método de cross para redes cerradasl

8
7/25/2019 Método de Cross Para Redes Cerradasl http://slidepdf.com/reader/full/metodo-de-cross-para-redes-cerradasl 1/8 MÉTODO DE HARDY CROSS PARA EL BALANCE DE PÉRDIDAS ECUACIÓN DE HAZEN-WILLIAMS CHW  130 para acero N  1.851 Circuito Trao D !" L !" a # !$%&" H !" a'(#()N-1 a'#'(#()N-1 I 1-2 0.200 1000  3280.61  0.02 2.3505 117.53 2.3505 -0.0038 2-4 0.150 800  10647.86 0.011 2.5228 229.34 2.5228 -0.0038 3-4 0.125 500  16166.16  -0.01 -3.2108 321.08 -3.2108 -0.0038 3-1 0.200 800  2624.49  0.03 3.9829 132.76 3.9829 -0.0038 5.6454 800.7068 5.6454 -0.0152 II 4-6 0.125 500  16166.16 0.006 1.2473 207.88 1.2473 0.0014 6-5 0.125 500  16166.16 -0.014 -5.9854 427.53 -5.9854 0.0014 5-3 0.150 500  6654.91  -0.01 -1.3217 132.17 -1.3217 0.0014 4-3 0.125 500  16166.16  0.01 3.2108 321.08 3.2108 0.0014 -2.8490 1088.6540 -2.8490 0.0057 H !" a'(#()N-1 a'#'(#()N-1 # !" 3.0316  132.11 3.0316 0.0000 3.9150  280.69 3.9150 0.0000 -3.6576  340.90 -3.6576 0.0000 -3.2890  121.58 -3.2890 0.0000 0.0000 875.2806 0.0000 0.0000 3.0214  312.23 3.0214 0.0000 -3.4054  329.88 -3.4054 0.0000 -3.2737  200.56 -3.2737 0.0000 3.6576  340.90 3.6576 0.0000 0.0000 1183.5638 0.0000 0.0000  # !" a_ij=L_ij/(0.279C_Hij D_ij^2.63 ^! #"=-($_1^%&(a_ij '"_ij '^ "_ij /(!$_1^%&(a_ij '"_i 1

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Page 1: Método de Cross Para Redes Cerradasl

7/25/2019 Método de Cross Para Redes Cerradasl

http://slidepdf.com/reader/full/metodo-de-cross-para-redes-cerradasl 1/8

MÉTODO DE HARDY CROSS PARA EL BALANCE DE PÉRDIDASECUACIÓN DE HAZEN-WILLIAMS

CHW   130 para acero

N   1.851

Circuito Trao D !" L !" a # !$%&" H !" a'(#()N-1 a'#'(#()N-1I 1-2 0.200 1000   3280.61   0.02 2.3505 117.53 2.3505 -0.0038

2-4 0.150 800   10647.86   0.011 2.5228 229.34 2.5228 -0.0038

3-4 0.125 500   16166.16   -0.01 -3.2108 321.08 -3.2108 -0.0038

3-1 0.200 800   2624.49   0.03 3.9829 132.76 3.9829 -0.0038

5.6454 800.7068 5.6454 -0.0152

II 4-6 0.125 500   16166.16   0.006 1.2473 207.88 1.2473 0.0014

6-5 0.125 500   16166.16   -0.014 -5.9854 427.53 -5.9854 0.0014

5-3 0.150 500   6654.91   -0.01 -1.3217 132.17 -1.3217 0.0014

4-3 0.125 500   16166.16   0.01 3.2108 321.08 3.2108 0.0014

-2.8490 1088.6540 -2.8490 0.0057

H !" a'(#()N-1 a'#'(#()N-1 # !"3.0316   132.11 3.0316 0.0000

3.9150   280.69 3.9150 0.0000

-3.6576   340.90 -3.6576 0.0000

-3.2890   121.58 -3.2890 0.0000

0.0000 875.2806 0.0000 0.0000

3.0214   312.23 3.0214 0.0000

-3.4054   329.88 -3.4054 0.0000

-3.2737   200.56 -3.2737 0.0000

3.6576   340.90 3.6576 0.0000

0.0000 1183.5638 0.0000 0.0000

 # !"

a_ij=L_ij/(0.279C_HijD_ij^2.63 ^!

