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SUBESTACIÓN DE TURI 08 (Sistema de Distribución Radial Simple)
Datos SE TURI69/22KV
32 MVA
SE 1 2 3 4 5 6 7 8
25
MATRIZ DE INCIDENCIA FSnij 1 2 3 4 5 6 7 8 9 10 11
1 1 1 1 1 1 1 1 1 1 1 12 0 1 1 1 1 1 1 1 1 1 13 0 0 1 1 1 1 1 1 1 1 14 0 0 0 1 1 1 1 1 1 1 15 0 0 0 0 1 1 1 1 1 1 16 0 0 0 0 0 1 1 1 1 1 17 0 0 0 0 0 0 1 1 1 1 18 0 0 0 0 0 0 0 1 1 1 19 0 0 0 0 0 0 0 0 1 1 1
10 0 0 0 0 0 0 0 0 0 1 111 0 0 0 0 0 0 0 0 0 0 112 0 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0 021 0 0 0 0 0 0 0 0 0 0 022 0 0 0 0 0 0 0 0 0 0 023 0 0 0 0 0 0 0 0 0 0 024 0 0 0 0 0 0 0 0 0 0 025 0 0 0 0 0 0 0 0 0 0 026 0 0 0 0 0 0 0 0 0 0 027 0 0 0 0 0 0 0 0 0 0 028 0 0 0 0 0 0 0 0 0 0 029 0 0 0 0 0 0 0 0 0 0 030 0 0 0 0 0 0 0 0 0 0 031 0 0 0 0 0 0 0 0 0 0 032 0 0 0 0 0 0 0 0 0 0 033 0 0 0 0 0 0 0 0 0 0 034 0 0 0 0 0 0 0 0 0 0 035 0 0 0 0 0 0 0 0 0 0 036 0 0 0 0 0 0 0 0 0 0 037 0 0 0 0 0 0 0 0 0 0 038 0 0 0 0 0 0 0 0 0 0 039 0 0 0 0 0 0 0 0 0 0 0
40 0 0 0 0 0 0 0 0 0 0 0
MATRIZ TRANSPUESTA FSnij 1 2 3 4 5 6 7 8 9 10 11
1 1 0 0 0 0 0 0 0 0 0 02 1 1 0 0 0 0 0 0 0 0 03 1 1 1 0 0 0 0 0 0 0 04 1 1 1 1 0 0 0 0 0 0 05 1 1 1 1 1 0 0 0 0 0 06 1 1 1 1 1 1 0 0 0 0 07 1 1 1 1 1 1 1 0 0 0 08 1 1 1 1 1 1 1 1 0 0 09 1 1 1 1 1 1 1 1 1 0 0
10 1 1 1 1 1 1 1 1 1 1 011 1 1 1 1 1 1 1 1 1 1 112 1 1 1 1 1 1 1 1 1 1 113 1 1 1 1 1 1 1 1 1 1 114 1 1 1 1 1 1 1 1 1 1 115 1 1 1 1 1 1 1 1 1 1 116 1 1 1 1 1 1 1 1 1 1 117 1 1 1 1 1 1 1 1 1 1 118 1 1 1 1 1 1 1 1 1 1 119 1 1 1 1 1 1 1 1 1 1 120 1 1 1 1 1 1 1 1 1 1 121 1 1 1 1 1 1 1 1 1 1 122 1 1 1 1 1 1 1 1 1 1 123 1 1 1 1 1 1 1 1 1 1 124 1 1 1 1 1 1 1 1 1 1 125 1 1 1 1 1 1 1 1 1 0 026 1 1 1 1 1 1 1 1 1 1 027 1 1 1 1 1 1 1 1 1 1 128 1 1 1 1 1 1 1 1 1 1 129 1 1 1 1 1 1 1 1 1 1 130 1 1 1 1 1 1 1 1 1 1 131 1 1 1 1 1 1 1 1 1 1 132 1 1 1 1 1 1 1 1 1 1 133 1 1 1 1 1 1 1 1 1 1 134 1 1 1 1 1 1 1 1 1 1 135 1 1 1 1 1 1 1 1 1 0 036 1 1 1 1 1 1 1 1 1 1 037 1 1 1 1 1 1 1 1 1 1 038 1 1 1 1 1 1 1 1 1 1 139 1 1 1 1 1 1 1 1 1 1 140 1 1 1 1 1 1 1 1 1 1 1
UNIVERSIDAD POLITECNICA SALESIANANombres: Sinchi, Uguña, Peñalosa, CárdenasMateria: Sistemas Electricos De Potencia 2
FLUJOS DE POTENCIA 40 BARRAS
SUBESTACIÓN DE TURI 08 (Sistema de Distribución Radial Simple)
31
36 37
26 30
9 10 11 12 13 14 15 16 17 18 19
27
29
28
35
38
MATRIZ DE INCIDENCIA FS12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 10 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 10 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 10 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
MATRIZ TRANSPUESTA FS12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 01 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 01 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 11 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 01 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1
[Ω/Km]
UNIVERSIDAD POLITECNICA SALESIANA Z0
Nombres: Sinchi, Uguña, Peñalosa, Cárdenas Z1
Materia: Sistemas Electricos De Potencia 2 Z2
FLUJOS DE POTENCIA 40 BARRAS
SUBESTACIÓN DE TURI 08 (Sistema de Distribución Radial Simple) Nodo Envio ni
0
1
2
345
39 678
33 910111213
20 21 22 23 24 141516
32 34 1718192021
40 22239
10
11151617
MATRIZ DE INCIDENCIA FS 3033 34 35 36 37 38 39 40 20
1 1 1 1 1 1 1 1 211 1 1 1 1 1 1 1 241 1 1 1 1 1 1 1 251 1 1 1 1 1 1 1 261 1 1 1 1 1 1 1 361 1 1 1 1 1 1 1 281 1 1 1 1 1 1 1 301 1 1 1 1 1 1 1 321 1 1 1 1 1 1 11 1 0 1 1 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 0 1 11 1 0 0 0 0 1 11 1 0 0 0 0 0 11 1 0 0 0 0 0 11 1 0 0 0 0 0 11 1 0 0 0 0 0 00 1 0 0 0 0 0 00 1 0 0 0 0 0 00 1 0 0 0 0 0 00 0 1 0 0 0 0 00 0 0 1 1 0 0 00 0 0 0 0 0 0 00 0 0 0 0 1 0 00 0 0 0 0 0 0 00 0 0 0 0 0 1 00 0 0 0 0 0 0 00 0 0 0 0 0 0 11 0 0 0 0 0 0 00 1 0 0 0 0 0 00 0 1 0 0 0 0 00 0 0 1 1 0 0 00 0 0 0 1 0 0 00 0 0 0 0 1 0 00 0 0 0 0 0 1 0
0 0 0 0 0 0 0 1
MATRIZ TRANSPUESTA FS33 34 35 36 37 38 39 40
0 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 01 0 0 0 0 0 0 00 1 0 0 0 0 0 00 0 1 0 0 0 0 00 0 0 1 0 0 0 00 0 0 1 1 0 0 00 0 0 0 0 1 0 00 0 0 0 0 0 1 00 0 0 0 0 0 0 1
[Ω/Km] Real Imaginario Datos iniciales M.T.Z0 0.68409924267 1.42342457175 factor potencia
Z1 0.33643 0.50922 factor de carga
Z2 0.33642788629 0.50922128787 Tensión [kV]
Nodo Vano Distancia Sins.j Sj Pj Qj Recibo nj Lij (m) Lj(m) (KVA) (KVA) (KWatt) (KVAR)
1 256.3786 256.3786 300 180 162 78.4602
2 50.8948 307.2734 300 180 162 78.4602
3 52.6783 359.9517 300 180 162 78.4602
4 333.9535 693.9052 300 180 162 78.46025 1102.438 1796.3432 300 180 162 78.46026 127.394 1923.7372 300 180 162 78.46027 105.7054 2029.4426 300 180 162 78.46028 526.4376 2555.8802 300 180 162 78.46029 752.3803 3308.2605 300 180 162 78.4602
10 24.8616 3333.1221 300 180 162 78.460211 85.7136 3418.8357 300 180 162 78.460212 178.593 3597.4287 300 180 162 78.460213 71.8968 3669.3255 300 180 162 78.460214 102.2348 3771.5603 300 180 162 78.460215 97.9938 3869.5541 300 180 162 78.460216 63.904 3933.4581 300 180 162 78.460217 126.9048 4060.3629 300 180 162 78.460218 161.6066 4221.9695 300 180 162 78.460219 77.7598 4299.7293 300 180 162 78.460220 17.274 4317.0033 300 180 162 78.460221 113.6672 4430.6705 300 180 162 78.460222 167.2665 4597.937 300 180 162 78.460223 80.8541 4678.7911 300 180 162 78.460224 44.8918 4723.6829 300 180 162 78.460225 112.0198 3420.2803 300 180 162 78.460226 142.7777 3475.8998 300 180 162 78.4602
27 331.4316 3750.2673 300 180 162 78.460228 62.0158 3931.5699 300 180 162 78.460229 68.2194 4001.6775 300 180 162 78.460230 48.8619 4109.2248 300 180 162 78.460231 58.0566 4167.2814 300 180 162 78.460232 228.0651 4545.0684 300 180 162 78.460233 115.7403 4546.4108 300 180 162 78.460234 175.0258 4898.7087 300 180 162 78.460235 123.9674 3544.2477 300 180 162 78.460236 59.5157 3535.4155 300 180 162 78.460237 48.0233 3583.4388 300 180 162 78.460238 61.3221 3992.892 300 180 162 78.460239 109.79 4219.0148 300 180 162 78.460240 166.7877 4711.8561 300 180 162 78.4602
RESULTADOSNodo Longitud
Recibo nj Lj (km)27 3.75027 1.08185 1.6375 1948.49965 948.33 2167.0224329 4.00168 0.44676 0.6762 2760.04642 1342.98 3069.4361231 4.16728 0.47514 0.7192 3085.26504 1501.74 3431.3383833 4.54641 1.27239 1.9259 3574.82275 1742.51 3976.8936234 4.89871 2.49008 3.7690 4065.43999 1984.87 4524.1054135 3.54425 0.33980 0.5143 1785.72023 868.69 1985.8056937 3.58344 0.18375 0.2781 2109.95204 1025.96 2346.1671338 3.99289 0.40157 0.6078 2759.99027 1342.89 3069.3484439 4.21901 0.89888 1.3606 3085.68878 1502.38 3432.0001140 4.71186 1.83604 2.7791 3576.53365 1745.10 3979.56652
