0% found this document useful (0 votes)
19 views8 pages

Early Estimation of Power

Power Estimation

Uploaded by

GoobeD'Great
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
0% found this document useful (0 votes)
19 views8 pages

Early Estimation of Power

Power Estimation

Uploaded by

GoobeD'Great
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 8

(DUO\(VWLPDWLRQRI/HDNDJH3RZHULQDQ$6,&'HVLJQ)ORZ


5DKXO.XPDU &35DYLNXPDU 

4XLFN/RJLF6RIWZDUH , 3YW/WG 7H[DV,QVWUXPHQWV,QGLD3YW/WG


-%1DJDU0DLQ5RDG-%1DJDU :LQG7XQQHO5RDG0XUJHVKSDO\D
%DQJDORUH,QGLD %DQJDORUH,QGLD
UNXPDU#TXLFNORJLFFRP UDYLNXPDU#WLFRP


$EVWUDFW
6\QWKHVLV RI 9/6, V\VWHPV XVLQJ WKH 'HHS 6XEPLFURQ 6\VWHPRQ&KLS WHFKQRORJ\ SRVHV VHYHUDO FKDOOHQJHV WR WKH GHVLJQHUV

,QWHUFRQQHFWV HIIHFWV VXFK DV FURVVWDON QRLVH FURVVWDON GHOD\ LQGXFWLYH FRXSOLQJ DQG ,5 GURS SRVH GHVLJQ FKDOOHQJHV UHVXOWLQJ LQ

PDQ\LWHUDWLRQVWRDFKLHYHSURSHU WLPLQJ,QDGGLWLRQ SUREOHPV VXFKDVH[FHVVLYHVWDWLFSRZHU GLVVLSDWLRQ FKDQQHOKRW FDUULHUHIIHFW

DQGJDWHR[LGHLQWHJULW\XQGHUPLQHWKHUHOLDELOLW\RIWKHPDQXIDFWXUHGFLUFXLWV,QEDWWHU\GULYHQDSSOLFDWLRQVVXFKDVFHOOSKRQHVLWLV

LPSRUWDQW WR PLQLPL]H ERWK G\QDPLF DV ZHOO DV VWDWLF SRZHU GLVVLSDWLRQ LQ RUGHU WR SURORQJ WKH OLIH RI WKH EDWWHU\ 3RZHU

PLQLPL]DWLRQ LV HTXDOO\ LPSRUWDQW LQ FLUFXLWV WKDW DUH GULYHQ E\ OLQH SRZHU VLQFH HODERUDWH FRROLQJ DUUDQJHPHQWV DQG H[SHQVLYH

SDFNDJLQJ PDWHULDOV ZLWK ORZ WKHUPDO UHVLVWDQFH EHFRPH QHFHVVDU\ WR FRQWURO WKH FRUH WHPSHUDWXUH UHVXOWLQJ LQ KLJK FRVW 6WDWLF

FXUUHQW LQ D &026 FLUFXLW FRQVLVWV RI VHYHUDO FRPSRQHQWV VXFK DV VKRUWFLUFXLW FXUUHQWV VXEWKUHVKROG OHDNDJH DQG 31MXQFWLRQ

OHDNDJH,''4WHVWLQJZKLFKDWWHPSWVWRGLIIHUHQWLDWHEHWZHHQJRRGDQGIDXOW\FKLSVEDVHGRQWKHVWDWLFFXUUHQWEHFRPHVGLIILFXOWWR

SUDFWLFH IRU '60 FLUFXLWV VLQFH WKH VWDWLF FXUUHQW LQ ERWK JRRG DQG IDXOW\ FKLSV FDQ EH ODUJH $FFXUDWH HVWLPDWLRQ RI OHDNDJH FXUUHQW

GLVWULEXWLRQXQGHUYDULRXV3URFHVV9ROWDJH7HPSHUDWXUHFRUQHUVLVWKHUHIRUHFUXFLDOGXULQJVHYHUDOVWDJHVRI$6,&GHVLJQIORZ6XFK

DQ DFFXUDWH HVWLPDWH FDQ RQO\ EH GHULYHG ZKHQ WKH SK\VLFDO V\QWKHVLV RI WKH GHVLJQ LV FRPSOHWH LQ DOO UHVSHFWV +RZHYHU GHVLJQ

KRXVHV WKDW XVH DQ 57/ V\QWKHVLV EDVHG IORZ IRU GHVLJQLQJ $6,&V UHTXLUH D TXLFN DQG UHDVRQDEO\ DFFXUDWH HVWLPDWH RI VWDWLF SRZHU

GLVVLSDWLRQ LQ WKH HDUO\ SDUW RI WKH GHVLJQ OLIH F\FOH 7KLV LV LPSRUWDQW IRU PDNLQJ HDUO\ SDFNDJLQJ GHFLVLRQV DQG SODQQLQJ WKH SRZHU

JULG.HHSLQJ WKLVLQYLHZZHSURSRVHD ERWWRPXSPHWKRGRORJ\ZKLFKHQDEOHVHVWLPDWLRQRIVWDWLFSRZHUHDUO\LQWKHGHVLJQSKDVH


OLE OLE   OLE OLE
2XU PRGHO LV EDVHG LQ WKH H[SHULPHQWDO GDWD REWDLQHG IURP VLPXODWLRQV DW WKH GHVLJQ OHYHO OQ 3OHDN  6 OQ &HOOV & ZKHUH 6 
OLE
DQG &  DUH WKH WHFKQRORJ\GHSHQGHQW VORSH DQG LQWHUFHSW SDUDPHWHUV RI WKH PRGHO DQG ³&HOOV´ LV WKH QXPEHU RI FHOOV LQ WKH GHVLJQ

7KH PRGHO LV YDOLGDWHG IRU D ODUJH EHQFKPDUN FLUFXLW DQG WKH OHDNDJH SRZHU SUHGLFWHG E\ RXU PRGHO LV ZLWKLQ  RI WKH DFWXDO

