4.10 Complex Networks
157
Functions matrix |F i |
Jacobian of the system |J|
Q i = −J −1 F
Function Calculation
Q 12
Q 23
Inverse matrix |J| = |J| −1
Q ij
Value
F x =
−549.5
dF x /dQ i 105.17479
−0.199664 0.0095081
4.205E−05 Q 12 5.247
F y =
−551.28138 dF y /dQ i −0.199664 45.149831
4.205E−05 0.0
Q 23 12.233
R 14
R 12
R 24
R 34
R 23
Q 12
Q 23
Q a
0.4
0.3
0.8
0.2
0.1
80.372
87.482
150
Solutions for iteration 2
Q 14
Q 12
Q 24
Q 34
Q 23
−69.628
80.372
−7.111
−62.518
87.482
Matrix of functions
|F i |
Jacobian of the system |J|
Q i = −J −1
F
Function Calculation
Q 12
Q 23
Inverse matrix |J| =
|J| −1
Q ij Value
F x =
−41.8
dF x /dQ i 115.30261 −11.37697 0.0088574 0.0018703 Q 12 0.325
F y =
24.076097 dF y /dQ i −11.37697 53.880492 0.0018703 0.0
Q 23 −0.378
R 14
R 12
R 24
R 34
R 23
Q 12
Q 23
Q a
0.4
0.3
0.8
0.2
0.1
80.697
87.104
150
Solution for iteration 3
Q 14
Q 12
Q 24
Q 34
Q 23
−69.303
80.697
−6.407
−62.896
87.104
Matrix of functions
|F i |
Jacobian of the system |J|
Q i = −J −1
F
Function Calculation
Q 12
Q 23
Inverse matrix |J| =
|J| −1
Q ij Value
F x =
−0.4
dF x /dQ i 114.11222 −10.25162 0.0089188 0.0017307 Q 12 0.003
F y =
0.3814563 dF y /dQ i −10.25162 52.830772 0.0017307 0.0
Q 23 −0.007
R 14
R 12
R 24
R 34
R 23
Q 12
Q 23
Q a
0.4
0.3
0.8
0.2
0.1
80.700
87.098
150
Solutions for iteration 4
Q 14
Q 12
Q 24
Q 34
Q 23
−69.300
80.700
−6.398
−62.902
87.098