∆Pj (KWatt)
∆Qj (Kvar)
Pi (KWatt)
Qi (Kvar)
Si (Kva)
Datos iniciales M.T.TIPO DE CIRC, Kcirc Ku
0.9 3F 1 1
0.6 1F-N 6 3
22 2F-N-1f 2.25 1.5
1F-L 2 1.73
Primera IteraccionCalibre Pj Qj Sj
Kcirc KuR(Ohm) X(Mho) (KWatt) (KVAR) (KVA) (KWatt)
0.3364 0.5092 162 78.4602 180 1 1 0.006
0.3364 0.5092 324 156.9204 360 1 1 0.005
0.3364 0.5092 486 235.3805 540 1 1 0.011
0.3364 0.5092 648 313.8407 720 1 1 0.1200.3364 0.5092 810 392.3009 900 1 1 0.6210.3364 0.5092 972 470.7611 1080 1 1 0.1030.3364 0.5092 1134 549.2213 1260 1 1 0.1170.3364 0.5092 1296 627.6814 1440 1 1 0.7590.3364 0.5092 1458 706.1416 1620 1 1 1.3730.3364 0.5092 1620 784.6018 1800 1 1 0.0560.3364 0.5092 1782 863.0620 1980 1 1 0.2340.3364 0.5092 1944 941.5222 2160 1 1 0.5790.3364 0.5092 2106 1019.9824 2340 1 1 0.2740.3364 0.5092 2268 1098.4425 2520 1 1 0.4510.3364 0.5092 2430 1176.9027 2700 1 1 0.4970.3364 0.5092 2592 1255.3629 2880 1 1 0.3680.3364 0.5092 2754 1333.8231 3060 1 1 0.8260.3364 0.5092 2916 1412.2833 3240 1 1 1.1790.3364 0.5092 3078 1490.7434 3420 1 1 0.6320.3364 0.5092 3240 1569.2036 3600 1 1 0.1560.3364 0.5092 3402 1647.6638 3780 1 1 1.1290.3364 0.5092 3564 1726.1240 3960 1 1 1.8230.3364 0.5092 3726 1804.5842 4140 1 1 0.9630.3364 0.5092 3888 1883.0443 4320 1 1 0.5820.3364 0.5092 1620 784.6018 1800 1 1 0.2520.3364 0.5092 1782 863.0620 1980 1 1 0.389
∆Pj
0.3364 0.5092 1944 941.5222 2160 1 1 1.0750.3364 0.5092 2592 1255.3629 2880 1 1 0.3580.3364 0.5092 2754 1333.8231 3060 1 1 0.4440.3364 0.5092 2916 1412.2833 3240 1 1 0.3570.3364 0.5092 3078 1490.7434 3420 1 1 0.4720.3364 0.5092 3402 1647.6638 3780 1 1 2.2650.3364 0.5092 3564 1726.1240 3960 1 1 1.2620.3364 0.5092 4050 1961.5045 4500 1 1 2.4640.3364 0.5092 1782 863.0620 1980 1 1 0.3380.3364 0.5092 1944 941.5222 2160 1 1 0.1930.3364 0.5092 2106 1019.9824 2340 1 1 0.1830.3364 0.5092 2754 1333.8231 3060 1 1 0.3990.3364 0.5092 3078 1490.7434 3420 1 1 0.8930.3364 0.5092 3564 1726.1240 3960 1 1 1.818
RESULTADOS Conductor1 2 3 4
3x2(2) 3x1/0(2) 3x1/0(1/0) 3x3/0(1/0)Nodo
(KU) Recibo nj (KU) (KU) (KU) (KU)0.48970666 0.0780 27 0.9325 0.6508 0.6508 0.48970.57165573 0.0227 29 1.0886 0.7597 0.7597 0.57170.63008128 0.0216 31 1.1999 0.8374 0.8374 0.63010.78083405 0.0500 33 1.4873 1.0378 1.0377 0.78080.94679613 0.0860 34 1.8039 1.2584 1.2584 0.94680.43707725 0.0267 35 0.8322 0.5808 0.5808 0.43710.45026466 0.0122 37 0.8573 0.5984 0.5984 0.45030.56876497 0.0204 38 1.0831 0.7559 0.7559 0.56880.64936034 0.0409 39 1.2367 0.8630 0.8630 0.64940.85013534 0.0721 40 1.6195 1.1299 1.1299 0.8501
∆Uj ∆Uij (%)
∆Uj ∆Uj ∆Uj ∆Uj
Primera IteraccionPi Qi Si
(Kvar) (KWatt) (Kvar) (Kva) (KU) (%) (%) (KU)
0.009 162.006 78.469 180.009 1.101 0.005 0.005 21.999
0.007 324.005 156.927 360.007 0.437 0.002 0.007 22.000
0.016 486.011 235.397 540.017 0.679 0.003 0.010 21.999
0.182 648.120 314.023 720.188 5.737 0.026 0.036 21.9940.940 810.621 393.240 900.968 23.701 0.108 0.144 21.9760.156 972.103 470.917 1080.161 3.282 0.015 0.159 21.9970.177 1134.117 549.398 1260.182 3.177 0.014 0.173 21.9971.149 1296.759 628.830 1441.184 18.102 0.082 0.256 21.9822.077 1459.373 708.219 1622.141 29.124 0.132 0.388 21.9710.085 1620.056 784.687 1800.087 1.067 0.005 0.393 21.9990.354 1782.234 863.416 1980.364 4.049 0.018 0.411 21.9960.877 1944.579 942.399 2160.903 9.206 0.042 0.453 21.9910.414 2106.274 1020.397 2340.427 4.014 0.018 0.471 21.9960.683 2268.451 1099.126 2520.704 6.147 0.028 0.499 21.9940.752 2430.497 1177.654 2700.775 6.313 0.029 0.528 21.9940.558 2592.368 1255.921 2880.575 4.391 0.020 0.548 21.9961.250 2754.826 1335.073 3061.288 9.268 0.042 0.590 21.9911.785 2917.179 1414.068 3241.839 12.499 0.057 0.647 21.9880.957 3078.632 1491.700 3420.986 6.346 0.029 0.676 21.9940.236 3240.156 1569.439 3600.243 1.483 0.007 0.682 21.9991.709 3403.129 1649.373 3781.761 10.255 0.047 0.729 21.9902.760 3565.823 1728.884 3962.844 15.814 0.072 0.801 21.9841.458 3726.963 1806.042 4141.503 7.988 0.036 0.837 21.9920.881 3888.582 1883.926 4320.908 4.627 0.021 0.858 21.9950.382 1620.252 784.984 1800.394 4.811 0.022 0.410 21.9950.589 1782.389 863.651 1980.607 6.746 0.031 0.423 21.993
∆Qj ∆Uij ∆Uij Uj Uj
1.627 1945.075 943.149 2161.677 17.094 0.078 0.489 21.9830.541 2592.358 1255.904 2880.558 4.261 0.019 0.547 21.9960.672 2754.444 1334.495 3060.693 4.981 0.023 0.570 21.9950.540 2916.357 1412.823 3240.556 3.777 0.017 0.607 21.9960.714 3078.472 1491.458 3420.736 4.737 0.022 0.629 21.9953.428 3404.265 1651.092 3783.534 20.589 0.094 0.776 21.9791.910 3565.262 1728.034 3961.968 10.940 0.050 0.779 21.9893.729 4052.464 1965.233 4503.843 18.808 0.085 0.944 21.9810.511 1782.338 863.573 1980.527 5.857 0.027 0.436 21.9940.292 1944.193 941.814 2160.301 3.067 0.014 0.437 21.9970.277 2106.183 1020.259 2340.285 2.681 0.012 0.450 21.9970.604 2754.399 1334.427 3060.623 4.477 0.020 0.568 21.9961.351 3078.893 1492.095 3421.392 8.961 0.041 0.648 21.9912.752 3565.818 1728.876 3962.836 15.769 0.072 0.848 21.984
Variaciones Conductor1 2
3x2(2) 3x1/0(2)
1 a 2 1 a 3 1 a 4Nodo
Recibo nj30% 30% 47% 27 2.7492 1.7296 1.688730% 30% 47% 29 1.1350 0.7140 0.697330% 30% 47% 31 1.2076 0.7597 0.741730% 30% 48% 33 3.2394 2.0380 1.987530% 30% 48% 34 6.3520 3.9963 3.892330% 30% 47% 35 0.8630 0.5429 0.530330% 30% 47% 37 0.4664 0.2934 0.286730% 30% 47% 38 1.0201 0.6418 0.626730% 30% 47% 39 2.2853 1.4378 1.403430% 30% 48% 40 4.6801 2.9444 2.8692
∆Pj KW
∆Qj Kvar
∆Pj Kwatt
Primera Iteraccion Segunda IteraccionQj Sj
(KU) (KVAR) (KVA)
22 162.006 162.0058 78.469 78.4689 180.0090 0.0058
22 162.005 324.0104 78.467 156.9360 360.0162 0.0046
22 162.011 486.0210 78.476 235.4124 540.0328 0.0107
22 162.120 648.1414 78.642 314.0547 720.2205 0.120422 162.621 810.7621 79.400 393.4544 901.1889 0.622322 162.103 972.8654 78.617 472.0709 1081.3501 0.103522 162.117 1134.9820 78.637 550.7077 1261.5320 0.116922 162.759 1297.7408 79.609 630.3163 1442.7161 0.761622 163.373 1461.1133 80.538 710.8540 1624.8586 1.380822 162.056 1623.1693 78.545 789.3989 1804.9458 0.056322 162.234 1785.4029 78.814 868.2126 1985.3102 0.234822 162.579 1947.9821 79.337 947.5495 2166.2142 0.582522 162.274 2110.2557 78.874 1026.4238 2346.6412 0.275222 162.451 2272.7070 79.143 1105.5671 2527.3456 0.453922 162.497 2435.2035 79.212 1184.7789 2708.1206 0.499622 162.368 2597.5720 79.018 1263.7967 2888.6956 0.370722 162.826 2760.3980 79.710 1343.5071 3069.9850 0.831422 163.179 2923.5772 80.245 1423.7522 3251.8262 1.187822 162.632 3086.2094 79.417 1503.1693 3432.8131 0.636922 162.156 3248.3650 78.696 1581.8650 3613.0558 0.156722 163.129 3411.4939 80.169 1662.0339 3794.8185 1.137822 163.823 3575.3172 81.220 1743.2538 3977.6660 1.839622 162.963 3738.2804 79.918 1823.1720 4159.1702 0.972222 162.582 3900.8628 79.342 1902.5136 4340.0793 0.587822 162.252 1623.3656 78.842 789.6960 1805.2522 0.253822 162.389 1785.5584 79.049 868.4480 1985.5530 0.3913