OHDNDJHSRZHUSUHGLFWHGE\DSRSXODUWRROXVHGLQWKHLQGXVWU\




.H\:RUGV/HDNDJH3RZHU/HDNDJH&XUUHQW3RZHU(VWLPDWLRQ/LQHDU5HJUHVVLRQ,''47HVWLQJ'HHS6XEPLFURQ

,QWURGXFWLRQ

7KH$6,&'HVLJQ3URFHVVZKLFKZDVFOHDUO\GLYLGHGLQWR³)URQW(QG´DQG³%DFN(QG´DIHZ\HDUVDJRKDVFKDQJHG
FRQVLGHUDEO\ LQ WKH PRGHUQ WLPHV 7KH OLQH EHWZHHQ )URQW (QG DQG %DFN (QG LV QR PRUH D VKDUS RQH )URQW (QG
GHVLJQHUVDQGGHVLJQWRROVPXVWEHNQRZOHGJHDEOHDERXWWKHSK\VLFDOSKHQRPHQDLQGHYLFHVDQGLQWHUFRQQHFWVVLQFH
WKH\ LPSDFW WKH HVWLPDWLRQ RI GHVLJQ SDUDPHWHUV GXULQJ GHVLJQ V\QWKHVLV 6LPLODUO\ %DFN (QG GHVLJQHUV KDYH WR EH
DZDUH RI  WKH PHFKDQLVPV LQ WKH ORJLF V\QWKHVLV SURFHVV ZKHQ FUHDWLQJ FHOO OLEUDULHV DQG FKDUDFWHUL]LQJ WKHP 7KH
³GHVLJQ FORVXUH´ SUREOHP ZKLFK UHIHUV WR WKH RSWLPL]DWLRQ RI WKH GHVLJQ XQGHU YDULRXV FRQVWUDLQWV UHODWLQJ WR
SHUIRUPDQFHDUHDSRZHUUHOLDELOLW\WHVWDELOLW\DQGPDQXIDFWXUDELOLW\KDXQWVWKHFKLSGHVLJQFRPPXQLW\'HVLJQHUV
DUH IDFHG ZLWK D ³FKLFNHQ DQG WKH HJJ´ VFHQDULR ZKHUH ORJLF GHVLJQ FDQQRW EH GRQH XQOHVV LQIRUPDWLRQ DERXW WKH
SK\VLFDOLPSOHPHQWDWLRQLVDYDLODEOHDQGSK\VLFDOGHVLJQFDQQRWSURFHHGZLWKRXWDORJLFDOGHVLJQ7REUHDNWKLVORRS
GHVLJQHUVKDYHWRUHO\RQHDUO\HVWLPDWHVRISK\VLFDOSURSHUWLHVVXFKDVZLUHGHOD\,5GURSOHDNDJHSRZHUHWFVRWKDW
WKHGHDGORFNLVEURNHQDQGORJLFGHVLJQFDQSURFHHG6XFKDQHVWLPDWLRQSURFHGXUHPXVWEHDFFXUDWHVRDVWRUHGXFHWKH
QXPEHURILWHUDWLRQVEXWDWWKHVDPHWLPHWKHHVWLPDWLRQSURFHGXUHPXVWEHIDVWLQRUGHUWRUHGXFHWKHWLPHSHULWHUDWLRQ

,Q WKLVSDSHUZHFRQVLGHUWKHSUREOHP RIHVWLPDWLQJWKHOHDNDJHSRZHU LQDFRUHEDVHGV\VWHPRQFKLSGHVLJQ DWDQ
HDUO\ SKDVH LQ WKH OLIH F\FOH RI WKH GHVLJQ /HDNDJH SRZHU RI &026 FKLSV ZDV LQFRQVHTXHQWLDO XQWLO WKH GHHS VXE
PLFURQ HUD VDZ WKH DUULYDO RI PXOWLPLOOLRQ JDWH GHVLJQV /HDNDJH FXUUHQW LQ D &026 FLUFXLW LV PDLQO\ GXH WR WZR
UHDVRQVQDPHO\31MXQFWLRQOHDNDJHDQGVXEWKUHVKROGOHDNDJH7KHQXPEHURIUHYHUVHELDVHGSDUDVLWLF31MXQFWLRQV
LQ D PXOWLPLOOLRQJDWH &026 FKLS ZLOO DOVR EH LQ WKH PLOOLRQV PDNLQJ WKH FRQWULEXWLRQ WR WKH OHDNDJH FXUUHQW QRQ
QHJOLJLEOH 7KH FRQWULEXWLRQ RIWKH VXEWKUHVKROG FXUUHQW WRZDUGV WKHWRWDOVWDWLFFXUUHQW LVDOVRQRQWULYLDO GXH WRWKH
VDPHUHDVRQH[FHSWWKDWWKHFRQWULEXWLRQLQFUHDVHVGXHWRWKHUHGXFWLRQLQWKUHVKROGYROWDJHGXHWRGHYLFHVFDOLQJ

7KHUHDUHVHYHUDOUHDVRQVIRUZK\HDUO\HVWLPDWHVRIOHDNDJHSRZHUEHFRPHQHFHVVDU\LQDQ$6,&GHVLJQIORZ

D  7KHUHOLDELOLW\HVWLPDWLRQDOJRULWKPVUHTXLUHDFFXUDWHSUHGLFWLRQRIOHDNDJHFXUUHQWDQGOHDNDJHSRZHU
E  3DFNDJLQJGHFLVLRQVDUHDIIHFWHGE\WKHHVWLPDWLRQRISRZHUGLVVLSDWLRQ
F  7KH VXFFHVV RI ,''4 WHVWLQJ ZKLFK LV FRQVLGHUHG HVVHQWLDO IRU DGGUHVVLQJ EULGJLQJ IDXOWV UHVWV KHDYLO\ RQ
DFFXUDWHNQRZOHGJHRIOHDNDJHSRZHU

