D:LQG7XUELQH 6\VWHP LQ3URFHHGLQJV237,07UDQVLOYDQLD8QLYHUVLW\RI%UDVRY5RPDQLD0D\
YRO,,SS$ .HOHPHQ0 ,PHFV 9HFWRU &RQWURORI$&'ULYHV9ROXPH 9HFWRU&RQWURO RI,QGXFWLRQ0DFKLQH'ULYHV20,..3XEOLVKHU%XGDSHVW+XQJDU\
.DOPDQ 5( $ QHZ DSSURDFK WR OLQHDU ILOWHULQJ DQG SUHGLFWLRQ SUREOHPV
7UDQVDFWLRQVRIWKH$60(-RXUQDORI%DVLF(QJLQHHULQJ9RO
6LPRQ'2SWLPDO6WDWH(VWLPDWLRQYO:LOOH\,QWHUVFLHQFH&DXGLOO0&%XWOHU 8QGHUVWDQGLQJ1HXUDO1HWZRUNV &RPSXWHU([SORUDWLRQV
9ROVDQG&DPEULGJH0$7KH0,73UHVV
8/3/2019 InTech-Modeling and Simulation of an Induction Drive With Application to a Small Wind Turbine Generator
22/22
4GPGYCDNG'PGTI[