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MÉTODO DE HARDY CROSS PARA EL BALANECUACIÓN DE HAZEN-WILLIAMS
CHW 150para PVCN 1.851
Circuito Tramo D m! L m! a " m#$%!I 1-6 0.140 1000 14288.99 0.03
6-7 0.140 800 11431.19 0.021
7-2 0.140 500 7144.49 -0.005
2-1 0.140 800 11431.19 -0.02
II 2-7 0.140 500 7144.49 0.0117-8 0.140 500 7144.49 -0.009
8-3 0.140 500 7144.49 -0.015
3-2 0.140 500 7144.49 0.005
III 3-8 0.140 1000 14288.99 0.03
8-9 0.140 800 11431.19 0.021
9-4 0.140 500 7144.49 -0.005
4-3 0.140 800 11431.19 -0.02
IV 4-9 0.140 500 7144.49 0.011
9-10 0.140 500 7144.49 -0.009
10-5 0.140 500 7144.49 -0.015
5-4 0.140 500 7144.49 0.005
V 6-11 0.140 1000 14288.99 0.03
11-12 0.140 800 11431.19 0.021
12-7 0.140 500 7144.49 -0.005
7-6 0.140 800 11431.19 -0.02
VI 7-12 0.140 500 7144.49 0.011
12-13 0.140 500 7144.49 -0.009
13-8 0.140 500 7144.49 -0.015
8-7 0.140 500 7144.49 0.005
_ = _ /(0.279 _ _ ^2.6
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VII 8-13 0.140 1000 14288.99 0.03
13-14 0.140 800 11431.19 0.021
14-9 0.140 500 7144.49 -0.005
9-8 0.140 800 11431.19 -0.02
VIII 9-14 0.140 500 7144.49 0.011
14-15 0.140 500 7144.49 -0.009
15-10 0.140 500 7144.49 -0.015
10-9 0.140 500 7144.49 0.005
IX 11-16 0.140 1000 14288.99 0.03
16-17 0.140 800 11431.19 0.021
17-12 0.140 500 7144.49 -0.005
12-11 0.140 800 11431.19 -0.02
X 12-17 0.140 500 7144.49 0.011
17-18 0.140 500 7144.49 -0.009
18-13 0.140 500 7144.49 -0.015
13-12 0.140 500 7144.49 0.005
XI 13-18 0.140 1000 14288.99 0.03
18-19 0.140 800 11431.19 0.02119-14 0.140 500 7144.49 -0.005
14-13 0.140 800 11431.19 -0.02
XII 14-19 0.140 500 7144.49 0.011
19-20 0.140 500 7144.49 -0.009
20-15 0.140 500 7144.49 -0.015
15-14 0.140 500 7144.49 0.005
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E DE PÉRDIDAS
H m! a&'"'(N-) a&"&'"'(N-) Otro% Circuito%21.6847 722.8224 21.6847 -0.0073
8.9644 426.8743 8.9644 -0.0073 0.0073
-0.3933 78.6674 -0.3933 -0.0073 -0.0020
-8.1903 409.5132 -8.1903 -0.0073
22.0654 1637.8774 22.0654 -0.0291
1.6927 153.8851 1.6927 0.0020 0.0073-1.1675 129.7274 -1.1675 0.0020 -0.0020
-3.0055 200.3665 -3.0055 0.0020 0.0073
0.3933 78.6674 0.3933 0.0020
-2.0870 562.6464 -2.0870 0.0080
21.6847 722.8224 21.6847 -0.0073 -0.0020
8.9644 426.8743 8.9644 -0.0073 0.0073
-0.3933 78.6674 -0.3933 -0.0073 -0.0020
-8.1903 409.5132 -8.1903 -0.0073
22.0654 1637.8774 22.0654 -0.0291
1.6927 153.8851 1.6927 0.0020 0.0073
-1.1675 129.7274 -1.1675 0.0020 -0.0020
-3.0055 200.3665 -3.0055 0.0020
0.3933 78.6674 0.3933 0.0020
-2.0870 562.6464 -2.0870 0.0080
21.6847 722.8224 21.6847 -0.0073
8.9644 426.8743 8.9644 -0.0073 0.0073
-0.3933 78.6674 -0.3933 -0.0073 -0.0020
-8.1903 409.5132 -8.1903 -0.0073 0.0073
22.0654 1637.8774 22.0654 -0.0291
1.6927 153.8851 1.6927 0.0020 0.0073
-1.1675 129.7274 -1.1675 0.0020 -0.0020
-3.0055 200.3665 -3.0055 0.0020 0.0073
0.3933 78.6674 0.3933 0.0020 -0.0020
-2.0870 562.6464 -2.0870 0.0080
" m!
3 )^ =−Δ (∑_1^ ▒( _ | _ |^( −1 )
_ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
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21.6847 722.8224 21.6847 -0.0073 -0.0020
8.9644 426.8743 8.9644 -0.0073 0.0073
-0.3933 78.6674 -0.3933 -0.0073 -0.0020
-8.1903 409.5132 -8.1903 -0.0073 0.0073
22.0654 1637.8774 22.0654 -0.0291
1.6927 153.8851 1.6927 0.0020 0.0073
-1.1675 129.7274 -1.1675 0.0020 -0.0020
-3.0055 200.3665 -3.0055 0.0020
0.3933 78.6674 0.3933 0.0020 -0.0020
-2.0870 562.6464 -2.0870 0.0080
21.6847 722.8224 21.6847 -0.0073
8.9644 426.8743 8.9644 -0.0073
-0.3933 78.6674 -0.3933 -0.0073 -0.0020
-8.1903 409.5132 -8.1903 -0.0073 0.007322.0654 1637.8774 22.0654 -0.0291
1.6927 153.8851 1.6927 0.0020 0.0073
-1.1675 129.7274 -1.1675 0.0020
-3.0055 200.3665 -3.0055 0.0020 0.0073
0.3933 78.6674 0.3933 0.0020 -0.0020
-2.0870 562.6464 -2.0870 0.0080
21.6847 722.8224 21.6847 -0.0073 -0.0020
8.9644 426.8743 8.9644 -0.0073-0.3933 78.6674 -0.3933 -0.0073 -0.0020
-8.1903 409.5132 -8.1903 -0.0073 0.0073
22.0654 1637.8774 22.0654 -0.0291
1.6927 153.8851 1.6927 0.0020 0.0073
-1.1675 129.7274 -1.1675 0.0020
-3.0055 200.3665 -3.0055 0.0020
0.3933 78.6674 0.3933 0.0020 -0.0020
-2.0870 562.6464 -2.0870 0.0080
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1
" m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0227 12.9651 570.6030 12.9651 -0.0015
0.0210 8.9644 426.8743 8.9644 -0.0015
-0.0143 -2.7447 192.1762 -2.7447 -0.0015
-0.0273 -14.5474 533.2989 -14.5474 -0.0015
4.6374 1722.9524 4.6374 -0.0058
0.0203 5.2534 259.0148 5.2534 -0.0040-0.0090 -1.1675 129.7274 -1.1675 -0.0040
-0.0057 -0.5042 88.1819 -0.5042 -0.0040
0.0070 0.7340 104.7986 0.7340 -0.0040
4.3156 581.7227 4.3156 -0.0160
0.0207 10.9284 527.4868 10.9284 -0.0008
0.0210 8.9644 426.8743 8.9644 -0.0008
-0.0143 -2.7447 192.1762 -2.7447 -0.0008
-0.0273 -14.5474 533.2989 -14.5474 -0.0008
2.6007 1679.8362 2.6007 -0.0033
0.0203 5.2534 259.0148 5.2534 -0.0020
-0.0090 -1.1675 129.7274 -1.1675 -0.0020
-0.0130 -2.3048 177.3481 -2.3048 -0.0020
0.0070 0.7340 104.7986 0.7340 -0.0020
2.5150 670.8889 2.5150 -0.0081
0.0227 12.9651 570.6030 12.9651 -0.0037
0.0210 8.9644 426.8743 8.9644 -0.0037
-0.0143 -2.7447 192.1762 -2.7447 -0.0037
-0.0200 -8.1903 409.5132 -8.1903 -0.0037
10.9945 1599.1667 10.9945 -0.0149
0.0203 5.2534 259.0148 5.2534 -0.0039
-0.0090 -1.1675 129.7274 -1.1675 -0.0039
-0.0057 -0.5042 88.1819 -0.5042 -0.0039
0.0050 0.3933 78.6674 0.3933 -0.0039
3.9749 555.5916 3.9749 -0.0155
" m!
_ = _ _ ̂
=−Δ (∑_1^ ▒( _ | _ | _ ) )/( ∑_1^ ▒( _ | _ ^( −1 ) ) )
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0.0207 10.9284 527.4868 10.9284 -0.0031
0.0210 8.9644 426.8743 8.9644 -0.0031
-0.0143 -2.7447 192.1762 -2.7447 -0.0031
-0.0200 -8.1903 409.5132 -8.1903 -0.0031
8.9578 1556.0505 8.9578 -0.0124
0.0203 5.2534 259.0148 5.2534 -0.0018
-0.0090 -1.1675 129.7274 -1.1675 -0.0018
-0.0130 -2.3048 177.3481 -2.3048 -0.0018
0.0050 0.3933 78.6674 0.3933 -0.0018
2.1743 644.7577 2.1743 -0.0073
0.0227 12.9651 570.6030 12.9651 -0.0022
0.0137 4.0779 297.1857 4.0779 -0.0022
-0.0143 -2.7447 192.1762 -2.7447 -0.0022
-0.0200 -8.1903 409.5132 -8.1903 -0.00226.1081 1469.4781 6.1081 -0.0090
0.0203 5.2534 259.0148 5.2534 -0.0045
-0.0070 -0.7325 104.6994 -0.7325 -0.0045
-0.0057 -0.5042 88.1819 -0.5042 -0.0045
0.0050 0.3933 78.6674 0.3933 -0.0045
4.4100 530.5636 4.4100 -0.0180
0.0207 10.9284 527.4868 10.9284 -0.0015
0.0137 4.0779 297.1857 4.0779 -0.0015-0.0143 -2.7447 192.1762 -2.7447 -0.0015
-0.0200 -8.1903 409.5132 -8.1903 -0.0015
4.0714 1426.3619 4.0714 -0.0062
0.0203 5.2534 259.0148 5.2534 -0.0023
-0.0070 -0.7325 104.6994 -0.7325 -0.0023
-0.0130 -2.3048 177.3481 -2.3048 -0.0023
0.0050 0.3933 78.6674 0.3933 -0.0023
2.6094 619.7297 2.6094 -0.0091
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2
Otro% Circuito% " m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0213 11.4713 539.3760 11.4713
0.0037 0.0233 10.8316 465.6714 10.8316
0.0040 -0.0117 -1.9060 162.5136 -1.9060
-0.0287 -16.0153 557.3970 -16.0153
4.3816 1724.9580 4.3816
0.0015 0.0177 4.0950 230.9865 4.09500.0039 -0.0091 -1.2021 131.4764 -1.2021
0.0008 -0.0089 -1.1411 128.3698 -1.1411
0.0030 0.1524 50.8751 0.1524
1.9042 541.7078 1.9042
0.0040 0.0239 14.2253 595.4625 14.2253
0.0031 0.0233 10.8432 465.9012 10.8432
0.0020 -0.0131 -2.3368 178.4756 -2.3368
-0.0281 -15.3838 547.1829 -15.3838
7.3478 1787.0222 7.3478
0.0008 0.0191 4.6976 246.0369 4.6976
0.0018 -0.0092 -1.2168 132.2178 -1.2168
-0.0150 -3.0134 200.6092 -3.0134
0.0050 0.3902 78.3814 0.3902
0.8576 657.2453 0.8576
0.0190 9.3173 490.1922 9.3173
0.0022 0.0195 7.8385 401.3322 7.8385
0.0039 -0.0141 -2.6913 190.4472 -2.6913
0.0015 -0.0223 -9.9855 448.5788 -9.9855
4.4792 1530.5505 4.4792
0.0037 0.0201 5.1813 257.3743 5.1813
0.0045 -0.0084 -1.0218 122.0160 -1.0218
0.0031 -0.0065 -0.6343 97.9989 -0.6343
0.0040 0.0051 0.4144 80.5747 0.4144
3.9394 557.9638 3.9394
( −1 )|
=−Δ (∑_1^ ▒( _ ) )/( ∑_1^^( −1 ) ) )
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0.0039 0.0215 11.6771 543.8032 11.6771
0.0015 0.0194 7.7649 399.5946 7.7649
0.0018 -0.0156 -3.2204 206.8314 -3.2204
0.0008 -0.0223 -9.9967 448.8102 -9.9967
6.2249 1599.0393 6.2249
0.0031 0.0216 5.8876 272.9501 5.8876
0.0023 -0.0085 -1.0611 124.1515 -1.0611
-0.0148 -2.9383 198.2956 -2.9383
0.0020 0.0052 0.4235 81.3822 0.4235
2.3116 676.7793 2.3116
0.0205 10.6936 522.2447 10.6936
0.0115 2.9294 255.2576 2.9294
0.0045 -0.0120 -2.0000 166.1496 -2.0000
0.0037 -0.0185 -7.1119 383.7777 -7.11194.5111 1327.4296 4.5111
0.0022 0.0180 4.2281 234.4077 4.2281
-0.0115 -1.8339 159.6594 -1.8339
0.0015 -0.0087 -1.0887 125.6228 -1.0887
0.0039 0.0044 0.3072 70.2127 0.3072
1.6126 589.9027 1.6126
0.0045 0.0237 13.9803 590.7267 13.9803
0.0122 3.2704 268.5149 3.27040.0023 -0.0135 -2.4898 183.7541 -2.4898
0.0031 -0.0184 -7.0415 382.0264 -7.0415
7.7195 1425.0222 7.7195
0.0015 0.0195 4.9075 251.0309 4.9075
-0.0093 -1.2334 133.0422 -1.2334
-0.0153 -3.1067 203.4410 -3.1067
0.0018 0.0045 0.3300 72.5619 0.3300
0.8973 660.0759 0.8973
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3
Otro% Circuito% " m#$%! H m! a&'"'(N-)-0.0014 0.0199 10.1389 509.6124
-0.0014 0.0016 0.0235 11.0122 469.2254
-0.0014 0.0019 -0.0112 -1.7506 156.2805
-0.0014 -0.0301 -17.4599 579.9732
-0.0055 1.9407 1715.0915
-0.0019 0.0014 0.0172 3.8726 225.1323-0.0019 0.0038 -0.0072 -0.7780 107.6388
-0.0019 0.0022 -0.0086 -1.0657 124.3983
-0.0019 0.0011 0.0237 21.6345
-0.0076 2.0526 478.8039
-0.0022 0.0019 0.0236 13.8721 588.6193
-0.0022 0.0021 0.0232 10.7415 463.8860
-0.0022 0.0007 -0.0146 -2.8623 195.9210
-0.0022 -0.0303 -17.7091 583.7646
-0.0089 4.0421 1832.1909
-0.0007 0.0022 0.0206 5.4115 262.5707
-0.0007 0.0018 -0.0081 -0.9526 118.1414
-0.0007 -0.0157 -3.2804 208.5934
-0.0007 0.0043 0.2942 68.8313
-0.0028 1.4727 658.1368
-0.0016 0.0174 7.9338 455.2713
-0.0016 0.0018 0.0198 8.0290 405.7854
-0.0016 0.0038 -0.0119 -1.9573 164.5117
-0.0016 0.0014 -0.0225 -10.1595 452.1561
-0.0063 3.8459 1477.7245
-0.0038 0.0016 0.0179 4.1678 232.8660
-0.0038 0.0015 -0.0107 -1.6117 150.4519
-0.0038 0.0021 -0.0082 -0.9792 119.6506
-0.0038 0.0019 0.0032 0.1749 54.2018
-0.0153 1.7518 557.1702
" m!