$6,& GHVLJQ KRXVHV ZKLFK UHO\ RQ DXWRPDWHG ORJLF V\QWKHVLV DQG SK\VLFDO GHVLJQ ZLOO EHQHILW IURP D WRRO WKDW FDQ
SUHGLFWOHDNDJHSRZHUDFFXUDWHO\DWDQHDUO\VWDJHLQWKHGHVLJQOLIHF\FOHDQGDWWKHVDPHWLPHLQWHJUDWHZHOOZLWKWKH
RWKHUWRROVLQWKHGHVLJQIORZ,QWKLVSDSHURXULQWHQWLRQLVWRGHVFULEHDERWWRPXSPHWKRGRORJ\IRUOHDNDJHSRZHU
HVWLPDWLRQ7RROV VXFK DV3RZHU&RPSLOHUIURP6\QRSV\V>@UHSRUWWKHFKLSOHYHOOHDNDJHSRZHUE\FRPSXWLQJWKH
VDPH IURP WKH FHOOOHYHO FKDUDFWHUL]DWLRQ GDWD HPEHGGHG LQ FHOO PRGHOV +RZHYHU D GHVLJQHU ZLOO W\SLFDOO\ XVH
3RZHU&RPSLOHUWRHVWLPDWHG\QDPLFDQGOHDNDJHSRZHUDIWHUWKHSK\VLFDOGHVLJQLQIRUPDWLRQLVFRPSOHWHO\DYDLODEOH
VLQFH LQWHUFRQQHFW ORDG FDSDFLWDQFHV EHFRPH NQRZQ RQO\ DIWHU SK\VLFDO GHVLJQ )XUWKHU 3RZHU&RPSLOHU UHTXLUHV D
FRPSOHWHJDWHOHYHOQHWOLVWZKLFKLVQRWDYDLODEOHXQWLOORJLFV\QWKHVLVLVFRPSOHWH6LQFHSDFNDJLQJGHFLVLRQVDQGWKH
FKLSWHVWSODQDUHPDGHPXFKEHIRUHORJLFV\QWKHVLVLVFRPSOHWHGWKHGHVLJQHUFDQQRWZDLWXQWLODJDWHOHYHOQHWOLVWLV
UHDG\WRJHWDQHVWLPDWHRIOHDNDJHSRZHU,IWKHGHVLJQXVHV,3EORFNVZKRVHLQWHUQDOVWUXFWXUHLVXQNQRZQXVLQJWKH
FRQYHQWLRQDOSRZHUHVWLPDWLRQIORZZLOOQRWEHSRVVLEOH7KHDERYHFRQVLGHUDWLRQVFOHDUO\GHPRQVWUDWHWKHQHHGIRUD
KLHUDUFKLFDO SRZHU HVWLPDWLRQ IORZ 7KH UHGXFWLRQ LQ F\FOH WLPH IURP IROORZLQJ VXFK D ERWWRPXS KLHUDUFKLFDO
SURFHGXUHLVDQDGGHGERQXV

7KHHVWLPDWLRQPHWKRGRORJ\SURSRVHGLQWKLVSDSHUUHOLHVRQDPRGHOIRUOHDNDJHSRZHUWKDWFDQEHEXLOWE\UXQQLQJ
3RZHU&RPSLOHURQVPDOOHUEORFNVRIWKHGHVLJQ7KHPDWKHPDWLFDOPRGHOUHODWHVWKHOHDNDJHSRZHUWRWKHQXPEHURI
JDWHVLQWKHGHVLJQDQGDEVWUDFWVDZD\WKHRWKHUIDFWRUVWKDWLQIOXHQFHWKHOHDNDJHSRZHUVXFKDVWKHULFKQHVVRIWKHFHOO
OLEUDU\ DQG WKH ZD\ ORJLF RSWLPL]DWLRQ DQG WHFKQRORJ\ PDSSLQJ ZHUH SHUIRUPHG WKURXJK V\QWKHVLV VFULSWLQJ DV
FRQVWDQWV LQ WKH PRGHO &OHDUO\ WKH PRGHO ZLOO EH D ³VWDWLVWLFDO PRGHO´ LI WKH FRQVWDQWV DUH REWDLQHG E\ UXQQLQJ
H[SHULPHQWVRQVPDOOHUEORFNVWKDWGRQRWFRPSULVHWKHFXUUHQWGHVLJQ7KHPRGHOZLOOEHD³FXVWRPPRGHO´ZKHQWKH
VPDOOHUEORFNVEHORQJWRWKHFXUUHQWGHVLJQ

7KHSDSHULVRUJDQL]HGDVIROORZV:HEHJLQZLWKDEULHIUHYLHZRIWKHOHDNDJHSRZHUHVWLPDWLRQWHFKQLTXHVLQ6HFWLRQ


,Q6HFWLRQDPRGHOIRUOHDNDJHSRZHUHVWLPDWLRQLVSUHVHQWHG,Q6HFWLRQWKHSURSRVHGPRGHOLVYDOLGDWHGIRULWV
DFFXUDF\ZLWKDQH[DPSOHFLUFXLW)LQDOO\FRQFOXVLRQVDUHSUHVHQWHGLQ6HFWLRQ

5HODWHG:RUN

7KH WZR PDLQ OHDNDJH PHFKDQLVPV FRQWULEXWLQJ WR OHDNDJH SRZHU DUH D  6XEWKUHVKROG OHDNDJH WKLV FRPSRQHQW RI
OHDNDJHSRZHUKDVDQH[SRQHQWLDOUHODWLRQVKLSZLWKWKHWKUHVKROGYROWDJH>@E SQMXQFWLRQOHDNDJHWKLVFRPSRQHQWLV
D IXQFWLRQ RI MXQFWLRQ DUHD DQG GRSLQJ FRQFHQWUDWLRQ DQG FDQ EH XVXDOO\ LJQRUHG >@7KHUHIRUH VXEWKUHVKROG
FRPSRQHQWRIOHDNDJHFXUUHQWLVGRPLQDQWLQVXEPLFURQWHFKQRORJLHVDQGPRUHIRFXVKDVEHHQSDLGWRLWVHVWLPDWLRQ
)RUXOWUDGHHSVXEPLFURQFLUFXLWVJDWHR[LGHWXQQHOLQJFDQEHDPDMRUFRQWULEXWRUWROHDNDJHSRZHUGLVVLSDWLRQ
7KHZRUNSUHVHQWHGLQWKHOLWHUDWXUHFRQVLGHUVORJLFVWDWHVDWWKHLQSXWVRIWKHJDWHVIRUOHDNDJHSRZHUHVWLPDWLRQ7KH


