//Chapter 11 //Example 11.6 //page 420 //To find bus voltages and currents clc;clear; v_pf=1; //prefault voltage //according to the fig.11.26 Y1dd=((%i*0.2)^-1)+((%i*0.0805)^-1); Y1fg=-(%i*0.0805)^-1; Y1de=Y1fg; Y1ff=((%i*0.0805)^-1)+((%i*0.164)^-1); Y1ee=Y1ff; Y1ef=-(%i*0.164)^-1; Y1gg=((%i*0.0805)^-1)+((%i*0.345)^-1)+((%i*0.69)^-1); Y1df=0; Y1dg=0; Y1ed=Y1de; Y1eg=0; Y1fd=0; Y1fe=Y1ef; Y1gd=0; Y1ge=0; Y1gf=Y1fg; printf('\nY-Bus and Z-Bus matrix can be written as:\n') Y1_bus=[Y1dd Y1de Y1df Y1dg;Y1ed Y1ee Y1ef Y1eg;Y1fd Y1fe Y1ff Y1fg;Y1gd Y1ge Y1gf Y1gg]; Y2_bus=Y1_bus; printf('\nY1_bus=');disp(Y1_bus); printf('\nY2_bus=');disp(Y2_bus); Y0dd=(%i*1.608)^-1;Y0de=0;Y0df=0;Y0dg=0; Y0ed=0;Y0ee=((%i*0.0805)^-1)+((%i*0.494)^-1);Y0ef=-(%i*0.494)^-1;Y0eg=0; Y0fd=0;Y0fe=Y0ef;Y0ff=Y0ee;Y0fg=0; Y0gd=0;Y0de=0;Y0gf=0;Y0gg=(%i*1.712)^-1; Y0_bus=[Y0dd Y0de Y0df Y0dg;Y0ed Y0ee Y0ef Y0eg;Y0fd Y0fe Y0ff Y0fg;Y0gd Y0de Y0gf Y0gg]; printf('\nY0_bus=');disp(Y0_bus); //finding Z-bus matrix Z1_bus=inv(Y1_bus); Z2_bus=inv(Y2_bus); Z0_bus=inv(Y0_bus); printf('\n\nZ1bus=');disp(Z1_bus); printf('\nZ2_bus=');disp(Z2_bus); printf('\nZ0_bus=');disp(Z0_bus); //to find fault current with LG fault on bus e ---case(i) If_e=(3*v_pf)/(Z1_bus(2,2)+Z2_bus(2,2)+Z0_bus(2,2)); printf('\n\n\nFault current with LG fault on bus e is If_e= -j%0.5f\n',abs(imag(If_e))); //to find fault current with LG fault on bus f ---case(ii) If_f=(3*v_pf)/(Z1_bus(3,3)+Z2_bus(3,3)+Z0_bus(3,3)); printf('Fault current with LG fault on bus f is If_f= -j%0.5f\n',abs(imag(If_f))); //to find bus voltages and line currents in case(i) printf('\n\n\nBus voltages and currents are given below:\n\n'); Vf1_d=1-(Z1_bus(1,2)*If_e/3); Vf1_e=1-(Z1_bus(2,2)*If_e/3); Vf1_f=1-(Z1_bus(3,2)*If_e/3); Vf1_g=1-(Z1_bus(4,2)*If_e/3); disp('Vf1_d=');disp(Vf1_d); disp('Vf1_e=');disp(Vf1_e); disp('Vf1_f=');disp(Vf1_f); disp('Vf1_g=');disp(Vf1_g); printf('\n\n\n'); Vf2_d=-(Z2_bus(1,2)*If_e/3); Vf2_e=-(Z2_bus(2,2)*If_e/3); Vf2_f=-(Z2_bus(3,2)*If_e/3); Vf2_g=-(Z2_bus(4,2)*If_e/3); disp('Vf2_d=');disp(Vf2_d); disp('Vf2_e=');disp(Vf2_e); disp('Vf2_f=');disp(Vf2_f); disp('Vf2_g=');disp(Vf2_g); printf('\n\n\n'); Vf0_d=-(Z0_bus(1,2)*If_e/3); Vf0_e=-(Z0_bus(2,2)*If_e/3); Vf0_f=-(Z0_bus(3,2)*If_e/3); Vf0_g=-(Z0_bus(4,2)*If_e/3); disp('Vf0_d=');disp(Vf0_d); disp('Vf0_e=');disp(Vf0_e); disp('Vf0_f=');disp(Vf0_f); disp('Vf0_g=');disp(Vf0_g); printf('\n\n\n'); If1_fe=-Y1fe*(Vf1_f-Vf1_e);disp('If1_fe=');disp(If1_fe); If1_de=-Y1de*(Vf1_d-Vf1_e);disp('If1_de=');disp(If1_de); Ia1=If1_fe+If1_de;disp('Ia1=');disp(Ia1); printf('\n\n\n'); If1_gf=-Y1gf*(Vf2_g-Vf2_f);disp('If1_gf=');disp(If1_gf); printf('\n\n\n'); If2_fe=-Y1fe*(Vf2_f-Vf2_e);disp('If2_fe=');disp(If2_fe); //Y2fe=Y1fe If0_fe=-Y0fe*(Vf2_f-Vf2_e);disp('If0_fe=');disp(If0_fe); If_fe=If1_fe+If2_fe+If0_fe;disp('If_fe=');disp(If_fe);