#"=-($_1^%&(a_ij '"_ij '^"_ij /(!$_1^%&(a_ij '"_i1

Page 2: Método de Cross Para Redes Cerradasl

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Otro& Circuito&

0.0013

-0.0007

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$H !" a'(#()N-1 a'#'(#()N-1 Otro& Circuito& # !$%&" H !" a'1.7279 102.02 1.7279 -0.0007 0.0163 1.6006

1.3788 173.72 1.3788 -0.0007 0.0073 1.1664

-5.3506 406.05 -5.3506 -0.0007 -0.0003 -0.0141 -6.0767

3.2629 121.13 3.2629 -0.0007 0.0263 3.1109

1.0189 802.9244 1.0189 -0.1988 8

1.2915 211.23 1.2915 0.0003 0.0064 1.3918

-5.8955 424.56 -5.8955 0.0003 -0.0136 -5.6989

-1.2940 130.89 -1.2940 0.0003 -0.0096 -1.2336

5.3506 406.05 5.3506 0.0003 0.0007 0.0141 6.0767

-0.5474 1172.7381 -0.5474 0.5361 11

 # !"  

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,a'#'(#()N-1 Otro& Circuito& # !$%&" H !" a'(#()N-1 a'#'(#()N-1

1.6249 -0.0001 0.0163 1.6015 98.52 1.6015

1.2063 -0.0001 0.0073 1.1679 160.96 1.1679

-5.7812 -0.0001 0.0000 -0.0139 -5.9181 425.31 -5.9181

3.1401 -0.0001 0.0263 3.1119 118.52 3.1119

0.1902 -0.0005 -0.0368 803.3085 -0.0368

1.2953 0.0000 0.0062 1.3137 212.90 1.3137

-5.8878 0.0000 -0.0138 -5.8511 423.09 -5.8511

-1.2916 0.0000 -0.0098 -1.2803 130.25 -1.2803

5.7812 0.0000 0.0001 0.0139 5.9181 425.31 5.9181

-0.1029 0.0002 0.1005 1191.5492 0.1005

 # !"  

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.Otro& Circuito& # !$%&" H !" a'(#()N-1 a'#'(#()N-1 Otro& Circuito&

0.0163 1.6016 98.52 1.6016 0.0000

0.0073 1.1681 160.97 1.1681 0.0000

0.0000 -0.0139 -5.8887 424.34 -5.8887 0.0000 0.0000

0.0263 3.1121 118.53 3.1121 0.0000

-0.0069 802.3536 -0.0069 0.0000

0.0061 1.2993 211.82 1.2993 0.0000

-0.0139 -5.8799 424.04 -5.8799 0.0000

-0.0099 -1.2892 130.67 -1.2892 0.0000

0.0000 0.0139 5.8887 424.34 5.8887 0.0000 0.0000

0.0189 1190.8674 0.0189 0.0000

 # !"

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1H !" a'(#()N-1 a'#'(#()N-1 Otro& Circuito& # !$%&" H !" a1.6017 98.52 1.6017 0.0000 0.0163 1.6018

1.1681 160.97 1.1681 0.0000 0.0073 1.1684

-5.8832 424.15 -5.8832 0.0000 0.0000 -0.0139 -5.8812

3.1121 118.53 3.1121 0.0000 0.0263 3.1123

-0.0013 802.1738 -0.0013 0.0000 0.0013

1.2966 211.62 1.2966 0.0000 0.0061 1.2959

-5.8853 424.22 -5.8853 0.0000 -0.0139 -5.8866

-1.2908 130.74 -1.2908 0.0000 -0.0099 -1.2912

5.8832 424.15 5.8832 0.0000 0.0000 0.0139 5.8812

0.0036 1190.7390 0.0036 0.0000 -0.0007 1

 # !"  

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1*a'#'(#()N-1 Otro& Circuito& # !$%&" H !" a'(#()N-1 a'#'(#()N-1

1.6017 0.0000 0.0163 1.6017 98.52 1.6017

1.1681 0.0000 0.0073 1.1681 160.97 1.1681

-5.8821 0.0000 0.0000 -0.0139 -5.8817 424.11 -5.8817

3.1121 0.0000 0.0263 3.1121 118.53 3.1121

-0.0002 0.0000 0.0002 802.1323 0.0002

1.2960 0.0000 0.0061 1.2959 211.57 1.2959

-5.8863 0.0000 -0.0139 -5.8866 424.27 -5.8866

-1.2912 0.0000 -0.0099 -1.2912 130.76 -1.2912

5.8821 0.0000 0.0000 0.0139 5.8817 424.11 5.8817

0.0007 0.0000 -0.0001 1190.7050 -0.0001

 # !"  

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Otro& Circuito&

0.0000

0.0000