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Transcript of Hpgrsim Open
Moly-Cop Tools, Version 3.0
About the HPGRSim_Open Spreadsheet ...
Scope: The HPGRSim_Open spreadsheet was designed to simulate the Size-by-Size Mass Balance response of a High Pressure Grinding Roll (HPGR), operating in Open Circuit. Theoretical Framework: The attached HPGR model has been adapted from Magín Torres' MS Thesis at the University of Chile, published in April, 2010 plus additional documentation made available by the main equipment suppliers. The model consists of 3 specific equations which all combined allow for the calculation of the Specific Energy Consumption (kWh/ton), the key input for the solution of the linear grinding model equations; as they can be applied to a HPGR type of equipment: 1. Operational Gap Equation: The Operational Gap or separation between the two rolls is determined on the basis of the degree of compression that the ore particles are subjected to in their pass through the rolls:
g = 1000 D cos ac (1 - cos ac) / (rc/ra - cos ac) where: g = Operational Gap, mm D = Roll Diameter, m
ra = Apparent Density of the bulk particles being fed to the rolls, ton/m3
rc = Apparent Density of the compressed particles (Cake), ton/m3
ac = Critical Compression (Nipping) Angle defining the point at which particle compression starts, (°)
Typical values of ac are in the range of 7° - 9°. 2. Capacity Equation: The grinding capacity developed by the HPGR is given by:
M = 3.6 rc g L U c where: M = Grinding Capacity, ton/hr (metric) L = Roll Length, m U = Peripheral Roll Velocity, m/sec c = Extrusion/Slippage factor (between 1.0 and 1.15) Krupp Polysius, HPGR manufacturer, recommends U = 1.35 D0.5 when D < 1.82 m or U = D when D > 1.82 m, in order to avoid excessive ore slippage through the rolls. 3. Net Power Draw: The Net Power drawn by the rolls is a direct function of the compressive force applied in between the rolls, defined as:
Moly-Cop Tools / 236146390.xlsx.ms_office Page 1 6/28/2014 / 5:07 PM
Moly-Cop Tools, Version 3.0
About the HPGRSim_Open Spreadsheet ...
where: F = Compressive Force, kNewtons p = Compressive Pressure, Bars The Net Power Draw may be estimated from a typical '(torque) x (angular velocity)' equation where the torque against rotation of the rolls is being exerted by the friction component of the compressive force:
P = 2 w Torque
= 2 (2 p N/60) (D/2) ( m F)
= m p N D F /30 where: P = Net Power Draw, kW
w = Rotational Roll Speed, radians/sec N = Rotational Roll Speed, rpm
m = Friction Coefficient; which may be approximated as sin(ac) The factor 2 in the above equation takes into account that both rolls must be provided similar amounts of power. Finally, the Specific Energy Consumption (kWh/ton) may be calculated as: E = P/M As it is widely recognized, a small fraction of the feed ore by-passes the grinding device near the edges of the rolls. In order to account for this effect, it is assumed that the energy actually applied to each ensemble of particles will vary along the length of the rolls, as illustrated: Under such assumption, the following energy balance must apply: E M = Ec Mc + Ee Me
where the subscripts c and e refer to the center and edge material, respectively. The above expression is equivalent to: E M = Ec [M (L - Le) /L] + (Ec/2) [M 2Le/L] wherefrom: Ec = E / (1 - Le/L)
Ec
E
Le Le
L
Moly-Cop Tools / 236146390.xlsx.ms_office Page 2 6/28/2014 / 5:07 PM
Moly-Cop Tools, Version 3.0
About the HPGRSim_Open Spreadsheet ...
is the specific energy applied to the center particles, while E is the average specific energy applied to the whole ensemble of particles. 4. Linear Grinding Model: The Linear Grinding Model equations (Ref. About in any of the BallSim spreadsheets) are applied to the whole ensemble of particles as well as the center particles using E and Ec, respectively, to calculate the resulting product size distributions. The edge product is then calculated by difference. In terms of Residence Time Distribution, a HPGR is assumed to behave as a nearly plug flow reactor. Data Input and Program Execution: The data required by the simulator must be defined in each corresponding unprotected white background cell - inside the red double-lined border - of the here attached Data_File worksheet. Gray background cells contain the results of the corresponding formulas there defined and are protected to avoid any accidental editing.
Moly-Cop Tools / 236146390.xlsx.ms_office Page 3 6/28/2014 / 5:07 PM
Moly-Cop Tools TM (Version 3.0)
Circuit Type OPEN (see Flowsheet ) Simulation N° 0
Remarks
HPGR Dimensions and Operating Conditions
Default Values
Roll Diameter, D, m 2.25
Roll Length, L, m 1.40
Peripheral Speed, U, m/sec 2.01 2.25 Max
Rotational Speed, w, rpm 17.06
Operating Pressure, p, Bars 40.00
Specific Grinding Force, Newton/mm2
4.00
Compression Force, kNewton 12600
Friction Coefficient, m 0.056 0.077
Net Power Draw, P, kW 2850.0
Critical Compression Angle, ac, (°) 8.80 8.0
Operational Gap, g, mm 54.6
As % of Roll Diameter 2.4
Nipping Gap, mm 81.0
Extrusion/Slippage Factor 1.00 1.00 Edge By-Pass, Le, mm 163.7
Grinding Capacity, M, ton/hr (wet) 1476.7 As # of gaps 3.0
Feed Moisture, % 3.5
Grinding Capacity, M, ton/hr (dry) 1425.0
Specific Throughput, ton sec / m3 hr) 225.1
Specific Energy, E, kWh/ton 2.00
Ore Density, rs, ton/m3
2.80
Bulk Feed Particles % Voids 35.0 35.0 App. Density, rap, ton/m3
1.82
Product Particles (Cake) % Voids 4.6 5.0 App. Density, rc, ton/m3
2.67
i Mesh Opening Mid-Size ton/hr % Retained % Passing
1 3" 76200 100.00
2 2" 50800 62217 45.87 3.22 96.78
3 1.5" 38100 43994 35.75 2.51 94.27
4 1" 25400 31109 319.60 22.43 71.84
5 0.742" 19050 21997 324.87 22.80 49.05
6 0.525" 12700 15554 290.67 20.40 28.65
7 0.371" 9500 10984 101.96 7.16 21.49
8 3 6700 7978 66.51 4.67 16.83
9 4 4750 5641 39.54 2.77 14.05
10 6 3350 3989 29.21 2.05 12.00
11 8 2360 2812 23.96 1.68 10.32
12 10 1700 2003 19.41 1.36 8.96
13 14 1180 1416 18.93 1.33 7.63
14 20 850 1001 14.92 1.05 6.58
15 28 600 714 13.87 0.97 5.61
16 35 425 505 11.92 0.84 4.77
17 48 300 357 10.40 0.73 4.04
18 65 212 252 8.89 0.62 3.42
19 100 150 178 7.58 0.53 2.89
20 150 106 126 6.48 0.45 2.43
21 -150 0 53 34.66 2.43 0.00
F99/Gap Ratio 1.23
F99/Nipping Gap Ratio 0.83
Selection Function Parameters :
alpha0 alpha1 alpha2 dcrit
0.03160 0.325 3 90002
165.0 % of Gap
Breakage Function Parameters :
beta0 beta1 beta2
0.378 0.363 4
HPGRSIM: Open Circuit HPGR Simulator.
