9 Nodos Javier Alfaro

8/16/2019 9 Nodos Javier Alfaro

1/24

1 2 3 4 5 6

1 0 -8.267 0 0 0 0 0 8.267 0 0 0 0

2 0 0 0 -7.619 0 0 0 0 0 0 0 0

3 0 0 0 0 0 -8.126 0 0 0 0 0 8.126

4 0 8.267 0 0 0 0 1.575 -18.72 -0.925 5.005 0 0

5 0 0 0 0 0 0 -0.925 5.005 1.535 -7.543 -0.61 2.661

6 0 0 0 0 0 8.126 0 0 -0.61 2.661 1.16 -15.317 0 0 0 0 0 0 0 0 0 0 -0.55 4.659

8 0 0 0 7.619 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 -0.65 5.526 0 0 0 0

Slack PV P

Nodo 1 Nodo 2 Nodo 3 Nodo 4 Nodo 5 Nodo 6

V1 1 P2 0.776 P3 0.048 P4 0 P5 -0.429 P6 0

θ1 0 V2 1 V3 1 Q4 0 Q5 -0.143 Q6 0

Interacion "0"

X^0 Ecu. de fuo! de "o#e$c%a P-Q P%&X'-θ2 0 P&X'2 0 P2 0.776 P&X'2

θ3 0 P&X'3 ((( P3 0.048 P&X'3

θ4 0 P&X'4 ((( P4 0 P&X'4

θ5 0 P&X'5 ((( P5 -0.429 P&X'5

θ6 0 P&X'6 ((( P6 0 P&X'6

θ7 0 P&X'7 ((( P7 -0.476 P&X'7

θ8 0 P&X'8 ((( P8 0 P&X'8

θ9 0 P&X'9 ((( P9 -0.6 P&X'9

V4 1 Q&X'4 ((( Q4 0 Q&X'4

V5 1 Q&X'5 ((( Q5 -0.14 Q&X'5V6 1 Q&X'6 ((( Q6 0 Q&X'6

V7 1 Q&X'7 ((( Q7 -0.167 Q&X'7

V8 1 Q&X'8 ((( Q8 0 Q&X'8

V9 1 Q&X'9 ((( Q9 -0.238 Q&X'9

)aco*%a$a

1 2 3 4 5 6 7 8 9 10 11 12

1 8.267 0 0 0 0 0 -7.619 0 0 0 0 0

2 0 8.126 0 0 -8.126 0 0 0 0 0 0 0

3 0 0 18.64 -5.005 0 0 0 -5.526 1.575 -0.925 0 04 0 0 -5.005 7.666 -2.661 0 0 0 -0.925 1.535 -0.61 0

5 0 -8.126 0 -2.661 15.45 -4.659 0 0 0 -0.61 1.16 -0.55

6 0 0 0 0 -4.659 11.18 -6.523 0 0 0 -0.55 1.32

7 -7.619 0 0 0 0 -6.523 16.77 -2.845 0 0 0 -0.77

8 0 0 -5.526 0 0 0 -2.845 -1.101 -0.65 0 0 0

9 0 0 -1.575 0.925 0 0 0 0.65 18.64 -5.005 0 0

10 0 0 0.925 -1.535 0.61 0 0 0 -5.005 7.42 -2.661 0

11 0 0 0 0.61 -1.16 0.55 0 0 0 -2.661 15.17 -4.659


2/24

12 0 0 0 0 0.55 -1.32 0.77 0 0 0 -4.659 11.01

13 0 0 0 0 0 0.77 -1.336 0.566 0 0 0 -6.523

14 0 0 0.65 0 0 0 0.566 -1.216 -5.526 0 0 0

+$,e!a de la )aco*%a$a

1 2 3 4 5 6 7 8 9 10 11 12

1 0.228 0.055 -0.04 -0.007 0.055 0.09 0.116 -0.127 0.008 0.006 0 02 0.055 0.376 -0.013 0.08 0.253 0.14 0.059 -0.114 0.011 0.006 -0.011 0

3 -0.04 -0.013 0.035 0.019 -0.013 -0.031 -0.043 -0.077 0 0 0.001 0.001

4 -0.007 0.08 0.019 0.165 0.08 0.029 -0.007 -0.09 0.001 -0.025 0 0

5 0.055 0.253 -0.013 0.08 0.253 0.14 0.059 -0.114 0.011 0.006 -0.011 0

6 0.09 0.14 -0.031 0.029 0.14 0.204 0.098 -0.128 0.01 0.006 -0.006 -0.015

7 0.116 0.059 -0.043 -0.007 0.059 0.098 0.126 -0.138 0.009 0.006 0 0

8 -0.127 -0.114 -0.077 -0.09 -0.114 -0.128 -0.138 -0.177 0 0 0.001 0.001

9 -0.008 -0.011 0.002 0 -0.011 -0.01 -0.009 0.001 0.092 0.068 0.018 0.019

10 -0.006 -0.006 0.002 0.025 -0.006 -0.006 -0.006 0.001 0.068 0.191 0.045 0.032

11 0.002 0.011 0 0.003 0.011 0.006 0.002 0 0.018 0.045 0.089 0.05212 0.004 0.004 0 0 0.004 0.015 0.005 0 0.019 0.032 0.052 0.15

13 0.006 0 0 0 0 0.004 0.007 0 0.019 0.022 0.024 0.065

14 -0.027 -0.028 -0.011 -0.016 -0.028 -0.029 -0.029 -0.01 0.069 0.054 0.021 0.036


3/24

7 8 9 "2θ2 "2θ3 "2θ4 "2θ5 "2θ6

0 0 0 0 0 0 "3θ2 "3θ3 "3θ4 "3θ5 "3θ6

0 0 0 7.619 0 0 "4θ2 "4θ3 "4θ4 "4θ5 "4θ6

0 0 0 0 0 0 "5θ2 "5θ3 "5θ4 "5θ5 "5θ6

0 0 0 0 -0.65 5.526 "6θ2 "6θ3 "6θ4 "6θ5 "6θ6

0 0 0 0 0 0 "7θ2 "7θ3 "7θ4 "7θ5 "7θ6

-0.55 4.659 0 0 0 0 "8θ2 "8θ3 "8θ4 "8θ5 "8θ61.32 -11.1 -0.77 6.523 0 0 "9θ2 "9θ3 "9θ4 "9θ5 "9θ6