U i Pj+∆Pj (KWatt)
Pj (KWatt)
Qj+∆Qj (KVAR)
∆Pj (KWatt)
22 163.075 1948.4777 80.087 948.2997 2166.9882 1.081822 162.358 2597.5611 79.001 1263.7802 2888.6786 0.359722 162.444 2760.0160 79.132 1342.9290 3069.3886 0.446722 162.357 2922.7545 79.000 1422.5069 3250.5415 0.358922 162.472 3085.2265 79.175 1501.6816 3431.2782 0.475122 164.265 3412.6301 81.889 1663.7536 3796.5933 2.285022 163.262 3574.7555 80.370 1742.4037 3976.7886 1.272322 164.464 4065.3264 82.189 1984.7028 4523.9279 2.489922 162.338 1785.7034 78.972 868.6675 1985.7794 0.339822 162.193 1947.7514 78.752 947.2003 2165.8541 0.194122 162.183 2109.9342 78.737 1025.9372 2346.1392 0.183722 162.399 2759.9602 79.064 1342.8445 3069.3015 0.401622 162.893 3085.6471 79.811 1502.3182 3431.9350 0.898922 163.818 3576.4481 81.212 1744.9656 3979.4329 1.8359
2 3 4 Variaciones3x1/0(2) 3x1/0(1/0) 3x3/0(1/0) De 1 a 2
1.6675 1.6887 1.6674 1.0819 1.6375 39% 4%0.6885 0.6973 0.6885 0.4468 0.6762 39% 4%0.7324 0.7417 0.7324 0.4751 0.7192 39% 4%1.9625 1.9875 1.9624 1.2724 1.9259 39% 4%3.8433 3.8923 3.8432 2.4901 3.7690 39% 4%0.5236 0.5303 0.5236 0.3398 0.5143 39% 4%0.2831 0.2867 0.2831 0.1837 0.2781 39% 4%0.6189 0.6267 0.6188 0.4016 0.6078 39% 4%1.3857 1.4033 1.3857 0.8989 1.3606 39% 4%2.8331 2.8691 2.8330 1.8360 2.7791 39% 4%
∆Qj Kvar
∆Pj KW
∆Qj Kvar
∆Pj KW
∆Qj Kvar ∆Pj KW ∆Qj
Kvar
Segunda Iteraccion
0.0087 162.006 78.469 180.0090 1.1008 0.0050 0.0050 21.9989
0.0069 324.010 156.936 360.0162 0.4371 0.0020 0.0070 21.9996
0.0162 486.021 235.412 540.0328 0.6786 0.0031 0.0101 21.9993
0.1823 648.141 314.055 720.2206 5.7376 0.0261 0.0362 21.99430.9420 810.764 393.457 901.1915 23.7084 0.1078 0.1439 21.97630.1567 972.866 472.071 1081.3505 3.2873 0.0149 0.1589 21.99670.1770 1134.982 550.708 1261.5325 3.1821 0.0145 0.1733 21.99681.1528 1297.744 630.321 1442.7206 18.1279 0.0824 0.2557 21.98192.0899 1461.122 710.866 1624.8715 29.1907 0.1327 0.3884 21.97080.0852 1623.170 789.399 1804.9462 1.0714 0.0049 0.3933 21.99890.3554 1785.404 868.215 1985.3122 4.0627 0.0185 0.4117 21.99590.8817 1947.985 947.555 2166.2194 9.2371 0.0420 0.4537 21.99080.4165 2110.257 1026.426 2346.6437 4.0283 0.0183 0.4720 21.99600.6871 2272.710 1105.571 2527.3497 6.1693 0.0280 0.5001 21.99380.7561 2435.207 1184.783 2708.1253 6.3366 0.0288 0.5289 21.99370.5610 2597.574 1263.800 2888.6991 4.4078 0.0200 0.5489 21.99561.2584 2760.403 1343.515 3069.9935 9.3034 0.0423 0.5912 21.99071.7979 2923.586 1423.765 3251.8397 12.5509 0.0570 0.6483 21.98740.9641 3086.214 1503.176 3432.8206 6.3754 0.0290 0.6772 21.99360.2372 3248.366 1581.867 3613.0575 1.4906 0.0068 0.6840 21.99851.7222 3411.503 1662.047 3794.8324 10.3028 0.0468 0.7308 21.98972.7844 3575.333 1743.278 3977.6914 15.8945 0.0722 0.8031 21.98411.4716 3738.289 1823.186 4159.1842 8.0342 0.0365 0.8396 21.99200.8897 3900.868 1902.522 4340.0878 4.6548 0.0212 0.8608 21.99530.3841 1623.367 789.698 1805.2545 4.8284 0.0219 0.4104 21.99520.5922 1785.561 868.451 1985.5564 6.7686 0.0308 0.4240 21.9932
∆Qj (Kvar)
Pi (KWatt)
Qi (Kvar)
Si (Kva)
∆Uij (KU)
∆Uij (%)
∆Uj (KU)
∆Uj (KU)
1.6375 1948.485 948.310 2166.9991 17.1504 0.0780 0.4897 21.98280.5445 2597.563 1263.783 2888.6820 4.2775 0.0194 0.5483 21.99570.6762 2760.019 1342.933 3069.3929 4.9999 0.0227 0.5717 21.99500.5432 2922.757 1422.510 3250.5451 3.7927 0.0172 0.6085 21.99620.7192 3085.230 1501.686 3431.2831 4.7571 0.0216 0.6301 21.99523.4587 3412.650 1663.784 3796.6244 20.6849 0.0940 0.7780 21.97931.9258 3574.766 1742.420 3976.8053 10.9950 0.0500 0.7808 21.98903.7687 4065.353 1984.743 4523.9690 18.9217 0.0860 0.9468 21.98110.5143 1785.705 868.671 1985.7825 5.8778 0.0267 0.4371 21.99410.2937 1947.752 947.202 2165.8557 3.0775 0.0140 0.4380 21.99690.2781 2109.935 1025.939 2346.1407 2.6899 0.0122 0.4503 21.99730.6078 2759.963 1342.848 3069.3053 4.4942 0.0204 0.5688 21.99551.3605 3085.653 1502.328 3431.9448 8.9984 0.0409 0.6494 21.99102.7789 3576.466 1744.993 3979.4608 15.8586 0.0721 0.8501 21.9841
VariacionesDe 1 a 3 De 1 a 4
39% 4% 61% 5%39% 4% 61% 5%39% 4% 61% 5%39% 4% 61% 5%39% 4% 61% 6%39% 4% 61% 5%39% 4% 61% 5%39% 4% 61% 5%39% 4% 61% 5%39% 4% 61% 6%
∆Pj KW
∆Qj Kvar
∆Pj KW
∆Qj Kvar
Segunda Iteraccion Tercera IteraccionDiferencias
(KU) Uj2-Uj1
22 -7.45E-12 5.77E-03 162.0058 162.0058 78.4689 78.4689
22 -1.48E-08 4.58E-03 162.0046 324.0104 78.4671 156.9360
22 -2.75E-08 1.07E-02 162.0107 486.0210 78.4763 235.4124
22 -3.55E-07 1.20E-01 162.1204 648.1414 78.6424 314.054822 -7.93E-06 6.21E-01 162.6223 810.7638 79.4022 393.457022 -4.89E-06 1.03E-01 162.1035 972.8673 78.6169 472.073922 -4.61E-06 1.17E-01 162.1169 1134.9843 78.6372 550.711122 -2.61E-05 7.59E-01 162.7616 1297.7459 79.6130 630.324122 -6.62E-05 1.37E+00 163.3808 1461.1267 80.5501 710.874222 -3.90E-06 5.60E-02 162.0563 1623.1830 78.5454 789.419622 -1.37E-05 2.34E-01 162.2348 1785.4178 78.8156 868.235222 -3.06E-05 5.79E-01 162.5825 1948.0003 79.3419 947.577122 -1.44E-05 2.74E-01 162.2752 2110.2755 78.8767 1026.453822 -2.19E-05 4.51E-01 162.4539 2272.7294 79.1472 1105.601122 -2.32E-05 4.97E-01 162.4996 2435.2290 79.2163 1184.817422 -1.67E-05 3.68E-01 162.3707 2597.5997 79.0212 1263.838622 -3.56E-05 8.26E-01 162.8314 2760.4310 79.7186 1343.557222 -5.21E-05 1.18E+00 163.1878 2923.6189 80.2581 1423.815322 -2.97E-05 6.32E-01 162.6369 3086.2558 79.4243 1503.239622 -7.14E-06 1.56E-01 162.1567 3248.4126 78.6974 1581.937022 -4.79E-05 1.13E+00 163.1378 3411.5504 80.1824 1662.119322 -8.01E-05 1.82E+00 163.8396 3575.3899 81.2445 1743.363922 -4.61E-05 9.63E-01 162.9722 3738.3621 79.9317 1823.295622 -2.78E-05 5.82E-01 162.5878 3900.9499 79.3498 1902.645522 -1.76E-05 2.52E-01 162.2538 1623.3804 78.8443 789.718522 -2.28E-05 3.89E-01 162.3913 1785.5742 79.0524 868.4720
Ui Pj+∆Pj
(KWatt)Pj
(KWatt)Qj+∆Qj
(KVAR)Qj
(KVAR)∆P2 - ∆P1