Feed Size Distribution
Base Case Example
M
ac g D/2
p
w w
Moly-Cop Tools / 236146390.xlsx.ms_office Page 4 6/28/2014 / 5:07 PM
Moly-Cop Tools TM (Version 3.0)
Simulation N° 0 Remarks :
HPGRSim_Open : Open Circuit HPGR Simulator
Base Case Example
1
10
100
10 100 1000 10000 100000
% P
assin
g
Particle Size, microns
Fresh Feed
HPGR Discharge
Edges
Size Distributions
Moly-Cop Tools / 236146390.xlsx.ms_office 6/28/2014 / 5:07 PM
Simulation N° 0
Remarks:
Roll Diameter, D, m 2.25 Critical Compression Angle, ac, (°) 8.80
Roll Length, L, m 1.40 Operational Gap, g, mm 54.6
As % of Roll Diameter 2.4
Peripheral Speed, U, m/sec 2.01
Rotational Speed, w, rpm 17.06 Grinding Capacity, M, ton/hr (wet) 1476.7
Operating Pressure, p, Bars 40.0 Feed Moisture, % 3.50
Grinding Capacity, M, ton/hr (dry) 1425.0
Friction Coefficient, m 0.056
Net Power Draw, P, kW 2850.0 Specific Energy, E, kWh/ton 2.00
Ore Density, rs, ton/m3
2.80
Bulk Feed Particles % Voids 35 Apparent Density, rap, ton/m3
1.82
Product Particles (Cake) % Voids 4.5857275 Apparent Density, rc, ton/m3
2.67
HPGR HPGR Rolls Rolls
Feed Discharge Center Edge
Ore, ton/hr 1425.0 1425.0 1091.8 333.2
Water, m3/hr 51.7 51.7 39.6 12.1
Slurry, ton/hr 1476.7 1476.7 1131.4 345.3
Slurry, m3/hr 560.6 560.6 429.5 131.1
Slurry Dens., ton/m3 2.634 2.634 2.634 2.634
% Solids (by volume) 90.8 90.8 90.8 90.8
% Solids (by weight) 96.50 96.50 96.50 96.50
i Mesh Opening
1 3" 76200 62217 100.00 100.00 100.00 100.00
2 2" 50800 43994 96.78 99.70 99.76 99.48
3 1.5" 38100 31109 94.27 98.95 99.14 98.35
4 1" 25400 21997 71.84 93.63 94.62 90.39
5 0.742" 19050 15554 49.05 84.40 86.47 77.63
6 0.525" 12700 10984 28.65 71.14 74.29 60.82
7 0.371" 9500 7978 21.49 61.32 64.82 49.88
8 3 6700 5641 16.83 52.43 55.95 40.89
9 4 4750 3989 14.05 45.57 48.92 34.60
10 6 3350 2812 12.00 40.05 43.16 29.87
11 8 2360 2003 10.32 35.46 38.32 26.09
12 10 1700 1416 8.96 31.69 34.33 23.06
13 14 1180 1001 7.63 28.05 30.46 20.14
14 20 850 714 6.58 25.05 27.26 17.79
15 28 600 505 5.61 22.21 24.23 15.59
16 35 425 357 4.77 19.67 21.51 13.65
17 48 300 252 4.04 17.38 19.04 11.93
18 65 212 178 3.42 15.33 16.84 10.41
19 100 150 126 2.89 13.52 14.87 9.09
20 150 106 53 2.43 11.90 13.11 7.92
D80, microns 29821 16777 15478 20164
Moly-Cop ToolsTM
, Version 3.0
HPGRSIM_OpenOpen Circuit HPGR Simulator
Base Case Example
Size Distributions, % Passing
Moly-Cop Tools / 236146390.xlsx.ms_office Page 6 6/28/2014 / 5:07 PM
alpha0 alpha1 alpha2 Dcrit Beta0 Beta1 Beta2
0.03160 0.325 3 90002 0.378 0.36 4.00
Breakage Function ParametersSelection Function Parameters
Moly-Cop Tools / 236146390.xlsx.ms_office Page 7 6/28/2014 / 5:07 PM
SiE
Selection Function :
alpha0 alpha1 alpha2 dcrit
0.031595 0.324511 3 90002.05
i Mesh Opening Mid-Size SiE
1 3" 76200
2 2" 50800 62217.04 1.511002
3 1.5" 38100 43994.09 1.133522
4 1" 25400 31108.52 0.944464
5 0.742" 19050 21997.05 0.822363
6 0.525" 12700 15554.26 0.72805
7 0.371" 9500 10984.08 0.648164
8 3 6700 7978.095 0.583627
9 4 4750 5641.365 0.52131
10 6 3350 3989.048 0.465783
11 8 2360 2811.761 0.415785
12 10 1700 2002.998 0.372444
13 14 1180 1416.333 0.332823
14 20 850 1001.499 0.297419
15 28 600 714.1428 0.266507
16 35 425 504.9752 0.238158
17 48 300 357.0714 0.212824
18 65 212 252.1904 0.190113
19 100 150 178.3255 0.16989
20 150 106 126.0952 0.151818
21 -150 0 53 0
0.01
0.10
1.00
10.00
100.00
1000.00
10
SiE
, to
n/k
Wh
Page 8
Bij
Breakage Function :
Beta00 Beta01 Beta1 Beta2
0.378332 0 0.36304 4
i Mesh Opening Beta0J Cummulative
1 3" 76200 0.378332 1
2 2" 50800 0.378332 1 1
3 1.5" 38100 0.378332 0.537512 1 1
4 1" 25400 0.378332 0.333017 0.449345 1 1
5 0.742" 19050 0.378332 0.277284 0.333017 0.537512 1 1
6 0.525" 12700 0.378332 0.231147 0.261573 0.333017 0.449345 1 1
7 0.371" 9500 0.378332 0.2066 0.230903 0.276902 0.33233 0.53513 1 1
8 3 6700 0.378332 0.18152 0.201889 0.236227 0.268404 0.348103 0.487089 1 1
9 4 4750 0.378332 0.160093 0.177815 0.2066 0.230903 0.276902 0.333017 0.490968 1 1
10 6 3350 0.378332 0.141002 0.156549 0.18152 0.201889 0.236227 0.268751 0.333017 0.487089 1 1
11 8 2360 0.378332 0.124156 0.13783 0.159724 0.177403 0.206108 0.230561 0.268604 0.331368 0.486271 1
12 10 1700 0.378332 0.110215 0.12235 0.141763 0.157395 0.18251 0.203211 0.232529 0.270736 0.336975 0.503237
13 14 1180 0.378332 0.096532 0.10716 0.124156 0.13783 0.159724 0.177574 0.202003 0.230561 0.268604 0.333017
14 20 850 0.378332 0.085695 0.095129 0.110215 0.12235 0.141763 0.157546 0.178954 0.203211 0.232529 0.271598
15 28 600 0.378332 0.075516 0.083829 0.097123 0.107816 0.124916 0.138807 0.157596 0.17867 0.203278 0.232715
16 35 425 0.378332 0.06663 0.073965 0.085695 0.095129 0.110215 0.122467 0.139026 0.157546 0.178954 0.203694
17 48 300 0.378332 0.058715 0.065179 0.075516 0.083829 0.097123 0.107919 0.122506 0.138807 0.157596 0.179085
18 65 212 0.378332 0.051762 0.05746 0.066573 0.073902 0.085621 0.095138 0.107997 0.122362 0.138907 0.157774
19 100 150 0.378332 0.045653 0.050678 0.058715 0.065179 0.075516 0.083909 0.09525 0.107919 0.122506 0.139127
