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
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