Samenvatting, Werktuigbouwkunde, Theorie H1 Elektriciteit

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####### ELEKTRICITEIT THEORIE ASM versie:3/12/2008 I. Claesen

! &quot; # ! $ &quot; % &amp;$

' ( ) * +, ) # -

. # &amp; , ,

# / *

# /

, # - 0 ( #( - 0 # &amp; ## . 0' #% 1 #' 1 &quot; # 1 $, * %

' - , ( ' ! ( ' &amp;, ( ' ' 2 *,* # &quot; % 0 3 $

&amp; $

3 3$

( $

&quot;

( $

* +, ( 4

*$ , )

*$ , ( *$ , ( &quot;0$ # ( % ( * +, ' !

* 5 0

&amp;

# &amp; 0

# # ! , % # 0 0*% # % # ' # !

6, '

# 6, #( # 7, ## 2 8 8

&amp;, &gt;@

( ) ( ) (.. )

( )

: , ,

:

s flux stator lorentzkracht r relatieve snelheid van de geleider t o v de veldlijnen

r draaisnelheid rotor

vectoren F v

draaizin n

φ

&amp;, $ &quot;

,0 *

####### 1 Samenstelling.

! *$ , ,

&amp; $ * ,

3 $ , 8&quot;

*$ &quot;

&amp; &quot; , : 3 8&quot;0

$0 ,

####### 1 Het elektromagnetisch draaiveld.

&quot;

*$ &quot; , 1 &quot;

&quot;

*$ &quot; ,

*$ *$ &quot; 8$ 0

=6? A84

1 =8B 2? &quot; 0 &quot;

#######

*,6 φ 1 , φ 2 en φ 3

####### &amp; , &quot; $ *,6

0, $ , *,6 φ

B 2

,6 &quot; 00 8

=('C? $ *,6

!&quot;# #$

* +,

=$ &quot; ?:

60. s s (1)

f

n

p

p aantal poleparen

f statorfrequentie

n draaisnelheid van het statorveld

=

####### 1.4 Een vierpolig draaiveld opwekken.

####### 1.4 Draaizin van het draaiveld.

, $

= , ?

&quot; &amp; 0

: EE &quot;

####### 1 Slip van de asynchrone motor.

&amp; *

=F? $ $

&amp; *&quot;0 &quot; $

, =&gt;3? &amp; $ , $ *&quot;0 $

s r

n n

s

n

−

= =?

B0 ''G=&gt;?8 &quot;00 'G=&gt;'?

####### 1 Rotorfrequentie

&gt;38$  +,  &quot; , :

. .( ). ( )

..

60 60 60

s r s s r r s s

p n p n n p n n n

f f s

n

− −

= = = = =?

&amp; * +, ,

B0 * +, *&gt;*&gt;'$8 &quot;00 *&gt;'

, ,

, 8 $  0  +, :

Xr =2.. .π f Lr r =2... .π f s Ls r =s X. rst =?

&quot;H , 0 &lt; $

 ,I8  0 * +, 8

.

( )r r rst. ( rst)

r r

X s X

tg s tg

R R

φ = = = φ =?

####### 1 Koppelsnelheidskarakteristiek van een asynchrone Motor

####### 1.8 De uitdrukking van het koppel van een asynchrone motor

8&quot; *,6Φ

&gt;J= K? $$ = ?.

, &quot; $ , ! , &quot; &quot; $ = ? $

,0 ,&amp; , ! 6 &quot; $

&amp;  ,φ$ /6 $  $$08 *,6Φ $ $ &amp; $ L &quot;

&quot; $ *,6Φ

φ &amp;

$ &quot;

, ,:

F 1 =B I l. .r =? &quot;:

B s

A

φ

= =?

1 &quot; , L

L 8&quot;

, &quot;

, :

####### Fr =F 1 ⋅sinφr Ft =F 1 ⋅cosφr =?

&amp; L

&quot; &amp; L 0

0 8$ $

, ,:

####### M 1 =Ft⋅r =?

&quot; &quot;

EE; $ ,

&quot; $ &quot; $ :

####### T=z⋅M 1 =?

&amp; , , , ,

&quot;

, ,:

####### T=k Φ⋅ s⋅Ir⋅cosφr

####### 1.8 Invloed van de arbeidsfactor op het koppel

/ *, $0

$ &amp; $ $0

* , 'C8C %'C

3 * ,'C

* $ *,6&amp;

6 8 &quot;0

3/ * ,%'C8 $ *&quot; &quot; *&quot;

, 0 ,8 *

3B0

* ,C8$0 &quot;

&quot; $08$

6, 0

* ,'C&quot; &amp;

&quot;

8 0 C&gt;'8 ' A * :

####### r Z

####### R

####### cosφ = =(?