20 150 106 0.378332 0.040246 0.044677 0.051762 0.05746 0.066573 0.073972 0.08397 0.095138 0.107997 0.122644
Page 10
Bij
i Mesh Opening Partial
1 3" 76200 0
2 2" 50800 0.462488 0
3 1.5" 38100 0.204495 0.550655 0
4 1" 25400 0.055733 0.116328 0.462488 0
5 0.742" 19050 0.046137 0.071444 0.204495 0.550655 0
6 0.525" 12700 0.024547 0.030669 0.056114 0.117015 0.46487 0
7 0.371" 9500 0.02508 0.029014 0.040676 0.063926 0.187027 0.512911 0
8 3 6700 0.021427 0.024074 0.029627 0.037501 0.071201 0.154073 0.509032 0
9 4 4750 0.019091 0.021266 0.02508 0.029014 0.040676 0.064265 0.157951 0.512911 0
10 6 3350 0.016846 0.018718 0.021796 0.024486 0.030119 0.038191 0.064413 0.155721 0.513729 0
11 8 2360 0.013941 0.01548 0.017961 0.020008 0.023598 0.02735 0.036075 0.060633 0.149295 0.496763
12 10 1700 0.013683 0.01519 0.017607 0.019565 0.022785 0.025637 0.030525 0.040175 0.068371 0.17022
13 14 1180 0.010838 0.012031 0.013941 0.01548 0.017961 0.020028 0.023049 0.02735 0.036075 0.061419
14 20 850 0.010179 0.0113 0.013092 0.014534 0.016847 0.018739 0.021358 0.024541 0.029251 0.038882
15 28 600 0.008886 0.009864 0.011429 0.012687 0.014701 0.01634 0.01857 0.021124 0.024323 0.029022
16 35 425 0.007914 0.008786 0.010179 0.0113 0.013092 0.014548 0.01652 0.018739 0.021358 0.024609
17 48 300 0.006953 0.007719 0.008943 0.009928 0.011502 0.012781 0.014509 0.016445 0.018689 0.021311
18 65 212 0.006109 0.006782 0.007857 0.008722 0.010106 0.011229 0.012747 0.014444 0.016401 0.018647
19 100 150 0.005406 0.006002 0.006953 0.007719 0.008943 0.009937 0.01128 0.012781 0.014509 0.016483
20 150 106 0.040246 0.044677 0.051762 0.05746 0.066573 0.073972 0.08397 0.095138 0.107997 0.122644
1 1 1 1 1 1 1 1 1 1
Page 11
Bij
1
1 1
0.475673 1 1
0.333017 0.503237 1 1
0.268868 0.337519 0.487736 1 1
0.231147 0.271598 0.333017 0.490311 1 1
0.202154 0.232715 0.268868 0.333017 0.487736 1 1
0.177833 0.203514 0.230928 0.269015 0.332401 0.488558 1 1
0.156749 0.179085 0.202154 0.231147 0.268868 0.333017 0.489483 1 1
0.138162 0.157774 0.177833 0.202238 0.230928 0.269015 0.333017 0.488558 1 1
Page 12
Bij
0
0.524327 0
0.142657 0.496763 0
0.064149 0.165718 0.512264 0
0.037721 0.065921 0.15472 0.509689 0
0.028993 0.038882 0.064149 0.157295 0.512264 0
0.024321 0.029201 0.037939 0.064001 0.155336 0.511442 0
0.021084 0.024429 0.028775 0.037868 0.063533 0.155542 0.510517 0
0.018587 0.021311 0.024321 0.028909 0.037939 0.064001 0.156466 0.511442 0
0.138162 0.157774 0.177833 0.202238 0.230928 0.269015 0.333017 0.488558 1 0
1 1 1 1 1 1 1 1 1 0
Page 13
J&T (Overall)
Ebar 2.00 N 5
Matrix J
1 2 3 4 5 6 7 8 9
1 0.094066694 0 0 0 0 0 0 0 0
2 0 0.154191836 0 0 0 0 0 0 0
3 0 0 0.201414921 0 0 0 0 0 0
4 0 0 0 0.241248703 0 0 0 0 0
5 0 0 0 0 0.278611587 0 0 0 0
6 0 0 0 0 0 0.315800988 0 0 0
7 0 0 0 0 0 0 0.350260228 0 0
8 0 0 0 0 0 0 0 0.387903298 0
9 0 0 0 0 0 0 0 0 0.425601754
10 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0 0 0
18 0 0 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0 0 0
20 0 0 0 0 0 0 0 0 0
Page 14
J&T (Overall)
Matrix T
1 2 3 4 5 6 7 8 9
1 1 0 0 0 0 0 0 0 0
2 -1.851277316 1 0 0 0 0 0 0 0
3 1.494228817 -3.30153663 1 0 0 0 0 0 0
4 -0.715594319 4.210908274 -3.577372219 1 0 0 0 0 0
5 0.147728994 -3.329918353 6.593041284 -4.80143636 1 0 0 0 0
6 -0.038315987 1.776018823 -6.547932386 8.776239195 -4.236659759 1 0 0 0
7 -0.004498857 -0.480898557 3.9595928 -9.702982519 8.809667003 -5.151332419 1 0 0
8 -0.004137525 0.119819899 -1.847690027 7.388194157 -10.86376069 11.27693164 -4.767329699 1 0
9 -0.003633604 -0.014150378 0.560301372 -3.725027567 8.539236155 -14.15754976 10.03468065 -4.815372177 1
10 -0.00314142 0.003825148 -0.120991475 1.28941724 -4.514275768 11.36573629 -12.22426253 10.14991308 -4.785925617
11 -0.002534527 0.001882951 0.010071651 -0.28019165 1.559086674 -5.90729493 9.265433978 -12.04554038 9.845560004
12 -0.002500931 0.001910434 -0.004457205 0.036637701 -0.335278922 2.026425993 -4.71178866 9.371065727 -12.15244362
13 -0.00191065 0.001435873 -0.002910791 -0.000362834 0.052702253 -0.507480141 1.693901028 -4.921596721 9.452870005
14 -0.001799172 0.001358813 -0.002787421 0.002534515 -0.003871029 0.061906756 -0.347297227 1.60709664 -4.72423391
15 -0.001546717 0.001160763 -0.002367277 0.002148519 -0.000805792 -0.005421276 0.051863618 -0.378364661 1.675819744
16 -0.00136505 0.001021704 -0.002079872 0.001885442 -0.000773214 -0.000137997 -0.00265222 0.051131702 -0.382635556
17 -0.001187651 0.00088605 -0.001799027 0.001627026 -0.000666802 -0.000226193 0.001043065 -0.006041173 0.058745544
18 -0.001035047 0.000770199 -0.00156063 0.001408929 -0.00057648 -0.000196548 0.000815841 -0.001485269 -0.002205024
19 -0.000909741 0.000675482 -0.001366368 0.001231704 -0.000503227 -0.000171368 0.00070858 -0.001378072 0.001947859
20 -0.006569298 0.004829503 -0.009692409 0.008676501 -0.003520398 -0.001190043 0.004883576 -0.009428689 0.012500567
Vector SiE
1 2 3 4 5 6 7 8 9
1 1.511001902 1.133521734 0.944464449 0.822362642 0.728049572 0.648163878 0.583627155 0.521310296 0.465782798
Matrix bij
1 2 3 4 5 6 7 8 9