-0.77 6.523 1.336 -16.88 -0.566 2.845 Q4θ2 Q4θ3 Q4θ4 Q4θ5 Q4θ6

0 0 -0.566 2.845 1.216 -8.256 Q5θ2 Q5θ4 Q5θ5 Q5θ6

Q6θ2 Q6θ3 Q6θ4 Q6θ5 Q6θ6


Nodo 7 Nodo 8 Nodo 9 Q8θ2 Q8θ3 Q8θ4 Q8θ5 Q8θ6

P7 -0.476 P8 0 P9 -0.595 Q9θ2 Q9θ3 Q9θ4 Q9θ5 Q9θ6

Q7 -0.167 Q8 0 Q9 -0.238

1/1 8.2672 2/1 0 3/1

Q%&X' P-Q ,aloe! de!co$oc%do! 1/2 0 2/2 8.1261 3/20 0.776 Q2 ((( 1/3 0 2/3 0 3/3

0 0.048 Q3 ((( 1/4 0 2/4 0 3/4

((( ((( 1/5 0 2/5 -8.1261 3/5

((( ((( X^0 1/6 0 2/6 0 3/6

((( ((( E 1/7 -7.619 2/7 0 3/7

((( ((( θ2 ((( 12.11 1/8 0 2/8 0 3/8

((( ((( θ3 ((( 1.33 1/9 0 2/9 0 3/9

((( ((( θ4 ((( ((( 1/10 0 2/10 0 3/10

((( ((( θ5 ((( ((( 1/11 0 2/11 0 3/11

((( ((( θ6 ((( ((( 1/12 0 2/12 0 3/12((( ((( θ7 ((( ((( 1/13 0 2/13 0 3/13

((( ((( θ8 ((( ((( 1/14 0 2/14 0 3/14

((( ((( θ9 ((( (((

-0.115 -0.123 V4 ((( 0

V5 ((( -0.013 8/1 0 9/1 0 10/1

V6 ((( ((( 8/2 0 9/2 0 10/2

13 14 V7 ((( ((( 8/3 -5.5258 9/3 -1.5749 10/3

0 0 V8 ((( ((( 8/4 0 9/4 0.9249 10/4

0 0 V9 ((( ((( 8/5 0 9/5 0 10/5

0 -0.65 X^1X^0X^0 8/6 0 9/6 0 10/60 0 E 8/7 -2.8453 9/7 0 10/7

0 0 θ2 0.211 12.11 8/8 -1.1007 9/8 0.6501 10/8

-0.77 0 θ3 0.023 1.33 8/9 -0.6501 9/9 18.639 10/9

1.335 -0.566 θ4 ((( ((( 8/10 0 9/10 -5.0051 10/10

-0.566 1.215 θ5 ((( ((( 8/11 0 9/11 0 10/11

0 -5.526 θ6 ((( ((( 8/12 0 9/12 0 10/12

0 0 θ7 ((( ((( 8/13 -0.5655 9/13 0 10/13

0 0 θ8 ((( ((( 8/14 1.2154 9/14 -5.5258 10/14

Q5θ3


4/24

-6.523 0 θ9 ((( (((

16.77 -2.845 V4 0.998 0.998

-2.845 8.141 V5 0.987 0.987

V6 ((( (((

V7 ((( (((

13 14 V8 ((( (((

-0.006 0.027 V9 ((( (((0.001 0.028

0.002 0.011

0.001 0.016

0.001 0.028

0 0.029

-0.007 0.029

0.001 0.01

0.019 0.069

0.022 0.054

0.024 0.0210.065 0.036

0.092 0.046

0.046 0.184


5/24

"2θ7 "2θ8 "2θ9 "2,4 "2,5 "2,6 "2,7 "2,8 "2,9

"3θ7 "3θ8 "3θ9 "3,4 "3,5 "3,6 "3,7 "3,8 "3,9

"4θ7 "4θ8 "4θ9 "4,4 "4,5 "4,6 "4,7 "4,8 "4,9

"5θ7 "5θ8 "5θ9 "5,4 "5,5 "5,6 "5,7 "5,8 "5,9

"6θ7 "6θ8 "6θ9 "6,4 "6,5 "6,6 "6,7 "6,8 "6,9

"7θ7 "7θ8 "7θ9 "7,4 "7,5 "7,6 "7,7 "7,8 "7,9

"8θ7 "8θ8 "8θ9 "8,4 "8,5 "8,6 "8,7 "8,8 "8,9"9θ7 "9θ8 "9θ9 "9,4 "9,5 "9,6 "9,7 "9,8 "9,9

Q4θ7 Q4θ8 Q4θ9 Q4,4 Q4,5 Q4,6 Q4,7 Q4,8 Q4,9

Q5θ7 Q5θ8 Q5θ9 Q5,4 Q5,5 Q5,6 Q5,7 Q5,8 Q5,9

Q6θ7 Q6θ8 Q6θ9 Q6,4 Q6,5 Q6,6 Q6,7 Q6,8 Q6,9

Q7θ7 Q7θ8 Q7θ9 Q7,4 Q7,5 Q7,6 Q7,7 Q7,8 Q7,9

Q8θ7 Q8θ8 Q8θ9 Q8,4 Q8,5 Q8,6 Q8,7 Q8,8 Q8,9

Q9θ7 Q9θ8 Q9θ9 Q9,4 Q9,5 Q9,6 Q9,7 Q9,8 Q9,9

0 4/1 0 5/1 0 6/1 0 7/1 -7.619

0 4/2 0 5/2 -8.1261 6/2 0 7/2 018.639 4/3 -5.0051 5/3 0 6/3 0 7/3 0

-5.0051 4/4 7.6662 5/4 -2.6611 6/4 0 7/4 0

0 4/5 -2.6611 5/5 15.446 6/5 -4.6592 7/5 0

0 4/6 0 5/6 -4.6592 6/6 11.182 7/6 -6.5228

0 4/7 0 5/7 0 6/7 -6.5228 7/7 16.77

-5.5258 4/8 0 5/8 0 6/8 0 7/8 -2.8453

1.5749 4/9 -0.9249 5/9 0 6/9 0 7/9 0

-0.9249 4/10 1.5353 5/10 -0.6105 6/10 0 7/10 0

0 4/11 -0.6105 5/11 1.1605 6/11 -0.55 7/11 0

0 4/12 0 5/12 -0.55 6/12 1.32 7/12 -0.770 4/13 0 5/13 0 6/13 -0.77 7/13 1.3355

-0.6501 4/14 0 5/14 0 6/14 0 7/14 -0.5655

0 11/1 0 12/1 0 13/1 0 14/1 0

0 11/2 0 12/2 0 13/2 0 14/2 0

0.9249 11/3 0 12/3 0 13/3 0 14/3 0.6501

-1.5353 11/4 0.6105 12/4 0 13/4 0 14/4 0

0.6105 11/5 -1.1605 12/5 0.55 13/5 0 14/5 0

0 11/6 0.55 12/6 -1.32 13/6 0.77 14/6 00 11/7 0 12/7 0.77 13/7 -1.3355 14/7 0.5655