22 -5.69E-05 1.07E+00 163.0818 1948.4996 80.0976 948.332922 -1.62E-05 3.58E-01 162.3597 2597.5887 79.0046 1263.822022 -1.91E-05 4.44E-01 162.4467 2760.0464 79.1364 1342.975022 -1.57E-05 3.57E-01 162.3589 2922.7899 79.0034 1422.560522 -1.97E-05 4.72E-01 162.4751 3085.2650 79.1793 1501.739922 -9.62E-05 2.27E+00 164.2850 3412.6976 81.9188 1663.855822 -5.54E-05 1.26E+00 163.2723 3574.8227 80.3860 1742.505322 -1.14E-04 2.46E+00 164.4899 4065.4398 82.2289 1984.874422 -2.10E-05 3.38E-01 162.3398 1785.7202 78.9745 868.693022 -1.07E-05 1.93E-01 162.1941 1947.7683 78.7539 947.225922 -9.07E-06 1.83E-01 162.1837 2109.9520 78.7383 1025.964222 -1.72E-05 3.99E-01 162.4016 2759.9903 79.0680 1342.890022 -3.74E-05 8.93E-01 162.8989 3085.6887 79.8207 1502.381222 -8.94E-05 1.82E+00 163.8359 3576.5335 81.2390 1745.0949
Tercera IteraccionSj
Si (Kva) (KVA)
180.0090 0.0058 0.0087 162.0058 78.4689 180.0090 1.1008
360.0162 0.0046 0.0069 324.0104 156.9360 360.0162 0.4371
540.0328 0.0107 0.0162 486.0210 235.4124 540.0328 0.6786
720.2206 0.1204 0.1823 648.1414 314.0548 720.2206 5.7376901.1916 0.6224 0.9420 810.7638 393.4570 901.1916 23.7084
1081.3531 0.1035 0.1567 972.8673 472.0739 1081.3531 3.28731261.5356 0.1169 0.1770 1134.9843 550.7111 1261.5356 3.18211442.7241 0.7617 1.1529 1297.7459 630.3241 1442.7242 18.12791624.8795 1.3808 2.0900 1461.1267 710.8743 1624.8795 29.19091804.9671 0.0563 0.0852 1623.1830 789.4196 1804.9671 1.07141985.3335 0.2348 0.3554 1785.4178 868.2352 1985.3335 4.06282166.2428 0.5825 0.8817 1948.0003 947.5771 2166.2428 9.23722346.6722 0.2752 0.4166 2110.2755 1026.4539 2346.6722 4.02832527.3806 0.4539 0.6871 2272.7295 1105.6011 2527.3807 6.16942708.1604 0.4996 0.7562 2435.2290 1184.8174 2708.1604 6.33672888.7388 0.3707 0.5611 2597.5997 1263.8386 2888.7388 4.40793070.0367 0.8314 1.2584 2760.4311 1343.5572 3070.0367 9.30363251.8913 1.1879 1.7980 2923.6189 1423.8154 3251.8914 12.55113432.8857 0.6370 0.9641 3086.2559 1503.2396 3432.8857 6.37553613.1301 0.1567 0.2373 3248.4126 1581.9370 3613.1301 1.49063794.9067 1.1378 1.7223 3411.5504 1662.1194 3794.9067 10.30303977.7796 1.8397 2.7845 3575.3900 1743.3641 3977.7798 15.89504159.2978 0.9723 1.4716 3738.3622 1823.2957 4159.2979 8.03454340.2154 0.5878 0.8897 3900.9499 1902.6455 4340.2155 4.65501805.2754 0.2538 0.3841 1623.3804 789.7185 1805.2754 4.82851985.5777 0.3913 0.5922 1785.5742 868.4720 1985.5778 6.7687
∆Pj (KWatt)
∆Qj (Kvar)
Pi (KWatt)
Qi (Kvar)
∆Uij (KU)
2167.0224 1.0819 1.6375 1948.4997 948.3329 2167.0224 17.15072888.7217 0.3597 0.5445 2597.5887 1263.8220 2888.7217 4.27763069.4361 0.4468 0.6762 2760.0464 1342.9750 3069.4361 4.99993250.5968 0.3589 0.5432 2922.7899 1422.5605 3250.5968 3.79283431.3384 0.4751 0.7192 3085.2650 1501.7399 3431.3384 4.75723796.6987 2.2852 3.4589 3412.6977 1663.8560 3796.6989 20.68553976.8935 1.2724 1.9259 3574.8228 1742.5054 3976.8936 10.99534524.1051 2.4901 3.7690 4065.4400 1984.8747 4524.1054 18.92241985.8057 0.3398 0.5143 1785.7202 868.6930 1985.8057 5.87792165.8805 0.1941 0.2937 1947.7683 947.2259 2165.8805 3.07762346.1671 0.1837 0.2781 2109.9520 1025.9642 2346.1671 2.68993069.3484 0.4016 0.6078 2759.9903 1342.8900 3069.3484 4.49433432.0001 0.8989 1.3606 3085.6888 1502.3813 3432.0001 8.99863979.5663 1.8360 2.7791 3576.5336 1745.0951 3979.5665 15.8591
Tercera IteraccionDiferencias
(KU) Uj2-Uj1
0.0050 0.0050 21.9989 22 0.00E+00 5.78E-11
0.0020 0.0070 21.9996 22 -1.48E-12 3.93E-11
0.0031 0.0101 21.9993 22 -2.63E-12 1.41E-10
0.0261 0.0362 21.9943 22 -3.91E-11 3.96E-080.1078 0.1439 21.9763 22 -4.42E-09 3.70E-060.0149 0.1589 21.9967 22 -1.10E-08 5.90E-070.0145 0.1733 21.9968 22 -1.05E-08 6.54E-070.0824 0.2557 21.9819 22 -6.01E-08 8.45E-060.1327 0.3884 21.9708 22 -1.95E-07 3.55E-050.0049 0.3933 21.9989 22 -1.67E-08 1.33E-060.0185 0.4117 21.9959 22 -5.90E-08 5.52E-060.0420 0.4537 21.9908 22 -1.34E-07 1.53E-050.0183 0.4720 21.9960 22 -6.61E-08 7.26E-060.0280 0.5001 21.9938 22 -1.02E-07 1.26E-050.0288 0.5289 21.9937 22 -1.11E-07 1.47E-050.0200 0.5489 21.9956 22 -8.19E-08 1.11E-050.0423 0.5912 21.9907 22 -1.77E-07 2.80E-050.0571 0.6483 21.9874 22 -2.69E-07 4.76E-050.0290 0.6772 21.9936 22 -1.63E-07 2.69E-050.0068 0.6840 21.9985 22 -4.04E-08 6.45E-060.0468 0.7309 21.9897 22 -2.72E-07 5.29E-050.0723 0.8031 21.9841 22 -4.76E-07 1.05E-040.0365 0.8396 21.9920 22 -2.96E-07 5.97E-050.0212 0.8608 21.9953 22 -1.85E-07 3.69E-050.0219 0.4104 21.9952 22 -7.54E-08 6.52E-060.0308 0.4240 21.9932 22 -9.84E-08 9.76E-06
∆Uij (%)
∆Uj (KU)
∆Uj (KU)
Ui ∆P2 - ∆P1
0.0780 0.4897 21.9828 22 -2.50E-07 3.41E-050.0194 0.5483 21.9957 22 -7.95E-08 1.07E-050.0227 0.5717 21.9950 22 -9.51E-08 1.38E-050.0172 0.6085 21.9962 22 -8.14E-08 1.22E-050.0216 0.6301 21.9952 22 -1.03E-07 1.67E-050.0940 0.7780 21.9793 22 -5.48E-07 1.27E-040.0500 0.7808 21.9890 22 -3.29E-07 6.71E-050.0860 0.9468 21.9811 22 -7.69E-07 1.95E-040.0267 0.4371 21.9941 22 -9.27E-08 8.99E-060.0140 0.4380 21.9969 22 -4.75E-08 4.73E-060.0122 0.4503 21.9973 22 -4.09E-08 4.37E-060.0204 0.5688 21.9955 22 -8.52E-08 1.23E-050.0409 0.6494 21.9910 22 -1.96E-07 3.41E-050.0721 0.8501 21.9841 22 -5.68E-07 1.23E-04
SUBESTACIÓN DE TURI 08 (Sistema de Distribución Radial Simple)
Datos SE TURI69/22KV
32 MVA
SE 1 2 3 4 5 6 7 8
25
MATRIZ DE INCIDENCIA FSnij 1 2 3 4 5 6 7 8 9 10 11
1 1 1 1 1 1 1 1 1 1 1 12 0 1 1 1 1 1 1 1 1 1 13 0 0 1 1 1 1 1 1 1 1 14 0 0 0 1 1 1 1 1 1 1 15 0 0 0 0 1 1 1 1 1 1 16 0 0 0 0 0 1 1 1 1 1 17 0 0 0 0 0 0 1 1 1 1 18 0 0 0 0 0 0 0 1 1 1 19 0 0 0 0 0 0 0 0 1 1 1
10 0 0 0 0 0 0 0 0 0 1 111 0 0 0 0 0 0 0 0 0 0 112 0 0 0 0 0 0 0 0 0 0 013 0 0 0 0 0 0 0 0 0 0 014 0 0 0 0 0 0 0 0 0 0 015 0 0 0 0 0 0 0 0 0 0 016 0 0 0 0 0 0 0 0 0 0 017 0 0 0 0 0 0 0 0 0 0 018 0 0 0 0 0 0 0 0 0 0 019 0 0 0 0 0 0 0 0 0 0 020 0 0 0 0 0 0 0 0 0 0 021 0 0 0 0 0 0 0 0 0 0 022 0 0 0 0 0 0 0 0 0 0 023 0 0 0 0 0 0 0 0 0 0 024 0 0 0 0 0 0 0 0 0 0 025 0 0 0 0 0 0 0 0 0 0 026 0 0 0 0 0 0 0 0 0 0 027 0 0 0 0 0 0 0 0 0 0 028 0 0 0 0 0 0 0 0 0 0 029 0 0 0 0 0 0 0 0 0 0 030 0 0 0 0 0 0 0 0 0 0 031 0 0 0 0 0 0 0 0 0 0 032 0 0 0 0 0 0 0 0 0 0 033 0 0 0 0 0 0 0 0 0 0 034 0 0 0 0 0 0 0 0 0 0 035 0 0 0 0 0 0 0 0 0 0 036 0 0 0 0 0 0 0 0 0 0 037 0 0 0 0 0 0 0 0 0 0 038 0 0 0 0 0 0 0 0 0 0 0
39 0 0 0 0 0 0 0 0 0 0 040 0 0 0 0 0 0 0 0 0 0 0
MATRIZ TRANSPUESTA FSnij 1 2 3 4 5 6 7 8 9 10 11
1 1 0 0 0 0 0 0 0 0 0 02 1 1 0 0 0 0 0 0 0 0 03 1 1 1 0 0 0 0 0 0 0 04 1 1 1 1 0 0 0 0 0 0 05 1 1 1 1 1 0 0 0 0 0 06 1 1 1 1 1 1 0 0 0 0 07 1 1 1 1 1 1 1 0 0 0 08 1 1 1 1 1 1 1 1 0 0 09 1 1 1 1 1 1 1 1 1 0 0