1 0 0 0 0 0 0 0 0 0
2 0.462488148 0 0 0 0 0 0 0 0
3 0.204495346 0.550655124 0 0 0 0 0 0 0
4 0.055732944 0.11632837 0.462488148 0 0 0 0 0 0
Page 15
J&T (Overall)
5 0.046136776 0.071443864 0.204495346 0.550655124 0 0 0 0 0
6 0.024546824 0.03066937 0.056114214 0.117015216 0.464870139 0 0 0 0
7 0.025079844 0.02901413 0.040675537 0.063925886 0.187026563 0.512910581 0 0 0
8 0.021427203 0.024074356 0.029626793 0.037500502 0.071201006 0.154072913 0.509032201 0 0
9 0.019091048 0.021266088 0.025079844 0.02901413 0.040675537 0.064265078 0.157951293 0.512910581 0
10 0.016845631 0.018718315 0.021796098 0.024486301 0.030118739 0.038190894 0.064412659 0.155721075 0.513729497
11 0.013940975 0.015480059 0.017961082 0.020007815 0.023598499 0.027349671 0.036075337 0.060632526 0.149295485
12 0.013682796 0.015190346 0.017606702 0.019564643 0.022785497 0.02563727 0.030525112 0.040175284 0.068371171
13 0.010837939 0.012031346 0.013940975 0.015480059 0.017961082 0.020027943 0.023049115 0.027349671 0.036075337
14 0.010178915 0.011299575 0.013091976 0.014534458 0.016846644 0.018738653 0.021358305 0.024541081 0.029250857
15 0.008886038 0.00986431 0.011428759 0.012687234 0.014701033 0.016339856 0.018569758 0.021124131 0.024323369
16 0.007914332 0.008785615 0.010178915 0.011299575 0.013091976 0.01454835 0.016520049 0.018738653 0.021358305
17 0.006953394 0.007718886 0.008942997 0.009927539 0.011502015 0.012780749 0.014509459 0.016444569 0.01868869
18 0.0061093 0.006781865 0.007857373 0.008722386 0.010105659 0.011228963 0.01274693 0.014443637 0.016401117
19 0.005406435 0.006001623 0.006953394 0.007718886 0.008942997 0.009937016 0.011280121 0.012780749 0.014509459
20 0.040246112 0.044676758 0.051761847 0.057460246 0.066572614 0.073972063 0.083969662 0.095138041 0.107996713
1 1 1 1 1 1 1 1 1
Matrix Tij (inverse)
1 2 3 4 5 6 7 8 9
1 1 1.61081E-13 8.59329E-15 2.54192E-14 8.94916E-14 3.91337E-14 4.34022E-14 1.41128E-14 2.95266E-14
2 1.851277316 1 1.59086E-14 4.7058E-14 1.65674E-13 7.24474E-14 8.03495E-14 2.61268E-14 5.4662E-14
3 4.617831055 3.30153663 1 4.70704E-14 3.77469E-13 1.82805E-13 1.69079E-13 5.01893E-14 1.3229E-13
4 9.439735882 7.599917148 3.577372219 1 7.16748E-13 3.76897E-13 2.97571E-13 7.96275E-14 2.64204E-13
5 20.89561362 18.05326958 10.58348376 4.80143636 1 8.40195E-13 5.75513E-13 1.36274E-13 5.74023E-13
6 32.66988346 29.62908978 19.99067787 11.56581302 4.236659759 1 7.9277E-13 1.61293E-13 8.83497E-13
7 58.41366912 54.73601858 40.49324662 26.98327461 13.01477576 5.151332419 1 2.39676E-13 1.53828E-12
8 75.63815966 72.77656039 58.00495389 42.98474512 25.13296525 13.28116839 4.767329699 1 1.89243E-12
9 94.76202526 92.9761342 78.38830123 62.68700414 41.86694829 26.41934279 12.92178614 4.815372177 1
10 111.2615871 110.7457461 97.49167362 82.50615489 60.73224163 43.24380827 25.6789878 12.89609998 4.785925617
11 130.1254423 130.8211961 118.9237879 104.8808358 82.84157494 64.12545786 43.31270205 26.09291276 12.96215583
Page 16
J&T (Overall)
12 146.6833638 148.5136792 138.4504496 126.0665946 105.1879688 86.70901546 64.3989553 44.09329504 26.43697493
13 153.5411269 156.1774973 148.4145681 138.4537883 120.4776774 104.0975557 82.94507968 62.270825 42.4736461
14 172.8035184 176.2480407 169.8827851 161.3540859 144.913018 129.6487326 108.8088623 87.33266851 65.23684922
15 177.4534992 181.2436148 176.6205625 170.1087627 156.6453277 144.0134135 125.8845232 106.4120906 85.19465377
16 183.5542036 187.5441817 184.2490764 179.3211793 168.3341687 157.9999985 142.4856094 125.2947155 105.6972799
17 187.3012872 191.3046688 189.0658874 185.4507135 176.6802657 168.4736313 155.623893 141.0588366 123.8479424
18 191.8579302 195.7933962 194.3318066 191.7119162 184.7107805 178.2423943 167.6982714 155.5620173 140.8102953
19 195.8514897 199.6387073 198.7512299 196.894555 191.3346822 186.3006731 177.7617197 167.8455819 155.5238499
20 1 1 1 1 1 1 1 1 1
Page 17
J&T (Overall)
10 11 12 13 14 15 16 17 18 19
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0.46336446 0 0 0 0 0 0 0 0 0
0 0.499393157 0 0 0 0 0 0 0 0
0 0 0.535306749 0 0 0 0 0 0 0
0 0 0 0.570049326 0 0 0 0 0 0
0 0 0 0 0.6026165 0 0 0 0 0
0 0 0 0 0 0.634464844 0 0 0 0
0 0 0 0 0 0 0.66464796 0 0 0
0 0 0 0 0 0 0 0.69318239 0 0
0 0 0 0 0 0 0 0 0.719835401 0
0 0 0 0 0 0 0 0 0 0.7447
0 0 0 0 0 0 0 0 0 0
Page 18
J&T (Overall)
10 11 12 13 14 15 16 17 18 19
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
-4.765580927 1 0 0 0 0 0 0 0 0
10.36452167 -4.928837603 1 0 0 0 0 0 0 0
-12.55383604 10.15367434 -4.669910231 1 0 0 0 0 0 0
9.637760252 -12.26232375 9.897138131 -4.928761234 1 0 0 0 0 0
-5.089214546 9.625119072 -12.16319748 10.5209958 -4.791510833 1 0 0 0 0
1.790906451 -5.01794359 9.54319958 -12.95616285 10.1082992 -4.815723141 1 0 0 0
-0.424600848 1.774476315 -5.00747573 10.19335858 -12.30534645 10.14014735 -4.792616472 1 0 0
0.058968101 -0.408144101 1.755852648 -5.319924891 9.543831533 -12.30265052 10.06300604 -4.799308791 1 0
-0.006528682 0.059481873 -0.404748437 1.862495208 -4.929075517 9.542442991 -12.21881624 10.11266026 -4.808004261 1
