// ELECTRIC POWER TRANSMISSION SYSTEM ENGINEERING ANALYSIS AND DESIGN // TURAN GONEN // CRC PRESS // SECOND EDITION // CHAPTER : 7 : TRANSIENT OVERVOLTAGES AND INSULATION COORDINATION // EXAMPLE : 7.4 : clear ; clc ; close ; // Clear the work space and console // GIVEN DATA R = 500 ; // Resistance in Ω Z_c = 400 ; // characteristic impedance in Ω v_f = 5000 ; // Forward travelling voltage wave in V i_f = 12.5 ; // Forward travelling current wave in A // CALCULATIONS // For case (a) r_v = (R - Z_c)/(R + Z_c) ; // Reflection coefficient of voltage wave // For case (b) r_i = -(R - Z_c)/(R + Z_c) ; // Reflection coefficient of current wave // For case (c) v_b = r_v * v_f ; // Backward-travelling voltage wave in V // For case (d) v = v_f + v_b ; // Voltage at end of line in V v1 = (2 * R/(R + Z_c)) * v_f ; // (or) Voltage at end of line in V // For case (e) t1 = (2 * R/(R + Z_c)) ; // Refraction coefficient of voltage wave // For case (f) i_b = -( v_b/Z_c ) ; // backward-travelling current wave in A i_b1 = -r_v * i_f ; // (or) backward-travelling current wave in A // For case (g) i = v/R ; // Current flowing through resistor in A // For case (h) t2 = (2 * Z_c/(R + Z_c)) ; // Refraction coefficient of current wave // DISPLAY RESULTS disp("EXAMPLE : 7.4 : SOLUTION :-") ; printf("\n (a) Reflection coefficient of voltage wave , ρ = %.4f \n",r_v) ; printf("\n (b) Reflection coefficient of current wave , ρ = %.4f \n",r_i) ; printf("\n (c) Backward-travelling voltage wave , v_b = %.3f V \n",v_b) ; printf("\n (d) Voltage at end of line , v = %.3f V \n",v) ; printf("\n From alternative method ") printf("\n Voltage at end of line , v = %.3f V \n",v) ; printf("\n (e) Refraction coefficient of voltage wave , Γ = %.4f \n",t1) ; printf("\n (f) Backward-travelling current wave , i_b = %.4f A \n",i_b) ; printf("\n (g) Current flowing through resistor, i = %.4f A \n",i) ; printf("\n (h) Refraction coefficient of current wave , Γ = %.4f \n",t2) ;