10 1 1 1 1 1 1 1 1 1 1 011 1 1 1 1 1 1 1 1 1 1 112 1 1 1 1 1 1 1 1 1 1 113 1 1 1 1 1 1 1 1 1 1 114 1 1 1 1 1 1 1 1 1 1 115 1 1 1 1 1 1 1 1 1 1 116 1 1 1 1 1 1 1 1 1 1 117 1 1 1 1 1 1 1 1 1 1 118 1 1 1 1 1 1 1 1 1 1 119 1 1 1 1 1 1 1 1 1 1 120 1 1 1 1 1 1 1 1 1 1 121 1 1 1 1 1 1 1 1 1 1 122 1 1 1 1 1 1 1 1 1 1 123 1 1 1 1 1 1 1 1 1 1 124 1 1 1 1 1 1 1 1 1 1 125 1 1 1 1 1 1 1 1 1 0 026 1 1 1 1 1 1 1 1 1 1 027 1 1 1 1 1 1 1 1 1 1 128 1 1 1 1 1 1 1 1 1 1 129 1 1 1 1 1 1 1 1 1 1 130 1 1 1 1 1 1 1 1 1 1 131 1 1 1 1 1 1 1 1 1 1 132 1 1 1 1 1 1 1 1 1 1 133 1 1 1 1 1 1 1 1 1 1 134 1 1 1 1 1 1 1 1 1 1 135 1 1 1 1 1 1 1 1 1 0 036 1 1 1 1 1 1 1 1 1 1 037 1 1 1 1 1 1 1 1 1 1 038 1 1 1 1 1 1 1 1 1 1 139 1 1 1 1 1 1 1 1 1 1 140 1 1 1 1 1 1 1 1 1 1 1
UNIVERSIDAD POLITECNICA SALESIANANombres: Sinchi, Uguña, Peñalosa, CárdenasMateria: Sistemas Electricos De Potencia 2
FLUJOS DE POTENCIA 40 BARRAS
SUBESTACIÓN DE TURI 08 (Sistema de Distribución Radial Simple)
31
36 37
26 30
9 10 11 12 13 14 15 16 17 18 19
27
29
28
35
38
MATRIZ DE INCIDENCIA FS12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 10 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 10 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 10 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 10 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
MATRIZ TRANSPUESTA FS12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 01 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 01 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 11 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 01 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 01 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 01 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1
UNIVERSIDAD POLITECNICA SALESIANANombres: Sinchi, Uguña, Peñalosa, Cárdenas [Ω/Km]
Materia: Sistemas Electricos De Potencia 2 Z0
FLUJOS DE POTENCIA 40 BARRAS Z1
Z2
SUBESTACIÓN DE TURI 08 (Sistema de Distribución Radial Simple) Datos del Sistemani nj
0 1
1 2
2 33 4
4 55 6
39 6 77 88 9
33 9 1010 1111 12
12 13
13 1420 21 22 23 24 14 15
15 1616 17
32 34 17 1818 19
19 20
20 2121 22
40 22 2323 249 25
10 2611 2715 2816 2917 30
MATRIZ DE INCIDENCIA FS 30 3133 34 35 36 37 38 39 40 20 32
1 1 1 1 1 1 1 1 21 331 1 1 1 1 1 1 1 24 341 1 1 1 1 1 1 1 25 351 1 1 1 1 1 1 1 26 361 1 1 1 1 1 1 1 36 371 1 1 1 1 1 1 1 28 381 1 1 1 1 1 1 1 30 391 1 1 1 1 1 1 1 32 401 1 1 1 1 1 1 11 1 0 1 1 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 1 1 11 1 0 0 0 0 1 11 1 0 0 0 0 1 11 1 0 0 0 0 0 11 1 0 0 0 0 0 11 1 0 0 0 0 0 11 1 0 0 0 0 0 00 1 0 0 0 0 0 00 1 0 0 0 0 0 00 1 0 0 0 0 0 00 0 1 0 0 0 0 00 0 0 1 1 0 0 00 0 0 0 0 0 0 00 0 0 0 0 1 0 00 0 0 0 0 0 0 00 0 0 0 0 0 1 00 0 0 0 0 0 0 00 0 0 0 0 0 0 11 0 0 0 0 0 0 00 1 0 0 0 0 0 00 0 1 0 0 0 0 00 0 0 1 1 0 0 00 0 0 0 1 0 0 00 0 0 0 0 1 0 0
0 0 0 0 0 0 1 00 0 0 0 0 0 0 1
MATRIZ TRANSPUESTA FS33 34 35 36 37 38 39 40
0 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 01 0 0 0 0 0 0 00 1 0 0 0 0 0 00 0 1 0 0 0 0 00 0 0 1 0 0 0 00 0 0 1 1 0 0 00 0 0 0 0 1 0 00 0 0 0 0 0 1 00 0 0 0 0 0 0 1
Elegir el Nodo Aquí:Nodo 34
Real Imaginario Real Imaginario
0.6840992 1.42342457 Z0 [Ω] 3.35120291 6.97294233
0.3364279 0.50922129 Z1 [Ω] 1.64806221 2.49452675
0.3364279 0.50922129 Z2 [Ω] 1.64806221 2.49452675
Datos del Sistema Z0 [Ω] Z1 [Ω] Z2 [Ω]Lij (m) Li (Km) Real Imaginario Real Imaginario Real Imaginario
256.3786 0.2563786 0.17538841 0.3649356 0.08625291 0.13055344 0.08625291 0.13055344
50.8948 0.3072734 0.2102055 0.43738051 0.10337534 0.15647016 0.10337534 0.15647016
52.6783 0.3599517 0.24624269 0.51236409 0.12109779 0.18329507 0.12109779 0.18329507
333.9535 0.6939052 0.47470002 0.98772171 0.23344906 0.3533513 0.23344906 0.3533513
1102.4381.7963432 1.22887702 2.55695905 0.60433995 0.9147362 0.60433995 0.9147362
127.394 1.9237372 1.31602716 2.7382948 0.64719884 0.97960793 0.64719884 0.97960793105.7054 2.0294426 1.38834015 2.88875846 0.68276108 1.03343537 0.68276108 1.03343537526.4376 2.5558802 1.74847571 3.63810268 0.85986937 1.30150861 0.85986937 1.30150861
752.3803 3.3082605 2.2631785 4.70905929 1.11299109 1.68463667 1.11299109 1.68463667
24.8616 3.3331221 2.2801863 4.7444479 1.12135522 1.69729673 1.12135522 1.69729673
85.7136 3.4188357 2.33882291 4.86645474 1.15019167 1.74094392 1.15019167 1.74094392
178.593 3.5974287 2.46099825 5.12066841 1.21027533 1.83188728 1.21027533 1.83188728
71.8968 3.6693255 2.5101828 5.22300808 1.23446342 1.86849866 1.23446342 1.86849866
102.2348 3.7715603 2.58012154 5.3685316 1.26885806 1.92055879 1.26885806 1.92055879
97.9938 3.8695541 2.64715903 5.50801839 1.30182591 1.97045932 1.30182591 1.97045932
63.904 3.9334581 2.69087571 5.59898091 1.32332499 2.0030006 1.32332499 2.0030006
126.9048 4.0603629 2.77769118 5.77962032 1.36601931 2.06762323 1.36601931 2.06762323
161.6066 4.2219695 2.88824614 6.00965513 1.42038827 2.14991675 1.42038827 2.14991675
77.7598 4.2997293 2.94144156 6.12034034 1.44654884 2.18951369 1.44654884 2.18951369
17.274 4.3170033 2.95325869 6.14492857 1.4523603 2.19830998 1.4523603 2.19830998
113.6672 4.4306705 3.03101833 6.30672526 1.49060111 2.25619174 1.49060111 2.25619174
167.2665 4.597937 3.14544522 6.54481651 1.54687423 2.3413674 1.54687423 2.3413674
80.8541 4.6787911 3.20075745 6.65990622 1.5740758 2.38254003 1.5740758 2.38254003
44.8918 4.7236829 3.23146789 6.72380631 1.58917865 2.40539989 1.58917865 2.40539989
112.0198 3.4202803 2.33981116 4.86851102 1.15067767 1.74167954 1.15067767 1.74167954
142.7777 3.4758998 2.37786042 4.94768118 1.16938962 1.77000217 1.16938962 1.77000217
331.4316 3.7502673 2.56555502 5.33822263 1.2616945 1.90971594 1.2616945 1.9097159462.0158 3.9315699 2.68958399 5.5962932 1.32268975 2.00203909 1.32268975 2.0020390968.2194 4.0016775 2.73754455 5.69608608 1.3462759 2.03773937 1.3462759 2.03773937
48.8619 4.1092248 2.81111757 5.84917155 1.38245781 2.09250474 1.38245781 2.09250474
58.0566 4.1672814 2.85083405 5.93181074 1.40198967 2.1220684 1.40198967 2.1220684
228.0651 4.5450684 3.10927785 6.46956204 1.52908775 2.31444558 1.52908775 2.31444558115.7403 4.5464108 3.11019619 6.47147285 1.52953938 2.31512916 1.52953938 2.31512916175.0258 4.8987087 3.35120291 6.97294233 1.64806221 2.49452675 1.64806221 2.49452675123.9674 3.5442477 2.42461717 5.04496926 1.19238376 1.80480638 1.19238376 1.8048063859.5157 3.5354155 2.41857507 5.03239729 1.18941236 1.80030883 1.18941236 1.8003088348.0233 3.5834388 2.45142777 5.10075484 1.20556874 1.82476332 1.20556874 1.8247633261.3221 3.992892 2.73153439 5.68358059 1.34332022 2.03326561 1.34332022 2.03326561109.79 4.2190148 2.88622483 6.00544933 1.41939423 2.14841215 1.41939423 2.14841215