-0.012395435 0.004497441 0.049141524 -0.372000612 1.373802072 -3.564216688 5.948426674 -6.313351474 3.808004261 -1
10 11 12 13 14 15 16 17 18 19
0.41578487 0.372443557 0.332823237 0.297419072 0.266507259 0.238157999 0.212824387 0.190112925 0.169890035 0.151818
10 11 12 13 14 15 16 17 18 19
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Page 19
J&T (Overall)
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0.496762999 0 0 0 0 0 0 0 0 0
0.170220496 0.524326758 0 0 0 0 0 0 0 0
0.061418933 0.142656736 0.496762999 0 0 0 0 0 0 0
0.038882091 0.064148702 0.165718215 0.512263537 0 0 0 0 0 0
0.029021771 0.037721018 0.065921213 0.154719957 0.509688892 0 0 0 0 0
0.024608791 0.028992896 0.038882091 0.064148702 0.157294602 0.512263537 0 0 0 0
0.02131088 0.024321369 0.029201472 0.037939313 0.06400123 0.155335821 0.511441987 0 0 0
0.018647167 0.021083977 0.02442909 0.028774601 0.03786849 0.063532838 0.155541508 0.510517063 0 0
0.016482611 0.018586878 0.02131088 0.024321369 0.028908939 0.037939313 0.06400123 0.156466432 0.511441987 0
0.122644261 0.138161665 0.157774039 0.177832521 0.202237846 0.23092849 0.269015275 0.333016506 0.488558013 1
1 1 1 1 1 1 1 1 1 1
10 11 12 13 14 15 16 17 18 19
2.44132E-14 1.29218E-14 1.49333E-14 1.10982E-14 4.55551E-15 2.30535E-16 7.07959E-16 2.87547E-16 -4.04705E-17 0
4.51956E-14 2.39219E-14 2.76457E-14 2.05459E-14 8.43351E-15 4.26784E-16 1.31063E-15 5.32329E-16 -7.49221E-17 0
1.12686E-13 5.95105E-14 6.89667E-14 5.12497E-14 2.10366E-14 1.06457E-15 3.26923E-15 1.32784E-15 -1.86886E-16 0
2.30275E-13 1.21405E-13 1.40992E-13 1.04764E-13 4.30028E-14 2.17619E-15 6.68294E-15 2.71437E-15 -3.82031E-16 0
5.09598E-13 2.68312E-13 3.12117E-13 2.31904E-13 9.51902E-14 4.81716E-15 1.47932E-14 6.00847E-15 -8.45656E-16 0
7.96574E-13 4.18949E-13 4.88013E-13 3.62577E-13 1.48828E-13 7.53154E-15 2.31289E-14 9.39413E-15 -1.32217E-15 0
1.40319E-12 7.42451E-13 8.50646E-13 6.37913E-13 2.60512E-13 1.28233E-14 3.98293E-14 1.66706E-14 -2.35015E-15 0
1.74431E-12 9.40115E-13 1.02528E-12 7.89987E-13 3.17913E-13 1.43716E-14 4.62775E-14 2.11485E-14 -2.99495E-15 0
2.04325E-12 1.13491E-12 1.13079E-12 9.17608E-13 3.59358E-13 1.35366E-14 4.73792E-14 2.56194E-14 -3.65571E-15 0
1 1.26561E-12 1.0927E-12 9.68305E-13 3.62895E-13 9.13687E-15 3.96029E-14 2.87554E-14 -4.14639E-15 0
4.765580927 1 9.87455E-13 9.83027E-13 3.46495E-13 0 2.6084E-14 3.08138E-14 -4.72679E-15 0
Page 20
J&T (Overall)
13.1242528 4.928837603 1 9.02424E-13 2.90799E-13 -1.81749E-14 5.72905E-15 2.84273E-14 -5.34674E-15 0
25.45476169 12.86355481 4.669910231 1 1.92478E-13 -4.55869E-14 -1.77282E-14 1.89945E-14 -5.85665E-15 0
44.36723573 26.88232744 13.11973438 4.928761234 1 -8.80095E-14 -4.40048E-14 5.2543E-15 -7.14256E-15 0
63.62945912 43.79486307 25.89444097 13.09521704 4.791510833 1 -7.22174E-14 -1.41856E-14 -8.38238E-15 0
84.61574922 63.81270031 43.04317595 26.19770938 12.9662904 4.815723141 1 -3.47238E-14 -1.05681E-14 0
104.491003 84.32351784 62.56427014 43.22489903 25.86117751 12.9397667 4.792616472 1 -1.36781E-14 0
123.6326105 104.9664793 83.56695398 63.2084669 43.04036964 25.94393552 12.93824033 4.799308791 1 0
140.783076 124.2320365 104.3147174 84.36423522 63.05205471 43.18308115 25.95982869 12.96243685 4.808004261 1
1 1 1 1 1 1 1 1 1 1
Page 21
J&T (Overall)
20 SiE
0 1 1.511001902
0 2 1.133521734
0 3 0.944464449
0 4 0.822362642
0 5 0.728049572
0 6 0.648163878
0 7 0.583627155
0 8 0.521310296
0 9 0.465782798
0 10 0.41578487
0 11 0.372443557
0 12 0.332823237
0 13 0.297419072
0 14 0.266507259
0 15 0.238157999
0 16 0.212824387
0 17 0.190112925
0 18 0.169890035
0 19 0.151818317
1 20 0
20
0
20
0
0
0
0
Page 23
Model (Overall)
Matrix J
1 2 3 4 5 6 7 8 9
1 0.094066694 0 0 0 0 0 0 0 0
2 0 0.154191836 0 0 0 0 0 0 0
3 0 0 0.201414921 0 0 0 0 0 0
4 0 0 0 0.241248703 0 0 0 0 0
5 0 0 0 0 0.278611587 0 0 0 0
6 0 0 0 0 0 0.315800988 0 0 0
7 0 0 0 0 0 0 0.350260228 0 0
8 0 0 0 0 0 0 0 0.387903298 0
9 0 0 0 0 0 0 0 0 0.425601754
10 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0 0 0
18 0 0 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0 0 0
20 0 0 0 0 0 0 0 0 0
Page 26
Model (Overall)
Matrix T
1 2 3 4 5 6 7 8 9
1 1 0 0 0 0 0 0 0 0
2 -1.851277316 1 0 0 0 0 0 0 0
3 1.494228817 -3.30153663 1 0 0 0 0 0 0
4 -0.715594319 4.210908274 -3.577372219 1 0 0 0 0 0
5 0.147728994 -3.329918353 6.593041284 -4.80143636 1 0 0 0 0
6 -0.038315987 1.776018823 -6.547932386 8.776239195 -4.236659759 1 0 0 0
7 -0.004498857 -0.480898557 3.9595928 -9.702982519 8.809667003 -5.151332419 1 0 0
8 -0.004137525 0.119819899 -1.847690027 7.388194157 -10.86376069 11.27693164 -4.767329699 1 0
9 -0.003633604 -0.014150378 0.560301372 -3.725027567 8.539236155 -14.15754976 10.03468065 -4.815372177 1
10 -0.00314142 0.003825148 -0.120991475 1.28941724 -4.514275768 11.36573629 -12.22426253 10.14991308 -4.785925617
11 -0.002534527 0.001882951 0.010071651 -0.28019165 1.559086674 -5.90729493 9.265433978 -12.04554038 9.845560004
12 -0.002500931 0.001910434 -0.004457205 0.036637701 -0.335278922 2.026425993 -4.71178866 9.371065727 -12.15244362
