// A Texbook on POWER SYSTEM ENGINEERING // A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar // DHANPAT RAI & Co. // SECOND EDITION // PART II : TRANSMISSION AND DISTRIBUTION // CHAPTER 8: CORONA // EXAMPLE : 8.4 : // Page number 228-229 clear ; clc ; close ; // Clear the work space and console // Given data V = 110.0 // Operating line voltage(kV) f = 50.0 // Frequency(Hz) l = 175.0 // Line length(km) d = 1.0 // Diameter of conductor(cm) D = 300.0 // Distance b/w conductor(cm) t = 26.0 // Temperature(°C) b = 74.0 // Barometric pressure(cm) m = 0.85 // Irregularity factor m_v_local = 0.72 // Roughness factor for local corona m_v_gen = 0.82 // Roughness factor for general corona // Calculations delta = 3.92*b/(273.0+t) // Air density factor r = d/2.0 // Radius of conductor(cm) E_0 = 21.1*m*delta*r*log(D/r) // Critical disruptive voltage(kV) rms E_v_local = 21.1*m_v_local*delta*r*(1+(0.3/(delta*r)**0.5))*log(D/r) // Critical disruptive voltage for local corona(kV) rms E_v_gen = 21.1*m_v_gen*delta*r*(1+(0.3/(delta*r)**0.5))*log(D/r) // Critical disruptive voltage for general corona(kV) rms E = V/3**0.5 // Phase voltage(kV) // Case(i) P_c_i = 244.0*10**-5*(f+25)/delta*(r/D)**0.5*(E-E_0)**2 // Peek"s formula for fair weather condition(kW/km/phase) P_c_i_total = P_c_i*l*3 // Total power loss(kW) // Case(ii) P_c_ii = 244.0*10**-5*(f+25)/delta*(r/D)**0.5*(E-0.8*E_0)**2 // Peek"s formula for stormy condition(kW/km/phase) P_c_ii_total = P_c_ii*l*3 // Total power loss(kW) // Case(iii) F_iii = 0.0713 // From text depending on E/E_0 P_c_iii = 21.0*10**-6*f*E**2*F_iii/(log10(D/r))**2 // Peterson"s formula for fair condition(kW/km/phase) P_c_iii_total = P_c_iii*l*3 // Total power loss(kW) // Case(iv) F_iv = 0.3945 // From text depending on E/E_0 P_c_iv = 21.0*10**-6*f*E**2*F_iv/(log10(D/r))**2 // Peterson"s formula for stormy condition(kW/km/phase) P_c_iv_total = P_c_iv*l*3 // Total power loss(kW) // Results disp("PART II - EXAMPLE : 8.4 : SOLUTION :-") printf("\nCase(i) : Power loss due to corona using Peek formula for fair weather condition, P_c = %.3f kW/km/phase", P_c_i) printf("\n Total corona loss in fair weather condition using Peek formula = %.1f kW", P_c_i_total) printf("\nCase(ii) : Power loss due to corona using Peek formula for stormy weather condition, P_c = %.2f kW/km/phase", P_c_ii) printf("\n Total corona loss in stormy condition using Peek formula = %.f kW", P_c_ii_total) printf("\nCase(iii): Power loss due to corona using Peterson formula for fair weather condition, P_c = %.4f kW/km/phase", P_c_iii) printf("\n Total corona loss in fair condition using Peterson formula = %.2f kW",P_c_iii_total) printf("\nCase(iii): Power loss due to corona using Peterson formula for fair weather condition, P_c = %.4f kW/km/phase", P_c_iv) printf("\n Total corona loss in stormy condition using Peterson formula = %.1f kW \n",P_c_iv_total) printf("\nNOTE: ERROR: Calculation mistake in the final answer in textbook")