166.7877 4.7118561 3.22337719 6.70697175 1.58519979 2.39937743 1.58519979 2.39937743
Módulo Ángulo
Vf 22 0
Zf 0 0
NODO 34Cto Cto Simétrico
Módulo Ángulo
Ia [kA] 7.3584058 -56.548405
Ib [kA] 7.3584058 183.451595Ic[kA] 7.3584058 63.4515946
Cto Cto Asimétrico
Falla simple de línea a tierraMódulo Ángulo
Ia [kA] 4.8228363 -60.938903Ib [kA] 0 0Ic[kA] 0 0
Falla de línea a líneaMódulo Ángulo
Ia [kA] 0 0Ib [kA] 6.3725663 -146.54841Ic[kA] 6.3725663 33.4515946
Falla de doble línea a tierraMódulo Ángulo
Ia [kA] 0 0Ib [kA] 6.4203286 17.3739943Ic[kA] 6.8120582 48.5818059
RESULTADOS
DETERMINACIÓN DE LA MATRIZ DE SECUENCIA EN SISTEMAS DE MEDIA TENSIÓN
1 DATOS GENERALES
Resistividad del Terreno [Ro]: 150 [Ω/Km]
Conductor de Fase: Pigeon 3/0Conductor de Neutro: Raven 1/0
Sistema: TrifásicoAltura del Poste 12 [m]
Altura Conductor Fase: 10.300 [m]
Altura Conductor Neutro: 9.100 [m]
3.- TOPOLOGÍA ESTRUCTURAL DEL SISTEMA DE DISTRIBUCIÓN
Fase
Conductor Pigeon 3/0RMG 0.001463 [m]resistencia 0.3364 [Ω/km]
Disposición de conductores en ejes
Eje igual al eje del piso como YAltura F1: 10.300 [m]
Altura F2: 10.300 [m]Altura F3: 10.300 [m]Altura N: 9.100 [m]
Profundidad T: -1041.749 [m]
MATRIZ DE SECUENCIA |Zs|=|A|*Zbus*|A^-1|
Componentes del Sistema Trifásico (Diagonal Zs)
ZsZ0 [Ω/Km]Z1 [Ω/Km]
Z2 [Ω/Km]
Corrección: Aproximaciones de LewisjCXik
jCXik 1 21 0.295815300 0.2957777852 0.295777785 0.2958153003 0.295425548 0.2956289804 0.300196585 0.3003102635 0.000749613 0.000749674
DETERMINACIÓN DE LA MATRIZ DE SECUENCIA EN SISTEMAS DE MEDIA TENSIÓN
2 CONSTANTES
Frecuencia: 60 [Hz]
Pi: 3.14159 a:Constante: 0.0001 a2:
N: 0.07540L: 0.05922
De: 1041.749 [m]
3.- TOPOLOGÍA ESTRUCTURAL DEL SISTEMA DE DISTRIBUCIÓN
Neutro - Tierra
Conductor Raven 1/0RMG 0.00131227932 [m]resistencia 0.524 [Ω/km]
Disposición de conductores en ejes
Eje igual al eje del poste como XPosición F1: -1.050 [m]
Posición F2: -0.400 [m]Posición F3: 1.050 [m]Posición N: 0.150 [m]
Posición T: 0.600 [m]
MATRIZ DE SECUENCIA |Zs|=|A|*Zbus*|A^-1|
Componentes del Sistema Trifásico (Diagonal Zs)
Real Imaginario Módulo Ángulo (Gr)0.684099 1.423425 1.57928 64.33101507590.336428 0.509221 0.61032 56.5484053521
0.336428 0.509221 0.61032 56.5484053521
Corrección: Aproximaciones de LewisjCXik
3 4 5
0.295425548 0.300196585 0.0007496130.295628980 0.300310263 0.0007496740.295815300 0.300259502 0.0007497020.300259502 0.305154839 0.0006620340.000749702 0.000662034 -0.052261545
DETERMINACIÓN DE LA MATRIZ DE SECUENCIA EN SISTEMAS DE MEDIA TENSIÓN
2 CONSTANTES Xi [m] Yi [m]
F1 -1.050 10.300Real Imaginario F2 -0.400 10.300-0.5 0.866 F3 1.050 10.300-0.5 -0.866 N 0.150 9.100
T 0.600 -1041.749
-0.017361082589797 0.000<>
Dik 1 (F1) 2 (F2)
1 (F1) 0.00 0.652 (F2) 0.65 0.003 (F3) 2.10 1.454 (N) 1.70 1.325 (T) 1052.05 1052.05
Sik 1 (F1) 2 (F2)1 (F1) 20.6 20.61025230316212 (F2) 20.6102523031621 20.63 (F3) 20.7067621805052 20.65096850029074 (N) 19.4370779696949 19.407794825791
MATRIZ DE SECUENCIA |Zs|=|A|*Zbus*|A^-1| 5 (T) 1031.45044933359 1031.44961434404
jXik 1 21 0.720245847008905 0.2606193551179462 0.260619355117946 0.720245847008905
Dik (Distancia entre el conductor i y el conductor k en metros)
Sik (Distancia entre el conductor i y la imagen del conductor k en metros)
jXik (Reactanciamutua entre los conductores i y k en Ω/m)
3 0.172550567374624 0.2002726609187294 0.183842533553124 0.2026715071340345 -0.001491002086567 -0.00149100445347559
Rii 1 21 0.3364 02 0 0.33643 0 04 0 05 0 0
CRii = CRik 0.05922
jCXik 1 21 0.295815300 0.2957777852 0.295777785 0.2958153003 0.295425548 0.2956289804 0.300196585 0.3003102635 0.000749613 0.000749674
-0.341121284866864 -0.236582941199791-0.236582941199791 -0.341121284866864-0.236169612214215 -0.236310412048632-0.240966215831081 -0.2410501020755810.0584685403657744 0.0584684978435669
Estos valores fueron reemplazados por las fórmulas de LEWIS
A
A
Real Imaginario Real1 1 0 12 1 0 -0.53 1 0 -0.5
Rii (Resistencia eléctrica del conductor i en Ω/km)
CRii = CRik (Correcciones de Carson de primer orden)
jCXik (Correcciones de Carson de primer orden)
11111111 1 1 2222222 22 2
A^-1
A^-1Real Imaginario Real
1 0.333 0.000 0.3332 0.333 0.000 -0.1673 0.333 0.000 -0.167
11111111 1 1 2222222 22 2
REDUCCIÓN DE KRONIMAGEN
X'i [m] Y'i [m] Zik (Rectangular)
F1 -1.050 -10.300F2 -0.400 -10.300F3 1.050 -10.300 ZikN 0.150 -9.100 1T 0.600 1041.749 2
345
Z11
3 (F3) 4 (N) 5 (T) Z11
2.10 1.70 1052.051.45 1.32 1052.05 10.00 1.50 1052.05 21.50 0.00 1050.85 3
1052.05 1050.85 0.00
Z12
Z12
3 (F3) 4 (N) 5 (T) 120.7067621805052 19.4370779696949 1031.45044933359 220.6509685002907 19.407794825791 1031.44961434404 3
20.6 19.4208650682713 1031.4492277521319.4208650682713 18.2 1032.64922763806 Z211031.44922775213 1032.64922763806 2083.49825917854
Z21
12
3 4 50.172550567374624 0.183842533553124 -0.001491002086567 Z220.200272660918729 0.202671507134034 -0.001491004453476
(Distancia entre el conductor i y el conductor k en metros)
(Distancia entre el conductor i y la imagen del conductor k en metros)
(Reactanciamutua entre los conductores i y k en Ω/m)
0.720245847008905 0.193086021651946 -0.001491005549333 Z220.193086021651946 0.719103871282493 -0.001317286744972
-0.00149100554933293 -0.001317286744972 -1.04166495538783 12
DETERMINANTE
3 4 5 DET0 0 00 0 0 1
0.3364 0 0 20 0.524 00 0 0.524 (Z22)^-1
(Z22)^-1
12
Z12*((Z22)^-1*Z21)
((Z22)^-1*Z21)3 4 50.295425548 0.300196585 0.000749613 10.295628980 0.300310263 0.000749674 2
0.295815300 0.300259502 0.0007497020.300259502 0.305154839 0.000662034 Z12*((Z22)^-1*Z21)0.000749702 0.000662034 -0.052261545
1-0.236169612214215 -0.240966215831081 0.0584685403657744 2-0.236310412048632 -0.241050102075581 0.0584684978435669 3-0.341121284866864 -0.241032110731407 0.0584684468168546-0.241032110731407 -0.350460823756933 0.05855611330646550.0584684468168546 0.058556113306466 1.10088258179436
Estos valores fueron reemplazados por las fórmulas de LEWIS
A 123
Imaginario Real Imaginario0 1 0 Zs
-0.866 -0.5 0.8660.866 -0.5 -0.866 1
(Resistencia eléctrica del conductor i en Ω/km)
(Correcciones de Carson de primer orden)
(Correcciones de Carson de primer orden)
ZKRON
ZKRON
3333333 3 3 3
2A^-1 3
ZsImaginario Real Imaginario
0.000 0.333 0.000 10.289 -0.167 -0.289 2
-0.289 -0.167 0.289 3
3333333 3 3 3
REDUCCIÓN DE KRON
Zik (Rectangular)
1 2 3Real Imaginario Real Imaginario Real
