Torque generation with Electrical Machines. Industrial Electrical Engineering and Automation Lund University, Sweden

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1 Toqe geneton wth Electcl Mchne Indtl Electcl Engneeng nd Atoton nd Unvet, Sweden

2 Toqe genetng phenoen Indtl Electcl Engneeng nd Atoton Condcto n gnetc feld Ion hpe n gnetc feld 3 Electottc 4 Pezotcton Mgnetotcton Mt Alül 9-toqe geneton

3 ne / ottng Mt Alül 9-toqe geneton Indtl Electcl Engneeng nd Atoton

4 Eneg dent Indtl Electcl Engneeng nd Atoton Mgnetc eneg dent : Electc eneg dent : B E 0 0 J J 3 3 Mt Alül 9-toqe geneton

5 Geoet IM DCM Mt Alül 9-toqe geneton SM M Indtl Electcl Engneeng nd Atoton

6 # of pole Indtl Electcl Engneeng nd Atoton S el = p ec T ech = p T el + e = d + e = d - S S - p(t) = el T el = p ec p T ec = ec T ec Mt Alül 9-toqe geneton

7 Snodl f & fl totl o totl Indtl Electcl Engneeng nd Atoton () (). Spepoton. Vecto Mt Alül 9-toqe geneton

8 MM, l & elctnce Indtl Electcl Engneeng nd Atoton 0 B ( ) l d whee = totl,vege = totl totl totl l tto tto length d Mt Alül 9-toqe geneton

9 S o f... Indtl Electcl Engneeng nd Atoton Mgnetc feld fo eneg tnfe Slent pole on one de (tto o oto) pole, bt cn be cled lte Snodl f-bton l=ntegl of fl dent elctnce = MM/l ow, we cete chne wth thee popete... Mt Alül 9-toqe geneton

10 The PM / PM chne Indtl Electcl Engneeng nd Atoton Stto oto Stto Mt Alül 9-toqe geneton S oto 0 Slent pole n the oto oto efeence fe (/) oto f nd tto f (nodl) elctnce nd Idel on (no gnetc tton effect)

11 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton A gp gnetc eneg oto Stto ) n( ) co( gn W n co co

12 Toqe : Devtve of gnetc eneg Indtl Electcl Engneeng nd Atoton dw ec d T W gn W T - dw ec gn d Contnt,.e. no eneg ppled Cope to lne oveent (=dw/d o W=*)... Mt Alül 9-toqe geneton

13 Toqe : Coponent Indtl Electcl Engneeng nd Atoton T - o toqe dw gn d... Mgnetzed ongnetzed ongnetzed Mgnetzed Toqe defnedb eqton XX Mgnetzed Etenl gnetc feld geneted b Mt Alül 9-toqe geneton

14 Electcll gnetzed tto ( ) Indtl Electcl Engneeng nd Atoton n () 4 4 n n n 3,5,7,... () fndentl honc nbe of wndng tn Mt Alül 9-toqe geneton

15 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Snodll bted wndng ( ) ) ( 3,5,7,... n n n n n

16 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Toqe : epeed n fl nd f T n n co n n co j eebe: l=mm/elctnce Ipotnt conclon

17 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Toqe : epeed n fl lnge nd f, eff eff eff j j,, Effectve nbe of tn, (to cete the fndentl f wve) eff eff eff eff T,,,, Ipotnt conclon

18 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton l vecto, nd ndctnce... eff, eff, eff,

19 Phe Indtl Electcl Engneeng nd Atoton j j j j e e e Stton opeton: j co( t ) j n( t ) j Mt Alül 9-toqe geneton

20 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton 3 Phe c b b c

21 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton ege ndctnce c c eff c b b eff b eff,,,

22 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Stto voltge eqton c c c c c c b b b b b b d d d d d d d d +

23 Stto voltge n the Indtl Electcl Engneeng nd Atoton b c oto efeence fe d d d d j d Mt Alül 9-toqe geneton

24 Contol chllenge Indtl Electcl Engneeng nd Atoton Pot: Toqe Stto fl Powe fcto eld weenng Mt Alül 9-toqe geneton

25 DC Mchne contol Mt Alül 9-toqe geneton Indtl Electcl Engneeng nd Atoton

26 Wh DC? Indtl Electcl Engneeng nd Atoton Sple to contol Chep to podce bt onl de to effectve podcton nd lge ee. Mt Alül 9-toqe geneton

27 Mechncl degn:i Indtl Electcl Engneeng nd Atoton eld wndng f Cotton pole 0 Ate wndng Copenton wdnng Mt Alül 9-toqe geneton

28 Mechncl degn:ii A ( ) 0 Mt Alül 9-toqe geneton Indtl Electcl Engneeng nd Atoton

29 Mthetcl odel:i b Indtl Electcl Engneeng nd Atoton c d d d Mt Alül 9-toqe geneton d f T 0 d

30 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Mthetcl odel:ii f f f f f f f f d f

31 Indtl Electcl Engneeng nd Atoton Mt Alül 9-toqe geneton Toqe Contol n n e e n n T T T ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( 0 * * * e ) ( ) ( ) *( ) ( ) *( ) *( 0 e n n T T T n n

32 eld weenng Indtl Electcl Engneeng nd Atoton e *, no f,, no no f, no, no e, ê f no PI * f * f Mt Alül 9-toqe geneton

33 Eple Indtl Electcl Engneeng nd Atoton Sgnl Geneto e ef ct e-contolle f* Udc ef ct ef -contolle ef ct f-contolle Udc b * 4Q level odlto Udc * Q level odlto Udc b b 4Q level nvete Udc v Q level nvete v vb f Tl DC Mchne T w e f P Mt Alül 9-toqe geneton

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