Ia Ia armature mmf ~ Ia torque field flux ~ If + Ra + Ia T - - PowerPoint PPT Presentation

ia ia armature mmf ia torque field flux if ra ia t k f ia
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Ia Ia armature mmf ~ Ia torque field flux ~ If + Ra + Ia T - - PowerPoint PPT Presentation

If Ia Ia armature mmf ~ Ia torque field flux ~ If + Ra + Ia T = k f Ia V a = k - f r - STATOR Rr Ld FIELD + + + 3 phase V Id - C S I S M Vr Vi 50 Hz - - If r w Vr Rotor position


slide-1
SLIDE 1

If Ia Ia torque armature mmf ~ Ia ~ If field flux T = k f Ia

  • a = k

f r Ia Ra V +

  • +
slide-2
SLIDE 2

STATOR FIELD

C S I

+

  • Vr

Id +

  • Vi

Rr Ld +

  • V

Rotor position (phase control stator current) 3 phase 50 Hz Vr w

S M

If r

slide-3
SLIDE 3

Rs + jXs I V Ep

  • +
  • IRs

V j Xs I Ep I

  • Te = 3Np

EpIcos = t fIcos

  • K

2 r

slide-4
SLIDE 4

Re = 2 Rr

  • 6

Rs I V cos + + +

  • 2 Ii
  • Ve=

Vr

  • 3

Epcos Ep=Ke f r

slide-5
SLIDE 5
  • V

I Ep j Xs I

  • I

V Ep j Xs I (a) (b)

slide-6
SLIDE 6

d-axis q-axis Ifo Ido

  • Iso

I qo Rs qo I Rs do I jXq qo I jXd do I Epo=-XdmIfo =- oLdmIfo

  • salient pole SM

Vso d-axis q-axis Ifo Ido

  • Iso

Iqo Rs qo I Rs do I jXs so I jXs do I Epo=-XmIfo =- oLmIfo

  • smooth rotor

Vso jXs qo I (or po = j oLm fo) E I

  • (or

po = j oLdm fo) E I

  • SM
slide-7
SLIDE 7

d q Vso p Ifo = jIfo I I qo=Iqo= so Teo=- NpLdmIfoIqo = NpEpoIso 3 3 2 2o jXq qo = jXqIqo I

slide-8
SLIDE 8

X

3NpLdm 2 + +

  • p(Ldm+Lfkd )

Rkd+pLkd

  • Ikd(t)

Te If Iq

  • If

Ikd(t) Te t

slide-9
SLIDE 9

Stator Field

C S I

Ldc Rotor position 3 phase 50 Hz

S M

r commutation delay compensation torque reference (Iq w) Ii

  • w=0

( -control)

  • current

controller phase controller

slide-10
SLIDE 10

3 phase 50 Hz ia w ib w ic w

CRPWM

transformation rotor to stator stator field rotor position

S M

torque reference field component (Iq w) (Id w) sin r

  • cos r
slide-11
SLIDE 11

Rs + Ep

  • +
  • d

Ir Is Ep Vs jXs s I q Is Vs j Ls

  • Rs

+

  • Is

Vs j Ldm

  • j Ls
  • Ir = jIf

Ir = jIf (a) (b) (c)

slide-12
SLIDE 12

+

  • Is

Vs j Lml

  • j Ls
  • Ir

+

  • +
  • +
  • Es

E j Lr

  • Rr

s Er Is

  • r

I Er E Ir Im r m jXr r I (a) (b)

slide-13
SLIDE 13

+

  • Is

Vs j Lm

  • Is

+

  • Rs

Er . Lm Lr Rr s Lm Lr 2 . j Ls=j L s

  • Is

Is Vs Is Is rs E I r =j m s

  • L2

L2 r j Xs s

  • I

Rs s I ( r=-Lm s ) I I Lr

(a) (b)

slide-14
SLIDE 14
  • Is

Is,s=0 Is,s>0 Is,s<0 Is Er

slide-15
SLIDE 15

Is Isq Isd q d Irq=-LmIsq Lr rd

slide-16
SLIDE 16

3 phase 50 Hz ia w ib w ic w

CRPWM

Transformation from synchronous to stator reference Stator

IM

torque reference flux reference (Isq w ) (Isd w ) sin r

  • cos r
  • r

Electrical and mechanical motor signals

C S I

Ii amplitude control phase control IM | |w I w r electrical and mechanical motor signals

(a) (b)

slide-17
SLIDE 17

C FO CFO

motor signals (inputs) motor signals (inputs) “rotor flux computer” “field orienter” (resolver) “Flux-computer” and “field orienter”

  • ra,

rb, rc

  • f

r , r | r|

  • arg

r = r

  • | r|=√
  • ( rq)2 + ( rd)2
  • r = tan-1rq

rd

slide-18
SLIDE 18

r r

CFO IM

c b a s = ( Vs - RsIs)dt

  • r = Lr ( s- LsIs)

Lm ⌠ ⌡ c b a r r m m air-gap flux ia ib ic

CFO

IM

(a) (b)

slide-19
SLIDE 19

Basic FO control within dashed lines ib w ic w ia w

CRPWM

T-1 Isq w Isd w torque controller flux controller r w r +

  • r

CFO

motor signals

I M

r r Ia Ib Ic T torque calculaton Isq T r w Tw +

  • 3 phase 50 Hz

phase control torque controller resolver flux controller r motor signals 3 phase 50Hz current control torque calculation

CFO T

T Ia Ib Ic r Basic FO control inside dashed lines Isq w Isd w +

  • r

Isq r w Tw +

  • CSI
  • r

+

  • Is

w

(a) (b)

slide-20
SLIDE 20

÷

Rr Lr x 1 1+p Lr Rr Isd w (desired flux) Isq w (desired torque) s w

slide-21
SLIDE 21

(torque reference) (flux reference) T-1 Isq w r ri s w s w Isd w ia w ib w ic w

CRPWM

I M

r slip calculation 1 p Lr Rr + +

slide-22
SLIDE 22

r

  • Isd

w Isq w flux reference torque reference slip calculation resolver

  • |Iw|

+ + + r s

W

I Iw +

  • CSI

current controller

slide-23
SLIDE 23

Isd Isq1 Isq2

  • Is2

Is1 Is e r

slide-24
SLIDE 24

+

  • Is

Vs j aLm

  • j

Ls-a m)

  • L

Rs j a2Lr-a m)

  • L

Ir/a=Ir a2Rr/s= /s Rr

,

,