0 11/8 0 12/8 0 13/8 0.5655 14/8 -1.2156

-5.0051 11/9 0 12/9 0 13/9 0 14/9 -5.5258

7.4205 11/10 -2.6611 12/10 0 13/10 0 14/10 0

-2.661111/11 15.17212/11 -4.659213/11 014/11 0

0 11/12 -4.6592 12/12 11.012 13/12 -6.5228 14/12 0

011/13 012/13 -6.5228 13/13 16.77 14/13 -2.8453

0 11/14 0 12/14 0 13/14 -2.8453 14/14 8.1414


6/24


7/24

1 2 3 4 5 6

1 0 -8.267 0 0 0 0 0 8.267 0 0 0 0

2 0 0 0 -7.619 0 0 0 0 0 0 0 0

3 0 0 0 0 0 -8.126 0 0 0 0 0 8.126

4 0 8.267 0 0 0 0 1.575 -18.72 -0.925 5.0051 0 0

5 0 0 0 0 0 0 -0.925 5.005 1.535 -7.543 -0.61 2.6616 0 0 0 0 0 8.126 0 0 -0.61 2.6611 1.16 -15.31

7 0 0 0 0 0 0 0 0 0 0 -0.55 4.659

8 0 0 0 7.619 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 -0.65 5.526 0 0 0 0

Slack PV P


V1 1 P2 0.776 P3 0.048 P4 0 P5 -0.429 P6 0

θ1 0 V2 1 V3 1 Q4 0 Q5 -0.143 Q6 0

Interacion "1"X^1 Ecu. de fuo! de "o#e$c%a P-Q P%&X'-

θ2 0.211 P&X'2 0.643 P2 0.776 P&X'2

θ3 0.023 P&X'3 ((( P3 0.048 P&X'3

θ4 0.02 P&X'4 ((( P4 0 P&X'4

θ5 -0.034 P&X'5 ((( P5 -0.429 P&X'5

θ6 0.017 P&X'6 ((( P6 0 P&X'6

θ7 0.04 P&X'7 ((( P7 -0.476 P&X'7

θ8 0.128 P&X'8 ((( P8 0 P&X'8

θ9 0.1 P&X'9 ((( P9 -0.6 P&X'9

V4 0.998 Q&X'4 ((( Q4 0 Q&X'4V5 0.987 Q&X'5 ((( Q5 -0.14 Q&X'5

V6 1.007 Q&X'6 ((( Q6 0 Q&X'6

V7 0.995 Q&X'7 ((( Q7 -0.167 Q&X'7

V8 1.008 Q&X'8 ((( Q8 0 Q&X'8

V9 0.991 Q&X'9 ((( Q9 -0.238 Q&X'9

)a*o$%a$a

1 2 3 4 5 6 7 8 9 10 11 12

1 8.301 0 0 0 0 0 -7.653 0 0 0 0 0

2 0 8.18 0 0 -8.18 0 0 0 0 0 0.048 03 0 0 18.67 -4.974 0 0 0 -5.395 1.579 -0.653 0 0

4 0 0 -4.876 7.486 -2.61 0 0 0 -1.178 1.0893 -0.738 0

5 0 -8.18 0 -2.673 15.51 -4.653 0 0 0 -0.475 1.168 -0.662

6 0 0 0 0 -4.679 11.13 -6.451 0 0 0 -0.44 0.837

7 -7.653 0 0 0 0 -6.585 17.2 -2.856 0 0 0 -0.201

8 0 0 -5.498 0 0 0 -2.825 -0.975 -0.204 0 0 0


8/24

9 0 0 -1.561 0.645 0 0 0 1.078 18.71 -5.038 0 0

10 0 0 1.176 -1.918 0.742 0 0 0 -4.886 7.3145 -2.593 0

11 0 0.048 0 0.469 -1.176 0.659 0 0 0 -2.707 15.42 -4.676

12 0 0 0 0 0.443 -1.781 1.338 0 0 0 -4.648 10.9

13 0.643 0 0 0 0 0.201 -1.329 0.485 0 0 0 -6.617

14 0 0 0.203 0 0 0 0.644 -0.847 -5.509 0 0 0

+$,e!a de la )a*o$%a$a

1 2 3 4 5 6 7 8 9 10 11 12

1 0.221 0.051 -0.038 -0.006 0.051 0.084 0.108 -0.125 0.012 0.0072 0 -0.012

2 0.05 0.376 -0.01 0.086 0.254 0.14 0.055 -0.112 0.021 0.015 -0.007 0.009

3 -0.04 -0.013 0.035 0.019 -0.013 -0.03 -0.043 -0.079 0.005 0.0045 0.004 0.006

4 -0.009 0.081 0.02 0.173 0.081 0.03 -0.009 -0.09 0.017 -0.005 0.005 0.011

5 0.05 0.254 -0.01 0.086 0.254 0.14 0.055 -0.112 0.022 0.0152 -0.006 0.01

6 0.084 0.139 -0.028 0.033 0.139 0.202 0.092 -0.125 0.019 0.014 0 0

7 0.109 0.056 -0.041 -0.006 0.056 0.092 0.118 -0.135 0.014 0.0096 0 -0.0088 -0.126 -0.117 -0.081 -0.095 -0.117 -0.129 -0.137 -0.19 0.007 0.0055 0.003 0.004