_ | _ |^( −1 ) ▒( _ | _ |
=Δ _ )^(
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-0.0021 0.0038 0.0232 13.4578 580.4705
-0.0021 0.0029 0.0203 8.3849 413.9599
-0.0021 0.0018 -0.0158 -3.3198 209.7429
-0.0021 0.0022 -0.0222 -9.8986 446.7817
-0.0084 8.6242 1650.9549
-0.0018 0.0021 0.0218 6.0186 275.7245
-0.0018 0.0007 -0.0097 -1.3304 137.7557
-0.0018 -0.0167 -3.6513 219.1235
-0.0018 0.0007 0.0041 0.2679 65.9332
-0.0074 1.3047 698.5369
-0.0018 0.0186 8.9868 482.1201
-0.0018 0.0096 2.1215 220.0642
-0.0018 0.0015 -0.0124 -2.1118 170.3584
-0.0018 0.0016 -0.0188 -7.2940 388.2657-0.0073 1.7024 1260.8084
-0.0015 0.0018 0.0184 4.3852 238.3733
-0.0015 -0.0130 -2.2941 176.9689
-0.0015 0.0029 -0.0072 -0.7758 107.5009
-0.0015 0.0038 0.0067 0.6784 101.0725
-0.0059 1.9937 623.9155
-0.0029 0.0015 0.0222 12.4366 559.7884
-0.0029 0.0093 1.9665 212.5216-0.0029 0.0007 -0.0157 -3.2863 208.7661
-0.0029 0.0021 -0.0193 -7.6348 396.5028
-0.0117 3.4819 1377.5789
-0.0007 0.0029 0.0217 5.9744 274.7935
-0.0007 -0.0100 -1.4203 141.9601
-0.0007 -0.0160 -3.3889 211.7383
-0.0007 0.0018 0.0057 0.4945 87.3949
-0.0029 1.6596 715.8867
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4
a&"&'"'(N-) Otro% Circuito% " m#$%! H m!10.1389 -0.0006 0.0193 9.5698
11.0122 -0.0006 0.0014 0.0243 11.7124
-1.7506 -0.0006 0.0023 -0.0095 -1.2896
-17.4599 -0.0006 -0.0307 -18.1218
1.9407 -0.0024 1.8708
3.8726 -0.0023 0.0006 0.0155 3.1923-0.7780 -0.0023 0.0017 -0.0078 -0.9054
-1.0657 -0.0023 0.0012 -0.0097 -1.3390
0.0237 -0.0023 -0.0012 -0.0289
2.0526 -0.0093 0.9191
13.8721 -0.0012 0.0023 0.0247 15.1217
10.7415 -0.0012 0.0028 0.0248 12.1831
-2.8623 -0.0012 0.0012 -0.0146 -2.8562
-17.7091 -0.0012 -0.0315 -19.0185
4.0421 -0.0048 5.4302
5.4115 -0.0012 0.0012 0.0206 5.4032
-0.9526 -0.0012 0.0010 -0.0083 -0.9967
-3.2804 -0.0012 -0.0169 -3.7624
0.2942 -0.0012 0.0031 0.1590
1.4727 -0.0048 0.8031
7.9338 -0.0014 0.0160 6.7897
8.0290 -0.0014 0.0007 0.0191 7.5282
-1.9573 -0.0014 0.0017 -0.0116 -1.8692
-10.1595 -0.0014 0.0006 -0.0233 -10.8346
3.8459 -0.0056 1.6141
4.1678 -0.0017 0.0014 0.0176 4.0426
-1.6117 -0.0017 0.0017 -0.0107 -1.6040
-0.9792 -0.0017 0.0028 -0.0071 -0.7451
0.1749 -0.0017 0.0023 0.0038 0.2419
1.7518 -0.0068 1.9354
" m!
(∑_1^ ▒( _ | _ |^( −1 ))/( ∑_1^ ▒( _ | _ |1) ) )
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13.4578 -0.0028 0.0017 0.0221 12.2756
8.3849 -0.0028 0.0014 0.0188 7.3031
-3.3198 -0.0028 0.0010 -0.0176 -4.0579
-9.8986 -0.0028 0.0012 -0.0238 -11.2889
8.6242 -0.0113 4.2319
6.0186 -0.0010 0.0028 0.0236 6.9765
-1.3304 -0.0010 0.0013 -0.0094 -1.2690
-3.6513 -0.0010 -0.0177 -4.0711
0.2679 -0.0010 0.0012 0.0043 0.2928
1.3047 -0.0040 1.9291
8.9868 -0.0007 0.0179 8.3467
2.1215 -0.0007 0.0089 1.8339
-2.1118 -0.0007 0.0017 -0.0114 -1.8083
-7.2940 -0.0007 0.0014 -0.0181 -6.81531.7024 -0.0029 1.5571
4.3852 -0.0017 0.0007 0.0174 3.9555
-2.2941 -0.0017 -0.0147 -2.8915
-0.7758 -0.0017 0.0014 -0.0076 -0.8491
0.6784 -0.0017 0.0017 0.0067 0.6732
1.9937 -0.0069 0.8882
12.4366 -0.0014 0.0017 0.0226 12.8130
1.9665 -0.0014 0.0079 1.4633-3.2863 -0.0014 0.0013 -0.0159 -3.3301
-7.6348 -0.0014 0.0028 -0.0178 -6.6003
3.4819 -0.0055 4.3459
5.9744 -0.0013 0.0014 0.0219 6.0321
-1.4203 -0.0013 -0.0113 -1.7669
-3.3889 -0.0013 -0.0173 -3.8961
0.4945 -0.0013 0.0010 0.0054 0.4558
1.6596 -0.0050 0.8249
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5
a&'"'(N-) a&"&'"'(N-) Otro% Circuito% " m#$%!496.2558 9.5698 -0.0006 0.0187
482.7134 11.7124 -0.0006 0.0006 0.0243
135.7962 -1.2896 -0.0006 0.0010 -0.0091
589.9807 -18.1218 -0.0006 -0.0313
1704.7462 1.8708 -0.0024
205.9995 3.1923 -0.0010 0.0006 0.0151115.4159 -0.9054 -0.0010 0.0019 -0.0070
138.1602 -1.3390 -0.0010 0.0015 -0.0092
23.6709 -0.0289 -0.0010 -0.0022
483.2464 0.9191 -0.0041
612.4300 15.1217 -0.0015 0.0010 0.0242
491.5373 12.1831 -0.0015 0.0014 0.0246
195.7269 -2.8562 -0.0015 0.0007 -0.0155
603.2267 -19.0185 -0.0015 -0.0331
1902.9209 5.4302 -0.0062
262.3863 5.4032 -0.0007 0.0015 0.0215
120.6286 -0.9967 -0.0007 0.0014 -0.0075
222.1630 -3.7624 -0.0007 -0.0176
51.8682 0.1590 -0.0007 0.0024
657.0461 0.8031 -0.0026
423.8172 6.7897 -0.0006 0.0154
393.9470 7.5282 -0.0006 0.0007 0.0192
161.0626 -1.8692 -0.0006 0.0019 -0.0103
465.7304 -10.8346 -0.0006 0.0006 -0.0233
1444.5572 1.6141 -0.0024
229.6225 4.0426 -0.0019 0.0006 0.0163
150.1207 -1.6040 -0.0019 0.0008 -0.0118
105.5216 -0.7451 -0.0019 0.0014 -0.0076
62.9085 0.2419 -0.0019 0.0010 0.0030
548.1733 1.9354 -0.0076
" m!
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
20/160
556.4442 12.2756 -0.0014 0.0019 0.0226
388.4871 7.3031 -0.0014 0.0018 0.0192
230.0213 -4.0579 -0.0014 0.0014 -0.0176
474.6092 -11.2889 -0.0014 0.0015 -0.0236
1649.5618 4.2319 -0.0055
295.0972 6.9765 -0.0014 0.0014 0.0236
134.7956 -1.2690 -0.0014 0.0006 -0.0102
230.3658 -4.0711 -0.0014 -0.0191
68.6829 0.2928 -0.0014 0.0007 0.0035
728.9415 1.9291 -0.0057
466.0163 8.3467 -0.0007 0.0172
205.8108 1.8339 -0.0007 0.0082
158.6281 -1.8083 -0.0007 0.0008 -0.0113
376.3338 -6.8153 -0.0007 0.0006 -0.01821206.7889 1.5571 -0.0028
227.3356 3.9555 -0.0008 0.0007 0.0173
196.8348 -2.8915 -0.0008 -0.0154
112.0582 -0.8491 -0.0008 0.0018 -0.0066
100.7173 0.6732 -0.0008 0.0019 0.0078
636.9458 0.8882 -0.0030
567.5159 12.8130 -0.0018 0.0008 0.0216
185.5206 1.4633 -0.0018 0.0061210.0413 -3.3301 -0.0018 0.0006 -0.0170
370.8296 -6.6003 -0.0018 0.0014 -0.0182
1333.9075 4.3459 -0.0070
276.0090 6.0321 -0.0006 0.0018 0.0230
156.9482 -1.7669 -0.0006 -0.0119
225.7588 -3.8961 -0.0006 -0.0179
84.1849 0.4558 -0.0006 0.0014 0.0062
742.9010 0.8249 -0.0024
8/16/2019 3Método de Cross Para Redes Cerradas HW
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8/16/2019 3Método de Cross Para Redes Cerradas HW
22/160
H m! a&'"'(N-) a&"&'"'(N-) Otro% Circuito%9.0324 483.2420 9.0324 -0.0003
11.7220 482.8962 11.7220 -0.0003 0.0006
-1.1825 130.4891 -1.1825 -0.0003 0.0011
-18.7746 599.6579 -18.7746 -0.0003
0.7973 1696.2851 0.7973 -0.0010
3.0286 201.0725 3.0286 -0.0011 0.0003-0.7265 104.3024 -0.7265 -0.0011 0.0009
-1.2104 131.8973 -1.2104 -0.0011 0.0007
-0.0895 39.8228 -0.0895 -0.0011
1.0022 477.0950 1.0022 -0.0045
14.5440 601.5604 14.5440 -0.0007 0.0011
12.0418 488.9090 12.0418 -0.0007 0.0017
-3.1837 205.7421 -3.1837 -0.0007 0.0009
-20.7755 628.2385 -20.7755 -0.0007
2.6267 1924.4500 2.6267 -0.0029
5.8391 271.9126 5.8391 -0.0009 0.0007
-0.8318 111.0009 -0.8318 -0.0009 0.0007
-4.0384 229.5137 -4.0384 -0.0009
0.1014 42.1910 0.1014 -0.0009
1.0703 654.6182 1.0703 -0.0035
6.3238 410.1880 6.3238 -0.0006
7.5964 395.5848 7.5964 -0.0006 0.0003
-1.4992 145.5295 -1.4992 -0.0006 0.0009
-10.8439 465.9143 -10.8439 -0.0006 0.0003
1.5771 1417.2166 1.5771 -0.0024
3.5060 215.0690 3.5060 -0.0009 0.0006
-1.9393 163.8135 -1.9393 -0.0009 0.0008
-0.8501 112.1182 -0.8501 -0.0009 0.0017
0.1495 50.4263 0.1495 -0.0009 0.0011
0.8660 541.4271 0.8660 -0.0035
" m!
