EE 410/510: Electromechanical Systems Chapter 3

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1 EE 4/5: Eleomehnl Syem hpe 3 hpe 3. Inoon o Powe Eleon Moelng n Applon of Op. Amp. Powe Amplfe Powe onvee Powe Amp n Anlog onolle Swhng onvee Boo onvee onvee Flyb n Fow onvee eonn n Swhng onvee 5// All fge en fom pmy exboo nle ohewe e.

2 Opeonl Amplfe In eleomehnl yem, gnl poeng, gnl ononng, n ohe e omplhe hogh he e of nege I. The fle n onolle lze fo hee eve e embee whn ee of powe mplfe e fo ehe nve o pve onol. Th, n oe o evelop omplee eleomehnl yem, one m nen how effevely moel n mle he pefomne of hee gnl ononng Smply p, n mplfe op he ffeene beween wo np volge pple o he nveng np n he nonnveng np emnl n mlple by he ffeenl openloop oeffen gn, og. Inveng n nonnveng gnl e lbele ng n + epevely 5//

3 Popoonl Opeonl Amplfe Popoonl Opeonl Amplfe Inveng opeonl mplfe B pple o he nveng np emnl ng n exenl eo, n gone o he nonnveng np. The op emnl onnee o he np by eon exenl eo,. ee og g Theloe loop gn oeffen g The loe loop gn oeffen m n g og og og 5// 3 n n n,, og

4 Mlple Inp Opeonl Amplfe Mlple Inp Opeonl Amplfe Inveng opeonl mplfe B pple o he nveng np emnl ng n exenl eo, n gone o he nonnveng np. The op emnl onnee o he np by eon exenl eo,. m m og, m og m m,,, ee ee m 5// 4 n n n,,

5 Genelze n ng Impene Genelze n ng Impene Inveng opeonl mplfe B pple o he nveng np emnl ng n exenl mpene, n gone o he nonnveng np. The op emnl onnee o he np by eon mpene,. o ype of mpene Gn heve G 5// 5

6 Tble fo o Impene 5// 6

7 Tble fo o Impene 5// 7

8 Tble fo o Impene 5// 8

9 Impene Exmple Impene Exmple Inveng opeonl mplfe B pple o he nveng np emnl ng n exenl eo, n gone o he nonveng np. The op emnl onnee o he np by eon exenl eo, n po. / Impene whn / G g loe loop gn oeffen h / G Gn heve 5// 9

10 Impene Exmple Impene Exmple Inveng opeonl mplfe B pple o he nveng np emnl ng n exenl eo, n po. The nonnveng np gone. The op emnl onnee o he np by eon exenl eo, n po. Impene whn Gn heve G Gn heve 5//

11 Inveng Inegng Amplfe Inveng Inegng Amplfe B pple o he nveng np emnl ng n exenl eo, The nonnveng np gone. The op emnl onnee o he np by eon exenl po. Gn heve G Solon fo he b volge heve 5//

12 Inveng evve Amplfe B pple o he nveng np emnl ng n exenl eo, n po. The nonnveng np gone. The op emnl onnee o he np by eon exenl eo, n po. Gn heve G en o he po, Solon fo he b volge heve 5//

13 PI onolle Amplfe PI onolle Amplfe Gn heve p p PI G G Invee gn oeffen of p,, Gn onn e Howeve hee onn e negve, h we bly p p G o he yem wh n onl nveng mplfe h pove pove gn onn p p p,, 5// 3

14 PI onolle Amplfe 5// 4

15 Swhng onvee: B onvee ng ple wh molon PWM whng onep, he volge he lo emnl n be effevely onolle A hgh feeny ep own whng onvee B onvee peene The whng feeny gven f on off Whee on n off e he whng me on Avege lo volge N _ v on on off y yle on on off 5// 5

16 Swhng onvee: B onvee A low p f oe fle wh non n h f l l Swhng onvee: B onvee pne, ene he pefe volge pple f f, 8 mn ng Khoff lw, one fn he followng e of ffeenl eon fo loe wh wh evee b oe. E l 5// 6

17 Swhng onvee: B onvee A low p f oe fle wh non n h f l l Swhng onvee: B onvee pne, ene he pefe volge pple f f, 8 mn ng Khoff lw, one fn he followng e of ffeenl eon fo open wh wh evee b oe. E 5// 7

18 Swhng onvee: B onvee Avegng ng yle whng Swhng onvee: B onvee l E mx mx mx mx : _,, o le mx y yle olge eon 5// 8 mx mx mx, Nonlne em

19 Swhng onvee: B onvee 5// 9

20 Boo onvee Boo onvee one n boo ep p h whng onvee ng Khhoff w loe loop eon Open loop eon E 5// E

21 Boo onvee on. Boo onvee on. one n boo ep p h The mnmm vle of nne epen whng onvee Avegng onep eon ng y yle on he whng feeny n he lo ene hown f mn E f mn Sey e nly el n he followng elonhp E followng elonhp Expeon fo volge pple 5// f

22 loe oop Boo onvee S l gngn Solon Kne Moon of Eon,, Q Q, Q Q, Poenl Q Q, pve Q, 5//,

23 Open oop Boo onvee S l gngn Solon Moon of Eon Kne Q Q,, Q Q, Poenl Q, Poenl Q, pve 5// 3,

24 B Boo Boo onvee The ey e o beween he pple n emnl volge Th epenng on he y yle, he op volge wll be le hn o gee hn he ve volge The expeon fo he volge pple n mnmm nne e mn f f loe wh Homewo: evelop n olve he me vegng onep eon of moon fo h yem ng ehe Khhoff lw o gngn ynm n Mlb 5// 4

25 onvee nle b, boo, b boo, n he flyb onvee opologe e n h hpe h e nve The ey e o beween he pple onvee e pve enegy nfe n emnl volge If he wh on o off, he en n boh he np n op no e onno. Th epenng on he y yle, he Opeonl heoy: when on, en hogh op volge wll be le hn o gee e n he volge on evee he hn he ve volge oe, nng off. When off, hge, he enegy oe n he no nfe he lo n nfe enegy fom he oe o he lo The expeon fo he volge pple n mnmm nne e mn mn 8f f f 5// 5

26 onvee onvee When ehe open o loe, he eon of moon e E 5// 6

27 Flyb n Fow onvee e o mgnelly ole he np n op ng nfome n he whng heme e fo hgh volge powe mplfon h h een n fl pnel T o A non moo loe wh: oe evee be Swh loe fo /f Openwh: oe fow be Swh loe fo /f 5// 7

28 Flyb n Fow onvee Flyb n Fow onvee N N N wh loe _ wh Open N N _ N 5// 8 N

29 eonn n Swhb onvee en en e movng ow nonlne eonn Op volge egle by hngng he y yle whh onne by ppe n lowe lm of he epone ve of he yem eonn onvee e wely e n hgh pefomne eleomehnl yem o opmze he whng pee vlble Nonlney n onol e enl e o be olve o mpove ey e ynm he, howeve fo p ple yem e of lne ffeenl eon my ffe. one wh h open when fow be llowng en o p one he wh loe when evee be 5// 9

30 eonn n Swhb onvee eonn n Swhb onvee off on l f E 5// 3 E

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