LQSXWSDWWHUQGHSHQGHQFHRIOHDNDJHFXUUHQWIRUDLQSXW1$1'JDWHLVLOOXVWUDWHGLQ7DEOH,Q>@5R\HWDOSURSRVHG
D WUDQVLVWRUVWDFNLQJPRGHOIRUOHDNDJHSRZHUHVWLPDWLRQDWWKHJDWHOHYHO7KHLUZRUNXVHV%6,0PRGHOHTXDWLRQV>@
>@IRUFDOFXODWLQJWKHVXEWKUHVKROGFXUUHQWRIWKH026WUDQVLVWRUVLQWKHVWDFN
7KHVWDFNLQJPRGHOFDOFXODWHVWKHOHDNDJHFRQWULEXWLRQRIWKHWUDQVLVWRUVWKDWDUHLQWKHRIIVWDWHWKHWUDQVLVWRUVWKDWDUH
RQDUHDVVXPHGWREHVKRUWFLUFXLWV)RUWUDQVLVWRUVWKDWDUHFRQQHFWHGLQSDUDOOHOWKHIROORZLQJUXOHVDUHDSSOLHG
• ,I ERWK WUDQVLVWRUV DUH WXUQHG RII WKH OHDNDJH FRQWULEXWLRQ RI HDFK WUDQVLVWRU LV FDOFXODWHG VHSDUDWHO\ DQG DGGHG
WRJHWKHU
• ,IRQHRIWKHWUDQVLVWRUVLVRQDQGWKHRWKHULVRII WKHQWKHOHDNDJHFRQWULEXWLRQRIWKHRIIWUDQVLVWRULVQRWWDNHQLQWR
FRQVLGHUDWLRQ
7KHVWHSVLQYROYHGLQFDOFXODWLQJWKHVXEWKUHVKROGFXUUHQWVRIWKHWUDQVLVWRUVWKDWDUHWXUQHGRIILQDVWDFNDUHJLYHQLQ
>@ $IWHU WKH VXEWKUHVKROG FXUUHQWV DQG WKH 9'6 IRU HDFK WUDQVLVWRUKDYHEHHQHVWLPDWHGWKHWRWDO OHDNDJHSRZHULV
FDOFXODWHGXVLQJ(T  
3OHDN = ∑ , '6TL 9 '6TL 
L
,'6TLLVWKHTXLHVFHQWOHDNDJHRIWKHLWK WUDQVLVWRUWKDWLVRII DQG9'6TLLVWKHGUDLQVRXUFHYROWDJHRIWKHWUDQVLVWRU7KH
OHDNDJHSRZHUIRUHYHU\JDWHLVFDOFXODWHGLQDVLPLODUPDQQHU$VLPLODUDSSURDFKLVDOVRSUHVHQWHGLQ>@
,Q>@DJHQHWLFDOJRULWKPLVXVHGIRUHVWLPDWLQJWKHPLQLPXPDQGPD[LPXPOHDNDJHSRZHU7KHGLVDGYDQWDJHRIWKH


DSSURDFKHV PHQWLRQHG DERYH LV WKDW WKH\ DUH QRW SUDFWLFDO IRU ODUJH FLUFXLWV 7KH PHWKRGV RI >@ DQG >@ UHO\ RQ
VLPXODWLRQ LW LV SUDFWLFDOO\ LPSRVVLEOHWR VLPXODWHDODUJHFLUFXLW IRUDOOSRVVLEOHLQSXWVLQRUGHUWRHVWLPDWHOHDNDJH
SRZHU 7KH FLUFXLWV XVHG LQ >@ DUH VPDOO LQ FRPSDULVRQ WR WKH SUHVHQW GD\ 9/6, FLUFXLWV WKDW KDYH PLOOLRQV RI
WUDQVLVWRUV
7RDGGUHVVWKHLVVXHRIFLUFXLWVL]HZHSURSRVHDVLPSOHPRGHOZKLFKSUHGLFWVWKHOHDNDJHSRZHUEDVHGRQWKHQXPEHU


RIJDWHV RUFHOOV LQWKHGHVLJQ:HEHOLHYHWKDWPRVWSURMHFWPDQDJHUVZLOOKDYHDIDLUO\JRRGHVWLPDWHRIWKHQXPEHU


RIJDWHVLQWKHGHVLJQDWDQHDUO\VWDJHLQWKHSURMHFWDQGFDQPDNHXVHRIRXUPRGHOWRPDNHDQHDUO\HVWLPDWLRQRIWKH
OHDNDJHSRZHUFRQVXPSWLRQRIWKHFKLS

3URSRVHG$SSURDFK



7KHDSSURDFKIROORZHGE\XV LVEDVHGRQH[SHULPHQWDOO\HVWLPDWLQJWKH OHDNDJHSRZHU IRUDVHWRIVPDOOEHQFKPDUN
FLUFXLWVDQGXVLQJVWDWLVWLFDOWHFKQLTXHVIRUDUULYLQJDWDVLPSOHOLQHDUUHJUHVVLRQPRGHOIRUOHDNDJHSRZHU