9 0 0 0.009 0.015 0 0 0 0.009 0.092 0.0687 0.018 0.02

10 0 0.003 0.007 0.047 0.003 0.002 0 0.008 0.069 0.1949 0.045 0.033

11 0 0.015 0.002 0.011 0.016 0.0099E-005 0.002 0.019 0.0448 0.088 0.052

12 0 0.017 0.003 0.012 0.017 0.028 0.001 0.003 0.02 0.0325 0.051 0.153

13 0 0.008 0.002 0.007 0.009 0.013 0.004 0.002 0.02 0.0221 0.023 0.065

14 -0.025 -0.014 0.001 0.002 -0.014 -0.016 -0.0246E-005 0.07 0.055 0.021 0.037


9/24

7 8 9 "2θ2 "2θ3 "2θ4 "2θ5 "2θ6

0 0 0 0 0 0 "3θ2 "3θ3 "3θ4 "3θ5 "3θ6

0 0 0 7.619 0 0 "4θ2 "4θ3 "4θ4 "4θ5 "4θ6

0 0 0 0 0 0 "5θ2 "5θ3 "5θ4 "5θ5 "5θ6

0 0 0 0 -0.65 5.526 "6θ2 "6θ3 "6θ4 "6θ5 "6θ6

0 0 0 0 0 0 "7θ2 "7θ3 "7θ4 "7θ5 "7θ6-0.55 4.659 0 0 0 0 "8θ2 "8θ3 "8θ4 "8θ5 "8θ6

1.32 -11.1 -0.77 6.523 0 0 "9θ2 "9θ3 "9θ4 "9θ5 "9θ6

-0.77 6.523 1.336 -16.88 -0.566 2.845 Q4θ2 Q4θ3 Q4θ4 Q4θ5 Q4θ6

0 0 -0.566 2.845 1.216 -8.256 Q5θ2 Q5θ4 Q5θ5 Q5θ6




P7 -0.476 P8 0 P9 -0.595 Q9θ2 Q9θ3 Q9θ4 Q9θ5 Q9θ6

Q7 -0.167 Q8 0 Q9 -0.238

1/1 8.3008 2/1 0 3/1Q%&X' P-Q ,aloe! de!co$oc%do! 1/2 0 2/2 8.1795 3/2

0.643 0.133 Q2 ((( 1/3 0 2/3 0 3/3

0.048 0 Q3 ((( 1/4 0 2/4 0 3/4

((( ((( 1/5 0 2/5 -8.1795 3/5

((( ((( X^1 1/6 0 2/6 0 3/6

((( ((( E 1/7 -7.6526 2/7 0 3/7

((( ((( θ2 ((( 8.258 1/8 0 2/8 0 3/8

((( ((( θ3 ((( 6.147 1/9 0 2/9 0 3/9

((( ((( θ4 ((( ((( 1/10 0 2/10 0 3/10

((( ((( θ5 ((( ((( 1/11 0 2/11 0.0476 3/11((( ((( θ6 ((( ((( 1/12 0 2/12 0 3/12

((( ((( θ7 ((( ((( 1/13 0.6384 2/13 0 3/13

((( ((( θ8 ((( ((( 1/14 0 2/14 0 3/14

((( ((( θ9 ((( (((

-0.218 -0.02 V4 ((( -0.016

V5 ((( -0.015 8/1 0 9/1 0 10/1

V6 ((( ((( 8/2 0 9/2 0 10/2

13 14 V7 ((( ((( 8/3 -5.4976 9/3 -1.5612 10/3

0.638 0 V8 ((( ((( 8/4 0 9/4 0.6445 10/4

0 0 V9 ((( ((( 8/5 0 9/5 0 10/50 -1.088 X^2X^1X^1 8/6 0 9/6 0 10/6

0 0 E 8/7 -2.8245 9/7 0 10/7

0 0 θ2 0.148 8.469 8/8 -0.9751 9/8 1.078 10/8

-1.328 0 θ3 0.108 6.17 8/9 -0.2039 9/9 18.707 10/9

1.373 -0.49 θ4 ((( ((( 8/10 0 9/10 -5.0376 10/10

-0.639 1.553θ5 ((( ((( 8/11 0 9/11 0 10/11

Q5θ3


10/24

0 -5.445 θ6 ((( ((( 8/12 0 9/12 0 10/12

0 0 θ7 ((( ((( 8/13 -0.6387 9/13 0 10/13

0 0 θ8 ((( ((( 8/14 1.5534 9/14 -5.4451 10/14

-6.4 0 θ9 ((( (((

17.07 -2.883 V4 0.982 0.982

-2.802 7.96V5 0.972 0.972V6 ((( (((

V7 ((( (((

13 14 V8 ((( (((

-0.015 0.028V9 ((( (((

0.011 0.043

0.006 0.023

0.01 0.035

0.011 0.043

0.006 0.042

-0.009 0.0350.004 0.024

0.019 0.069

0.022 0.055

0.024 0.021

0.066 0.037

0.092 0.047

0.047 0.189


11/24

"2θ7 "2θ8 "2θ9 "2,4 "2,5 "2,6 "2,7 "2,8 "2,9

"3θ7 "3θ8 "3θ9 "3,4 "3,5 "3,6 "3,7 "3,8 "3,9

"4θ7 "4θ8 "4θ9 "4,4 "4,5 "4,6 "4,7 "4,8 "4,9

"5θ7 "5θ8 "5θ9 "5,4 "5,5 "5,6 "5,7 "5,8 "5,9

"6θ7 "6θ8 "6θ9 "6,4 "6,5 "6,6 "6,7 "6,8 "6,9

"7θ7 "7θ8 "7θ9 "7,4 "7,5 "7,6 "7,7 "7,8 "7,9"8θ7 "8θ8 "8θ9 "8,4 "8,5 "8,6 "8,7 "8,8 "8,9

"9θ7 "9θ8 "9θ9 "9,4 "9,5 "9,6 "9,7 "9,8 "9,9

Q4θ7 Q4θ8 Q4θ9 Q4,4 Q4,5 Q4,6 Q4,7 Q4,8 Q4,9

Q5θ7 Q5θ8 Q5θ9 Q5,4 Q5,5 Q5,6 Q5,7 Q5,8 Q5,9

Q6θ7 Q6θ8 Q6θ9 Q6,4 Q6,5 Q6,6 Q6,7 Q6,8 Q6,9

Q7θ7 Q7θ8 Q7θ9 Q7,4 Q7,5 Q7,6 Q7,7 Q7,8 Q7,9

Q8θ7 Q8θ8 Q8θ9 Q8,4 Q8,5 Q8,6 Q8,7 Q8,8 Q8,9

Q9θ7 Q9θ8 Q9θ9 Q9,4 Q9,5 Q9,6 Q9,7 Q9,8 Q9,9

0 4/1 0 5/1 0 6/1 0 7/1 -7.65260 4/2 0 5/2 -8.1795 6/2 0 7/2 0

18.67 4/3 -4.8758 5/3 0 6/3 0 7/3 0

-4.9739 4/4 7.4857 5/4 -2.6726 6/4 0 7/4 0

0 4/5 -2.6099 5/5 15.505 6/5 -4.6787 7/5 0

0 4/6 0 5/6 -4.6532 6/6 11.13 7/6 -6.5853

0 4/7 0 5/7 0 6/7 -6.451 7/7 17.203

-5.3947 4/8 0 5/8 0 6/8 0 7/8 -2.856

1.5793 4/9 -1.1779 5/9 0 6/9 0 7/9 0

-0.6528 4/10 1.0893 5/10 -0.4754 6/10 0 7/10 0

04/11 -0.73765/11 1.16786/11 -0.43997/11 004/12 05/12 -0.6626/12 0.83747/12 -0.2015

0 4/13 0 5/13 0 6/13 -1.3278 7/13 1.3734

-1.088 4/14 0 5/14 0 6/14 0 7/14 -0.4898

0 11/1 0 12/1 0 13/1 0.6435 14/1 0

0 11/2 0.0479 12/2 0 13/2 0 14/2 0

1.1755 11/3 0 12/3 0 13/3 0 14/3 0.2035

-1.918 11/4 0.4694 12/4 0 13/4 0 14/4 0

0.7425 11/5 -1.1761 12/5 0.4428 13/5 0 14/5 0011/6 0.658812/6 -1.781213/6 0.200514/6 0