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
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23/160
12.8181 567.6180 12.8181 -0.0017 0.0009
7.5744 395.0574 7.5744 -0.0017 0.0008
-4.0393 229.5356 -4.0393 -0.0017 0.0007
-11.1525 471.9647 -11.1525 -0.0017 0.0007
5.2007 1664.1757 5.2007 -0.0068
6.9526 294.6322 6.9526 -0.0007 0.0017
-1.4838 144.8425 -1.4838 -0.0007 0.0008
-4.7017 246.1334 -4.7017 -0.0007
0.2026 57.9806 0.2026 -0.0007 0.0009
0.9697 743.5887 0.9697 -0.0028
7.7554 450.5365 7.7554 -0.0003
1.5773 192.0274 1.5773 -0.0003
-1.7918 157.9613 -1.7918 -0.0003 0.0008
-6.8805 377.9847 -6.8805 -0.0003 0.00060.6604 1178.5098 0.6604 -0.0012
3.9319 226.7096 3.9319 -0.0008 0.0003
-3.1719 205.3929 -3.1719 -0.0008
-0.6522 99.2554 -0.6522 -0.0008 0.0008
0.9041 115.3368 0.9041 -0.0008 0.0009
1.0119 646.6947 1.0119 -0.0034
11.7755 545.9068 11.7755 -0.0008 0.0008
0.9170 149.6470 0.9170 -0.0008-3.7952 223.0524 -3.7952 -0.0008 0.0008
-6.8594 377.4531 -6.8594 -0.0008 0.0017
2.0378 1296.0592 2.0378 -0.0034
6.6382 288.4303 6.6382 -0.0008 0.0008
-1.9451 164.0379 -1.9451 -0.0008
-4.1505 232.4202 -4.1505 -0.0008
0.5935 95.0462 0.5935 -0.0008 0.0007
1.1361 779.9345 1.1361 -0.0031
8/16/2019 3Método de Cross Para Redes Cerradas HW
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8/16/2019 3Método de Cross Para Redes Cerradas HW
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6
" m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0184 8.8065 477.6491 8.8065 -0.0003
0.0246 12.0343 488.7687 12.0343 -0.0003
-0.0082 -0.9786 119.6131 -0.9786 -0.0003
-0.0316 -19.0574 603.7945 -19.0574 -0.0003
0.8049 1689.8253 0.8049 -0.0010
0.0142 2.7089 191.0202 2.7089 -0.0005-0.0072 -0.7796 107.7425 -0.7796 -0.0005
-0.0096 -1.3093 136.7435 -1.3093 -0.0005
-0.0034 -0.1907 56.3960 -0.1907 -0.0005
0.4293 491.9022 0.4293 -0.0019
0.0246 14.9897 609.9666 14.9897 -0.0009
0.0256 12.9165 504.9272 12.9165 -0.0009
-0.0153 -3.1283 204.0898 -3.1283 -0.0009
-0.0338 -21.6411 640.1400 -21.6411 -0.0009
3.1368 1959.1236 3.1368 -0.0035
0.0213 5.7658 270.3393 5.7658 -0.0004
-0.0077 -0.8689 113.2510 -0.8689 -0.0004
-0.0185 -4.4217 239.2827 -4.4217 -0.0004
0.0015 0.0435 28.5762 0.0435 -0.0004
0.5187 651.4493 0.5187 -0.0017
0.0148 5.8749 396.5353 5.8749 -0.0003
0.0189 7.3793 390.3463 7.3793 -0.0003
-0.0100 -1.4291 142.3621 -1.4291 -0.0003
-0.0236 -11.1453 471.8235 -11.1453 -0.0003
0.6798 1401.0671 0.6798 -0.0010
0.0160 3.4020 212.1131 3.4020 -0.0010
-0.0119 -1.9450 164.0354 -1.9450 -0.0010
-0.0068 -0.6870 101.6595 -0.6870 -0.0010
0.0032 0.1758 54.3187 0.1758 -0.0010
0.9457 532.1267 0.9457 -0.0038
" m!
=−Δ (∑_1^ ▒( _ | _ | _ ) )/( ∑_1^ ▒( _ | _ ^( −1 ) ) )
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0.0218 11.9656 549.9402 11.9656 -0.0008
0.0183 6.9724 380.2993 6.9724 -0.0008
-0.0186 -4.4672 240.4117 -4.4672 -0.0008
-0.0246 -11.9975 488.0802 -11.9975 -0.0008
2.4734 1658.7314 2.4734 -0.0032
0.0246 7.4986 305.0538 7.4986 -0.0009
-0.0102 -1.4618 143.8495 -1.4618 -0.0009
-0.0198 -5.0276 253.8375 -5.0276 -0.0009
0.0037 0.2222 60.4967 0.2222 -0.0009
1.2314 763.2375 1.2314 -0.0035
0.0169 7.5048 443.7848 7.5048 -0.0003
0.0079 1.4713 185.9876 1.4713 -0.0003
-0.0108 -1.6364 151.5080 -1.6364 -0.0003
-0.0179 -6.6731 372.7039 -6.6731 -0.00030.6667 1153.9843 0.6667 -0.0012
0.0168 3.7072 220.6596 3.7072 -0.0004
-0.0163 -3.5007 214.9221 -3.5007 -0.0004
-0.0066 -0.6514 99.2021 -0.6514 -0.0004
0.0079 0.9081 115.5728 0.9081 -0.0004
0.4632 650.3566 0.4632 -0.0015
0.0216 11.7714 545.8174 11.7714 -0.0010
0.0053 0.6956 131.7996 0.6956 -0.0010-0.0171 -3.8210 223.7493 -3.8210 -0.0010
-0.0173 -6.2849 362.5740 -6.2849 -0.0010
2.3611 1263.9403 2.3611 -0.0040
0.0231 6.6716 289.0966 6.6716 -0.0004
-0.0126 -2.1908 173.2579 -2.1908 -0.0004
-0.0186 -4.4954 241.1084 -4.4954 -0.0004
0.0062 0.5791 93.9768 0.5791 -0.0004
0.5645 797.4397 0.5645 -0.0015
8/16/2019 3Método de Cross Para Redes Cerradas HW
27/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
28/160
7
Otro% Circuito% " m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0182 8.5804 471.9700 8.5804
0.0003 0.0246 12.0387 488.8500 12.0387
0.0005 -0.0080 -0.9317 116.9427 -0.9317
-0.0318 -19.3460 607.9811 -19.3460
0.3414 1685.7438 0.3414
0.0003 0.0140 2.6336 188.5620 2.63360.0010 -0.0067 -0.6850 101.5191 -0.6850
0.0009 -0.0092 -1.2114 131.9464 -1.2114
-0.0039 -0.2428 63.0222 -0.2428
0.4944 485.0497 0.4944
0.0005 0.0242 14.5485 601.6454 14.5485
0.0008 0.0255 12.8611 503.9291 12.8611
0.0004 -0.0158 -3.2945 209.0064 -3.2945
-0.0347 -22.6772 654.0522 -22.6772
1.4378 1968.6331 1.4378
0.0009 0.0218 5.9853 275.0225 5.9853
0.0009 -0.0072 -0.7786 107.6818 -0.7786
-0.0189 -4.6141 244.0150 -4.6141
0.0011 0.0235 21.5356 0.0235
0.6161 648.2549 0.6161
0.0146 5.6839 390.5567 5.6839
0.0003 0.0190 7.4155 391.2242 7.4155
0.0010 -0.0093 -1.2506 133.8936 -1.2506
0.0003 -0.0236 -11.1495 471.9053 -11.1495
0.6993 1387.5798 0.6993
0.0003 0.0153 3.1330 204.2316 3.1330
0.0004 -0.0124 -2.1233 170.7852 -2.1233
0.0008 -0.0069 -0.7164 103.6344 -0.7164
0.0005 0.0027 0.1298 47.2550 0.1298
0.4231 525.9062 0.4231
_ = _ _ ̂
( −1 )|
=−Δ (∑_1^ ▒ _ ) )/( ∑_1^^( −1 ) ) )
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0.0010 0.0219 12.1234 553.2625 12.1234
0.0010 0.0185 7.1164 383.8903 7.1164
0.0009 -0.0185 -4.4378 239.6847 -4.4378
0.0009 -0.0245 -11.9439 487.0761 -11.9439
2.8581 1663.9136 2.8581
0.0008 0.0245 7.4614 304.3566 7.4614
0.0004 -0.0107 -1.5947 149.7213 -1.5947
-0.0207 -5.4448 263.3127 -5.4448
0.0004 0.0032 0.1753 54.2502 0.1753
0.5972 771.6408 0.5972
0.0166 7.2505 436.8050 7.2505
0.0076 1.3657 179.7245 1.3657
0.0004 -0.0107 -1.6161 150.6404 -1.6161
0.0003 -0.0180 -6.7076 373.5890 -6.70760.2925 1140.7589 0.2925
0.0003 0.0167 3.6776 219.8474 3.6776
-0.0167 -3.6553 219.2348 -3.6553
0.0010 -0.0059 -0.5414 91.1150 -0.5414
0.0010 0.0084 1.0350 122.7366 1.0350
0.5159 652.9339 0.5159
0.0004 0.0209 11.1483 532.3391 11.1483
0.0043 0.4697 110.0232 0.46970.0004 -0.0177 -4.0847 230.7185 -4.0847
0.0008 -0.0175 -6.4222 366.1949 -6.4222
1.1110 1239.2758 1.1110
0.0010 0.0237 7.0108 295.7647 7.0108
-0.0130 -2.3150 177.7075 -2.3150
-0.0190 -4.6675 245.3108 -4.6675
0.0009 0.0067 0.6670 100.2890 0.6670
0.6953 819.0720 0.6953
8/16/2019 3Método de Cross Para Redes Cerradas HW
30/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
31/160
8
Otro% Circuito% " m#$%! H m! a&'"'(N-)-0.0001 0.0181 8.4850 469.5518
-0.0001 0.0003 0.0248 12.1865 491.5997
-0.0001 0.0006 -0.0075 -0.8384 111.4071
-0.0001 -0.0319 -19.4693 609.7596
-0.0004 0.3638 1682.3182
-0.0006 0.0001 0.0135 2.4817 183.4798-0.0006 0.0004 -0.0069 -0.7069 103.0030
-0.0006 0.0004 -0.0093 -1.2498 133.8537
-0.0006 -0.0044 -0.3110 70.6101
-0.0022 0.2140 490.9466
-0.0004 0.0006 0.0243 14.7229 604.9499
-0.0004 0.0009 0.0261 13.3630 512.8786
-0.0004 0.0005 -0.0156 -3.2487 207.6645
-0.0004 -0.0351 -23.1572 660.3809
-0.0016 1.6800 1985.8739
-0.0005 0.0004 0.0216 5.9249 273.7438
-0.0005 0.0004 -0.0073 -0.7977 108.8888
-0.0005 -0.0194 -4.8487 249.6421
-0.0005 0.0006 0.0072 12.5342
-0.0021 0.2858 644.8088
-0.0003 0.0143 5.4887 384.3302
-0.0003 0.0001 0.0188 7.3189 388.8736
-0.0003 0.0004 -0.0092 -1.2107 131.9099
-0.0003 0.0001 -0.0238 -11.2922 474.6720
-0.0011 0.3047 1379.7857
-0.0004 0.0003 0.0152 3.0719 202.3902
-0.0004 0.0004 -0.0124 -2.1258 170.8767
-0.0004 0.0009 -0.0064 -0.6246 97.3059
-0.0004 0.0006 0.0029 0.1401 48.9484
-0.0017 0.4616 519.5212
" m!
_ | _ |^( −1 ) ▒( _ | _ |
=Δ _ )^(
8/16/2019 3Método de Cross Para Redes Cerradas HW
32/160
-0.0009 0.0004 0.0214 11.6230 542.6445
-0.0009 0.0005 0.0181 6.8044 376.0578
-0.0009 0.0004 -0.0190 -4.6667 245.2907
-0.0009 0.0004 -0.0251 -12.4292 496.0785
-0.0037 1.3315 1660.0715
-0.0004 0.0009 0.0250 7.7512 309.7355
-0.0004 0.0005 -0.0106 -1.5835 149.2363
-0.0004 -0.0211 -5.6503 267.8365
-0.0004 0.0005 0.0033 0.1850 55.6095
-0.0017 0.7023 782.4179
-0.0001 0.0165 7.1389 433.7013
-0.0001 0.0075 1.3200 176.9329
-0.0001 0.0004 -0.0104 -1.5366 147.1881
-0.0001 0.0003 -0.0178 -6.6154 371.2193-0.0006 0.3068 1129.0415
-0.0004 0.0001 0.0164 3.5611 216.6186
-0.0004 -0.0171 -3.8304 224.0019
-0.0004 0.0005 -0.0059 -0.5317 90.3639
-0.0004 0.0004 0.0084 1.0368 122.8336
-0.0017 0.2357 653.8181
-0.0005 0.0004 0.0209 11.0917 531.0947
-0.0005 0.0038 0.3758 99.3059-0.0005 0.0005 -0.0177 -4.0957 231.0038
-0.0005 0.0009 -0.0171 -6.1247 358.2966
-0.0019 1.2471 1219.7010
-0.0005 0.0005 0.0237 7.0249 296.0378
-0.0005 -0.0135 -2.4681 183.0178
-0.0005 -0.0195 -4.8779 250.3338
-0.0005 0.0004 0.0066 0.6595 99.7686
-0.0018 0.3384 829.1580
8/16/2019 3Método de Cross Para Redes Cerradas HW
33/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
34/160
9
a&"&'"'(N-) Otro% Circuito% " m#$%! H m!8.4850 -0.0001 0.0180 8.3838
12.1865 -0.0001 0.0001 0.0248 12.1887
-0.8384 -0.0001 0.0002 -0.0074 -0.8141
-19.4693 -0.0001 -0.0320 -19.6014
0.3638 -0.0005 0.1570
2.4817 -0.0002 0.0001 0.0134 2.4415-0.7069 -0.0002 0.0005 -0.0066 -0.6610
-1.2498 -0.0002 0.0005 -0.0091 -1.1955
-0.3110 -0.0002 -0.0046 -0.3424
0.2140 -0.0009 0.2426
14.7229 -0.0005 0.0002 0.0241 14.4757
13.3630 -0.0005 0.0004 0.0260 13.3405
-3.2487 -0.0005 0.0002 -0.0159 -3.3328
-23.1572 -0.0005 -0.0355 -23.7190
1.6800 -0.0018 0.7645
5.9249 -0.0002 0.0005 0.0219 6.0357
-0.7977 -0.0002 0.0005 -0.0071 -0.7490
-4.8487 -0.0002 -0.0197 -4.9599
0.0072 -0.0002 0.0003 0.0027
0.2858 -0.0010 0.3295
5.4887 -0.0001 0.0142 5.4041
7.3189 -0.0001 0.0001 0.0188 7.3387
-1.2107 -0.0001 0.0005 -0.0088 -1.1241
-11.2922 -0.0001 0.0001 -0.0238 -11.2943
0.3047 -0.0005 0.3244
3.0719 -0.0005 0.0001 0.0148 2.9382
-2.1258 -0.0005 0.0002 -0.0127 -2.2169
-0.6246 -0.0005 0.0004 -0.0065 -0.6331
0.1401 -0.0005 0.0002 0.0026 0.1188
0.4616 -0.0019 0.2070
" m!
