M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3...

24
52&=DGNLQH_+RRJHUZDDUG 7UDQVIRUPDWRUHQOHHUMDDU -8/ * M.130412ZA

Transcript of M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3...

Page 1: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

M.1

3041

2ZA

Page 2: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU
Page 3: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU
Page 4: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU
Page 5: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU
Page 6: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU
Page 7: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

E Nt

= − ⋅ ΔΦΔ

Page 8: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

U U N N ofUU

NN1 2 1 2

1

2

1

2

: := = Ook geldt: U2 x N1 = U1 x N2

Page 9: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

UU N

NV2

1 2

1

400 501000

20=⋅

= × =

NN U

Uwnd2

1 2

1

1100 400230

1913=⋅

= × ≈

Page 10: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

U2 = (U1 x N2) / N1 => (400V x 440wi) / 1520wi= 115,7894V

N2 = (U2 x N1) / U1 => (400V x 5000wi) / 10000V = 200wi

Page 11: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

U1 = (U2 x N1) / N2 => (24V x 1140wi) / 72wi = 380V

N1 = (U1 x N2) / U2 => (230V x 88wi) / 32wi= 632,5wi

N2 = (U2 x N1) / U1 => (28V x 230wi) / 115V = 56wi

U3 = (U1 x N3) / N1 => (115V x 264wi) / 230wi= 132V

Uad = U2 + U3 + U4 => 28V + 132V + 60V = 220V

N4 = 120 wi => Nts = N2 + N3 + N4 => 56wi + 264wi+ 120wi = 440 wi

Page 12: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

nNN

= 1

2

KUU

= 1

2

n KNN

UU

= = =1

2

1

2

Ubc = U3 - U4 => 10V - 11V = -1V

Ubd = U3 = 10V

Uac = U2 + U3 - U4 => 1V + 10V - 11V = 0V

Uad = U2 + U3 => 1V + 10V = 11V

Page 13: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

KUU

= 1

2

UUK2

1=

A nNN

. = = =1

2

480240

2

B UUn

V. 21 230

2115= = =

C De transformatieverhouding berekenen we met de formule. ::

KUU

= = =1

2

230115

2

K = 5 => U2 = U1 / K = 300V / 5 = 60V

Page 14: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

nNN

UUn

V

= = =

= = =

1

2

21

1500300

5

205

4

IUR

A mAL

22 4

1000 04 40= = = =,

K = 9,583 => U1 = K x U2 = 9,583 x 24 230V

Page 15: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

I III1 22

1

8 40 1 551

5 : : := = ⇒ = =

P U Is1 1 1= ⋅

P U Is2 2 2= ⋅

Ook geldt: N1 x I2 = I1 x N2

Page 16: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

P Ps s1 2=

UU N

NV

IUR

AL

21 2

1

22

230 400800

115

11557 5

2

=⋅

= × =

= = =

,

II N

NA1

2 2

1

2 400800

1=⋅

= × =

nNN

= = =1

2

800400

2

P en Ps s1 2 .

P U I VA

P U I VAs

s

1

2

1 1

2

230 1 230

2 115 2 230

= ⋅ = × =

= ⋅ = × =

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UU N

NV2

1 2

1

2 000 24300

160=⋅

= × =.

nNN

= = =1

2

30024

12 5,

P P kVA VA

IP

UA

IP

U

s s

s

s

1 2

1

2

10 10 000

10 0002 000

5

1

11

22

= = =

= = =

= =

.

..

00 000160

62 5 12 5 5 62 52 1

., : , ,= = ⋅ = × = A of I n I A

IUR

AL

22 160

1016= = =

NN

UU

II

1

2

1

2

2

1

= =

Page 18: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU

(n) =5 => N1 : N2 = 5 : 1=> U2 = (U1 x N2) / N1 => (230V x 1) / 5 = 46V

Page 19: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU
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Page 23: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU
Page 24: M.130412ZA Transformatoren leerjaar 1 ant transformatie en...VHFXQGDLU DIJHJHYHQ YHUPRJHQ 3 VHFXQGDLU DDQWDO ZLQGLQJHQ 1 6\PEROHQ YDQ HHQIDVHWUDQVIRUPDWRUHQ (HQ HHQIDVHWUDQVIRUPDWRU