011/7 012/7 1.338413/7 -1.329314/7 0.6437

0 11/8 0 12/8 0 13/8 0.4853 14/8 -0.8472

-4.8855 11/9 0 12/9 0 13/9 0 14/9 -5.5086

7.3145 11/10 -2.7068 12/10 0 13/10 0 14/10 0

-2.592911/11 15.41612/11 -4.648113/11 014/11 0


12/24

0 11/12 -4.6758 12/12 10.903 13/12 -6.6173 14/12 0

0 11/13 0 12/13 -6.4001 13/13 17.067 14/13 -2.8023

0 11/14 0 12/14 0 13/14 -2.8827 14/14 7.9598


13/24

1 2 3 4 5 6

1 0 -8.267 0 0 0 0 0 8.267 0 0 0 0

2 0 0 0 -7.619 0 0 0 0 0 0 0 0

3 0 0 0 0 0 -8.126 0 0 0 0 0 8.126

4 0 8.267 0 0 0 0 1.575 -18.72 -0.925 5.005 0 0

5 0 0 0 0 0 0 -0.925 5.005 1.535 -7.543 -0.61 2.6616 0 0 0 0 0 8.126 0 0 -0.61 2.661 1.16 -15.31

7 0 0 0 0 0 0 0 0 0 0 -0.55 4.659

8 0 0 0 7.619 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 -0.65 5.526 0 0 0 0

Slack PV P


V1 1 P2 0.776 P3 0.048 P4 0 P5 -0.429 P6 0

θ1 0 V2 1 V3 1 Q4 0 Q5 -0.143 Q6 0


θ2 0.148 P&X'2 0.057 P2 0.776 P&X'2

θ3 0.108 P&X'3 ((( P3 0.048 P&X'3

θ4 0.069 P&X'4 ((( P4 0 P&X'4

θ5 0.08 P&X'5 ((( P5 -0.429 P&X'5

θ6 0.108 P&X'6 ((( P6 0 P&X'6

θ7 0.125 P&X'7 ((( P7 -0.476 P&X'7

θ8 0.14 P&X'8 ((( P8 0 P&X'8

θ9 0.168 P&X'9 ((( P9 -0.6 P&X'9

V4 0.982 Q&X'4 ((( Q4 0 Q&X'4V5 0.972 Q&X'5 ((( Q5 -0.14 Q&X'5

V6 1 Q&X'6 ((( Q6 0 Q&X'6

V7 0.982 Q&X'7 ((( Q7 -0.167 Q&X'7

V8 0.997 Q&X'8 ((( Q8 0 Q&X'8

V9 0.978 Q&X'9 ((( Q9 -0.238 Q&X'9

)a*o$%a$a

1 2 3 4 5 6 7 8 9 10 11 12

1 8.242 0 0 0 0 0 -7.594 0 0 0 0 0

2 0 8.123 0 0 -8.123 0 0 0 0 0 0.001 03 0 0 18.02 -4.768 0 0 0 -5.221 1.554 -0.96 0 0

4 0 0 -4.787 7.355 -2.568 0 0 0 -0.848 1.444 -0.665 0

5 0 -8.123 0 -2.601 15.29 -4.564 0 0 0 -0.536 1.178 -0.631

6 0 0 0 0 -4.583 10.96 -6.373 0 0 0 -0.46 1.257

7 -7.594 0 0 0 0 -6.396 16.79 -2.757 0 0 0 -0.668

8 0 0 -5.344 0 0 0 -2.788 -0.929 -0.102 0 0 0


14/24

9 0 0 -1.512 0.933 0 0 0 1.143 18.35 -4.906 0 0

10 0 0 0.833 -1.497 0.664 0 0 0 -4.874 7.096 -2.569 0

11 0 0.001 0 0.521 -1.142 0.619 0 0 0 -2.676 15.31 -4.647

12 0 0 0 0 0.46 -1.312 0.851 0 0 0 -4.585 10.64

13 0.057 0 0 0 0 0.656 -1.341 0.628 0 0 0 -6.512

14 0 0 0.1 0 0 0 0.475 -0.574 -5.441 0 0 0


1 2 3 4 5 6 7 8 9 10 11 12

1 0.226 0.053 -0.038 -0.006 0.053 0.088 0.113 -0.126 0.019 0.013 0 0

2 0.054 0.381 -0.01 0.085 0.258 0.142 0.059 -0.114 0.021 0.012 -0.009 0.003

3 -0.041 -0.014 0.037 0.019 -0.014 -0.031 -0.044 -0.08 0.007 0.006 0.004 0.006

4 -0.007 0.083 0.02 0.173 0.083 0.03 -0.008 -0.092 0.011 -0.019 0.001 0.006

5 0.054 0.258 -0.01 0.085 0.258 0.142 0.059 -0.114 0.021 0.012 -0.009 0.003

6 0.089 0.141 -0.028 0.032 0.141 0.205 0.096 -0.127 0.021 0.013 0 -0.009

7 0.113 0.058 -0.042 -0.006 0.058 0.096 0.123 -0.137 0.021 0.015 0 08 -0.131 -0.12 -0.082 -0.095 -0.12 -0.133 -0.142 -0.192 0.014 0.01 0.005 0.006