13 -0.00191065 0.001435873 -0.002910791 -0.000362834 0.052702253 -0.507480141 1.693901028 -4.921596721 9.452870005
14 -0.001799172 0.001358813 -0.002787421 0.002534515 -0.003871029 0.061906756 -0.347297227 1.60709664 -4.72423391
15 -0.001546717 0.001160763 -0.002367277 0.002148519 -0.000805792 -0.005421276 0.051863618 -0.378364661 1.675819744
16 -0.00136505 0.001021704 -0.002079872 0.001885442 -0.000773214 -0.000137997 -0.00265222 0.051131702 -0.382635556
17 -0.001187651 0.00088605 -0.001799027 0.001627026 -0.000666802 -0.000226193 0.001043065 -0.006041173 0.058745544
18 -0.001035047 0.000770199 -0.00156063 0.001408929 -0.00057648 -0.000196548 0.000815841 -0.001485269 -0.002205024
19 -0.000909741 0.000675482 -0.001366368 0.001231704 -0.000503227 -0.000171368 0.00070858 -0.001378072 0.001947859
20 -0.006569298 0.004829503 -0.009692409 0.008676501 -0.003520398 -0.001190043 0.004883576 -0.009428689 0.012500567
Matrix T (inverse)
1 2 3 4 5 6 7 8 9
1 1 1.61081E-13 8.59329E-15 2.54192E-14 8.94916E-14 3.91337E-14 4.34022E-14 1.41128E-14 2.95266E-14
2 1.851277316 1 1.59086E-14 4.7058E-14 1.65674E-13 7.24474E-14 8.03495E-14 2.61268E-14 5.4662E-14
3 4.617831055 3.30153663 1 4.70704E-14 3.77469E-13 1.82805E-13 1.69079E-13 5.01893E-14 1.3229E-13
4 9.439735882 7.599917148 3.577372219 1 7.16748E-13 3.76897E-13 2.97571E-13 7.96275E-14 2.64204E-13
Page 27
Model (Overall)
5 20.89561362 18.05326958 10.58348376 4.80143636 1 8.40195E-13 5.75513E-13 1.36274E-13 5.74023E-13
6 32.66988346 29.62908978 19.99067787 11.56581302 4.236659759 1 7.9277E-13 1.61293E-13 8.83497E-13
7 58.41366912 54.73601858 40.49324662 26.98327461 13.01477576 5.151332419 1 2.39676E-13 1.53828E-12
8 75.63815966 72.77656039 58.00495389 42.98474512 25.13296525 13.28116839 4.767329699 1 1.89243E-12
9 94.76202526 92.9761342 78.38830123 62.68700414 41.86694829 26.41934279 12.92178614 4.815372177 1
10 111.2615871 110.7457461 97.49167362 82.50615489 60.73224163 43.24380827 25.6789878 12.89609998 4.785925617
11 130.1254423 130.8211961 118.9237879 104.8808358 82.84157494 64.12545786 43.31270205 26.09291276 12.96215583
12 146.6833638 148.5136792 138.4504496 126.0665946 105.1879688 86.70901546 64.3989553 44.09329504 26.43697493
13 153.5411269 156.1774973 148.4145681 138.4537883 120.4776774 104.0975557 82.94507968 62.270825 42.4736461
14 172.8035184 176.2480407 169.8827851 161.3540859 144.913018 129.6487326 108.8088623 87.33266851 65.23684922
15 177.4534992 181.2436148 176.6205625 170.1087627 156.6453277 144.0134135 125.8845232 106.4120906 85.19465377
16 183.5542036 187.5441817 184.2490764 179.3211793 168.3341687 157.9999985 142.4856094 125.2947155 105.6972799
17 187.3012872 191.3046688 189.0658874 185.4507135 176.6802657 168.4736313 155.623893 141.0588366 123.8479424
18 191.8579302 195.7933962 194.3318066 191.7119162 184.7107805 178.2423943 167.6982714 155.5620173 140.8102953
19 195.8514897 199.6387073 198.7512299 196.894555 191.3346822 186.3006731 177.7617197 167.8455819 155.5238499
20 1 1 1 1 1 1 1 1 1
Matrix T*J
1 2 3 4 5 6 7 8 9
1 0.094066694 0 0 0 0 0 0 0 0
2 -0.174143538 0.154191836 0 0 0 0 0 0 0
3 0.140557166 -0.509069995 0.201414921 0 0 0 0 0 0
4 -0.067313592 0.649287679 -0.720536143 0.241248703 0 0 0 0 0
5 0.013896378 -0.513446225 1.327936889 -1.158340295 0.278611587 0 0 0 0
6 -0.003604258 0.273847603 -1.318851284 2.117256325 -1.180382498 0.315800988 0 0 0
7 -0.000423193 -0.074150632 0.797521071 -2.34083195 2.454475302 -1.626795865 0.350260228 0 0
8 -0.000389203 0.01847525 -0.372152341 1.782392259 -3.026769604 3.561266148 -1.669805986 0.387903298 0
9 -0.000341801 -0.002181873 0.112853056 -0.89865807 2.379130134 -4.470968196 3.514749529 -1.86789875 0.425601754
10 -0.000295503 0.000589807 -0.024369488 0.311070237 -1.257729535 3.589310745 -4.281672977 3.937184759 -2.036898335
11 -0.000238415 0.000290336 0.002028581 -0.067595872 0.434379612 -1.865529573 3.245313016 -4.672504843 4.190287602
Page 28
Model (Overall)
12 -0.000235254 0.000294573 -0.000897748 0.008838798 -0.093412593 0.63994733 -1.650352169 3.635067304 -5.172101312
13 -0.000179729 0.0002214 -0.000586277 -8.75331E-05 0.014683458 -0.16026273 0.59330616 -1.909103601 4.02315805
14 -0.000169242 0.000209518 -0.000561428 0.000611448 -0.001078514 0.019550215 -0.121644406 0.623398087 -2.010642236
15 -0.000145495 0.00017898 -0.000476805 0.000518327 -0.000224503 -0.001712044 0.018165763 -0.1467689 0.713231822
16 -0.000128406 0.000157538 -0.000418917 0.00045486 -0.000215426 -4.35794E-05 -0.000928967 0.019834156 -0.162850363
17 -0.000111718 0.000136622 -0.000362351 0.000392518 -0.000185779 -7.14319E-05 0.000365344 -0.002343391 0.025002207
18 -9.73634E-05 0.000118758 -0.000314334 0.000339902 -0.000160614 -6.207E-05 0.000285757 -0.000576141 -0.000938462
19 -8.55763E-05 0.000104154 -0.000275207 0.000297147 -0.000140205 -5.41183E-05 0.000248187 -0.000534559 0.000829012
20 -0.000617952 0.00074467 -0.001952196 0.002093195 -0.000980824 -0.000375817 0.001710522 -0.00365742 0.005320263
Matrix [T*J*T(inv.)]