 6RIWZDUH(QYLURQPHQWIRU(VWLPDWLRQ



,Q PRVW GHVLJQ KRXVHV LW LV FRPPRQ WR XVH D V\QWKHVLVEDVHG $6,& GHVLJQ IORZ :H GHVFULEH D IORZ WKDW LV HDVLO\
SUDFWLFDEOHLQVXFKHQYLURQPHQWV6HH)LJXUH7KHFLUFXLWGHVFULSWLRQVPXVWEHDYDLODEOHLQ9HULORJ9+'/RU(',)
IRUPDWV7KHWLPLQJFRQVWUDLQWVDQGRSHUDWLQJFRQGLWLRQVDUHIHGWRWKHV\QWKHVLVWRROWKURXJKDVFULSW7KHV\QWKHVLV
WRRODOVRWDNHVDVLQSXWVDWDUJHWVWDQGDUGFHOOOLEUDU\DQGRSWLRQDOO\DOLEUDU\RISUHGHVLJQHGFLUFXLWEORFNV,QRXURZQ
ZRUNZHXVHGWKH6\QRSV\V'HVLJQ&RPSLOHUDVWKHV\QWKHVLVWRRODQGWKH760&µP WHFKQRORJ\VWDQGDUGFHOO
OLEUDU\ 7KH OHDNDJH SRZHU DQG WKH QXPEHU RI FHOOV XVHGE\WKH GHVLJQDUHH[WUDFWHG IURPWKHSRVWV\QWKHVLVUHSRUWV
WKURXJK3HUOVFULSWV:HXVHGWKH,6&$6DQG,6&$6FLUFXLWVLQRXUZRUN7KHH[SHULPHQWVZHUHSHUIRUPHGIRU
WKUHH³FRUQHUV´RIWKHWDUJHWOLEUDU\VORZIDVWDQGW\SLFDO7KHOLEUDU\³FRUQHUV´DUHFKDUDFWHUL]HGIRUWKUHHGLIIHUHQW
RSHUDWLQJFRQGLWLRQV VHH7DEOH 
7KH SXUSRVH RI REWDLQLQJ WKH OHDNDJH SRZHU IRU WKH WKUHH OLEUDULHV LV WR ILQG RXW ZKLFK OLEUDU\ H[KLELWV PD[LPXP


OHDNDJHSRZHUGLVVLSDWLRQIRUDFLUFXLW$VDQH[DPSOH&EHQFKPDUNFLUFXLWZDVV\QWKHVL]HGIRUDOOWKHWKUHHOLEUDULHV
DQGWKHOHDNDJHSRZHUDQGWKHQXPEHURIFHOOVDUHVKRZQLQ7DEOH7KHYDULDWLRQLQWKHOHDNDJHSRZHUIRUWKHWKUHH
OLEUDULHVLVGHSHQGHQWRQWKHRSHUDWLQJFRQGLWLRQDQGWKHQXPEHURIFHOOV7KHYDULDWLRQLQWKHQXPEHURIFHOOVLVGXHWR
WKH PDSSLQJ DOJRULWKP XVHG E\ WKH V\QWKHVLV WRRO 7KH OHDNDJH SRZHU FDOFXODWLRQ LPSOHPHQWHG LQ 6\QRSV\V 3RZHU
&RPSLOHUFRQVLGHUVERWKVXEWKUHVKROGDQGSQMXQFWLRQOHDNDJHVIRUOHDNDJHSRZHUHVWLPDWLRQ
7KH H[SHULPHQWDO GDWD IRU WKH RWKHU EHQFKPDUN FLUFXLWV LV VKRZQ LQ 7DEOH  7KH OHDNDJH SRZHU LV H[SHULPHQWDOO\


REWDLQHGIRUWKHWKUHH³FRUQHUV´RIWKHWDUJHWOLEUDU\IRUDOOWKHFLUFXLWV)URP7DEOHZHREVHUYHWKDWIRUDOOFLUFXLWV
WKHOHDNDJHREWDLQHGIRUWKHVORZFRUQHULVWKHPD[LPXP

/LQHDU5HJUHVVLRQ0RGHO

)RUHDFK³FRUQHU´RIWKHOLEUDU\WKHOHDVWVTXDUHHVWLPDWLRQWHFKQLTXHZDVXVHGIRUDUULYLQJDWDOLQHDUPRGHORIOHDNDJH
SRZHUDVDIXQFWLRQRIWKHQXPEHURIFHOOV7KHOLQHDUPRGHOGHVFULEHGVXFFLQFWO\DV \ = P[ + F  KDVWZRLPSRUWDQW
SDUDPHWHUVWKHVORSHP DQGWKHLQWHUFHSWF 7KHVHSDUDPHWHUVDUHGDWDGHSHQGHQWLHLIWKHGDWDSRLQWVDUHVFDWWHUHG
WKHQWKHSHUFHQWDJHHUURULQWKHSUHGLFWLRQZLOOEHODUJH7KHVORSHDQGLQWHUFHSWGHQRWHGKHUHE\6OLEDQG&OLEDUHVKRZQ
LQ7DEOHIRUWKHWKUHHOLEUDULHV7KHOHDNDJHSRZHUPRGHOREWDLQHGLVJLYHQE\(TQ  +HUH&HOOVLVWKHQXPEHURI
FHOOVLQWKHGHVLJQ
OQ 3OHDN = 6 OLE OQ &HOOV + & OLE  
OLE

