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Diffstat (limited to '3487/CH7/EX7.1/Ex7_1.sce')
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1 files changed, 45 insertions, 0 deletions
diff --git a/3487/CH7/EX7.1/Ex7_1.sce b/3487/CH7/EX7.1/Ex7_1.sce new file mode 100644 index 000000000..1045e31aa --- /dev/null +++ b/3487/CH7/EX7.1/Ex7_1.sce @@ -0,0 +1,45 @@ +//Chapter 7,Example 7.1 Page 221 +clc +clear +//(i)The natural impedence of the line +d = 100 +r = 0.75 +E0 = 10^-9/36 //Epselon +L = 2*10^-7*log(d/r) // inductance per unit length +C = 2*E0/log(d/r) // capacitance per phase per unit length +NI = sqrt(L/C) // nautral impedence +printf ("(i) The natural impedence of the line \n") +printf (" The natural impedance = %f ohms \n\n",NI) +//(ii) the line current +V = 11000 // V +R = 1000 +Z2= 1000 +Z1 = 294 +I = V/(sqrt(3)*NI) // the line current +printf ("(ii) The line current \n") +printf (" The line current = %f amps \n\n",I) +//(iii) the rate of power consumption +E1 = 2*V*R/(sqrt(3)*(Z1+Z2)) +P = 3*E1^2*1000/R +printf ("(iii) The rate of power consumption \n") +printf (" The rate of power consumption = %f kW \n",P*10^-6) +E2 = ((Z2-Z1)/(Z2+Z1))*(11/sqrt(3)) +Er = 3*(E2^2)*1000/Z1 +printf (" The rate of reflected energy = %f kW \n\n",Er) +//(iv) the rate of reflected energy +printf ("(iv) The rate of reflected energy \n") +printf (" In order that the incident wave when reaches the terminating resistance, \n does not suffer reflection, the terminating resistance should be equal to \n the surge impedance of the line, i.e.%f ohms \n\n",NI) +//(v) The amount of reflected and transmitted power +printf ("(v) The amount of reflected and transmitted power \n") +L = 0.5*10^-8 +C = 10^-12 +SI = sqrt(L/C) // surge impedence of the cable +printf (" Surge impedence of the cable = %f ohm \n",SI) +ReffV = (2*SI/(Z1+SI))*(11/sqrt(3)) // refracted voltage +Rif = ((SI-Z1)/(Z1+SI))*(11/sqrt(3)) // reflected voltage +refP = 3*ReffV^2*1000/SI +rifp = 3*Rif^2*1000/Z1 +printf (" Refracted powers = %f kW \n",refP) // refracted powers +printf (" Reflected powers = %f kW \n",rifp) // reflected powers + +// Answers may vary due to round off error |