_ = _ _ ^
(∑_1^ ▒( _ | _ |^( −1 ))/( ∑_1^ ▒( _ | _ |1) ) )
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35/160
11.6230 -0.0004 0.0005 0.0215 11.6700
6.8044 -0.0004 0.0006 0.0182 6.8875
-4.6667 -0.0004 0.0005 -0.0190 -4.6433
-12.4292 -0.0004 0.0005 -0.0250 -12.4075
1.3315 -0.0017 1.5067
7.7512 -0.0005 0.0004 0.0250 7.7216
-1.5835 -0.0005 0.0002 -0.0109 -1.6573
-5.6503 -0.0005 -0.0216 -5.8931
0.1850 -0.0005 0.0002 0.0031 0.1605
0.7023 -0.0019 0.3317
7.1389 -0.0001 0.0163 7.0215
1.3200 -0.0001 0.0073 1.2723
-1.5366 -0.0001 0.0002 -0.0104 -1.5235
-6.6154 -0.0001 0.0001 -0.0178 -6.63430.3068 -0.0006 0.1359
3.5611 -0.0002 0.0001 0.0164 3.5419
-3.8304 -0.0002 -0.0173 -3.9116
-0.5317 -0.0002 0.0006 -0.0055 -0.4735
1.0368 -0.0002 0.0005 0.0087 1.1026
0.2357 -0.0008 0.2594
11.0917 -0.0006 0.0002 0.0205 10.7427
0.3758 -0.0006 0.0032 0.2806-4.0957 -0.0006 0.0002 -0.0181 -4.2387
-6.1247 -0.0006 0.0004 -0.0172 -6.2039
1.2471 -0.0022 0.5807
7.0249 -0.0002 0.0006 0.0241 7.2079
-2.4681 -0.0002 -0.0137 -2.5433
-4.8779 -0.0002 -0.0197 -4.9806
0.6595 -0.0002 0.0005 0.0069 0.7092
0.3384 -0.0009 0.3931
8/16/2019 3Método de Cross Para Redes Cerradas HW
36/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
37/160
10
a&'"'(N-) a&"&'"'(N-) Otro% Circuito% " m#$%!466.9673 8.3838 -0.0001 0.0179
491.6418 12.1887 -0.0001 0.0001 0.0249
109.9105 -0.8141 -0.0001 0.0003 -0.0072
611.6576 -19.6014 -0.0001 -0.0321
1680.1772 0.1570 -0.0002
182.1092 2.4415 -0.0003 0.0001 0.013299.8712 -0.6610 -0.0003 0.0002 -0.0067
131.1461 -1.1955 -0.0003 0.0002 -0.0092
73.8106 -0.3424 -0.0003 -0.0049
486.9371 0.2426 -0.0011
600.2602 14.4757 -0.0002 0.0003 0.0242
512.4813 13.3405 -0.0002 0.0005 0.0263
210.1201 -3.3328 -0.0002 0.0003 -0.0158
667.6983 -23.7190 -0.0002 -0.0357
1990.5599 0.7645 -0.0008
276.0841 6.0357 -0.0003 0.0002 0.0218
105.7753 -0.7490 -0.0003 0.0002 -0.0071
252.2585 -4.9599 -0.0003 -0.0199
7.9476 0.0027 -0.0003 0.0001
642.0656 0.3295 -0.0011
381.5959 5.4041 -0.0001 0.0140
389.3571 7.3387 -0.0001 0.0001 0.0188
127.4850 -1.1241 -0.0001 0.0002 -0.0087
474.7143 -11.2943 -0.0001 0.0001 -0.0239
1373.1524 0.3244 -0.0005
198.2897 2.9382 -0.0002 0.0001 0.0147
174.2052 -2.2169 -0.0002 0.0002 -0.0127
97.9082 -0.6331 -0.0002 0.0005 -0.0062
45.3670 0.1188 -0.0002 0.0003 0.0027
515.7701 0.2070 -0.0009
" m!
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
38/160
543.6515 11.6700 -0.0005 0.0002 0.0212
378.1625 6.8875 -0.0005 0.0003 0.0180
244.7239 -4.6433 -0.0005 0.0002 -0.0192
495.6789 -12.4075 -0.0005 0.0002 -0.0253
1662.2169 1.5067 -0.0020
309.1915 7.7216 -0.0002 0.0005 0.0252
152.3959 -1.6573 -0.0002 0.0003 -0.0109
273.0673 -5.8931 -0.0002 -0.0218
52.0963 0.1605 -0.0002 0.0003 0.0031
786.7510 0.3317 -0.0009
430.4070 7.0215 -0.0001 0.0162
173.9653 1.2723 -0.0001 0.0072
146.6123 -1.5235 -0.0001 0.0002 -0.0102
371.7067 -6.6343 -0.0001 0.0001 -0.01781122.6914 0.1359 -0.0003
216.0805 3.5419 -0.0002 0.0001 0.0162
226.1716 -3.9116 -0.0002 -0.0175
85.6693 -0.4735 -0.0002 0.0003 -0.0055
126.3574 1.1026 -0.0002 0.0002 0.0087
654.2788 0.2594 -0.0009
523.3463 10.7427 -0.0003 0.0002 0.0205
86.8289 0.2806 -0.0003 0.0030234.6785 -4.2387 -0.0003 0.0003 -0.0181
360.4192 -6.2039 -0.0003 0.0005 -0.0170
1205.2729 0.5807 -0.0010
299.5576 7.2079 -0.0003 0.0003 0.0241
185.5612 -2.5433 -0.0003 -0.0140
252.7424 -4.9806 -0.0003 -0.0200
103.1553 0.7092 -0.0003 0.0002 0.0069
841.0165 0.3931 -0.0010
8/16/2019 3Método de Cross Para Redes Cerradas HW
39/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
40/160
H m! a&'"'(N-) a&"&'"'(N-) Otro% Circuito%8.3402 465.8494 8.3402 -0.0001
12.2590 492.9430 12.2590 -0.0001 0.0001
-0.7702 107.1428 -0.7702 -0.0001 0.0001
-19.6586 612.4777 -19.6586 -0.0001
0.1704 1678.4130 0.1704 -0.0002
2.3683 179.5782 2.3683 -0.0001 0.0001-0.6707 100.5437 -0.6707 -0.0001 0.0002
-1.2105 131.9012 -1.2105 -0.0001 0.0002
-0.3801 77.4398 -0.3801 -0.0001
0.1070 489.4629 0.1070 -0.0005
14.5444 601.5671 14.5444 -0.0002 0.0001
13.6095 517.2062 13.6095 -0.0002 0.0002
-3.3058 209.3332 -3.3058 -0.0002 0.0001
-23.9760 671.0155 -23.9760 -0.0002
0.8721 1999.1219 0.8721 -0.0009
6.0000 275.3340 6.0000 -0.0001 0.0002
-0.7587 106.4042 -0.7587 -0.0001 0.0003
-5.0901 255.2825 -5.0901 -0.0001
0.0001 1.8476 0.0001 -0.0001
0.1514 638.8683 0.1514 -0.0005
5.3143 378.6676 5.3143 -0.0001
7.2939 388.2627 7.2939 -0.0001 0.0001
-1.1031 126.3871 -1.1031 -0.0001 0.0002
-11.3622 476.0235 -11.3622 -0.0001 0.0001
0.1429 1369.3409 0.1429 -0.0002
2.9055 197.2738 2.9055 -0.0002 0.0001
-2.2177 174.2353 -2.2177 -0.0002 0.0001
-0.5845 94.3799 -0.5845 -0.0002 0.0002
0.1232 46.1384 0.1232 -0.0002 0.0001
0.2265 512.0275 0.2265 -0.0010
" m!
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
41/160
11.3968 537.7635 11.3968 -0.0002 0.0002
6.7278 374.1049 6.7278 -0.0002 0.0003
-4.7626 247.5963 -4.7626 -0.0002 0.0003
-12.6677 500.4312 -12.6677 -0.0002 0.0002
0.6943 1659.8959 0.6943 -0.0009
7.8722 311.9493 7.8722 -0.0003 0.0002
-1.6503 152.1003 -1.6503 -0.0003 0.0001
-6.0088 275.5178 -6.0088 -0.0003
0.1653 52.8078 0.1653 -0.0003 0.0001
0.3784 792.3753 0.3784 -0.0010
6.9695 428.9386 6.9695 -0.0001
1.2513 172.6410 1.2513 -0.0001
-1.4834 144.8236 -1.4834 -0.0001 0.0001
-6.5916 370.6034 -6.5916 -0.0001 0.00010.1458 1117.0066 0.1458 -0.0003
3.4826 214.4099 3.4826 -0.0001 0.0001
-4.0017 228.5532 -4.0017 -0.0001
-0.4662 85.0610 -0.4662 -0.0001 0.0003
1.1032 126.3892 1.1032 -0.0001 0.0002
0.1179 654.4133 0.1179 -0.0004
10.6981 522.3462 10.6981 -0.0003 0.0001
0.2402 80.8413 0.2402 -0.0003-4.2421 234.7641 -4.2421 -0.0003 0.0001
-6.0517 356.3270 -6.0517 -0.0003 0.0002
0.6445 1194.2786 0.6445 -0.0012
7.2122 299.6397 7.2122 -0.0001 0.0003
-2.6308 188.4669 -2.6308 -0.0001
-5.0994 255.4962 -5.0994 -0.0001
0.7045 102.8387 0.7045 -0.0001 0.0003
0.1865 846.4414 0.1865 -0.0005
8/16/2019 3Método de Cross Para Redes Cerradas HW
42/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
43/160
11
" m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0178 8.2930 464.6342 8.2930 0.0000
0.0249 12.2604 492.9684 12.2604 0.0000
-0.0071 -0.7577 106.3403 -0.7577 0.0000
-0.0322 -19.7208 613.3685 -19.7208 0.0000
0.0748 1677.3115 0.0748 -0.0001
0.0131 2.3474 178.8453 2.3474 -0.0001-0.0066 -0.6484 98.9910 -0.6484 -0.0001
-0.0091 -1.1820 130.4617 -1.1820 -0.0001
-0.0050 -0.3972 79.0225 -0.3972 -0.0001
0.1198 487.3205 0.1198 -0.0005
0.0241 14.4137 599.0765 14.4137 -0.0001
0.0263 13.6002 517.0438 13.6002 -0.0001
-0.0159 -3.3476 210.5472 -3.3476 -0.0001
-0.0360 -24.2696 674.7801 -24.2696 -0.0001
0.3968 2001.4476 0.3968 -0.0004
0.0219 6.0550 276.4913 6.0550 -0.0001
-0.0070 -0.7333 104.7508 -0.7333 -0.0001
-0.0201 -5.1508 256.6765 -5.1508 -0.0001
-0.0001 -0.0001 2.0072 -0.0001 -0.0001
0.1709 639.9258 0.1709 -0.0006
0.0140 5.2749 377.3729 5.2749 -0.0001
0.0188 7.3041 388.5116 7.3041 -0.0001
-0.0085 -1.0608 124.1333 -1.0608 -0.0001
-0.0239 -11.3635 476.0491 -11.3635 -0.0001
0.1546 1366.0668 0.1546 -0.0002
0.0145 2.8392 195.1904 2.8392 -0.0001
-0.0129 -2.2637 175.8843 -2.2637 -0.0001
-0.0062 -0.5868 94.5486 -0.5868 -0.0001
0.0026 0.1131 44.3553 0.1131 -0.0001
0.1019 509.9786 0.1019 -0.0004
" m!
