//Chapter-1, Example 1.55, Page 62 //============================================================================= clc; clear; //INPUT DATA RAB=1;//Resistance in ohms RBE=2;//resistance in ohms RED=3;//resistance in ohms REF=3;//resistance in ohms RDF=3;//resistance in ohms RAD=2;//resistance in ohms RAC=1;//resistance in ohms RBC=1;//resistance in ohms RFC=2;//resistance in ohms //CALCULATIONS //Delta DEF is converted into equivalent star where RDN=REN=RFN=1 ohm //series branches of inner star network are added //Star ABCN is converted to equivalent delta RDN=1; REN=RDN; RFN=REN; RAN=RAD+RDN;RBN=RBE+REN;RCN=RFC+RFN RAB1=((RAN*RBN)+(RBN*RCN)+(RCN*RAN))/(RCN);//by using star to delta conversion technique RBC1=((RAN*RBN)+(RBN*RCN)+(RCN*RAN))/(RAN);//by using star to delta conversion technique RCA1=((RAN*RBN)+(RBN*RCN)+(RCN*RAN))/(RBN);//by using star to delta conversion technique //parallel resistances in each branch are converted to single resistance RAB2=(RAB*RAB1)/(RAB+RAB1); RAB=RAB2;//equivalent resistance of RAB in ohms RBC2=(RBC*RBC1)/(RBC+RBC1); RBC=RBC2;//equivalent resistance of RBC in ohms RCA2=(RAC*RCA1)/(RAC+RCA1); RCA3=((RCA2)*(RAB+RBC))/(RBC+RAB+RCA2); RCA=RCA3; //OUTPUT mprintf("Thus equivalent resistance of CA is %1.1f ohms",RCA); //TO FIND EQUIVALENT RESISTANCE BETWEEN DF //=================================================================================== //node A is eliminated using star to delta conversion RBC=(RAB*RAD)+(RAD*RAC)+(RAC*RAB)/(RAD);//by using star to delta conversion technique RCD=(RAB*RAD)+(RAD*RAC)+(RAC*RAB)/(RAB);//by using star to delta conversion technique //node C is eliminated using star to delta conversion RDB=(0.72*5)+(5*2)+(2*0.72)/2; RBF1=(0.72*5)+(5*2)+(2*0.72)/5; RFD=(0.72*5)+(5*2)+(2*0.72)/0.72; //parallel branches between nodes B and D and nodes D and F are reduced as RBD=(RDB*5)/(RDB+5); RDF=(RFD*3)/(RFD+3); //node E is eliminated using star to delta conversion technique RBF=((2*3)+(3*3)+(3*2))/3; RFD=((2*3)+(3*3)+(3*2))/2; RDB=((2*3)+(3*3)+(3*2))/3; RDF1=4.2;//(R'=RDB+RDF) RDF=((RDF1)*(RDF1/2))/(RDF1+(RDF1/2)); //OUTPUT mprintf("\n Thus equivalent resistance of DF is %1.1f ohms",RDF); //=================================END OF PROGRAM==============================