,IZHH[SUHVVWKHFRQVWDQW& DVOQχ WKHQWKHDERYHHTXDWLRQFDQEHZULWWHQDV


OLE OLE

3OHDN = χ OLE &HOOV 6 


OLE OLE


7KHPRGHOKDVWZRSDUDPHWHUVQDPHO\6OLEDQG&OLE ZKLFKFDQEHHVWLPDWHGXVLQJWKHIROORZLQJHTXDWLRQV

∑ OQ 3OHDNOQ &HOOV − ∑ OQ 3OHDN ∑ OQ &HOOV  Q
6 OLE =
OLE OLE

∑ OQ 3OHDN − ∑ OQ 3OHDN   Q
OLE  OLE

& OLE =   Q ∑ OQ &HOOV − OQ &HOOV∑ 3OHDN


OLE

)LJXUHVDQGVKRZWKHOHDNDJHSRZHU9VWKHQXPEHURIFHOOVIRUDOOWKHOLEUDULHVDQGWKHLUFRUUHVSRQGLQJOLQHDU
PRGHOV ,QWHUHVWLQJO\ZHVHHWKDWWKH SDUDPHWHU6OLELVFORVH WRXQLW\,Q RWKHUZRUGVWKHOHDNDJHSRZHUGLVVLSDWLRQ
JURZV DSSUR[LPDWHO\ OLQHDUO\ ZLWKWKHQXPEHU RIJDWHV7KHSDUDPHWHUχOLEWKXVUHSUHVHQWVWKHDSSUR[LPDWHOHDNDJH
SRZHUGLVVLSDWLRQSHUFHOO7KHSHUFHQWDJHHUURULQWKHSUHGLFWHGPRGHOIRUWKHWKUHHOLEUDULHVLVVKRZQLQ)LJXUH7KH
HUURUZDVPLQLPXPIRUWKHVORZFRUQHUDQGPD[LPXPIRUWKHIDVWFRUQHU7KHSORWLQ)LJXUHDOVRVKRZVWKHGLIIHUHQFH
LQWKHDFWXDOOHDNDJHSRZHURIWKHGHVLJQDQGWKDWSUHGLFWHGE\WKHOLQHDUPRGHO

9DOLGDWLRQRIWKH0DWKHPDWLFDO0RGHO

7KHOLQHDUPRGHOSUHVHQWHGLQWKHSUHYLRXVVHFWLRQZDVYDOLGDWHGIRULWVDFFXUDF\7KHH[DPSOHXVHGIRUWKLVSXUSRVHLV
D ELW '63 FRUH REWDLQHG IURP &DUQHJLH 0HOORQ 8QLYHULVW\ >@ 7KH FRUH LV IUHHO\ DYDLODEOH IRU GRZQORDG LQ WKH
SXEOLF GRPDLQ 7KH FRUH LV D GHULYDWLYH RI WKH 0RWRUROD¶V '63 '63 SURFHVVRU DQG LPSOHPHQWV D VXEVHW RI
LQVWUXFWLRQV SUHVHQW LQWKH 0RWRUROD¶V'63SURFHVVRU7KHFRUH LPSOHPHQWV+DUYDUGDUFKLWHFWXUHDQGFDQUHDG
WZRGDWDPHPRULHVLQDVLQJOHFORFNF\FOH7KHFRUHDUFKLWHFWXUHKDVIRXUXQLWV
• 'DWD$ULWKPHWLFDQG/RJLF8QLW $/8 LVWKHKHDUWRIWKH&08'63FRUH7KH$/8FRQWDLQVWKH;<$DQG%
UHJLVWHUVDORQJZLWKWKHPXOWLSO\DFFXPXODWHDQGDGGHUXQLWV
• $GGUHVV*HQHUDWLRQ8QLW $*8 JHQHUDWHVWKHDGGUHVVHVIRUDFFHVVLQJWKHGDWDPHPRULHV2QHLPSRUWDQWDVSHFWRI
WKH$*8LVLWVDELOLW\WRRSHUDWHLQGHSHQGHQWO\RIWKH$/8
• 3URJUDP&RQWURO8QLW 3&8 FRQWDLQVWKHSURJUDPFRXQWHU 3& DQGWKHIODJELWVIRUFRQWUROOLQJWKHRSHUDWLRQRI
WKH&08'63
• %XV6ZLWFKJHQHUDWHVLQVWUXFWLRQVWRPRYHGDWDDPRQJWKHPHPRULHV,WZRUNVLQFRQMXQFWLRQZLWKWKHDGGUHVVEXV
WRDFFRPSOLVKWKHGDWDWUDQVIHU
7KHFRUHZDVV\QWKHVL]HGE\WDUJHWLQJ760&¶VµP VWDQGDUGFHOOOLEUDU\7KHOHDNDJH SRZHUVREWDLQHGIURPWKH


6\QRSV\V 'HVLJQ &RPSLOHU IRU GLIIHUHQW XQLWV RI WKH FRUH DQG IRUWKH HQWLUHFRUHDUH VKRZQLQ 7DEOH 7KHOHDNDJH
SRZHUVSUHGLFWHGE\WKHOLQHDUPRGHODUHDOVRVKRZQLQ7DEOH$VFDQEHVHHQIURP7DEOHWKHHVWLPDWRUHUURUVRQ
WKHSRVLWLYHVLGHLQPRVWFDVHVIRUWKHFDVHRIWKH%XV6ZLWFKXQLWWKHHUURULVRQWKHQHJDWLYHVLGHLHWKHHVWLPDWRU
ZDVWRRRSWLPLVWLF,QIDFWWKHODUJHVWSHUFHQWDJHHUURULQSUHGLFWLRQLVDOVRIRUWKH%XV6ZLWFKXQLW:HDOVRVHHWKDWWKH
OHDNDJHSRZHUHVWLPDWHVIRUVPDOOHUFLUFXLWVDUHOHVVDFFXUDWHDVFRPSDUHGWRWKRVHIRUODUJHUGHVLJQV7KXVWKHPRGHO
FDQEHSUDFWLFDOIRUSUHGLFWLQJOHDNDJHSRZHUZHOOLQDGYDQFHIRUODUJHGHVLJQV