1 2 3 4 5 6 7 8 9
1 0.094066694 1.51524E-14 8.08343E-16 2.3911E-15 8.41818E-15 3.68118E-15 4.0827E-15 1.32755E-15 2.77747E-15
2 0.111308311 0.154191836 9.56505E-16 2.82937E-15 9.96116E-15 4.35591E-15 4.83102E-15 1.57088E-15 3.28656E-15
3 0.128227508 0.155908744 0.201414921 -1.09023E-14 4.26696E-15 5.43943E-15 -7.48053E-16 -1.20782E-15 2.96866E-15
4 0.084707823 0.103881366 0.142500266 0.241248703 2.48078E-15 3.61308E-15 -7.90206E-16 -9.39382E-16 1.92279E-15
5 0.08288685 0.097345865 0.1328037 0.179395507 0.278611587 3.61302E-15 -4.70637E-16 -8.3849E-16 1.90837E-15
6 0.051836548 0.057716807 0.075879487 0.102220054 0.157558838 0.315800988 -7.51118E-17 -4.1578E-16 1.22259E-15
7 0.0488069 0.051439403 0.062815069 0.080126123 0.120853046 0.177511001 0.350260228 7.72919E-15 -6.5645E-15
8 0.041328238 0.041557303 0.046932945 0.05557994 0.078113009 0.111349462 0.179456928 0.387903298 -2.94128E-15
9 0.036910844 0.035994422 0.038255889 0.042200629 0.053648329 0.070915779 0.109395186 0.181532093 0.425601754
10 0.033251076 0.031863755 0.032596377 0.034150056 0.039517972 0.047532245 0.066550494 0.104355595 0.180729505
11 0.028513426 0.027080149 0.02715194 0.027614565 0.029968369 0.033278901 0.041646959 0.058732856 0.095214593
12 0.028234066 0.026703275 0.026509735 0.026547179 0.027748471 0.029190571 0.033180962 0.041270528 0.059031234
13 0.023427257 0.022101756 0.021841088 0.021713087 0.022281619 0.022767595 0.024373867 0.027463775 0.034319902
14 0.022265935 0.020985857 0.020699199 0.020514917 0.020882167 0.021052774 0.021862162 0.023229184 0.026197208
15 0.019936958 0.018777023 0.018504628 0.018314848 0.018577807 0.018617154 0.019059644 0.019654089 0.020856455
16 0.018101895 0.017040947 0.016787565 0.016605963 0.016821327 0.016815729 0.017113919 0.017418667 0.017956989
17 0.016207024 0.015251469 0.015022025 0.014855751 0.015040826 0.015021287 0.015252201 0.015441868 0.015725103
18 0.014471969 0.013614667 0.013408559 0.013258504 0.013421425 0.013398998 0.013593255 0.013734534 0.013919527
Page 29
Model (Overall)
19 0.01298345 0.012211366 0.012025771 0.011890356 0.012035924 0.012014062 0.01218453 0.012302025 0.012445366
20 0.102527228 0.096333991 0.094850836 0.093763818 0.094919285 0.094733455 0.096069666 0.096961489 0.098002365
Matrix [T*J*T(inv.)] (inverse)
1 2 3 4 5 6 7 8 9
1 10.63075518 -9.97219E-13 8.25678E-14 1.39456E-13 -2.32026E-13 -4.81848E-14 -9.76559E-14 1.32835E-15 -4.41054E-14
2 -7.674150805 6.485427664 1.56392E-16 3.37809E-29 -3.67162E-29 -2.67277E-30 1.96804E-29 -1.95207E-30 -7.18789E-31
3 -0.827585314 -5.020158771 4.964875468 1.94399E-13 1.20802E-13 -5.96095E-14 6.90041E-14 3.41447E-14 9.46923E-15
4 0.060619075 0.172680192 -2.932641981 4.145100002 7.66874E-28 -3.28697E-28 1.72767E-28 5.8067E-29 -9.39891E-29
5 -0.125879061 0.015749686 -0.478268109 -2.668992797 3.589226176 -5.05683E-16 -1.05857E-15 1.72817E-16 7.74821E-28
6 -0.100381427 -0.042824383 -0.00507286 -0.010097948 -1.790730012 3.166551212 -5.80788E-28 4.71522E-29 -1.99234E-28
7 -0.125452826 -0.075380238 -0.051924588 -0.022218864 -0.330881531 -1.604800178 2.855020127 -8.78312E-14 3.05682E-14
8 -0.10682552 -0.068155845 -0.058721114 -0.043283009 -0.055656781 -0.166539608 -1.320826977 2.577962097 6.83769E-28
9 -0.094157624 -0.060773029 -0.055963799 -0.048718848 -0.045264463 -0.044099319 -0.17047151 -1.099579244 2.349614379
10 -0.081557741 -0.052620502 -0.049308832 -0.044892966 -0.044700172 -0.039631125 -0.046093483 -0.15171288 -0.916437663
11 -0.065930419 -0.042393422 -0.039877387 -0.0367035 -0.03791779 -0.035562118 -0.034404651 -0.041382902 -0.13289602
12 -0.064795326 -0.041680758 -0.039244516 -0.036228106 -0.037896469 -0.036488693 -0.03652948 -0.036060649 -0.047523958
13 -0.049773671 -0.031853301 -0.029982072 -0.027667829 -0.0290608 -0.028201632 -0.028793519 -0.028532154 -0.028818579
14 -0.046723326 -0.029903245 -0.028147527 -0.025978615 -0.027311047 -0.026565498 -0.027323322 -0.027474892 -0.027541509
15 -0.040223447 -0.025683333 -0.024169978 -0.022297766 -0.02345272 -0.022823545 -0.023530894 -0.023801357 -0.024056539
16 -0.035499348 -0.022633002 -0.021296298 -0.019640896 -0.020662646 -0.020109532 -0.020747474 -0.021026942 -0.021347126
17 -0.030893821 -0.01966545 -0.018501171 -0.017057645 -0.017948275 -0.017466627 -0.01802497 -0.018278545 -0.018586837
18 -0.026926922 -0.017117334 -0.016101831 -0.014841535 -0.015618744 -0.015198365 -0.015685702 -0.015909103 -0.016185783
19 -0.023668481 -0.015028831 -0.014135681 -0.013026313 -0.01371015 -0.013340138 -0.013768641 -0.013965476 -0.014210639
20 -0.170949182 -0.107986098 -0.101517724 -0.093453366 -0.098414576 -0.095724834 -0.098819503 -0.100237954 -0.102009725
Page 30
Model (Overall)
Matrix { [T*J*T(inv.)] (inverse) - C} (Open Circuit: no C matrix)
1 2 3 4 5 6 7 8 9
1 10.63075518 -9.97219E-13 8.25678E-14 1.39456E-13 -2.32026E-13 -4.81848E-14 -9.76559E-14 1.32835E-15 -4.41054E-14
2 -7.674150805 6.485427664 1.56392E-16 3.37809E-29 -3.67162E-29 -2.67277E-30 1.96804E-29 -1.95207E-30 -7.18789E-31
3 -0.827585314 -5.020158771 4.964875468 1.94399E-13 1.20802E-13 -5.96095E-14 6.90041E-14 3.41447E-14 9.46923E-15
4 0.060619075 0.172680192 -2.932641981 4.145100002 7.66874E-28 -3.28697E-28 1.72767E-28 5.8067E-29 -9.39891E-29
5 -0.125879061 0.015749686 -0.478268109 -2.668992797 3.589226176 -5.05683E-16 -1.05857E-15 1.72817E-16 7.74821E-28
6 -0.100381427 -0.042824383 -0.00507286 -0.010097948 -1.790730012 3.166551212 -5.80788E-28 4.71522E-29 -1.99234E-28
7 -0.125452826 -0.075380238 -0.051924588 -0.022218864 -0.330881531 -1.604800178 2.855020127 -8.78312E-14 3.05682E-14
8 -0.10682552 -0.068155845 -0.058721114 -0.043283009 -0.055656781 -0.166539608 -1.320826977 2.577962097 6.83769E-28