0.39562 1.01606 0.05922 0.55640 0.059220.05922 0.55640 0.39562 1.01606 0.059220.05922 0.46798 0.05922 0.49590 0.395620.05922 0.48404 0.05922 0.50298 0.059220.05922 -0.00074 0.05922 -0.00074 0.05922
Z11
Real Imaginario Real Imaginario Real0.3956 1.0161 0.0592 0.5564 0.05920.0592 0.5564 0.3956 1.0161 0.05920.0592 0.4680 0.0592 0.4959 0.3956
Z12
Real Imaginario Real Imaginario0.0592 0.4840 0.0592 -0.00070.0592 0.5030 0.0592 -0.00070.0592 0.4933 0.0592 -0.0007
Z21
Real Imaginario Real Imaginario Real0.0592 0.4840 0.0592 0.5030 0.05920.0592 -0.0007 0.0592 -0.0007 0.0592
Z22
11111111 1 1 2222222 22 2 3333333 3 3 3
11111111 1 1 2222222 22 2
11111111 1 1 2222222 22 2 3333333 33 3
Real Imaginario Real Imaginario0.5832 1.0243 0.0592 -0.00070.0592 -0.0007 0.5832 -1.0939
DETERMINANTE
Real Imaginario1.461 -0.041 1 00.004 0.000 1.457 -0.041
(Z22)^-1
Real Imaginario Real Imaginario0.421 -0.739 -0.041 -0.001
-0.041 -0.001 0.380 0.714
Z12*((Z22)^-1*Z21)
((Z22)^-1*Z21)Real Imaginario Real Imaginario
1 0.380 0.160 0.394 0.1682 0.021 0.022 0.021 0.021
Z12*((Z22)^-1*Z21)Real Imaginario Real Imaginario
1 -0.054 0.195 -0.057 0.2022 -0.057 0.202 -0.060 0.2093 -0.055 0.198 -0.058 0.206
Real Imaginario Real Imaginario Real0.449 0.821 0.116 0.354 0.1140.116 0.354 0.455 0.807 0.1170.114 0.270 0.117 0.290 0.452
Real Imaginario Real Imaginario Real0.679 1.445 0.408 0.508 0.261
11111111 1 1 2222222 2 2 2
11111111 1 1
11111111 1 1 2222222 22 2
11111111 1 1 2222222 22 2
11111111 1 1 2222222 22 2
ZKRON
11111111 1 1 2222222 22 2 3333333 3 3 3
11111111 1 1 2222222 22 2 3333333 3 3 3
0.689 1.451 0.277 -0.487 -0.6180.684 1.374 -0.624 0.007 0.283
Real Imaginario Real Imaginario Real0.684 1.423 0.0200 0.0095 -0.0246
-0.0246 0.01226 0.336 0.509 -0.05110.0200 0.0095 0.0511 -0.0108 0.336
11111111 1 1 2222222 22 2 3333333 3 3 3
REDUCCIÓN DE KRON
Zik (Rectangular)
3 4 5Imaginario Real Imaginario Real Imaginario
0.46798 0.05922 0.48404 0.05922 -0.000740.49590 0.05922 0.50298 0.05922 -0.000741.01606 0.05922 0.49335 0.05922 -0.000740.49335 0.58322 1.02426 0.05922 -0.00066
-0.00074 0.05922 -0.00066 0.58322 -1.09393
Z11
Imaginario0.46800.49591.0161
Z21
Imaginario0.4933
-0.0007
Z22'
Z22'Real Imaginario Real Imaginario
1 0.583 -1.094 -0.059 0.0012 -0.059 0.001 0.583 1.024
DETERMINANTE
DET= 0.686 0.019
Z12*((Z22)^-1*Z21)
Real Imaginario0.387 0.1640.021 0.022
Real Imaginario-0.055 0.198-0.058 0.206-0.057 0.202
Imaginario0.2700.2900.814
Imaginario0.511
11111111 1 1 22222 22 22 2
3333333 33 3
3333333 3 3 3
0.099-0.572
Imaginario0.01226-0.0109
0.509
Nombre Formación
Turkey 6 1.68 1.68 6 + 1 5.04 53.7 105
Swan 4 2.12 2.12 6 + 1 6.36 85.5 140
Sparrow 2 2.68 2.68 6 + 1 8.04 136.6 184
Robin 1 3 3 6 + 1 8.99 171.2 212
Raven 1/0 3.37 3.37 6 + 1 10.11 216.1 242
Qual 2/0 3.78 3.78 6 + 1 11.34 271.8 276
Pigeon 3/0 4.25 4.25 6 + 1 12.75 343.6 315
Penguin 4/0 4.77 4.77 6 + 1 14.31 432.9 357
Waxwing 266.8 3.09 3.09 18 + 1 15.47 428.3 449
Partridge 266.8 2.57 2 26 + 7 16.28 540.7 457
Phoebe 300 3.28 3.28 18 + 1 16.4 482.6 492
Ostrich 300 2.73 2.12 26 + 7 17.27 609.3 492
Merlin 336.4 3.47 3.47 18 + 1 17.37 540.1 519
Linnet 336.4 2.89 2.12 26 + 7 17.92 659.6 529
Oriole 336.4 2.69 2.68 30 + 7 18.83 774.5 535
Chickadee 397.5 3.77 3.77 18 + 1 18.87 637.5 576
Brant 397.5 3.27 2.18 24 + 7 19.61 755.6 584
Pelican 477 4.13 4.13 18 + 1 20.65 765.1 646
Flicker 477 3.58 2.39 24 + 7 21.49 906.4 655
Hawk 477 3.44 2.68 26 + 7 21.79 969.1 659
Osprey 556.5 4.47 4.47 18 + 1 22.33 896.2 711
Parakeet 556.5 3.87 2.58 24 + 7 23.22 1058.4 721
Peacock 605 4.03 2.69 24 + 7 24.21 1148.5 760
Kingbird 636 4.78 4.78 18 + 1 23.88 1024.8 773
Rook 636 4.14 2.76 24 + 7 24.82 1211.2 784
Grosbeak 636 3.96 3.09 26 + 7 25.15 1286 789
Flamingo 666.6 4.23 2.82 24 + 7 25.4 1264.4 807
Stilt 715.5 4.39 2.92 24 + 7 26.31 1360.2 844
Starling 715.5 4.22 3.28 26 + 7 26.7 1456.8 849
Cuckoo 795 4.62 3.08 24 + 7 27.74 1508.4 901
Coot 795 3.77 3.77 36 + 1 26.42 1188.1 884
Tern 795 3.38 2.25 45 + 7 27 1323.1 887
Drake 795 4.44 3.45 26 + 7 28.14 1103.2 887
Rail 954 3.7 2.47 45 + 7 29.59 1326 984
Ortolan 1033.5 3.85 3.51 45 + 7 30.81 1970.5 1043
Curlew 1033.5 3.51 3.51 54 + 7 31.63 1966.8 1047
Calibre
(AWG O
Kcmil)
Diametro del
Hilo Al (mm)
Diametro del
Hilo Acero
(mm)
Diametro Cable
Desnudo (mm)
Peso Aprox, Kg/Hm
Amperaje (A)
RMG Nombre
2.1 0.654 Turkey
1.353 0.826 Swan
0.8499 1.044 Sparrow
0.6742 1.168 Robin
0.524 1.312 Raven
0.4242 1.472 Qual
0.336 1.463 Pigeon
0.2667 1.857 Penguin
0.211 1.203 Waxwing
0.208 1.001 Partridge
0.185 1.277 Phoebe
0.185 1.063 Ostrich
0.167 1.351 Merlin
0.165 1.125 Linnet
0.164 1.047 Oriole
0.141 1.468 Chickadee
0.141 1.273 Brant
0.118 1.608 Pelican
0.117 1.394 Flicker
0.177 1.340 Hawk
0.101 1.741 Osprey
0.1 1.507 Parakeet
0.0924 1.569 Peacock
0.0884 1.861 Kingbird
0.0879 1.612 Rook
0.0874 1.542 Grosbeak
0.0838 1.647 Flamingo
0.0777 1.709 Stilt
0.0772 1.643 Starling
0.0703 1.799 Cuckoo
0.0709 1.468 Coot
0.0695 1.316 Tern
0.07 1.729 Drake
0.0592 1.441 Rail
0.0546 1.499 Ortolan
0.0546 1.367 Curlew
Resistencia ohm/km
Datos Nodo 34Vbase(kV) 22 Real ImaginarioSbase(MVA) 32 Z0 [Ω] 3.3512029 6.9729423
15.125 Z1 [Ω] 1.6480622 2.4945268Ibase(kA) 1.4545455 Z2 [Ω] 1.6480622 2.4945268
Módulo ÁnguloZ0 [Ω] 7.73644 64.3310151Z1 [Ω] 2.98978 56.5484054Z2 [Ω] 2.98978 56.5484054
FALLAS SIMETRICASReal Imaginario Modulo Angulo
Vf 22 0 22 0Zf 0 0 0 0
Real Imaginario Modulo AnguloVa 240 0 240 0Vb -59.0107423 -220.231088 228 -105Vc -195.341333 163.91084 255 140
Vs=A^-1*Vp
V0 0.33333333 * -14.3520753 -56.3202479Real Imaginario Modulo Angulo
V0 -4.78402509 -18.773416 19.3733849 75.703607
V1 0.33333333 * 240 0 + 10.33333333 * 240 0 + 2280.33333333 * 240 0 + 220.2310880.33333333 * 699.852707 146.225879
Real Imaginario Modulo AnguloV1 233.284236 48.7419596 238.321869 11.8014929
V2 0.33333333 * 240 0 + 10.33333333 * 240 0 + 2280.33333333 * 240 0 + -161.2203460.33333333 * 34.4993686 -89.9056309
Real Imaginario Modulo AnguloV2 11.4997895 -29.9685436 32.099202 -69.0067599
Zbase(Ω)
Real Imaginario Modulo Angulo
Vs-4.78402509 -18.773416 19.3733849 75.703607233.284236 48.7419596 238.321869 11.801492911.4997895 -29.9685436 32.099202 -69.0067599
En los diagras del sistima primitivo de Z0 y Z2 no hay generación entonces:
I0 0I1 Vf/z1I1 0
Real Imaginario Modulo AnguloI1 4.05619089 -6.13949923 7.35840575 -56.5484054
Real Imaginario Modulo Angulo
Is0 0 0 0
4.05619089 -6.13949923 7.35840575 -56.54840540 0 0 0
Ip=A*IsReal Imaginario Modulo Angulo