&RQFOXVLRQV

/HDNDJH SRZHU GLVVLSDWLRQ GXH WR 31MXQFWLRQ OHDNDJH DQG VXEWKUHVKROG OHDNDJH ZLOO EHFRPH WKH PRVW LPSRUWDQW
FRPSRQHQWRIRYHUDOOSRZHUGLVVLSDWLRQ7KHSUHVHQWWUHQGVLQWHFKQRORJ\LQQRYDWLRQFRXSOHGZLWKLQFUHDVLQJQXPEHU
RIWUDQVLVWRUVRQFKLSZLOOLQFUHDVHWKHOHDNDJHSRZHUWRPDJQLWXGHVWKDWDUHRIWKHVDPHRUGHUDVG\QDPLFSRZHURIWKH
FKLS :KLOH G\QDPLF SRZHU GHFUHDVHV TXDGUDWLFDOO\ ZLWK WKH UHGXFWLRQ LQ VXSSO\ YROWDJH OHDNDJH SRZHU LQFUHDVHV
H[SRQHQWLDOO\ZLWK WKHDVVRFLDWHGWKUHVKROGYROWDJH VFDOLQJ7KLVFUHDWHVDQHHGIRUFRVWHIIHFWLYHDQGIDLUO\DFFXUDWH
PRGHOVIRUHVWLPDWLQJOHDNDJHSRZHUHDUO\LQWKHGHVLJQF\FOHRI9/6,FLUFXLWV6XFKHDUO\SUHGLFWLRQVDUHQHFHVVDU\IRU
SODQQLQJWKHSRZHUGXULQJIORRUSODQQLQJDQGLQPDNLQJHDUO\GHFLVLRQVDERXWWKHSDFNDJLQJRIWKHFKLS(VWLPDWLRQRI
OHDNDJHSRZHULVDOVRXVHIXOLQ,''4WHVWLQJRI&026FKLSV
:HSUHVHQWHGDVLPSOHSUDFWLFDOERWWRPXSDSSURDFKIRUOHDNDJHFXUUHQWHVWLPDWLRQWKDWFDQEHXVHIXOWR$6,&GHVLJQ


KRXVHV7KHDGYDQWDJHRIWKHPRGHOLVWKDWLWRQO\UHTXLUHVLQIRUPDWLRQDERXWWKHQXPEHURIFHOOVLQWKHFLUFXLW7KH
WHFKQRORJ\DQGOLEUDU\GHSHQGHQWSDUDPHWHUV6OLEDQG&OLE DUHHPEHGGHGZLWKLQWKHPRGHODQGFDQEHHVWLPDWHGXVLQJ
RXUWHFKQLTXH,QRUGHUWRXVHWKHSURSRVHGPRGHODWDQHDUO\SKDVHLQWKHGHVLJQOLIHF\FOHDSURMHFWPDQDJHUPXVW
LQSXWWKHH[SHFWHGQXPEHURIJDWHVLQWKHGHVLJQZKLFKLVUHODWLYHO\HDVLHUWRSURYLGH7KHPRGHOFDQDOVREHH[WHQGHG
WRUHODWHWKHOHDNDJHSRZHUWRWKHDUHDRIWKHFKLSLQVWHDGRIWKHQXPEHURIJDWHVRQWKHFKLS7KHHVWLPDWLRQSURFHGXUH
FDQEHXVHGDWDQHDUO\SKDVHRIWKHGHVLJQOLIHF\FOHDQGFDQVDYHFRQVLGHUDEOHDPRXQWRIGHVLJQF\FOHWLPHVLQFHLW
GRHVQRWFDOOIRUWKHH[HFXWLRQRIDQ\VRIWZDUHWRRORQWKHJDWHOHYHOQHWOLVW

$FNQRZOHGJHPHQWV

3DUWRIWKLVZRUNZDVFDUULHGRXWZKHQWKHDXWKRUVZHUHDW,,7'HOKL:HDOVRWKDQN&RQWUROQHW,QGLD3YW/WGIRUWKH
FRPSXWDWLRQDOIDFLOLWLHVWRFDUU\RXWWKLVZRUN

5HIHUHQFHV

>@ 6 7KRPSVRQ 3 3DFNDQ DQG 0 %RKU 026 6FDOLQJ 7UDQVLVWRU &KDOOHQJHV IRU WKH VW &HQWXU\ ,Q ,QWHO
7HFKQRORJ\-RXUQDOUG 4XDUWHU
>@$&KDQGUDNDVDQ,<DQJ&9LHULDQG'$QWRQLDGLV'HVLJQ&RQVLGHUDWLRQVDQGWRROVIRU/RZ9ROWDJHGLJLWDO
V\VWHPGHVLJQ ,Q3URFHHGLQJVRIWKHUG $&0,((('HVLJQ$XWRPDWLRQ&RQIHUHQFHSS
>@&+X'HYLFHDQG7HFKQRORJ\,PSDFWRQ/RZ3RZHU(OHFWURQLFV ,Q/RZ3RZHU'HVLJQ0HWKRGRORJLHV.OXZHU
$FDGHPLF%RVWRQSS
>@-5DEDH\'LJLWDO,QWHJUDWHG&LUFXLWV$'HVLJQ3HUVSHFWLYH $GGLVRQ:HVOH\5HDGLQJ0$
>@ 0& -RKQVRQ . 5R\ DQG ' 6RPDVKHNKDU $ PRGHO IRU OHDNDJH FRQWURO E\ WUDQVLVWRU VWDFNLQJ 0DVWHU¶V
7KHVLV'HSDUWPHQWRI(&(3XUGXH8QLYHUVLW\
>@ - 6KHX HW DO %6,0 %HUNHOH\ 6KRUW&KDQQHO ,*)(7 0RGHO IRU 026 WUDQVLVWRUV ,((( -RXUQDO 6ROLG6WDWH
&LUFXLWVYRO6&
>@$YDQW&RUSRUDWLRQ+63,&(8VHU¶V0DQXDO 9RO,,
>@ 5; *X DQG 0, (OPDVU\ 3RZHU GLVVLSDWLRQ DQDO\VLV DQG RSWLPL]DWLRQ RI GHHS VXEPLFURQ FLUFXLWV ,(((
-RXUQDORI6ROLG6WDWH&LUFXLWVYROQR0D\SS
>@ = &KHQ 0 -RKQVRQ / :HL DQG . 5R\ (VWLPDWLRQ RI 6WDQGE\ OHDNDJH SRZHU LQ &026 FLUFXLWV ,Q
,QWHUQDWLRQDO6\PSRVLXPRQ/RZ3RZHU(OHFWURQLFVDQG'HVLJQ0RQWHUUH\&$$XJXVW
>@/RZ3RZHU*URXS(OHFWULFDODQG&RPSXWHU(QJLQHHULQJ'HSDUWPHQW&DUQHJLH0HOORQ8QLYHUVLW\
 KWWSZZZHFHFPXHGXORZSRZHUEHQFKPDUNVKWPO
>@: -LDQJ97LZDUL(,JOHVLD$6LQKD7RSRORJLFDO$QDO\VLVIRU/HDNDJH3UHGLFWLRQRI'LJLWDO&LUFXLWV
$63'$&9/6,'HVLJQ,QGLD
>@6\QRSV\V,QF6\QRSV\V'HVLJQ&RPSLOHUDQG3RZHU&RPSLOHU8VHU0DQXDOV 


