Prepared by:-

Honey patel(151080106019)

Guided by:-

Ankur jha

Elements of electrical engineering

Delta –star transformation:

Resistance between 1&2 = (R23+R31)*R12/R12+R23+R31

Resistance between 2&3 = (R31+R12)*R32/R12+R23+R31

Resistance between 3&1 = (R12+R23)*R31/R12+R23+R31

R1+R2 = (R23+R31)*R12/R12+R23+R31

R2+R3 = (R31+R12)*R32/R12+R23+R31

R3+R1 = (R12+R23)*R31/R12+R23+R31

R1+R2+R2+R3+R3+R1/2=[(R23+R31)*R12]+[(R31+R12)*R23]+[(R12+R23)*R31]/2(R12+23+R31)

2R1+2R2+2R3/2=R12R23+R12+R31+R23R23+R23R12+R31R12+R23R31=2(R21+R23+R31)

R1+R2+R3=2R12R23+2R21R31+2R31R23/2(R12+R31+R23)

R1+R2+R3=2R12R23+2R21R31+231R23/2(R12+R23+R31)

R1+R2+R3=R12R23+R21R31+R31R23/R12+R23+R31

R3=R12R23+R12R31+R31R23-(R1+R2)/R12+R32+R31

R3=R12R23+R12R31-R23R31-R12R23-R21R31/R12+R23+R31

R3=R31R23/R12+R23+R31

R1=R12R23+R21R31+R31R23-(R2+R3)/R12+R23+R31

R1=R12R23+R21R31+R31R23-R31R23-R12R23/R12+R32+R31

R1=R12R31/R12+R23+R31

R2=R12R23+R21R31+R31R23-(R3+R1)/R12+R23+R31

R2=R12R23+R21R31+R31R23-(R12R31+R23R31)/R12+R32+R31

R2 = R12*R32/R12+R23+R31

Star –delta transformation:

R1R2+R2R3+R3R1=R12R31R12R23/(R12+R23+R31)2 +R12R23R31R23/(R12+R23+R31)2 +R12R31R23R31/(R12+R23+R31)2

R1=R12R31/R12+R23+R31

R2=R12R23/R12+R23+R31

R3=R23R31/R12+R23+R31

R1R2+R2R3+R3R1=(R12)2R31R23+(R23)2R12R31+(R31)2R12R23/(R12+R23+R31)2

R1R2+R2R3+R3R1=R12R31R23(R12+R23+R31)/(R12+R23+R31)2

R1R2+R2R3+R3R1=R12R23R13/R12+R23+R13

R1R2+R2R3+R3R1=R2R31

R1+R3+R3R1/R2=R31

R2+R3+R2R3/R1=R32

R1+R2+R1R2/R3=R12

Thank you