% φ $ $ $$ $

n 1

n φφφφ=90° ΦΦΦΦσσσσ 1

3 4

n φφφφ=45° ΦΦΦΦσσσσ 1 2

φφφφ=0° ΦΦΦΦσσσσ

####### 1.8 Koppel bij stilstand

&quot; &gt;= ? * +, *'$= ,6?&amp; , H;6 * ,φ * &amp;

* !&quot;

$$ &quot; 8

* 0 8

stilstand kip vollast relatieve slip s 1 0,75 0,5 0,25 0,043 0 rotorsnelheid (tr/min) nr 0 750 1500 2250 2871 3000

frequentie (Hz) fr 50 37,5 25 12,5 2,15 0 rotorinductantie (ohm) XLr 16 12 8 4 0,69 0 rotorimpedantie(ohm) Zr 16,5 12,6 8,9 5,7 4,1 4 faseverschuiving (°) r 76 72 63 45 9,8 0

rotorspanning (V) Er 96 72 48 24 4,1 0 rotorstroom (A) Ir 5,8 5,7 5,4 4,2 1,02 0

invloed arbeidsfactor k 1 =cosr 0,24 0,32 0,45 0,71 0,99 1 invloed van rotorstroom k 2 =Ir/Irst 1 0,98 0,92 0,73 0,17 0 resulterende invloed k 1 .k 2 0,24 0,31 0,41 0,52 0,17 0

relatief koppel T/Tnom 1,41 1,80 2,40 3 1 0

Invloed op het rotorkoppel

1 0,75 0,5 0,25 0 relatieve slip

invloedsfactor

arbeidsfactor rotorstroom resultaat

####### 1.8 Koppel tijdens de aanloop

! $0$ 8  ,φ 8$ *

&quot;

0 $ $0$0

, !

* 8 &quot; /

$, &amp; $

B 0 J

  J , 0

&amp; *,,

&quot;

&lt; $0 ,

8$ ,

, &quot; 8&quot; $

, 6 4 0

* 8$

, &quot; $0 ,

####### 1.8 De koppelsnelheidskarakteristiek

&amp; ,

, $ ,

8$  &quot; 

Koppelcurve

0 750 1500 2250 3000

####### rotortoerental (tr/min)

####### koppel in verhouding met het vollastkoppel

A &quot; * ,φ:

####### 1

####### R

####### s X

####### R

####### X

####### tg

k Lrst r

####### k =

####### ⋅

####### φ = = &gt;@φk = 45 °

&amp; , , , , ,

8 &quot;

6, * :

2 Lrst

r 2

s rst

####### ) X

####### s

####### R

####### (

####### s

####### R

####### T k E

####### +

####### = Φ⋅ ⋅ ⋅

Lrst

2 s rst Lrst

2 Lrst

Lrst

####### k s rst 2 X

####### 1

####### k E

####### X X

####### X

####### T k E

####### ⋅

####### = Φ⋅ ⋅ ⋅

####### +

####### ⇔ = Φ⋅ ⋅ ⋅

Lrst

s rst k

####### 2 X

####### k E

####### T

####### ⋅

####### ⋅Φ ⋅

####### =

( $$ $

3&amp; * ,φ

6, 0C

6, * 0 &quot;

)8$ &quot;

, 0 &quot; $

6, 9

3&amp; &quot;0

6, &quot; 8 &quot; &quot;

, , &quot;

$$$

&quot; 8&quot;

&quot;

, 8&quot;0

6, &quot; 0 0*

8&quot;0 * +,

0 , &quot; ,

$ &quot; &quot;

####### 1.8 Motorkarakteristieken in de praktijk.

####### 1.8.8 Werkpunt.

B0 ,$

0 ,

/ 0 3 * +, 0 0

0 8

&quot; , 8

0, , 8$ 00

, = ? $0

, $0

L 0

&quot; , 8

, $0/

$08&quot;

&quot; 0

, ,

L 0

0 L 0

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Samenvatting, Werktuigbouwkunde, Theorie H1 Elektriciteit

Vak: Werktuigbouwkunde

9 Documenten

Studenten deelden 9 documenten in dit vak

Universiteit: Hogeschool Rotterdam

Was dit document nuttig?

ELEKTRICITEIT THEORIE ASM versie:3/12/2008 I. Claesen

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1$,**

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

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-,(

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!(

'

&,(

'



'

2*,*#



"%

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33$

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$"(

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Samenvatting, Werktuigbouwkunde, Theorie H1 Elektriciteit

Werktuigbouwkunde

Hogeschool Rotterdam

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Preview tekst

: , ,

:

vectoren F v

draaizin n

φ

60.

s s (1)

f

n

p

p aantal poleparen

f statorfrequentie

n draaisnelheid van het statorveld

=

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n n

s

n

−

= =?

. .( ). ( )

..

60 60 60

p n p n n p n n n

f f s

n

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= = = = =?

Xr =2.. .π f Lr r =2... .π f s Ls r =s X. rst =?

.

( )r r rst. ( rst)

X s X

tg s tg

R R

φ = = = φ =?

F 1 =B I l. .r =? &amp;quot;:

B s

A

φ

= =?

Invloed op het rotorkoppel

Koppelcurve

Samenvatting, Werktuigbouwkunde, Theorie H1 Elektriciteit

Vak: Werktuigbouwkunde

Universiteit: Hogeschool Rotterdam

Andere studenten bekeken ook

Gerelateerde documenten

= =?

= = = = =?

Xr =2.. .π f Lr r =2... .π f s Ls r =s X. rst =?

φ = = = φ =?

F 1 =B I l. .r =? ":

= =?