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(Delta-Star and Star-Delta Transformation)

1 2

()

3/2.1 (DELTA-STAR TRANSFORMATION)

X

Y Z

()

X

Y Z

()

1R

2R

3R

aR

bRcR

3/2-1

X-Y 3/2-1()

2 1 3( )X YR R R R

2 1 3

1 2 3

( )R R R

R R R

(3/2-1)

1 2 3TR R R R

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2 1 3 1 2 2 3( )X Y

T T

R R R R R R RR

R R

(3/2-8)

3/2-3() X-Y

X Y a cR R R

(3/2-9)

(3/2-8) (3/2-9)

1 2 2 3a c

T

R R R RR R

R

(3/2-10)

Y-Z

1 2 1 3b c

T

R R R RR R

R

(3/2-11)

X-Z

1 3 2 3

a bT

R R R RR R

R

(3/2-12)

(3/2-10)-(3/2-11)+(3/2-12)

2 322a

T

R RR

R (3/2-13)

2 3a

T

R RR

R (3/2-14)

(3/2-11)-(3/2-10)+(3/2-12)

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1 3b

T

R RR

R (3/2-15)

(3/2-12)-(3/2-10)+(3/2-11)

1 2c

T

R RR

R (3/2-16)

1 2 3TR R R R (3/2-14)-(3/2-16)

2 3

1 2 3a

R RR

R R R

(3/2-17)

1 3

1 2 3

b

R RR

R R R

(3/2-18)

1 2

1 2 3

c

R RR

R R R

(3/2-19)

3/2.2 (STAR-DELTA TRANSFORMATION)

X

Y Z

X

Y Z

1R

2R

3R

aR

bR

cR

3/2-2

3/2-2 (3/2-14) (3/2-15) (3/2-15) (3/2-16) (3/2-14) (3/2-16) 3

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2 2 3

1 2 3 1 2 3 1 2 3 1 2 31 2 32 2 2 2a b b c a c

T T T T

R R R R R R R R R R R RR R R R R R R R R

R R R R (3/2-20)

1 2 3a b b c a c

T

R R RR R R R R R

R (3/2-21)

(3/2-21) (3/2-14)

1a b b c a c

a

R R R R R RR

R

(3/2-22)

(3/2-21) (3/2-15)

2a b b c a c

b

R R R R R RR

R

(3/2-23)

(3/2-21) (3/2-16)

3a b b c a c

c

R R R R R RR

R

(3/2-24)

(3/2-22)-(3/2-24)

1a b b c a c

a

R R R R R RR

R

(3/2-25)

2a b b c a c

b

R R R R R RRR

(3/2-26)

3a b b c a c

c

R R R R R RR

R

(3/2-27)

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1 Power supply 1 2 Function generator 1 3 Oscilloscope 1 4

Meter SANWA 1 5 Protoboard 1 6 10k 3

3/2-1 3/2-1-1

A

B C1

R

2R 3R

( ) 10v t V1 1R k

2 4R k

3 7.5R k

3/2-3 3/2-1-1

1 3/2-31 AB, AC, BC ()

3/2-13 10 V A B 4 AC, CB

3/2-1

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3/2-1-2

A

BC

aR

bRc

R

( ) 10v t V

3/2-4 3/2-1-2

3/2-1

5 6 3

3/2-4

7 AB, AC, BC ()3/2-18 10A B 9 AC, CB

3/2-110 3/2-111

1R 1 k - - - aR - - - 2R 4 k - - - bR - - - 3R 7.5 k - - - cR - - -

ABR

ABR

ACR

ACR

BCR BCR AB

V 10 10 ABV 10 10 AC

V AC

V CB

V CB

V

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3/2-2 3/2-2-1

3/2-5 3/2-2-1

1 3/2-52 AB, AC, BC ()

3/2-2

3 10 V A B 4 AC, CB

3/2-2

3/2-2-2

3/2-6 3/2-2-2

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3/2-2

5 6 3

3/2-67 AB, AC, BC ()

3/2-28 10A B

9 AC, CB 3/2-210 3/2-211

1R

1 k - - - aR

- - - 2R 4 k - - - bR - - - 3R 7.5 k - - - cR - - -

ABR

ABR

ACR

ACR

BCR

BCR

ABV 10 10 ABV 10 10

ACV

ACV

CB

V CB

V

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1

2