_ = _ _ ̂
=−Δ (∑_1^ ▒( _ | _ | _ ) )/( ∑_1^ ▒( _ | _ ^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
44/160
0.0212 11.4098 538.0444 11.4098 -0.0003
0.0180 6.7733 375.2656 6.7733 -0.0003
-0.0192 -4.7480 247.2453 -4.7480 -0.0003
-0.0253 -12.6587 500.2680 -12.6587 -0.0003
0.7764 1660.8233 0.7764 -0.0010
0.0252 7.8537 311.6122 7.8537 -0.0001
-0.0110 -1.6897 153.7567 -1.6897 -0.0001
-0.0221 -6.1410 278.2893 -6.1410 -0.0001
0.0030 0.1528 50.9354 0.1528 -0.0001
0.1759 794.5935 0.1759 -0.0005
0.0162 6.9136 427.3540 6.9136 0.0000
0.0072 1.2289 171.2106 1.2289 0.0000
-0.0102 -1.4762 144.5012 -1.4762 0.0000
-0.0178 -6.6013 370.8543 -6.6013 0.00000.0649 1113.9201 0.0649 -0.0001
0.0162 3.4720 214.1090 3.4720 -0.0001
-0.0176 -4.0430 229.6336 -4.0430 -0.0001
-0.0053 -0.4361 82.4885 -0.4361 -0.0001
0.0089 1.1366 128.1330 1.1366 -0.0001
0.1295 654.3640 0.1295 -0.0004
0.0203 10.5110 518.1270 10.5110 -0.0001
0.0027 0.1984 74.0406 0.1984 -0.0001-0.0182 -4.3173 236.6703 -4.3173 -0.0001
-0.0170 -6.0951 357.4977 -6.0951 -0.0001
0.2971 1186.3355 0.2971 -0.0005
0.0242 7.3081 301.4664 7.3081 -0.0001
-0.0141 -2.6724 189.8337 -2.6724 -0.0001
-0.0201 -5.1558 256.7923 -5.1558 -0.0001
0.0070 0.7312 104.6116 0.7312 -0.0001
0.2110 852.7041 0.2110 -0.0005
8/16/2019 3Método de Cross Para Redes Cerradas HW
45/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
46/160
12
Otro% Circuito% " m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0178 8.2722 464.1003 8.2722
0.0001 0.0249 12.2942 493.5932 12.2942
0.0001 -0.0070 -0.7364 104.9581 -0.7364
-0.0322 -19.7482 613.7598 -19.7482
0.0818 1676.4114 0.0818
0.0000 0.0130 2.3115 177.5840 2.31150.0001 -0.0066 -0.6530 99.3112 -0.6530
0.0001 -0.0091 -1.1882 130.7766 -1.1882
-0.0052 -0.4169 80.7958 -0.4169
0.0535 488.4676 0.0535
0.0001 0.0241 14.4422 599.6211 14.4422
0.0003 0.0264 13.7398 519.4760 13.7398
0.0001 -0.0159 -3.3331 210.1284 -3.3331
-0.0361 -24.4035 676.4896 -24.4035
0.4453 2005.7151 0.4453
0.0001 0.0219 6.0360 276.0920 6.0360
0.0001 -0.0070 -0.7381 105.0651 -0.7381
-0.0202 -5.2195 258.2459 -5.2195
-0.0002 -0.0011 5.3282 -0.0011
0.0773 644.7311 0.0773
0.0139 5.2322 375.9676 5.2322
0.0000 0.0188 7.2828 387.9900 7.2828
0.0001 -0.0085 -1.0501 123.5551 -1.0501
0.0000 -0.0239 -11.3962 476.6777 -11.3962
0.0687 1364.1904 0.0687
0.0001 0.0145 2.8223 194.6563 2.8223
0.0001 -0.0129 -2.2640 175.8961 -2.2640
0.0003 -0.0061 -0.5617 92.6700 -0.5617
0.0001 0.0026 0.1152 44.7236 0.1152
0.1118 507.9459 0.1118
( −1 )|
=−Δ (∑_1^ ▒ _ ) )/( ∑_1^^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
47/160
0.0001 0.0211 11.2661 534.9196 11.2661
0.0001 0.0179 6.6920 373.1897 6.6920
0.0001 -0.0193 -4.8090 248.7015 -4.8090
0.0001 -0.0254 -12.7937 502.7142 -12.7937
0.3555 1659.5250 0.3555
0.0003 0.0253 7.9306 313.0109 7.9306
0.0001 -0.0110 -1.6856 153.5882 -1.6856
-0.0222 -6.2027 279.5720 -6.2027
0.0001 0.0030 0.1551 51.2918 0.1551
0.1974 797.4629 0.1974
0.0161 6.8887 426.6459 6.8887
0.0071 1.2189 170.5711 1.2189
0.0001 -0.0101 -1.4561 143.5931 -1.4561
0.0001 -0.0178 -6.5809 370.3284 -6.58090.0705 1111.1385 0.0705
0.0000 0.0161 3.4422 213.2614 3.4422
-0.0177 -4.0886 230.8196 -4.0886
0.0001 -0.0053 -0.4318 82.1115 -0.4318
0.0001 0.0089 1.1368 128.1453 1.1368
0.0587 654.3378 0.0587
0.0001 0.0203 10.4838 517.5100 10.4838
0.0025 0.1803 70.8482 0.18030.0001 -0.0182 -4.3180 236.6876 -4.3180
0.0003 -0.0169 -6.0177 355.4040 -6.0177
0.3284 1180.4498 0.3284
0.0001 0.0242 7.3090 301.4830 7.3090
-0.0142 -2.7196 191.3671 -2.7196
-0.0202 -5.2196 258.2470 -5.2196
0.0001 0.0070 0.7284 104.4314 0.7284
0.0983 855.5285 0.0983
8/16/2019 3Método de Cross Para Redes Cerradas HW
48/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
49/160
13
Otro% Circuito% " m#$%! H m! a&'"'(N-)0.0000 0.0178 8.2496 463.5160
0.0000 0.0000 0.0249 12.2950 493.6075
0.0000 0.0001 -0.0070 -0.7301 104.5403
0.0000 -0.0322 -19.7782 614.1878
-0.0001 0.0364 1675.8516
-0.0001 0.0000 0.0130 2.3007 177.2030-0.0001 0.0001 -0.0065 -0.6420 98.5432
-0.0001 0.0001 -0.0090 -1.1735 130.0318
-0.0001 -0.0052 -0.4257 81.5838
-0.0002 0.0594 487.3617
-0.0001 0.0001 0.0240 14.3748 598.3333
-0.0001 0.0001 0.0264 13.7357 519.4051
-0.0001 0.0001 -0.0159 -3.3546 210.7500
-0.0001 -0.0362 -24.5539 678.4035
-0.0005 0.2020 2006.8919
-0.0001 0.0001 0.0219 6.0642 276.6846
-0.0001 0.0001 -0.0070 -0.7247 104.1875
-0.0001 -0.0203 -5.2505 258.9503
-0.0001 -0.0003 -0.0018 6.6898
-0.0003 0.0872 646.5122
0.0000 0.0139 5.2133 375.3418
0.0000 0.0000 0.0188 7.2879 388.1145
0.0000 0.0001 -0.0084 -1.0292 122.4201
0.0000 0.0000 -0.0239 -11.3969 476.6921
-0.0001 0.0750 1362.5684
-0.0001 0.0000 0.0144 2.7894 193.6085
-0.0001 0.0000 -0.0129 -2.2870 176.7151
-0.0001 0.0001 -0.0061 -0.5623 92.7112
-0.0001 0.0001 0.0025 0.1103 43.8395
-0.0005 0.0504 506.8742
" m!
_ = _ _ ̂
_ | _ |^( −1 ) ▒( _ | _ |
=Δ _ )^(
8/16/2019 3Método de Cross Para Redes Cerradas HW
50/160
-0.0001 0.0001 0.0211 11.2693 534.9881
-0.0001 0.0002 0.0180 6.7159 373.8020
-0.0001 0.0001 -0.0193 -4.8007 248.5046
-0.0001 0.0001 -0.0254 -12.7898 502.6429
-0.0005 0.3947 1659.9377
-0.0001 0.0001 0.0253 7.9202 312.8217
-0.0001 0.0001 -0.0110 -1.7061 154.4411
-0.0001 -0.0223 -6.2721 281.0051
-0.0001 0.0001 0.0030 0.1487 50.2958
-0.0005 0.0907 798.5637
0.0000 0.0161 6.8616 425.8746
0.0000 0.0071 1.2081 169.8743
0.0000 0.0000 -0.0101 -1.4524 143.4227
0.0000 0.0000 -0.0178 -6.5858 370.4539-0.0001 0.0316 1109.6255
0.0000 0.0000 0.0161 3.4366 213.1024
0.0000 -0.0178 -4.1093 231.3565
0.0000 0.0002 -0.0052 -0.4164 80.7558
0.0000 0.0001 0.0089 1.1536 129.0109
-0.0002 0.0645 654.2256
-0.0002 0.0000 0.0202 10.3865 515.2947
-0.0002 0.0024 0.1611 67.2715-0.0002 0.0001 -0.0183 -4.3568 237.6615
-0.0002 0.0001 -0.0170 -6.0405 356.0216
-0.0006 0.1503 1176.2493
-0.0001 0.0002 0.0243 7.3583 302.4165
-0.0001 -0.0143 -2.7416 192.0780
-0.0001 -0.0203 -5.2493 258.9216
-0.0001 0.0001 0.0070 0.7423 105.3436
-0.0002 0.1098 858.7598
8/16/2019 3Método de Cross Para Redes Cerradas HW
51/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
52/160
14
a&"&'"'(N-) Otro% Circuito% " m#$%! H m!8.2496 0.0000 0.0178 8.2395
12.2950 0.0000 0.0000 0.0249 12.3114
-0.7301 0.0000 0.0001 -0.0069 -0.7196
-19.7782 0.0000 -0.0322 -19.7915
0.0364 0.0000 0.0399
2.3007 -0.0001 0.0000 0.0129 2.2830-0.6420 -0.0001 0.0001 -0.0065 -0.6443
-1.1735 -0.0001 0.0001 -0.0090 -1.1763
-0.4257 -0.0001 -0.0053 -0.4358
0.0594 -0.0003 0.0267
14.3748 -0.0001 0.0001 0.0240 14.3876
13.7357 -0.0001 0.0001 0.0265 13.8070
-3.3546 -0.0001 0.0001 -0.0159 -3.3474
-24.5539 -0.0001 -0.0362 -24.6223
0.2020 -0.0002 0.2249
6.0642 -0.0001 0.0001 0.0219 6.0548
-0.7247 -0.0001 0.0001 -0.0070 -0.7269
-5.2505 -0.0001 -0.0203 -5.2855
-0.0018 -0.0001 -0.0003 -0.0028
0.0872 -0.0003 0.0395
5.2133 0.0000 0.0139 5.1927
7.2879 0.0000 0.0000 0.0188 7.2776
-1.0292 0.0000 0.0001 -0.0084 -1.0238
-11.3969 0.0000 0.0000 -0.0239 -11.4129
0.0750 -0.0001 0.0336
2.7894 -0.0001 0.0000 0.0144 2.7808
-2.2870 -0.0001 0.0001 -0.0129 -2.2871
-0.5623 -0.0001 0.0001 -0.0060 -0.5495
0.1103 -0.0001 0.0001 0.0025 0.1113
0.0504 -0.0002 0.0554
" m!
(∑_1^ ▒( _ | _ |^( −1 ))/( ∑_1^ ▒( _ | _ |1) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
53/160
11.2693 -0.0001 0.0001 0.0210 11.1954
6.7159 -0.0001 0.0001 0.0179 6.6749
-4.8007 -0.0001 0.0001 -0.0194 -4.8317
-12.7898 -0.0001 0.0001 -0.0255 -12.8588
0.3947 -0.0005 0.1798
7.9202 -0.0001 0.0001 0.0254 7.9591
-1.7061 -0.0001 0.0001 -0.0110 -1.7039
-6.2721 -0.0001 -0.0224 -6.3040
0.1487 -0.0001 0.0001 0.0030 0.1497
0.0907 -0.0002 0.1009
6.8616 0.0000 0.0161 6.8495
1.2081 0.0000 0.0071 1.2033
-1.4524 0.0000 0.0001 -0.0101 -1.4423
-6.5858 0.0000 0.0000 -0.0178 -6.57590.0316 -0.0001 0.0345
3.4366 -0.0001 0.0000 0.0161 3.4217
-4.1093 -0.0001 -0.0178 -4.1321
-0.4164 -0.0001 0.0001 -0.0051 -0.4140
1.1536 -0.0001 0.0001 0.0089 1.1537
0.0645 -0.0002 0.0292
10.3865 -0.0001 0.0001 0.0201 10.3714
0.1611 -0.0001 0.0023 0.1526-4.3568 -0.0001 0.0001 -0.0183 -4.3568
-6.0405 -0.0001 0.0001 -0.0169 -6.0014
0.1503 -0.0003 0.1659
7.3583 -0.0001 0.0001 0.0243 7.3583
-2.7416 -0.0001 -0.0143 -2.7662
-5.2493 -0.0001 -0.0203 -5.2824
0.7423 -0.0001 0.0001 0.0070 0.7408
0.1098 -0.0003 0.0505
8/16/2019 3Método de Cross Para Redes Cerradas HW
54/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
55/160
15
a&'"'(N-) a&"&'"'(N-) Otro% Circuito% " m#$%!463.2562 8.2395 0.0000 0.0178
493.9114 12.3114 0.0000 0.0000 0.0249
103.8498 -0.7196 0.0000 0.0000 -0.0069
614.3780 -19.7915 0.0000 -0.0322
1675.3953 0.0399 -0.0001
176.5736 2.2830 0.0000 0.0000 0.012998.6998 -0.6443 0.0000 0.0001 -0.0065
130.1730 -1.1763 0.0000 0.0001 -0.0090
82.4596 -0.4358 0.0000 -0.0053
487.9060 0.0267 -0.0001
598.5774 14.3876 -0.0001 0.0000 0.0240
520.6433 13.8070 -0.0001 0.0001 0.0265
210.5420 -3.3474 -0.0001 0.0000 -0.0159
679.2707 -24.6223 -0.0001 -0.0363
2009.0334 0.2249 -0.0002
276.4863 6.0548 0.0000 0.0001 0.0219
104.3339 -0.7269 0.0000 0.0001 -0.0069
259.7416 -5.2855 0.0000 -0.0204
8.1642 -0.0028 0.0000 -0.0004
648.7261 0.0395 -0.0001
374.6578 5.1927 0.0000 0.0138
387.8618 7.2776 0.0000 0.0000 0.0188
122.1228 -1.0238 0.0000 0.0001 -0.0083
476.9978 -11.4129 0.0000 0.0000 -0.0239
1361.6401 0.0336 -0.0001
193.3341 2.7808 -0.0001 0.0000 0.0143
176.7206 -2.2871 -0.0001 0.0000 -0.0130
91.7379 -0.5495 -0.0001 0.0001 -0.0060
44.0199 0.1113 -0.0001 0.0000 0.0025
505.8125 0.0554 -0.0002
" m!
