1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
|
// 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")
|