9 0.002 0 0.011 0.008 0 0.001 0.003 0.016 0.093 0.071 0.018 0.02

10 0.001 0 0.009 0.034 0 0 0.001 0.013 0.07 0.201 0.045 0.033

11 0.003 0.014 0.002 0.007 0.014 0.008 0.004 0.003 0.019 0.046 0.089 0.054

12 0.007 0.011 0.003 0.006 0.011 0.021 0.008 0.004 0.02 0.034 0.052 0.156

13 0.011 0.006 0.003 0.004 0.006 0.011 0.012 0.005 0.02 0.023 0.024 0.067

14 -0.01 -0.011 0.005 0 -0.011 -0.01 -0.011 0.008 0.072 0.057 0.021 0.038


15/24

7 8 9 "2θ2 "2θ3 "2θ4 "2θ5 "2θ6

0 0 0 0 0 0 "3θ2 "3θ3 "3θ4 "3θ5 "3θ6

0 0 0 7.619 0 0 "4θ2 "4θ3 "4θ4 "4θ5 "4θ6

0 0 0 0 0 0 "5θ2 "5θ3 "5θ4 "5θ5 "5θ6

0 0 0 0 -0.65 5.526 "6θ2 "6θ3 "6θ4 "6θ5 "6θ6

0 0 0 0 0 0 "7θ2 "7θ3 "7θ4 "7θ5 "7θ6-0.55 4.659 0 0 0 0 "8θ2 "8θ3 "8θ4 "8θ5 "8θ6

1.32 -11.1 -0.77 6.523 0 0 "9θ2 "9θ3 "9θ4 "9θ5 "9θ6

-0.77 6.523 1.3355 -16.88 -0.566 2.845 Q4θ2 Q4θ3 Q4θ4 Q4θ5 Q4θ6

0 0 -0.566 2.845 1.216 -8.256 Q5θ2 Q5θ4 Q5θ5 Q5θ6


Q Q7θ2 Q7θ3 Q7θ4 Q7θ5 Q7θ6


P7 -0.476 P8 0 P9 -0.595 Q9θ2 Q9θ3 Q9θ4 Q9θ5 Q9θ6

Q7 -0.167 Q8 0 Q9 -0.238


0.057 0.719 Q2 ((( 1/3 0 2/3 0 3/3

0.001 0.047 Q3 ((( 1/4 0 2/4 0 3/4

((( ((( 1/5 0 2/5 -8.123 3/5

((( ((( X^2 1/6 0 2/6 0 3/6

((( ((( E 1/7 -7.5937 2/7 0 3/7

((( ((( θ2 ((( 16.06 1/8 0 2/8 0 3/8

((( ((( θ3 ((( 5.431 1/9 0 2/9 0 3/9

((( ((( θ4 ((( ((( 1/10 0 2/10 0 3/10

((( ((( θ5 ((( ((( 1/11 0 2/11 0.0008 3/11((( ((( θ6 ((( ((( 1/12 0 2/12 0 3/12

((( ((( θ7 ((( ((( 1/13 0.0574 2/13 0 3/13

((( ((( θ8 ((( ((( 1/14 0 2/14 0 3/14

((( ((( θ9 ((( (((

-0.234 0 V4 ((( -0.01

V5 ((( -0.006 8/1 0 9/1 0 10/1

V6 ((( ((( 8/2 0 9/2 0 10/2

13 14 V7 ((( ((( 8/3 -5.3439 9/3 -1.5124 10/3

0.057 0 V8 ((( ((( 8/4 0 9/4 0.9328 10/4

0 0 V9 ((( ((( 8/5 0 9/5 0 10/50 -1.169 X^3X^2X^2 8/6 0 9/6 0 10/6

0 0 E 8/7 -2.7879 9/7 0 10/7

0 0 θ2 0.283 16.21 8/8 -0.929 9/8 1.1431 10/8

-0.854 0 θ3 0.097 5.538 8/9 -0.1017 9/9 18.352 10/9

1.317 -0.642 θ4 ((( ((( 8/10 0 9/10 -4.9061 10/10

-0.476 1.79θ5 ((( ((( 8/11 0 9/11 0 10/11

Q5θ3


16/24

0 -5.338 θ6 ((( ((( 8/12 0 9/12 0 10/12

0 0 θ7 ((( ((( 8/13 -0.4761 9/13 0 10/13

0 0 θ8 ((( ((( 8/14 1.7904 9/14 -5.3383 10/14

-6.394 0 θ9 ((( (((

16.84 -2.819 V4 0.972 0.972

-2.797 7.836V5 0.966 0.966V6 ((( (((

V7 ((( (((

13 14 V8 ((( (((

0 0.045 V9 ((( (((

0.008 0.047

0.006 0.027

0.007 0.033

0.008 0.047

0.003 0.048

0 0.0490.007 0.032

0.019 0.069

0.022 0.054

0.024 0.021

0.066 0.038

0.092 0.047

0.047 0.191


17/24

"2θ7 "2θ8 "2θ9 "2,4 "2,5 "2,6 "2,7 "2,8 "2,9

"3θ7 "3θ8 "3θ9 "3,4 "3,5 "3,6 "3,7 "3,8 "3,9

"4θ7 "4θ8 "4θ9 "4,4 "4,5 "4,6 "4,7 "4,8 "4,9

"5θ7 "5θ8 "5θ9 "5,4 "5,5 "5,6 "5,7 "5,8 "5,9

"6θ7 "6θ8 "6θ9 "6,4 "6,5 "6,6 "6,7 "6,8 "6,9

"7θ7 "7θ8 "7θ9 "7,4 "7,5 "7,6 "7,7 "7,8 "7,9"8θ7 "8θ8 "8θ9 "8,4 "8,5 "8,6 "8,7 "8,8 "8,9

"9θ7 "9θ8 "9θ9 "9,4 "9,5 "9,6 "9,7 "9,8 "9,9

Q4θ7 Q4θ8 Q4θ9 Q4,4 Q4,5 Q4,6 Q4,7 Q4,8 Q4,9

Q5θ7 Q5θ8 Q5θ9 Q5,4 Q5,5 Q5,6 Q5,7 Q5,8 Q5,9

Q6θ7 Q6θ8 Q6θ9 Q6,4 Q6,5 Q6,6 Q6,7 Q6,8 Q6,9

Q7θ7 Q7θ8 Q7θ9 Q7,4 Q7,5 Q7,6 Q7,7 Q7,8 Q7,9

Q8θ7 Q8θ8 Q8θ9 Q8,4 Q8,5 Q8,6 Q8,7 Q8,8 Q8,9

Q9θ7 Q9θ8 Q9θ9 Q9,4 Q9,5 Q9,6 Q9,7 Q9,8 Q9,9

0 4/1 0 5/1 0 6/1 0 7/1 -7.59370 4/2 0 5/2 -8.123 6/2 0 7/2 0

18.025 4/3 -4.7869 5/3 0 6/3 0 7/3 0

-4.7684 4/4 7.3548 5/4 -2.6008 6/4 0 7/4 0

0 4/5 -2.568 5/5 15.288 6/5 -4.5829 7/5 0

0 4/6 0 5/6 -4.5641 6/6 10.956 7/6 -6.396

0 4/7 0 5/7 0 6/7 -6.3729 7/7 16.788

-5.2212 4/8 0 5/8 0 6/8 0 7/8 -2.7575

1.5539 4/9 -0.848 5/9 0 6/9 0 7/9 0

-0.9597 4/10 1.4439 5/10 -0.5364 6/10 0 7/10 0

04/11 -0.66475/11 1.1786/11 -0.46057/11 004/12 05/12 -0.63076/12 1.25737/12 -0.6679

0 4/13 0 5/13 0 6/13 -0.8542 7/13 1.3169

-1.1687 4/14 0 5/14 0 6/14 0 7/14 -0.6417

0 11/1 0 12/1 0 13/1 0.0572 14/1 0

0 11/2 0.0008 12/2 0 13/2 0 14/2 0

0.8329 11/3 0 12/3 0 13/3 0 14/3 0.0999

-1.4973 11/4 0.5213 12/4 0 13/4 0 14/4 0

0.6644 11/5 -1.1416 12/5 0.4603 13/5 0 14/5 00 11/6 0.6194 12/6 -1.3117 13/6 0.656 14/6 0