_
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
56/160
533.3722 11.1954 -0.0001 0.0001 0.0210
372.7495 6.6749 -0.0001 0.0001 0.0179
249.2393 -4.8317 -0.0001 0.0001 -0.0194
503.8882 -12.8588 -0.0001 0.0001 -0.0255
1659.2493 0.1798 -0.0002
313.5274 7.9591 -0.0001 0.0001 0.0254
154.3493 -1.7039 -0.0001 0.0000 -0.0111
281.6622 -6.3040 -0.0001 -0.0224
50.4621 0.1497 -0.0001 0.0000 0.0029
800.0009 0.1009 -0.0003
425.5288 6.8495 0.0000 0.0161
169.5618 1.2033 0.0000 0.0071
142.9660 -1.4423 0.0000 0.0000 -0.0101
370.1991 -6.5759 0.0000 0.0000 -0.01781108.2558 0.0345 -0.0001
212.6764 3.4217 0.0000 0.0000 0.0161
231.9467 -4.1321 0.0000 -0.0178
80.5453 -0.4140 0.0000 0.0001 -0.0051
129.0167 1.1537 0.0000 0.0001 0.0090
654.1851 0.0292 -0.0001
514.9512 10.3714 -0.0001 0.0000 0.0201
65.6175 0.1526 -0.0001 0.0022237.6612 -4.3568 -0.0001 0.0000 -0.0184
354.9601 -6.0014 -0.0001 0.0001 -0.0169
1173.1900 0.1659 -0.0003
302.4163 7.3583 0.0000 0.0001 0.0244
192.8686 -2.7662 0.0000 -0.0144
259.6720 -5.2824 0.0000 -0.0204
105.2454 0.7408 0.0000 0.0001 0.0071
860.2023 0.0505 -0.0001
8/16/2019 3Método de Cross Para Redes Cerradas HW
57/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
58/160
H m! a&'"'(N-) a&"&'"'(N-) Otro% Circuito%8.2285 462.9711 8.2285 0.0000
12.3119 493.9191 12.3119 0.0000 0.0000
-0.7164 103.6366 -0.7164 0.0000 0.0000
-19.8061 614.5868 -19.8061 0.0000
0.0179 1675.1135 0.0179 0.0000
2.2775 176.3794 2.2775 0.0000 0.0000-0.6389 98.3186 -0.6389 0.0000 0.0000
-1.1688 129.7939 -1.1688 0.0000 0.0000
-0.4403 82.8521 -0.4403 0.0000
0.0296 487.3440 0.0296 -0.0001
14.3534 597.9221 14.3534 0.0000 0.0000
13.8051 520.6109 13.8051 0.0000 0.0001
-3.3582 210.8527 -3.3582 0.0000 0.0000
-24.6984 680.2352 -24.6984 0.0000
0.1020 2009.6209 0.1020 -0.0001
6.0689 276.7826 6.0689 0.0000 0.0000
-0.7201 103.8847 -0.7201 0.0000 0.0000
-5.3013 260.0991 -5.3013 0.0000
-0.0034 8.8151 -0.0034 0.0000
0.0441 649.5815 0.0441 -0.0001
5.1834 374.3514 5.1834 0.0000
7.2801 387.9235 7.2801 0.0000 0.0000
-1.0134 121.5540 -1.0134 0.0000 0.0000
-11.4133 477.0056 -11.4133 0.0000 0.0000
0.0368 1360.8343 0.0368 -0.0001
2.7644 192.8094 2.7644 0.0000 0.0000
-2.2986 177.1280 -2.2986 0.0000 0.0000
-0.5496 91.7462 -0.5496 0.0000 0.0001
0.1089 43.5806 0.1089 0.0000 0.0000
0.0250 505.2642 0.0250 -0.0001
" m!
= _ _ ̂
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
59/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
60/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
61/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
62/160
0.0210 11.1585 532.5635 11.1585 0.0000
0.0179 6.6666 372.5355 6.6666 0.0000
-0.0194 -4.8428 249.5028 -4.8428 0.0000
-0.0256 -12.8919 504.4835 -12.8919 0.0000
0.0904 1659.0854 0.0904 -0.0001
0.0254 7.9731 313.7806 7.9731 0.0000
-0.0111 -1.7131 154.7345 -1.7131 0.0000
-0.0225 -6.3559 282.7247 -6.3559 0.0000
0.0029 0.1470 50.0324 0.1470 0.0000
0.0510 801.2722 0.0510 -0.0001
0.0161 6.8303 424.9799 6.8303 0.0000
0.0071 1.1956 169.0656 1.1956 0.0000
-0.0101 -1.4354 142.6494 -1.4354 0.0000
-0.0178 -6.5735 370.1365 -6.5735 0.00000.0170 1106.8315 0.0170 0.0000
0.0161 3.4113 212.3811 3.4113 0.0000
-0.0179 -4.1539 232.5077 -4.1539 0.0000
-0.0051 -0.4051 79.7365 -0.4051 0.0000
0.0090 1.1621 129.4500 1.1621 0.0000
0.0145 654.0752 0.0145 0.0000
0.0201 10.3137 513.6321 10.3137 0.0000
0.0022 0.1394 62.9366 0.1394 0.0000-0.0184 -4.3763 238.1509 -4.3763 0.0000
-0.0169 -5.9934 354.7442 -5.9934 0.0000
0.0833 1169.4638 0.0833 -0.0002
0.0244 7.3832 302.8858 7.3832 0.0000
-0.0144 -2.7902 193.6334 -2.7902 0.0000
-0.0204 -5.3146 260.3981 -5.3146 0.0000
0.0071 0.7471 105.6573 0.7471 0.0000
0.0256 862.5746 0.0256 -0.0001
8/16/2019 3Método de Cross Para Redes Cerradas HW
63/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
64/160
17
Otro% Circuito% " m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0178 8.2182 462.7030 8.2182
0.0000 0.0249 12.3202 494.0723 12.3202
0.0000 -0.0069 -0.7096 103.1842 -0.7096
-0.0322 -19.8199 614.7830 -19.8199
0.0088 1674.7425 0.0088
0.0000 0.0129 2.2660 175.9673 2.26600.0000 -0.0065 -0.6373 98.2066 -0.6373
0.0000 -0.0090 -1.1664 129.6683 -1.1664
-0.0054 -0.4476 83.4825 -0.4476
0.0147 487.3246 0.0147
0.0000 0.0240 14.3420 597.7051 14.3420
0.0000 0.0266 13.8403 521.2197 13.8403
0.0000 -0.0159 -3.3599 210.9037 -3.3599
-0.0364 -24.7712 681.1563 -24.7712
0.0512 2010.9848 0.0512
0.0000 0.0219 6.0712 276.8312 6.0712
0.0000 -0.0069 -0.7178 103.7284 -0.7178
-0.0204 -5.3270 260.6774 -5.3270
-0.0004 -0.0043 9.8508 -0.0043
0.0222 651.0878 0.0222
0.0138 5.1688 373.8640 5.1688
0.0000 0.0188 7.2763 387.8303 7.2763
0.0000 -0.0083 -1.0056 121.1188 -1.0056
0.0000 -0.0239 -11.4213 477.1597 -11.4213
0.0182 1359.9728 0.0182
0.0000 0.0143 2.7519 192.4080 2.7519
0.0000 -0.0130 -2.3044 177.3336 -2.3044
0.0000 -0.0060 -0.5432 91.2509 -0.5432
0.0000 0.0025 0.1082 43.4514 0.1082
0.0125 504.4440 0.0125
_ = _ _ ̂
( −1 )|
=−Δ (∑_1^ ▒ _ ) )/( ∑_1^^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
65/160
0.0000 0.0210 11.1585 532.5644 11.1585
0.0000 0.0179 6.6728 372.6960 6.6728
0.0000 -0.0194 -4.8405 249.4484 -4.8405
0.0000 -0.0256 -12.8910 504.4680 -12.8910
0.0999 1659.1768 0.0999
0.0000 0.0254 7.9702 313.7283 7.9702
0.0000 -0.0111 -1.7184 154.9531 -1.7184
-0.0225 -6.3739 283.0930 -6.3739
0.0000 0.0029 0.1453 49.7740 0.1453
0.0232 801.5484 0.0232
0.0161 6.8238 424.7929 6.8238
0.0071 1.1930 168.8965 1.1930
0.0000 -0.0101 -1.4344 142.6048 -1.4344
0.0000 -0.0178 -6.5747 370.1674 -6.57470.0077 1106.4617 0.0077
0.0000 0.0161 3.4099 212.3395 3.4099
-0.0179 -4.1590 232.6407 -4.1590
0.0000 -0.0051 -0.4012 79.3825 -0.4012
0.0000 0.0090 1.1663 129.6644 1.1663
0.0160 654.0270 0.0160
0.0000 0.0201 10.2885 513.0554 10.2885
0.0022 0.1349 62.0042 0.13490.0000 -0.0184 -4.3862 238.3986 -4.3862
0.0000 -0.0169 -5.9994 354.9061 -5.9994
0.0379 1168.3643 0.0379
0.0000 0.0244 7.3958 303.1233 7.3958
-0.0144 -2.7959 193.8168 -2.7959
-0.0204 -5.3223 260.5722 -5.3223
0.0000 0.0071 0.7507 105.8910 0.7507
0.0283 863.4033 0.0283
8/16/2019 3Método de Cross Para Redes Cerradas HW
66/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
67/160
18
Otro% Circuito% " m#$%! H m! a&'"'(N-)0.0000 0.0178 8.2157 462.6398
0.0000 0.0000 0.0249 12.3242 494.1460
0.0000 0.0000 -0.0069 -0.7071 103.0121
0.0000 -0.0322 -19.8231 614.8292
0.0000 0.0097 1674.6272
0.0000 0.0000 0.0129 2.2616 175.81060.0000 0.0000 -0.0065 -0.6378 98.2451
0.0000 0.0000 -0.0090 -1.1670 129.6998
0.0000 -0.0054 -0.4501 83.6987
-0.0001 0.0067 487.4542
0.0000 0.0000 0.0240 14.3449 597.7595
0.0000 0.0000 0.0266 13.8584 521.5331
0.0000 0.0000 -0.0159 -3.3581 210.8515
0.0000 -0.0364 -24.7885 681.3756
-0.0001 0.0566 2011.5196
0.0000 0.0000 0.0219 6.0689 276.7814
0.0000 0.0000 -0.0069 -0.7183 103.7634
0.0000 -0.0205 -5.3359 260.8770
0.0000 -0.0005 -0.0046 10.2040
-0.0001 0.0100 651.6258
0.0000 0.0138 5.1638 373.6979
0.0000 0.0000 0.0188 7.2738 387.7691
0.0000 0.0000 -0.0083 -1.0042 121.0429
0.0000 0.0000 -0.0239 -11.4251 477.2339
0.0000 0.0082 1359.7438
0.0000 0.0000 0.0143 2.7497 192.3380
0.0000 0.0000 -0.0130 -2.3045 177.3349
0.0000 0.0000 -0.0059 -0.5399 91.0006
0.0000 0.0000 0.0025 0.1084 43.4958
-0.0001 0.0137 504.1694
" m!
_ | _ |^( −1 ) ▒( _ | _ |
=Δ _ )^(
8/16/2019 3Método de Cross Para Redes Cerradas HW
68/160
0.0000 0.0000 0.0209 11.1396 532.1495
0.0000 0.0000 0.0179 6.6624 372.4301
0.0000 0.0000 -0.0194 -4.8483 249.6329
0.0000 0.0000 -0.0256 -12.9085 504.7831
-0.0001 0.0453 1658.9955
0.0000 0.0000 0.0254 7.9800 313.9055
0.0000 0.0000 -0.0111 -1.7178 154.9285
0.0000 -0.0225 -6.3821 283.2604
0.0000 0.0000 0.0029 0.1456 49.8138
-0.0001 0.0257 801.9082
0.0000 0.0161 6.8208 424.7086
0.0000 0.0071 1.1919 168.8203
0.0000 0.0000 -0.0100 -1.4319 142.4905
0.0000 0.0000 -0.0178 -6.5723 370.10580.0000 0.0084 1106.1251
0.0000 0.0000 0.0160 3.4062 212.2329
0.0000 -0.0179 -4.1647 232.7871
0.0000 0.0000 -0.0050 -0.4005 79.3252
0.0000 0.0000 0.0090 1.1663 129.6658
-0.0001 0.0072 654.0109
0.0000 0.0000 0.0200 10.2845 512.9622
0.0000 0.0022 0.1329 61.57940.0000 0.0000 -0.0184 -4.3861 238.3963
0.0000 0.0000 -0.0169 -5.9895 354.6379
-0.0001 0.0417 1167.5757
0.0000 0.0000 0.0244 7.3957 303.1210
0.0000 -0.0144 -2.8023 194.0194
0.0000 -0.0204 -5.3309 260.7646
0.0000 0.0000 0.0071 0.7503 105.8646
-0.0001 0.0129 863.7696
8/16/2019 3Método de Cross Para Redes Cerradas HW
69/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
70/160
19
a&"&'"'(N-) Otro% Circuito% " m#$%! H m!8.2157 0.0000 0.0178 8.2130
12.3242 0.0000 0.0000 0.0249 12.3243
-0.7071 0.0000 0.0000 -0.0069 -0.7062
-19.8231 0.0000 -0.0322 -19.8267
0.0097 0.0000 0.0044
2.2616 0.0000 0.0000 0.0129 2.2602-0.6378 0.0000 0.0000 -0.0065 -0.6365
-1.1670 0.0000 0.0000 -0.0090 -1.1651
-0.4501 0.0000 -0.0054 -0.4513
0.0067 0.0000 0.0073
14.3449 0.0000 0.0000 0.0240 14.3362
13.8584 0.0000 0.0000 0.0266 13.8579
-3.3581 0.0000 0.0000 -0.0159 -3.3608
-24.7885 0.0000 -0.0364 -24.8077
0.0566 -0.0001 0.0256
6.0689 0.0000 0.0000 0.0219 6.0724
-0.7183 0.0000 0.0000 -0.0069 -0.7166
-5.3359 0.0000 -0.0205 -5.3399
-0.0046 0.0000 -0.0005 -0.0048
0.0100 0.0000 0.0111
5.1638 0.0000 0.0138 5.1615
7.2738 0.0000 0.0000 0.0188 7.2744
-1.0042 0.0000 0.0000 -0.0083 -1.0016
-11.4251 0.0000 0.0000 -0.0239 -11.4252
0.0082 0.0000 0.0090
2.7497 0.0000 0.0000 0.0143 2.7456
-2.3045 0.0000 0.0000 -0.0130 -2.3073
-0.5399 0.0000 0.0000 -0.0059 -0.5399
0.1084 0.0000 0.0000 0.0025 0.1078
0.0137 -0.0001 0.0062
" m!