I0 4.05619089 -6.13949923 7.35840575 -56.5484054
I1 0 0 + 1 240 *Real Imaginario Modulo Angulo
I1 -7.34505774 -0.44301474 7.35840575 183.451595
I2 0 0 + 1 120 *Real Imaginario Modulo Angulo
I2 3.28886685 6.58251396 7.35840575 63.4515946
Real Imaginario Modulo Angulo
Ip4.05619089 -6.13949923 7.35840575 -56.5484054
-7.34505774 -0.44301474 7.35840575 183.4515953.28886685 6.58251396 7.35840575 63.4515946
Real ImaginarioZ0 [p.u.] 0.2215671 0.461021Z1 [p.u.] 0.1089628 0.1649274Z2 [p.u.] 0.1089628 0.1649274
Módulo ÁnguloZ0 [pu] 0.51150 64.3310151Z1 [pu] 0.19767 56.5484054Z2 [pu] 0.19767 56.5484054
FALLAS SIMETRICASA= 1 1 1
1 1 240 11 1 120 1
A^-1= 1 11 1 1 1203 1 1 240
120 * 228 -105 + 1 240 *15 + 255 380
59.0107423 + 239.621618 87.2151365
240 * 228 -105 + 1 120 *135 + 255 260
161.220346 + -44.2802853 -251.125977
Io=0I2=0
7.35840575 -56.5484054 + 1 240 * 0 0
7.35840575 -56.5484054 + 1 120 * 7.35840575 0
FALLAS SIMETRICAS
120240
11 2401 120
255 140
255 140
Nodo
Z0 [Ω]Z1 [Ω]
Modulo Angulo Real Imaginario Z2 [Ω]Vf(Kv) 22 0 22 0Zf(Kv) 0 0 0 0
CORRIENTES DE CTO-CTO
FALLAS ASIMETRICAS
Linea - TierraCondiciones: Ib=Ic=0
Real Imaginario Modulo AnguloSuma Zs 6.64732734 11.9619958 13.6848933 60.9389029
I0=I1=I2 0.7808847 -1.40521732 1.60761209 -60.9389029Ia=3Io 2.3426541 -4.21565197 4.82283628 -60.9389029Ib 0 0 0 0Ic 0 0 0 0
Linea - Linea
condiciones Ia=0,Ib=-Ic I0=0;I2=-I1
Real Imaginario Modulo AnguloSuma Zs 3.29612443 4.98905351 5.9795561 56.5484054I1 2.02809544 -3.06974961 3.67920288 -56.5484054I2 -2.02809544 3.06974961 3.67920288 123.451595I0 0 0 0 0
1.06101E-16 -1.73205081 1.73205081 -90Ia 0 0 0 0Ib -5.3169623 -3.51276435 6.37256631 -146.548405Ic 5.3169623 3.51276435 6.37256631 33.4515946
Linea - Linea - Tierracondiciones Ia=0
Real Imaginario Modulo AnguloSuma Z2 Z0 3 4.99926513 9.46746909 10.7063356 62.1638569Suma Z0 3Zf 3.35120291 6.97294233 7.73643883 64.3310151Z2(Z0 + 3Zf) -11.8712003 19.8515081 23.130235 120.87942Z2(Z0 + 3Zf)/( 1.12188059 1.84629901 2.16042498 58.7155635Z1+Z2(Z0 + 3Z2.76994281 4.34082577 5.14930592 57.4574721I1 2.29824378 -3.60161799 4.27242046 -57.4574721I2(-)I1 -2.29824378 3.60161799 4.27242046 122.542528Z0 3Zf Z2 4.99926513 9.46746909 10.7063356 62.1638569
0.72208696 0.02732528 0.7226038 2.16715813I2 -1.7579471 2.53788124 3.08726727 124.709686
I00.27791304 -0.02732528 0.27925316 -5.61545159
I0 -0.54029668 1.06373675 1.19308691 116.927076
Io+I1+I2=0 0 0
Ip=A*IsA 1 1 1
1 -0.5 -0.866 -0.5 0.8661 -0.5 0.866 -0.5 -0.866
A 1 1 11 1 240 1 120 * Is1 1 120 1 240
Ia 0 0Ib -0.54029668 1.06373675 + 1 240 *
-0.54029668 1.06373675 + 4.27242046 182.542528 +-0.54029668 1.06373675 + -4.26821456 -0.18952851 +Real Imaginario Modulo Angulo
Ib -6.12740732 -1.91715922 6.42032865 17.3739943
Ic -0.54029668 1.06373675 + 1 120 *-0.54029668 1.06373675 + 4.27242046 62.5425279 +-0.54029668 1.06373675 + 1.96997078 3.7911465 +Real Imaginario Modulo Angulo
Ic 4.50651727 5.10836948 6.81205818 17.3739943
Real Imaginario Modulo AnguloIa 0 0 0 0Ib -6.12740732 -1.91715922 6.42032865 17.3739943 InIc 4.50651727 5.10836948 6.81205818 48.5818059
34Real Imaginario Modulo Angulo
Z0 [Ω] 3.3512029 6.9729423 Z0 [Ω] 7.73643883 64.3310151Z1 [Ω] 1.6480622 2.4945268 Z1 [Ω] 2.98977805 56.5484054Z2 [Ω] 1.6480622 2.4945268 Z2 [Ω] 2.98977805 56.5484054
FALLAS ASIMETRICAS
Linea - Tierra
Linea - Linea
Linea - Linea - Tierra
Real Imaginario Modulo Angulo
Is-0.54029668 1.06373675 1.19308691 116.9270762.29824378 -3.60161799 4.27242046 -57.4574721-1.7579471 2.53788124 3.08726727 124.709686
Real Imaginario modulo Angulo-0.54029668 1.06373675 1.19308691 116.9270762.29824378 -3.60161799 4.27242046 -57.4574721-1.7579471 2.53788124 3.08726727 124.709686
4.27242046 -57.4574721 + 1 120 * 3.08726727 124.7096863.08726727 244.709686
-1.31889607 -2.79136747
4.27242046 -57.4574721 + 1 240 * 3.08726727 124.7096863.08726727 364.7096863.07684317 0.25348623
3.57926074
FALLAS ASIMETRICAS
TABLA DE CONDUCTORES ACSR
Nombre Formación RMG Nombre
Turkey 6 1.68 1.68 6 + 1 5.04 53.7 105 2.1 0.654 Turkey
Swan 4 2.12 2.12 6 + 1 6.36 85.5 140 1.353 0.826 Swan
Sparrow 2 2.68 2.68 6 + 1 8.04 136.6 184 0.8499 1.044 Sparrow
Robin 1 3 3 6 + 1 8.99 171.2 212 0.6742 1.168 Robin
Raven 1/0 3.37 3.37 6 + 1 10.11 216.1 242 0.524 1.312 Raven
Qual 2/0 3.78 3.78 6 + 1 11.34 271.8 276 0.4242 1.472 Qual
Pigeon 3/0 4.25 4.25 6 + 1 12.75 343.6 315 0.336 1.463 Pigeon
Penguin 4/0 4.77 4.77 6 + 1 14.31 432.9 357 0.2667 1.857 Penguin
Waxwing 266.8 3.09 3.09 18 + 1 15.47 428.3 449 0.211 1.203 Waxwing
Partridge 266.8 2.57 2 26 + 7 16.28 540.7 457 0.208 1.001 Partridge
Phoebe 300 3.28 3.28 18 + 1 16.4 482.6 492 0.185 1.277 Phoebe
Ostrich 300 2.73 2.12 26 + 7 17.27 609.3 492 0.185 1.063 Ostrich
Merlin 336.4 3.47 3.47 18 + 1 17.37 540.1 519 0.167 1.351 Merlin
Linnet 336.4 2.89 2.12 26 + 7 17.92 659.6 529 0.165 1.125 Linnet
Oriole 336.4 2.69 2.68 30 + 7 18.83 774.5 535 0.164 1.047 Oriole
Chickadee 397.5 3.77 3.77 18 + 1 18.87 637.5 576 0.141 1.468 Chickadee
Brant 397.5 3.27 2.18 24 + 7 19.61 755.6 584 0.141 1.273 Brant
Pelican 477 4.13 4.13 18 + 1 20.65 765.1 646 0.118 1.608 Pelican
Flicker 477 3.58 2.39 24 + 7 21.49 906.4 655 0.117 1.394 Flicker
Hawk 477 3.44 2.68 26 + 7 21.79 969.1 659 0.177 1.340 Hawk
Osprey 556.5 4.47 4.47 18 + 1 22.33 896.2 711 0.101 1.741 Osprey
Parakeet 556.5 3.87 2.58 24 + 7 23.22 1058.4 721 0.1 1.507 Parakeet
Peacock 605 4.03 2.69 24 + 7 24.21 1148.5 760 0.0924 1.569 Peacock
Kingbird 636 4.78 4.78 18 + 1 23.88 1024.8 773 0.0884 1.861 Kingbird
Rook 636 4.14 2.76 24 + 7 24.82 1211.2 784 0.0879 1.612 Rook
Grosbeak 636 3.96 3.09 26 + 7 25.15 1286 789 0.0874 1.542 Grosbeak
Flamingo 666.6 4.23 2.82 24 + 7 25.4 1264.4 807 0.0838 1.647 Flamingo
Stilt 715.5 4.39 2.92 24 + 7 26.31 1360.2 844 0.0777 1.709 Stilt
Starling 715.5 4.22 3.28 26 + 7 26.7 1456.8 849 0.0772 1.643 Starling
Cuckoo 795 4.62 3.08 24 + 7 27.74 1508.4 901 0.0703 1.799 Cuckoo
Coot 795 3.77 3.77 36 + 1 26.42 1188.1 884 0.0709 1.468 Coot
Tern 795 3.38 2.25 45 + 7 27 1323.1 887 0.0695 1.316 Tern
Drake 795 4.44 3.45 26 + 7 28.14 1103.2 887 0.07 1.729 Drake
Rail 954 3.7 2.47 45 + 7 29.59 1326 984 0.0592 1.441 Rail
Ortolan 1033.5 3.85 3.51 45 + 7 30.81 1970.5 1043 0.0546 1.499 Ortolan
Curlew 1033.5 3.51 3.51 54 + 7 31.63 1966.8 1047 0.0546 1.367 Curlew
Calibre
(AWG O
Kcmil)
Diametro
del Hilo Al
(mm)
Diametro
del Hilo
Acero (mm)
Diametro Cable
Desnudo (mm)
Peso Aprox, Kg/Hm
Amperaje (A)
Resistencia ohm/km