//Electric Power Generation, Transmission and Distribution by S.N.Singh //Publisher:PHI Learning Private Limited //Year: 2012 ; Edition - 2 //Example 11.4 //Scilab Version : 6.0.0 ; OS : Windows clc; clear; f=50; //Supply frequency in Hz l=450; //Length of the line in km V=400; //Supply voltage in kV R=0.033; //Resistance of the line in Ohm/km L=1.067; //Inductance of the line in mH/km C=0.0109; //Capacitance of the line in microFarad/km P=420; //Power in MW pf=0.95; //Power factor Z=R+%i*(2*%pi*f*L*10^(-3)); //Impedance of the line in Ohm/km Y=%i*(2*%pi*f*C); //Admittance of the line in mho/km Zc=((Z/Y)^(1/2))*10^(3); //Characteristic impedance of the line in Ohm/km pro_const=(Z*Y)^(1/2); //Propagation constant of the line angle=pro_const*l*10^(-3); s=sinh(angle); //Sinusoidal angle c=cosh(angle); //Cosine angle Ir=P*10^(6)/((3)^(1/2)*V*10^(3)*pf); //Magnitude of receiving end current in A Ir1=(Ir*(cosd(-acosd(pf))+%i*sind(-acosd(pf))))*10^(-3); //Receiving end current including power factor angle Vr=V/(3)^(1/2); //Receiving end phase voltage in kV Vs=Vr*c+(Zc*Ir1*s); //Sending end voltage in kV llv=abs(Vs)*sqrt(3); //Line to line voltage in kV Is=((Vr*10^(3)/Zc)*s)+(Ir1*c); //Sending end current in A pfs=cosd(atan(imag(Vs),real(Vs))-atan(imag(Is),real(Is))); //Sending end power factor delta=atand(imag(Vs),real(Vs)); //Load angle in degree A=cosh(angle); //Parameter of voltage and current eqn in degree B=Zc*sinh(angle); //Parameter of voltage and current eqn in Ohm C=sinh(angle)/Zc; //Parameter of voltage and current eqn in mho D=A; //Parameter of voltage and current eqn in degree reg=(((abs(Vs)/abs(A))-Vr)/Vr)*100; //Regulation of the line inp_pow=(3*abs(Vs)*abs(Is)*pfs)*10^(-3); //Input power in MW eff=(P/inp_pow)*100; //Efficiency of the line printf("\nVoltage at sending end of the line is %.2f kV",Vs); printf("\nCurrent at sending end of the line is %.2f A",abs(Is)); printf("\nSending end powerfactor and Load angle of the line is %.4f and %.2f",pfs,delta); printf("\nABCD parameters of the line is %.3f and %.2f ohm and %.3e mho and %.3f ",A,abs(B),abs(C),D); printf("\nRegulation of the line is %.1f percentage",reg); printf("\nEfficiency of the line is %.2f percentage",eff); //Variation present in result due to wrong substitution in Vs