7DEOH /HDNDJHFXUUHQWIRULQSXW1$1'JDWH 7DEOH 2SHUDWLQJFRQGLWLRQVIRUXPWHFKQRORJ\


 
Input Pattern Leakage current (nA) /LEUDU\1DPH 9ROWDJH 7HPSHUDWXUH
 9  R
&
6ORZ  
0111 9.96
)DVW  
1011 6.86

7\SLFDO  


0001 0.98
0000 0.72
0101 0.0045
0011 1.71

7DEOH /HDNDJHSRZHUIRU&FLUFXLWWDUJHWHGIRUµP VORZIDVWDQGW\SLFDOFRUQHUV




 6ORZ )DVW 7\SLFDO

&HOOV 25;   25;   25;  

1$1';   1$1';   1$1';  

$1';   ,19;   $1';  

$2,;  

$1';  

&HOOV   

3OHDN Q:    


&RQVWUDLQWV

&LUFXLW
'HVFULSWLRQ UHDG FRPSLOH UHSRUWBSRZHU

3RZHU
5HSRUW
&HOO 'HVLJQ
/LEUDU\ /LEUDU\
/HDNDJH3RZHU
&HOOV
)LJXUH /HDNDJH3RZHUHVWLPDWLRQIORZ

7DEOH/HDNDJH3RZHUDQG1XPEHURI&HOOVIRUWKHEHQFKPDUNFLUFXLWV

Circuit Pleakslow #Cellsslow Pleakfast #Cellsfast Pleaktypical #Cellstypical


(nW) (nW) (nW)
c880 53.80 178 24.10 180 16.70 199
c5315 157.00 569 65.60 569 88.10 684
c1355 49.60 177 32.20 179 34.30 177
c1908 41.30 144 21.70 146 22.70 149
c2670 101.50 321 60.30 310 39.60 312
c3540 123.10 400 57.20 410 38.20 416
c6288 519.90 1849 216.90 1865 170.70 1839
s298 21.86 81 10.82 79 7.37 80
s344 21.36 86 10.85 85 7.97 86
s349 20.70 89 11.67 96 9.44 92
s386 25.02 81 9.97 85 4.92 85
s420 26.65 97 13.43 84 12.11 80
s382 29.87 114 15.59 113 10.85 112
s444 32.94 116 16.23 117 10.72 120
s400 32.92 119 17.16 117 11.46 119
s510 42.83 145 21.83 150 11.05 146
s526 36.69 130 16.62 130 11.90 129
s526n 34.54 128 16.07 129 12.61 129
s641 34.57 111 19.29 116 10.70 116
s713 34.57 111 19.29 116 10.70 116
s820 56.55 172 27.04 180 11.64 181
s832 60.25 179 26.01 187 11.00 185
s838 52.09 187 30.90 188 24.66 181
s953 81.02 254 36.66 272 22.68 281
s1238 97.08 310 34.44 316 21.38 318
s1196 97.19 312 39.78 306 21.38 311
s13207 491.41 1974 267.75 2000 288.96 2075
s1494 106.70 324 45.30 344 23.90 348
s5378 212.80 729 101.50 856 102.60 738
s15850 643.60 2090 347.00 2221 310.60 1961
s9234 150.80 571 79.60 669 82.20 586
s38417 1334.30 5302 746.10 5998 845.10 5208
s35932 2232.40 8381 961.20 5631 10.86.0 5701
s38584 2631.00 8836 1199.90 7587 793.10 6671
16-bit 2075.80 5739 834.40 4841 689.10 5915
ALU
)LJXUH OQ 3OHDN 9VOQ &HOOV IRU6ORZ )LJXUH OQ 3OHDN 9VOQ &HOOV IRU)DVW
 FRUQHU  FRUQHU

UR
UU 6ORZ )DVW 7\SLFDO
 (









                 LW
                 E

                 
F    V V V V V V V V      
F F F V  V V  
 V V







)LJXUH OQ 3OHDN 9VOQ &HOOV IRU7\SLFDO )LJXUH (UURURIEHQFKPDUNFLUFXLWVIRUWKHWKUHHFRUQHUV


FRUQHU
7DEOH 6ORSHDQG,QWHUFHSWIRUWKHWKUHHFRUQHUV

lib lib
Library Name Slope (S ) Intercept (C )
Slow 0.966 -1.032
Fast 0.946 -1.633
Typical 0.933 -2.212

7DEOH /HDNDJH3RZHUIRUWKH&08'63&RUH&RPSDULVRQZLWKWKHOLQHDUPRGHO

Leakage Power (µW)
Component # Cells % error
Experimental Linear Model
ALU 7548 1.92 1.98 3.12
AGU 6500 1.59 1.71 8.22
PCU 3436 0.87 0.92 5.74
Bus Switch 458 0.16 0.14 -12.50
Core 17962 4.53 4.58 1.10

You might also like