_ = _ _
(∑_1^ ▒( _ | _ |^( −1 ))/( ∑_1^ ▒( _ | _ |1) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
71/160
11.1396 0.0000 0.0000 0.0209 11.1396
6.6624 0.0000 0.0000 0.0179 6.6656
-4.8483 0.0000 0.0000 -0.0194 -4.8471
-12.9085 0.0000 0.0000 -0.0256 -12.9081
0.0453 -0.0001 0.0500
7.9800 0.0000 0.0000 0.0254 7.9785
-1.7178 0.0000 0.0000 -0.0111 -1.7204
-6.3821 0.0000 -0.0225 -6.3912
0.1456 0.0000 0.0000 0.0029 0.1448
0.0257 -0.0001 0.0116
6.8208 0.0000 0.0161 6.8176
1.1919 0.0000 0.0071 1.1906
-1.4319 0.0000 0.0000 -0.0100 -1.4314
-6.5723 0.0000 0.0000 -0.0178 -6.57290.0084 0.0000 0.0038
3.4062 0.0000 0.0000 0.0160 3.4054
-4.1647 0.0000 -0.0179 -4.1673
-0.4005 0.0000 0.0000 -0.0050 -0.3986
1.1663 0.0000 0.0000 0.0090 1.1684
0.0072 0.0000 0.0080
10.2845 0.0000 0.0000 0.0200 10.2718
0.1329 0.0000 0.0021 0.1307-4.3861 0.0000 0.0000 -0.0184 -4.3911
-5.9895 0.0000 0.0000 -0.0169 -5.9925
0.0417 -0.0001 0.0189
7.3957 0.0000 0.0000 0.0244 7.4020
-2.8023 0.0000 -0.0145 -2.8052
-5.3309 0.0000 -0.0205 -5.3348
0.7503 0.0000 0.0000 0.0071 0.7521
0.0129 0.0000 0.0142
8/16/2019 3Método de Cross Para Redes Cerradas HW
72/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
73/160
20
a&'"'(N-) a&"&'"'(N-) Otro% Circuito% " m#$%!462.5703 8.2130 0.0000 0.0178
494.1480 12.3243 0.0000 0.0000 0.0249
102.9580 -0.7062 0.0000 0.0000 -0.0069
614.8801 -19.8267 0.0000 -0.0322
1674.5565 0.0044 0.0000
175.7613 2.2602 0.0000 0.0000 0.012998.1508 -0.6365 0.0000 0.0000 -0.0065
129.6037 -1.1651 0.0000 0.0000 -0.0090
83.7964 -0.4513 0.0000 -0.0054
487.3121 0.0073 0.0000
597.5934 14.3362 0.0000 0.0000 0.0240
521.5255 13.8579 0.0000 0.0000 0.0266
210.9290 -3.3608 0.0000 0.0000 -0.0159
681.6179 -24.8077 0.0000 -0.0364
2011.6658 0.0256 0.0000
276.8553 6.0724 0.0000 0.0000 0.0219
103.6491 -0.7166 0.0000 0.0000 -0.0069
260.9674 -5.3399 0.0000 -0.0205
10.3632 -0.0048 0.0000 -0.0005
651.8350 0.0111 0.0000
373.6229 5.1615 0.0000 0.0138
387.7843 7.2744 0.0000 0.0000 0.0188
120.9009 -1.0016 0.0000 0.0000 -0.0083
477.2359 -11.4252 0.0000 0.0000 -0.0239
1359.5440 0.0090 0.0000
192.2071 2.7456 0.0000 0.0000 0.0143
177.4361 -2.3073 0.0000 0.0000 -0.0130
90.9999 -0.5399 0.0000 0.0000 -0.0059
43.3871 0.1078 0.0000 0.0000 0.0025
504.0301 0.0062 0.0000
" m!
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
74/160
532.1483 11.1396 0.0000 0.0000 0.0209
372.5109 6.6656 0.0000 0.0000 0.0179
249.6052 -4.8471 0.0000 0.0000 -0.0194
504.7754 -12.9081 0.0000 0.0000 -0.0256
1659.0398 0.0500 -0.0001
313.8789 7.9785 0.0000 0.0000 0.0254
155.0382 -1.7204 0.0000 0.0000 -0.0111
283.4453 -6.3912 0.0000 -0.0226
49.6839 0.1448 0.0000 0.0000 0.0029
802.0463 0.0116 0.0000
424.6158 6.8176 0.0000 0.0161
168.7364 1.1906 0.0000 0.0071
142.4680 -1.4314 0.0000 0.0000 -0.0100
370.1211 -6.5729 0.0000 0.0000 -0.01781105.9414 0.0038 0.0000
212.2119 3.4054 0.0000 0.0000 0.0160
232.8533 -4.1673 0.0000 -0.0179
79.1470 -0.3986 0.0000 0.0000 -0.0050
129.7726 1.1684 0.0000 0.0000 0.0090
653.9848 0.0080 0.0000
512.6720 10.2718 0.0000 0.0000 0.0200
61.1102 0.1307 0.0000 0.0021238.5204 -4.3911 0.0000 0.0000 -0.0184
354.7194 -5.9925 0.0000 0.0000 -0.0169
1167.0219 0.0189 0.0000
303.2400 7.4020 0.0000 0.0000 0.0244
194.1115 -2.8052 0.0000 -0.0145
260.8520 -5.3348 0.0000 -0.0205
105.9820 0.7521 0.0000 0.0000 0.0071
864.1855 0.0142 0.0000
8/16/2019 3Método de Cross Para Redes Cerradas HW
75/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
76/160
H m! a&'"'(N-) a&"&'"'(N-) Otro% Circuito%8.2118 462.5389 8.2118 0.0000
12.3263 494.1846 12.3263 0.0000 0.0000
-0.7050 102.8721 -0.7050 0.0000 0.0000
-19.8283 614.9031 -19.8283 0.0000
0.0048 1674.4987 0.0048 0.0000
2.2580 175.6831 2.2580 0.0000 0.0000-0.6368 98.1700 -0.6368 0.0000 0.0000
-1.1654 129.6190 -1.1654 0.0000 0.0000
-0.4525 83.9042 -0.4525 0.0000
0.0033 487.3762 0.0033 0.0000
14.3376 597.6200 14.3376 0.0000 0.0000
13.8670 521.6823 13.8670 0.0000 0.0000
-3.3599 210.9028 -3.3599 0.0000 0.0000
-24.8164 681.7277 -24.8164 0.0000
0.0283 2011.9328 0.0283 0.0000
6.0712 276.8304 6.0712 0.0000 0.0000
-0.7169 103.6665 -0.7169 0.0000 0.0000
-5.3443 261.0673 -5.3443 0.0000
-0.0050 10.5387 -0.0050 0.0000
0.0050 652.1029 0.0050 0.0000
5.1590 373.5404 5.1590 0.0000
7.2732 387.7540 7.2732 0.0000 0.0000
-1.0010 120.8628 -1.0010 0.0000 0.0000
-11.4272 477.2727 -11.4272 0.0000 0.0000
0.0041 1359.4300 0.0041 0.0000
2.7445 192.1720 2.7445 0.0000 0.0000
-2.3073 177.4367 -2.3073 0.0000 0.0000
-0.5383 90.8742 -0.5383 0.0000 0.0000
0.1079 43.4092 0.1079 0.0000 0.0000
0.0068 503.8921 0.0068 0.0000
" m!
=−Δ (∑_1^ ▒( _ | _ |^( −1 ) _ ) )/( ∑_1^ ▒( _ | _ |^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
77/160
11.1301 531.9400 11.1301 0.0000 0.0000
6.6604 372.3778 6.6604 0.0000 0.0000
-4.8510 249.6974 -4.8510 0.0000 0.0000
-12.9169 504.9331 -12.9169 0.0000 0.0000
0.0227 1658.9483 0.0227 0.0000
7.9834 313.9675 7.9834 0.0000 0.0000
-1.7201 155.0257 -1.7201 0.0000 0.0000
-6.3953 283.5293 -6.3953 0.0000
0.1449 49.7036 0.1449 0.0000 0.0000
0.0129 802.2261 0.0129 0.0000
6.8161 424.5740 6.8161 0.0000
1.1900 168.6985 1.1900 0.0000
-1.4302 142.4109 -1.4302 0.0000 0.0000
-6.5718 370.0905 -6.5718 0.0000 0.00000.0042 1105.7740 0.0042 0.0000
3.4036 212.1587 3.4036 0.0000 0.0000
-4.1702 232.9263 -4.1702 0.0000
-0.3983 79.1179 -0.3983 0.0000 0.0000
1.1684 129.7733 1.1684 0.0000 0.0000
0.0036 653.9762 0.0036 0.0000
10.2697 512.6247 10.2697 0.0000 0.0000
0.1297 60.8971 0.1297 0.0000-4.3910 238.5189 -4.3910 0.0000 0.0000
-5.9876 354.5852 -5.9876 0.0000 0.0000
0.0209 1166.6258 0.0209 0.0000
7.4019 303.2387 7.4019 0.0000 0.0000
-2.8084 194.2131 -2.8084 0.0000
-5.3390 260.9485 -5.3390 0.0000
0.7519 105.9686 0.7519 0.0000 0.0000
0.0065 864.3690 0.0065 0.0000
8/16/2019 3Método de Cross Para Redes Cerradas HW
78/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
79/160
21
" m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0178 8.2105 462.5044 8.2105 0.0000
0.0249 12.3263 494.1856 12.3263 0.0000
-0.0069 -0.7046 102.8450 -0.7046 0.0000
-0.0322 -19.8301 614.9284 -19.8301 0.0000
0.0022 1674.4634 0.0022 0.0000
0.0129 2.2573 175.6584 2.2573 0.0000-0.0065 -0.6361 98.1230 -0.6361 0.0000
-0.0090 -1.1645 129.5709 -1.1645 0.0000
-0.0054 -0.4531 83.9529 -0.4531 0.0000
0.0037 487.3052 0.0037 0.0000
0.0240 14.3333 597.5368 14.3333 0.0000
0.0266 13.8668 521.6785 13.8668 0.0000
-0.0159 -3.3613 210.9415 -3.3613 0.0000
-0.0364 -24.8260 681.8488 -24.8260 0.0000
0.0128 2012.0057 0.0128 0.0000
0.0219 6.0730 276.8672 6.0730 0.0000
-0.0069 -0.7160 103.6092 -0.7160 0.0000
-0.0205 -5.3463 261.1126 -5.3463 0.0000
-0.0005 -0.0050 10.6180 -0.0050 0.0000
0.0056 652.2071 0.0056 0.0000
0.0138 5.1579 373.5032 5.1579 0.0000
0.0188 7.2735 387.7616 7.2735 0.0000
-0.0083 -0.9997 120.7919 -0.9997 0.0000
-0.0239 -11.4272 477.2737 -11.4272 0.0000
0.0045 1359.3304 0.0045 0.0000
0.0143 2.7425 192.1066 2.7425 0.0000
-0.0130 -2.3088 177.4872 -2.3088 0.0000
-0.0059 -0.5383 90.8735 -0.5383 0.0000
0.0025 0.1076 43.3550 0.1076 0.0000
0.0031 503.8224 0.0031 0.0000
" m!