011/7 012/7 0.851313/7 -1.340814/7 0.4746

0 11/8 0 12/8 0 13/8 0.6276 14/8 -0.5744

-4.8737 11/9 0 12/9 0 13/9 0 14/9 -5.4409

7.0958 11/10 -2.6759 12/10 0 13/10 0 14/10 0

-2.56911/11 15.31312/11 -4.584613/11 014/11 0


18/24

0 11/12 -4.6471 12/12 10.642 13/12 -6.5123 14/12 0

011/13 012/13 -6.39413/13 16.84414/13 -2.7971

0 11/14 0 12/14 0 13/14 -2.8193 14/14 7.8361


19/24

1 2 3 4 5 6

1 0 -8.267 0 0 0 0 0 8.267 0 0 0 0

2 0 0 0 -7.619 0 0 0 0 0 0 0 0

3 0 0 0 0 0 -8.126 0 0 0 0 0 8.126

4 0 8.267 0 0 0 0 1.575 -18.72 -0.925 5.005 0 0

5 0 0 0 0 0 0 -0.925 5.005 1.535 -7.543 -0.61 2.6616 0 0 0 0 0 8.126 0 0 -0.61 2.661 1.16 -15.31

7 0 0 0 0 0 0 0 0 0 0 -0.55 4.659

8 0 0 0 7.619 0 0 0 0 0 0 0 0

9 0 0 0 0 0 0 -0.65 5.526 0 0 0 0

Slack PV P


V1 1 P2 0.776 P3 0.048 P4 0 P5 -0.429 P6 0

θ1 0 V2 1 V3 1 Q4 0 Q5 -0.143 Q6 0


θ2 0.283 P&X'2 0.539 P2 0.776 P&X'2

θ3 0.097 P&X'3 ((( P3 0.048 P&X'3

θ4 0.073 P&X'4 ((( P4 0 P&X'4

θ5 0.027 P&X'5 ((( P5 -0.429 P&X'5

θ6 0.091 P&X'6 ((( P6 0 P&X'6

θ7 0.121 P&X'7 ((( P7 -0.476 P&X'7

θ8 0.212 P&X'8 ((( P8 0 P&X'8

θ9 0.227 P&X'9 ((( P9 -0.6 P&X'9

V4 0.972 Q&X'4 ((( Q4 0 Q&X'4V5 0.966 Q&X'5 ((( Q5 -0.14 Q&X'5

V6 1 Q&X'6 ((( Q6 0 Q&X'6

V7 0.986 Q&X'7 ((( Q7 -0.167 Q&X'7

V8 0.999 Q&X'8 ((( Q8 0 Q&X'8

V9 0.974 Q&X'9 ((( Q9 -0.238 Q&X'9

)a*o$%a$a

1 2 3 4 5 6 7 8 9 10 11 12

1 8.239 0 0 0 0 0 -7.591 0 0 0 0 0

2 0 8.125 0 0 -8.125 0 0 0 0 0 0.047 03 0 0 17.53 -4.731 0 0 0 -5.072 1.539 -0.676 0 0

4 0 0 -4.652 7.179 -2.527 0 0 0 -1.113 1.068 -0.752 0

5 0 -8.125 0 -2.602 15.3 -4.573 0 0 0 -0.44 1.168 -0.691

6 0 0 0 0 -4.606 10.93 -6.326 0 0 0 -0.403 0.836

7 -7.591 0 0 0 0 -6.464 16.87 -2.759 0 0 0 -0.175

8 0 0 -5.261 0 0 0 -2.776 -0.946 0.201 0 0 0


20/24

9 0 0 -1.478 0.653 0 0 0 1.411 18.04 -4.899 0 0

10 0 0 1.081 -1.833 0.752 0 0 0 -4.788 7.135 -2.527 0

11 0 0.047 0 0.425 -1.153 0.681 0 0 0 -2.694 15.31 -4.64

12 0 0 0 0 0.403 -1.741 1.338 0 0 0 -4.606 10.78

13 0.539 0 0 0 0 0.172 -1.303 0.592 0 0 0 -6.558

14 0 0 -0.195 0 0 0 0.508 -0.313 -5.414 0 0 0


1 2 3 4 5 6 7 8 9 10 11 12

1 0.227 0.055 -0.036 0 0.055 0.089 0.114 -0.124 0.022 0.015 0 -0.007

2 0.055 0.388 -0.006 0.095 0.265 0.149 0.061 -0.11 0.031 0.021 0 0.015

3 -0.04 -0.011 0.041 0.024 -0.011 -0.029 -0.043 -0.079 0.013 0.01 0.006 0.009

4 -0.006 0.088 0.025 0.185 0.088 0.035 -0.006 -0.088 0.025 0 0.008 0.015

5 0.055 0.265 -0.006 0.095 0.265 0.149 0.061 -0.11 0.031 0.021 0 0.015

6 0.09 0.148 -0.025 0.04 0.148 0.212 0.099 -0.124 0.029 0.0217E-005 0.003

7 0.115 0.061 -0.039 0 0.061 0.098 0.124 -0.134 0.026 0.018 0 08 -0.13 -0.12 -0.081 -0.095 -0.12 -0.132 -0.141 -0.19 0.019 0.015 0.006 0.009

