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Diffstat (limited to '1445/CH3/EX3.4/ch3_ex_4.sce')
-rw-r--r-- | 1445/CH3/EX3.4/ch3_ex_4.sce | 70 |
1 files changed, 70 insertions, 0 deletions
diff --git a/1445/CH3/EX3.4/ch3_ex_4.sce b/1445/CH3/EX3.4/ch3_ex_4.sce new file mode 100644 index 000000000..75f660c01 --- /dev/null +++ b/1445/CH3/EX3.4/ch3_ex_4.sce @@ -0,0 +1,70 @@ +//CHAPTER 3- THREE-PHASE A.C. CIRCUITS +//Example 4 + +disp("CHAPTER 3"); +disp("EXAMPLE 4"); + +//VARIABLE INITIALIZATION +v_l=866; //in Volts +z_delta=177-(%i*246); //in Ohms +z_wire=1+(%i*2); //in Ohms + +//SOLUTION +v_ph=v_l/sqrt(3); +z_star=z_delta/3; +z=z_wire + z_star; +I=v_ph/z; // I_na in rectangular form +//I_na, I_nb and I_nc are same in magnitude and are the line currents for delta connection +//I_na +I_na=sqrt((real(I))^2+(imag(I))^2); //I_na from rectangular to polar form +a=atan(imag(I)/real(I)); //angle in radians +a=a*(180/%pi); //radians to degrees +//I_nb +I_na=sqrt((real(I))^2+(imag(I))^2); +b=a-120; //lags by 120 degrees +//I_nc +I_na=sqrt((real(I))^2+(imag(I))^2); +c=a-240; // lags by another 120 degrees ie.,240 degrees +disp(sprintf("The line currents are %f A (%f degrees), %f A (%f degrees) and %f A (%f degrees)",I_na,a,I_na,b,I_na,c)); + + +//line current lags phase current by 30 degrees, hence (-30) +//I_AB +I_AB=I_na/sqrt(3); +a1=a-(-30); +//I_BC +I_BC=I_na/sqrt(3); +b1=b-(-30); +//I_AC +I_AC=I_na/sqrt(3); +c1=c-(-30); +disp(sprintf("The phase currents are %f A (%f degrees), %f A (%f degrees) and %f A (%f degrees)",I_AB,a1,I_BC,b1,I_AC,c1)); + +//converting z_delta from polar form to rectangular form +z=sqrt((real(z_delta))^2+(imag(z_delta))^2); +angle=atan(imag(z_delta)/real(z_delta)); +angle=angle*(180/%pi); + +//line voltages for load or phase voltages for the delta load- +//v_AB +v_AB=I_AB*z; +a2=a1+angle; +//v_B +v_BC=I_BC*z; +b2=b1+angle; +//v_AC +v_AC=I_AC*z; +c2=c1+angle; +disp(sprintf("The phase voltages for the delta load are %f A (%f degrees), %f A (%f degrees) and %f A (%f degrees)",v_AB,a2,v_BC,b2,v_AC,c2)); + +p_AB=(I_AB^2)*real(z_delta); +p_load=3*p_AB; +disp(sprintf("The power absorbed by the load is %f W",p_load)); +p_l=3*(I_na^2)*real(z_wire); +disp(sprintf("The power dissipated by the line is %f W",p_l)); +p=p_load+p_l; +disp(sprintf("The total power supplied by 3-ϕ source is %f W",p)); + +//Answers may be slightly different due to precision of floating point numbers + +//END |