_ = _ _ ̂
=−Δ (∑_1^ ▒( _ | _ | _ ) )/( ∑_1^ ▒( _ | _ ^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
80/160
0.0209 11.1300 531.9389 11.1300 0.0000
0.0179 6.6620 372.4183 6.6620 0.0000
-0.0194 -4.8504 249.6834 -4.8504 0.0000
-0.0256 -12.9166 504.9294 -12.9166 0.0000
0.0250 1658.9700 0.0250 0.0000
0.0254 7.9827 313.9540 7.9827 0.0000
-0.0111 -1.7215 155.0807 -1.7215 0.0000
-0.0226 -6.3998 283.6219 -6.3998 0.0000
0.0029 0.1445 49.6385 0.1445 0.0000
0.0058 802.2951 0.0058 0.0000
0.0161 6.8145 424.5279 6.8145 0.0000
0.0071 1.1894 168.6568 1.1894 0.0000
-0.0100 -1.4299 142.3997 -1.4299 0.0000
-0.0178 -6.5720 370.0982 -6.5720 0.00000.0019 1105.6825 0.0019 0.0000
0.0160 3.4032 212.1481 3.4032 0.0000
-0.0179 -4.1714 232.9594 -4.1714 0.0000
-0.0050 -0.3973 79.0285 -0.3973 0.0000
0.0090 1.1695 129.8266 1.1695 0.0000
0.0040 653.9626 0.0040 0.0000
0.0200 10.2634 512.4792 10.2634 0.0000
0.0021 0.1286 60.6619 0.1286 0.0000-0.0184 -4.3935 238.5810 -4.3935 0.0000
-0.0169 -5.9891 354.6260 -5.9891 0.0000
0.0095 1166.3481 0.0095 0.0000
0.0244 7.4051 303.2982 7.4051 0.0000
-0.0145 -2.8098 194.2592 -2.8098 0.0000
-0.0205 -5.3410 260.9923 -5.3410 0.0000
0.0071 0.7528 106.0274 0.7528 0.0000
0.0071 864.5771 0.0071 0.0000
8/16/2019 3Método de Cross Para Redes Cerradas HW
81/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
82/160
22
Otro% Circuito% " m#$%! H m! a&'"'(N-) a&"&'"'(N-)0.0178 8.2099 462.4888 8.2099
0.0000 0.0249 12.3273 494.2038 12.3273
0.0000 -0.0068 -0.7039 102.8021 -0.7039
-0.0322 -19.8309 614.9398 -19.8309
0.0024 1674.4345 0.0024
0.0000 0.0128 2.2562 175.6193 2.25620.0000 -0.0065 -0.6362 98.1326 -0.6362
0.0000 -0.0090 -1.1646 129.5785 -1.1646
-0.0054 -0.4537 84.0066 -0.4537
0.0017 487.3370 0.0017
0.0000 0.0240 14.3339 597.5499 14.3339
0.0000 0.0266 13.8713 521.7569 13.8713
0.0000 -0.0159 -3.3608 210.9285 -3.3608
-0.0364 -24.8303 681.9037 -24.8303
0.0141 2012.1390 0.0141
0.0000 0.0219 6.0724 276.8548 6.0724
0.0000 -0.0069 -0.7161 103.6179 -0.7161
-0.0205 -5.3486 261.1625 -5.3486
-0.0005 -0.0051 10.7055 -0.0051
0.0025 652.3407 0.0025
0.0138 5.1567 373.4621 5.1567
0.0000 0.0188 7.2729 387.7465 7.2729
0.0000 -0.0083 -0.9993 120.7729 -0.9993
0.0000 -0.0239 -11.4282 477.2921 -11.4282
0.0020 1359.2736 0.0020
0.0000 0.0143 2.7420 192.0890 2.7420
0.0000 -0.0130 -2.3088 177.4875 -2.3088
0.0000 -0.0059 -0.5375 90.8106 -0.5375
0.0000 0.0025 0.1077 43.3661 0.1077
0.0034 503.7532 0.0034
( −1 )|
=−Δ (∑_1^ ▒ _ ) )/( ∑_1^^( −1 ) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
83/160
0.0000 0.0209 11.1253 531.8347 11.1253
0.0000 0.0179 6.6594 372.3518 6.6594
0.0000 -0.0194 -4.8523 249.7294 -4.8523
0.0000 -0.0256 -12.9210 505.0082 -12.9210
0.0113 1658.9241 0.0113
0.0000 0.0254 7.9851 313.9983 7.9851
0.0000 -0.0111 -1.7213 155.0744 -1.7213
-0.0226 -6.4019 283.6638 -6.4019
0.0000 0.0029 0.1445 49.6483 0.1445
0.0064 802.3849 0.0064
0.0161 6.8138 424.5070 6.8138
0.0071 1.1891 168.6380 1.1891
0.0000 -0.0100 -1.4293 142.3712 -1.4293
0.0000 -0.0178 -6.5715 370.0830 -6.57150.0021 1105.5991 0.0021
0.0000 0.0160 3.4023 212.1216 3.4023
-0.0179 -4.1729 232.9958 -4.1729
0.0000 -0.0050 -0.3971 79.0139 -0.3971
0.0000 0.0090 1.1695 129.8269 1.1695
0.0018 653.9582 0.0018
0.0000 0.0200 10.2624 512.4554 10.2624
0.0021 0.1282 60.5552 0.12820.0000 -0.0184 -4.3935 238.5802 -4.3935
0.0000 -0.0169 -5.9866 354.5589 -5.9866
0.0104 1166.1498 0.0104
0.0000 0.0244 7.4050 303.2974 7.4050
-0.0145 -2.8114 194.3101 -2.8114
-0.0205 -5.3431 261.0407 -5.3431
0.0000 0.0071 0.7527 106.0207 0.7527
0.0032 864.6689 0.0032
8/16/2019 3Método de Cross Para Redes Cerradas HW
84/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
85/160
23
Otro% Circuito% " m#$%! H m! a&'"'(N-)0.0000 0.0178 8.2092 462.4716
0.0000 0.0000 0.0249 12.3273 494.2043
0.0000 0.0000 -0.0068 -0.7037 102.7886
0.0000 -0.0322 -19.8317 614.9524
0.0000 0.0011 1674.4169
0.0000 0.0000 0.0128 2.2559 175.60700.0000 0.0000 -0.0065 -0.6359 98.1092
0.0000 0.0000 -0.0090 -1.1642 129.5544
0.0000 -0.0054 -0.4540 84.0309
0.0000 0.0018 487.3015
0.0000 0.0000 0.0240 14.3318 597.5083
0.0000 0.0000 0.0266 13.8712 521.7550
0.0000 0.0000 -0.0159 -3.3615 210.9478
0.0000 -0.0364 -24.8351 681.9642
0.0000 0.0064 2012.1754
0.0000 0.0000 0.0219 6.0732 276.8732
0.0000 0.0000 -0.0069 -0.7157 103.5892
0.0000 -0.0205 -5.3496 261.1851
0.0000 -0.0005 -0.0052 10.7450
0.0000 0.0028 652.3926
0.0000 0.0138 5.1561 373.4436
0.0000 0.0000 0.0188 7.2730 387.7503
0.0000 0.0000 -0.0083 -0.9987 120.7375
0.0000 0.0000 -0.0239 -11.4282 477.2926
0.0000 0.0022 1359.2239
0.0000 0.0000 0.0143 2.7410 192.0564
0.0000 0.0000 -0.0130 -2.3095 177.5127
0.0000 0.0000 -0.0059 -0.5375 90.8102
0.0000 0.0000 0.0025 0.1075 43.3390
0.0000 0.0015 503.7184
" m!
_ = _ _ ̂
_ | _ |^( −1 ) ▒( _ | _ |
=Δ _ )^(
8/16/2019 3Método de Cross Para Redes Cerradas HW
86/160
0.0000 0.0000 0.0209 11.1253 531.8340
0.0000 0.0000 0.0179 6.6602 372.3721
0.0000 0.0000 -0.0194 -4.8521 249.7224
0.0000 0.0000 -0.0256 -12.9209 505.0063
0.0000 0.0125 1658.9348
0.0000 0.0000 0.0254 7.9847 313.9915
0.0000 0.0000 -0.0111 -1.7220 155.1019
0.0000 -0.0226 -6.4042 283.7101
0.0000 0.0000 0.0029 0.1443 49.6157
0.0000 0.0029 802.4193
0.0000 0.0161 6.8130 424.4840
0.0000 0.0071 1.1888 168.6172
0.0000 0.0000 -0.0100 -1.4292 142.3655
0.0000 0.0000 -0.0178 -6.5716 370.08680.0000 0.0009 1105.5535
0.0000 0.0000 0.0160 3.4021 212.1163
0.0000 -0.0179 -4.1735 233.0122
0.0000 0.0000 -0.0050 -0.3966 78.9692
0.0000 0.0000 0.0090 1.1700 129.8535
0.0000 0.0020 653.9513
0.0000 0.0000 0.0200 10.2592 512.3826
0.0000 0.0021 0.1276 60.43760.0000 0.0000 -0.0184 -4.3947 238.6112
0.0000 0.0000 -0.0169 -5.9874 354.5794
0.0000 0.0047 1166.0109
0.0000 0.0000 0.0244 7.4066 303.3272
0.0000 -0.0145 -2.8121 194.3332
0.0000 -0.0205 -5.3441 261.0625
0.0000 0.0000 0.0071 0.7532 106.0500
0.0000 0.0036 864.7729
8/16/2019 3Método de Cross Para Redes Cerradas HW
87/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
88/160
24
a&"&'"'(N-) Otro% Circuito% " m#$%! H m!8.2092 0.0000 0.0178 8.2089
12.3273 0.0000 0.0000 0.0249 12.3278
-0.7037 0.0000 0.0000 -0.0068 -0.7034
-19.8317 0.0000 -0.0322 -19.8321
0.0011 0.0000 0.0012
2.2559 0.0000 0.0000 0.0128 2.2554-0.6359 0.0000 0.0000 -0.0065 -0.6360
-1.1642 0.0000 0.0000 -0.0090 -1.1642
-0.4540 0.0000 -0.0054 -0.4543
0.0018 0.0000 0.0008
14.3318 0.0000 0.0000 0.0240 14.3321
13.8712 0.0000 0.0000 0.0266 13.8735
-3.3615 0.0000 0.0000 -0.0159 -3.3612
-24.8351 0.0000 -0.0364 -24.8373
0.0064 0.0000 0.0071
6.0732 0.0000 0.0000 0.0219 6.0729
-0.7157 0.0000 0.0000 -0.0069 -0.7158
-5.3496 0.0000 -0.0205 -5.3507
-0.0052 0.0000 -0.0005 -0.0052
0.0028 0.0000 0.0013
5.1561 0.0000 0.0138 5.1555
7.2730 0.0000 0.0000 0.0188 7.2727
-0.9987 0.0000 0.0000 -0.0083 -0.9985
-11.4282 0.0000 0.0000 -0.0239 -11.4287
0.0022 0.0000 0.0010
2.7410 0.0000 0.0000 0.0143 2.7407
-2.3095 0.0000 0.0000 -0.0130 -2.3095
-0.5375 0.0000 0.0000 -0.0059 -0.5371
0.1075 0.0000 0.0000 0.0025 0.1076
0.0015 0.0000 0.0017
" m!
(∑_1^ ▒( _ | _ |^( −1 ))/( ∑_1^ ▒( _ | _ |1) ) )
8/16/2019 3Método de Cross Para Redes Cerradas HW
89/160
11.1253 0.0000 0.0000 0.0209 11.1229
6.6602 0.0000 0.0000 0.0179 6.6589
-4.8521 0.0000 0.0000 -0.0194 -4.8530
-12.9209 0.0000 0.0000 -0.0256 -12.9231
0.0125 0.0000 0.0057
7.9847 0.0000 0.0000 0.0254 7.9860
-1.7220 0.0000 0.0000 -0.0111 -1.7219
-6.4042 0.0000 -0.0226 -6.4052
0.1443 0.0000 0.0000 0.0029 0.1444
0.0029 0.0000 0.0032
6.8130 0.0000 0.0160 6.8126
1.1888 0.0000 0.0070 1.1886
-1.4292 0.0000 0.0000 -0.0100 -1.4289
-6.5716 0.0000 0.0000 -0.0178 -6.57130.0009 0.0000 0.0010
3.4021 0.0000 0.0000 0.0160 3.4016
-4.1735 0.0000 -0.0179 -4.1742
-0.3966 0.0000 0.0000 -0.0050 -0.3965
1.1700 0.0000 0.0000 0.0090 1.1700
0.0020 0.0000 0.0009
10.2592 0.0000 0.0000 0.0200 10.2587
0.1276 0.0000 0.0021 0.1274-4.3947 0.0000 0.0000 -0.0184 -4.3947
-5.9874 0.0000 0.0000 -0.0169 -5.9861
0.0047 0.0000 0.0052
7.4066 0.0000 0.0000 0.0244 7.4066
-2.8121 0.0000 -0.0145 -2.8129
-5.3441 0.0000 -0.0205 -5.3452
0.7532 0.0000 0.0000 0.0071 0.7531
0.0036 0.0000 0.0016
8/16/2019 3Método de Cross Para Redes Cerradas HW
90/160
8/16/2019 3Método de Cross Para Redes Cerradas HW
91/160
25
a&'"'(N-) a&"&'"'(N-) Otro% Circuito% " m#$%!462.4638 8.2089 0.0000 0.0178
494.2134 12.3278 0.0000 0.0000 0.0249
102.7672 -0.7034 0.0000 0.0000 -0.0068
614.9581 -19.8321 0.0000 -0.0322
1674.4025 0.0012 0.0000
175.5875 2.2554 0.0000 0.0000 0.012898.1139 -0.6360 0.0000 0.0000 -0.0065
129.5582 -1.1642 0.0000 0.0000 -0.0090
84.0577 -0.4543 0.0000 -0.0054
487.3173 0.0008 0.0000
597.5148 14.3321 0.0000 0.0000 0.0240
521.7942 13.8735 0.0000 0.0000 0.0266
210.9412 -3.3612 0.0000 0.0000 -0.0159
681.9916 -24.8373 0.0000 -0.0364
2012.2419 0.0071 0.0000
276.8670 6.0729 0.0000 0.0000 0.0219
103.5936 -0.7158 0.0000 0.0000 -0.0069
261.2101 -5.3507 0.0000 -0.0205
10.7886 -0.0052 0.0000 -0.0005
652.4592 0.0013 0.0000
373.4231 5.1555 0.0000 0.0138
387.7428 7.2727 0.0000 0.0000 0.0188
120.
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