9 0.005 0.008 0.016 0.022 0.008 0.009 0.007 0.021 0.094 0.07 0.018 0.019

10 0.003 0.008 0.013 0.054 0.008 0.008 0.004 0.016 0.071 0.2 0.045 0.033

11 0.001 0.018 0.004 0.014 0.019 0.012 0.003 0.005 0.019 0.046 0.088 0.053

12 0.001 0.023 0.007 0.016 0.023 0.034 0.006 0.007 0.02 0.033 0.052 0.154

13 0.004 0.015 0.006 0.012 0.015 0.02 0.011 0.007 0.02 0.022 0.023 0.066

14 -0.008 0.002 0.014 0.016 0.002 0.001 -0.006 0.016 0.072 0.056 0.021 0.037


21/24

7 8 9 "2θ2 "2θ3 "2θ4 "2θ5 "2θ6

0 0 0 0 0 0 "3θ2 "3θ3 "3θ4 "3θ5 "3θ6

0 0 0 7.619 0 0 "4θ2 "4θ3 "4θ4 "4θ5 "4θ6

0 0 0 0 0 0 "5θ2 "5θ3 "5θ4 "5θ5 "5θ6

0 0 0 0 -0.65 5.526 "6θ2 "6θ3 "6θ4 "6θ5 "6θ6

0 0 0 0 0 0 "7θ2 "7θ3 "7θ4 "7θ5 "7θ6-0.55 4.659 0 0 0 0 "8θ2 "8θ3 "8θ4 "8θ5 "8θ6

1.32 -11.1 -0.77 6.523 0 0 "9θ2 "9θ3 "9θ4 "9θ5 "9θ6

-0.77 6.523 1.336 -16.88 -0.566 2.845 Q4θ2 Q4θ3 Q4θ4 Q4θ5 Q4θ6

0 0 -0.566 2.845 1.216 -8.256 Q5θ2 Q5θ4 Q5θ5 Q5θ6




P7 -0.476 P8 0 P9 -0.595 Q9θ2 Q9θ3 Q9θ4 Q9θ5 Q9θ6

Q7 -0.167 Q8 0 Q9 -0.238


0.539 0.237 Q2 ((( 1/3 0 2/3 0 3/3

0.047 0.001 Q3 ((( 1/4 0 2/4 0 3/4

((( ((( 1/5 0 2/5 -8.1252 3/5

((( ((( X^3 1/6 0 2/6 0 3/6

((( ((( E 1/7 -7.5913 2/7 0 3/7

((( ((( θ2 ((( 13.12 1/8 0 2/8 0 3/8

((( ((( θ3 ((( 9.404 1/9 0 2/9 0 3/9

((( ((( θ4 ((( ((( 1/10 0 2/10 0 3/10

((( ((( θ5 ((( ((( 1/11 0 2/11 0.0468 3/11((( ((( θ6 ((( ((( 1/12 0 2/12 0 3/12

((( ((( θ7 ((( ((( 1/13 0.5395 2/13 0 3/13

((( ((( θ8 ((( ((( 1/14 0 2/14 0 3/14

((( ((( θ9 ((( (((

-0.207 -0.031 V4 ((( -0.019

V5 ((( -0.018 8/1 0 9/1 0 10/1

V6 ((( ((( 8/2 0 9/2 0 10/2

13 14 V7 ((( ((( 8/3 -5.2611 9/3 -1.4784 10/3

0.539 0 V8 ((( ((( 8/4 0 9/4 0.6527 10/4

0 0 V9 ((( ((( 8/5 0 9/5 0 10/50 -1.449 X^4X^3X^3 8/6 0 9/6 0 10/6

0 0 E 8/7 -2.7757 9/7 0 10/7

0 0 θ2 0.234 13.4 8/8 -0.94569/8 1.411110/8

-1.339 0 θ3 0.166 9.501 8/9 0.20119/9 18.04310/9

1.364 -0.608 θ4 ((( ((( 8/10 0 9/10 -4.8993 10/10

-0.509 2.046θ5 ((( ((( 8/11 0 9/11 0 10/11

Q5θ3


22/24

0 -5.208 θ6 ((( ((( 8/12 0 9/12 0 10/12

0 0 θ7 ((( ((( 8/13 -0.5088 9/13 0 10/13

0 0 θ8 ((( ((( 8/14 2.0462 9/14 -5.2085 10/14

-6.334 0 θ9 ((( (((

16.89 -2.833 V4 0.953 0.953

-2.779 7.827V5 0.948 0.948V6 ((( (((

V7 ((( (((

13 14 V8 ((( (((

-0.008 0.046V9 ((( (((

0.017 0.059 %$ de "oce!o %#ea#%,o

0.01 0.037

0.014 0.049

0.017 0.059

0.013 0.06

0 0.0540.009 0.04

0.019 0.068

0.022 0.054

0.024 0.021

0.066 0.037

0.092 0.047

0.047 0.19


23/24

"2θ7 "2θ8 "2θ9 "2,4 "2,5 "2,6 "2,7 "2,8 "2,9

"3θ7 "3θ8 "3θ9 "3,4 "3,5 "3,6 "3,7 "3,8 "3,9

"4θ7 "4θ8 "4θ9 "4,4 "4,5 "4,6 "4,7 "4,8 "4,9

"5θ7 "5θ8 "5θ9 "5,4 "5,5 "5,6 "5,7 "5,8 "5,9

"6θ7 "6θ8 "6θ9 "6,4 "6,5 "6,6 "6,7 "6,8 "6,9

"7θ7 "7θ8 "7θ9 "7,4 "7,5 "7,6 "7,7 "7,8 "7,9"8θ7 "8θ8 "8θ9 "8,4 "8,5 "8,6 "8,7 "8,8 "8,9

"9θ7 "9θ8 "9θ9 "9,4 "9,5 "9,6 "9,7 "9,8 "9,9

Q4θ7 Q4θ8 Q4θ9 Q4,4 Q4,5 Q4,6 Q4,7 Q4,8 Q4,9

Q5θ7 Q5θ8 Q5θ9 Q5,4 Q5,5 Q5,6 Q5,7 Q5,8 Q5,9

Q6θ7 Q6θ8 Q6θ9 Q6,4 Q6,5 Q6,6 Q6,7 Q6,8 Q6,9

Q7θ7 Q7θ8 Q7θ9 Q7,4 Q7,5 Q7,6 Q7,7 Q7,8 Q7,9

Q8θ7 Q8θ8 Q8θ9 Q8,4 Q8,5 Q8,6 Q8,7 Q8,8 Q8,9

Q9θ7 Q9θ8 Q9θ9 Q9,4 Q9,5 Q9,6 Q9,7 Q9,8 Q9,9

0 4/1 0 5/1 0 6/1 0 7/1 -7.59130 4/2 0 5/2 -8.1252 6/2 0 7/2 0

17.532 4/3 -4.652 5/3 0 6/3 0 7/3 0

-4.7312 4/4 7.1789 5/4 -2.6018 6/4 0 7/4 0

0 4/5 -2.5269 5/5 15.3 6/5 -4.606 7/5 0

0 4/6 0 5/6 -4.5732 6/6 10.932 7/6 -6.464

0 4/7 0 5/7 0 6/7 -6.3264 7/7 16.867

-5.0721 4/8 0 5/8 0 6/8 0 7/8 -2.759

1.5392 4/9 -1.1126 5/9 0 6/9 0 7/9 0

-0.6759 4/10 1.0675 5/10 -0.4401 6/10 0 7/10 0

04/11 -0.75165/11 1.1686/11 -0.40287/11 004/12 05/12 -0.69076/12 0.8367/12 -0.1746

0 4/13 0 5/13 0 6/13 -1.3393 7/13 1.3638

-1.449 4/14 0 5/14 0 6/14 0 7/14 -0.6077

0 11/1 0 12/1 0 13/1 0.5388 14/1 0

0 11/2 0.0468 12/2 0 13/2 0 14/2 0

1.0811 11/3 0 12/3 0 13/3 0 14/3 -0.1954

-1.8327 11/4 0.425 12/4 0 13/4 0 14/4 0

0.7516 11/5 -1.1526 12/5 0.4028 13/5 0 14/5 00 11/6 0.6808 12/6 -1.7406 13/6 0.172 14/6 0

011/7 012/7 1.337813/7 -1.302714/7 0.5082

0 11/8 0 12/8 0 13/8 0.5918 14/8 -0.3128

-4.7876 11/9 0 12/9 0 13/9 0 14/9 -5.4145

7.1351 11/10 -2.6942 12/10 0 13/10 0 14/10 0

-2.527111/11 15.31412/11 -4.606413/11 014/11 0


24/24

0 11/12 -4.6399 12/12 10.782 13/12 -6.5583 14/12 0

0 11/13 0 12/13 -6.3336 13/13 16.886 14/13 -2.7788

0 11/14 0 12/14 0 13/14 -2.8332 14/14 7.8274

9 Nodos Javier Alfaro

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