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diff --git a/1445/CH2/EX2.16/Ex2_16.sce b/1445/CH2/EX2.16/Ex2_16.sce new file mode 100644 index 000000000..1de5edbc7 --- /dev/null +++ b/1445/CH2/EX2.16/Ex2_16.sce @@ -0,0 +1,80 @@ +//CHAPTER 2- STEADY-STATE ANALYSIS OF SINGLE-PHASE A.C. CIRCUIT +//Example 16 + +disp("CHAPTER 2"); +disp("EXAMPLE 16"); + +//VARIABLE INITIALIZATION +r1=5; //in Ohms +r2=10; //in Ohms +L1=0.04; //in Henry +L2=0.05; //in Henry +v=200; //in Volts +f=50; //in Hertz + +//SOLUTION + +//solution (i) +xl1=L1*(2*%pi*f); +xl2=L2*(2*%pi*f); +z1=r1+(%i*xl1); +z2=r2+(%i*xl2); +//function to convert from rectangular form to polar form +function [z,angle]=rect2pol(x,y); +z=sqrt((x^2)+(y^2)); //z is impedance & the resultant of x and y +angle=atan(y/x)*(180/%pi); //to convert the angle from radians to degrees +endfunction; +[z1,angle1]=rect2pol(r1,xl1); +[z2,angle2]=rect2pol(r2,xl2); +Y1=1/z1; //admittance +Y2=1/z2; +//function to convert from polar form to rectangular form +function [x,y]=pol2rect(mag,angle); +x=mag*cos(angle*(%pi/180)); //to convert the angle from degrees to radians +y=mag*sin(angle*(%pi/180)); +endfunction; +[G1,B1]=pol2rect(Y1,angle1); +[G2,B2]=pol2rect(Y2,angle2); +disp("......................................"); +disp("SOLUTION (i)"); +disp(sprintf("Conductance of 1st coil is %5.3f S",G1)); +disp(sprintf("Conductance of 2nd coil is %5.3f S",G2)); +disp(" "); +disp(sprintf("Susceptance of 1st coil is %5.3f S",B1)); +disp(sprintf("Susceptance of 2nd coil is %5.3f S",B2)); +disp(" "); +disp(sprintf("Admittance of 1st coil is %5.3f S",Y1)); +disp(sprintf("Admittance of 2nd coil is %5.3f S",Y2)); +disp("......................................"); + +//solution (ii) +G=G1+G2; +B=B1+B2; +[Y,angle]=rect2pol(G,B); +I=v*Y; +pf=cos((angle)*(%pi/180)); +disp("SOLUTION (ii)"); +disp(sprintf("Total current drawn by the circuit is %5.3f A, %.2f degrees",I,-angle)); +disp(sprintf("Power factor of the circuit is %5.3f (lagging)",pf)); +disp("......................................"); + +//solution (iii) +p=v*I*pf; +disp("SOLUTION (iii)"); +disp(sprintf("Power absorbed by the circuit is %5.3f kW",p/1000));// text book answer is 2.256 kW +disp("......................................"); + +//solution (iv) +z=v/I; +function [x,y]=pol2rect(mag,angle); +x=mag*cos(angle*(%pi/180)); //to convert the angle from degrees to radians +y=mag*sin(angle*(%pi/180)); +endfunction; +[r,x]=pol2rect(z,angle); +L=x/(2*%pi*f); +disp("SOLUTION (iv)"); +disp(sprintf("Resitance of single coil is %5.3f Ω",r));// +disp(sprintf("Inductance of single coil is %5.3f H",L));//inductance not worked out i the etx book +disp("......................................"); + +//END |