9 -0.094157624 -0.060773029 -0.055963799 -0.048718848 -0.045264463 -0.044099319 -0.17047151 -1.099579244 2.349614379
10 -0.081557741 -0.052620502 -0.049308832 -0.044892966 -0.044700172 -0.039631125 -0.046093483 -0.15171288 -0.916437663
11 -0.065930419 -0.042393422 -0.039877387 -0.0367035 -0.03791779 -0.035562118 -0.034404651 -0.041382902 -0.13289602
12 -0.064795326 -0.041680758 -0.039244516 -0.036228106 -0.037896469 -0.036488693 -0.03652948 -0.036060649 -0.047523958
13 -0.049773671 -0.031853301 -0.029982072 -0.027667829 -0.0290608 -0.028201632 -0.028793519 -0.028532154 -0.028818579
14 -0.046723326 -0.029903245 -0.028147527 -0.025978615 -0.027311047 -0.026565498 -0.027323322 -0.027474892 -0.027541509
15 -0.040223447 -0.025683333 -0.024169978 -0.022297766 -0.02345272 -0.022823545 -0.023530894 -0.023801357 -0.024056539
16 -0.035499348 -0.022633002 -0.021296298 -0.019640896 -0.020662646 -0.020109532 -0.020747474 -0.021026942 -0.021347126
17 -0.030893821 -0.01966545 -0.018501171 -0.017057645 -0.017948275 -0.017466627 -0.01802497 -0.018278545 -0.018586837
18 -0.026926922 -0.017117334 -0.016101831 -0.014841535 -0.015618744 -0.015198365 -0.015685702 -0.015909103 -0.016185783
19 -0.023668481 -0.015028831 -0.014135681 -0.013026313 -0.01371015 -0.013340138 -0.013768641 -0.013965476 -0.014210639
20 -0.170949182 -0.107986098 -0.101517724 -0.093453366 -0.098414576 -0.095724834 -0.098819503 -0.100237954 -0.102009725
Matrix { [T*J*T(inv.)] (inverse) - C} (inverse)
1 2 3 4 5 6 7 8 9
1 0.094066694 1.51581E-14 8.05287E-16 2.3911E-15 8.41818E-15 3.68118E-15 4.0827E-15 1.32755E-15 2.77747E-15
2 0.111308311 0.154191836 9.48032E-16 2.82937E-15 9.96116E-15 4.35591E-15 4.83102E-15 1.57088E-15 3.28656E-15
Page 31
Model (Overall)
3 0.128227508 0.155908744 0.201414921 -1.09023E-14 4.26696E-15 5.43943E-15 -7.48053E-16 -1.20782E-15 2.96866E-15
4 0.084707823 0.103881366 0.142500266 0.241248703 2.48078E-15 3.61308E-15 -7.90206E-16 -9.39382E-16 1.92279E-15
5 0.08288685 0.097345865 0.1328037 0.179395507 0.278611587 3.61302E-15 -4.70637E-16 -8.3849E-16 1.90837E-15
6 0.051836548 0.057716807 0.075879487 0.102220054 0.157558838 0.315800988 -7.51118E-17 -4.1578E-16 1.22259E-15
7 0.0488069 0.051439403 0.062815069 0.080126123 0.120853046 0.177511001 0.350260228 7.72919E-15 -6.5645E-15
8 0.041328238 0.041557303 0.046932945 0.05557994 0.078113009 0.111349462 0.179456928 0.387903298 -2.94128E-15
9 0.036910844 0.035994422 0.038255889 0.042200629 0.053648329 0.070915779 0.109395186 0.181532093 0.425601754
10 0.033251076 0.031863755 0.032596377 0.034150056 0.039517972 0.047532245 0.066550494 0.104355595 0.180729505
11 0.028513426 0.027080149 0.02715194 0.027614565 0.029968369 0.033278901 0.041646959 0.058732856 0.095214593
12 0.028234066 0.026703275 0.026509735 0.026547179 0.027748471 0.029190571 0.033180962 0.041270528 0.059031234
13 0.023427257 0.022101756 0.021841088 0.021713087 0.022281619 0.022767595 0.024373867 0.027463775 0.034319902
14 0.022265935 0.020985857 0.020699199 0.020514917 0.020882167 0.021052774 0.021862162 0.023229184 0.026197208
15 0.019936958 0.018777023 0.018504628 0.018314848 0.018577807 0.018617154 0.019059644 0.019654089 0.020856455
16 0.018101895 0.017040947 0.016787565 0.016605963 0.016821327 0.016815729 0.017113919 0.017418667 0.017956989
17 0.016207024 0.015251469 0.015022025 0.014855751 0.015040826 0.015021287 0.015252201 0.015441868 0.015725103
18 0.014471969 0.013614667 0.013408559 0.013258504 0.013421425 0.013398998 0.013593255 0.013734534 0.013919527
19 0.01298345 0.012211366 0.012025771 0.011890356 0.012035924 0.012014062 0.01218453 0.012302025 0.012445366
20 0.102527228 0.096333991 0.094850836 0.093763818 0.094919285 0.094733455 0.096069666 0.096961489 0.098002365
Circuit Balance
1 2 3 4 5 6 7
Fresh Mill Mill Sump Cyclone Cyclone Cyclone
Feed Feed Discharge Water Feed U'flow O'flow
1 45.867 45.867 4.315 0.000 4.315 0.000 4.315
2 35.750 35.750 10.618 0.000 10.618 0.000 10.618
3 319.598 319.598 75.827 0.000 75.827 0.000 75.827
4 324.867 324.867 131.515 0.000 131.515 0.000 131.515
5 290.668 290.668 188.989 0.000 188.989 0.000 188.989
6 101.963 101.963 139.897 0.000 139.897 0.000 139.897
7 66.512 66.512 126.708 0.000 126.708 0.000 126.708
8 39.539 39.539 97.769 0.000 97.769 0.000 97.769
9 29.213 29.213 78.627 0.000 78.627 0.000 78.627
Page 32
Model (Overall)
10 23.961 23.961 65.444 0.000 65.444 0.000 65.444
11 19.410 19.410 53.710 0.000 53.710 0.000 53.710
12 18.933 18.933 51.869 0.000 51.869 0.000 51.869
13 14.915 14.915 42.769 0.000 42.769 0.000 42.769
14 13.874 13.874 40.441 0.000 40.441 0.000 40.441
15 11.924 11.924 36.138 0.000 36.138 0.000 36.138
16 10.396 10.396 32.705 0.000 32.705 0.000 32.705
17 8.894 8.894 29.153 0.000 29.153 0.000 29.153
18 7.577 7.577 25.880 0.000 25.880 0.000 25.880
19 6.477 6.477 23.052 0.000 23.052 0.000 23.052
20 34.664 34.664 169.576 0.000 169.576 0.000 169.576
Total 1425.000 1425.000 1425.000 0.000 1425.000 0.000 1425.000
CL = 0
Page 33
Model (Overall)
10 11 12 13 14 15 16 17 18
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0.46336446 0 0 0 0 0 0 0 0
0 0.499393157 0 0 0 0 0 0 0
0 0 0.535306749 0 0 0 0 0 0
0 0 0 0.570049326 0 0 0 0 0
0 0 0 0 0.6026165 0 0 0 0
0 0 0 0 0 0.634464844 0 0 0
0 0 0 0 0 0 0.66464796 0 0
0 0 0 0 0 0 0 0.69318239 0
0 0 0 0 0 0 0 0 0.719835401
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
Page 34
Model (Overall)
10 11 12 13 14 15 16 17 18
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
-4.765580927 1 0 0 0 0 0 0 0
10.36452167 -4.928837603 1 0 0 0 0 0 0
-12.55383604 10.15367434 -4.669910231 1 0 0 0 0 0
9.637760252 -12.26232375 9.897138131 -4.928761234 1 0 0 0 0
-5.089214546 9.625119072 -12.16319748 10.5209958 -4.791510833 1 0 0 0
1.790906451 -5.01794359 9.54319958 -12.95616285 10.1082992 -4.815723141 1 0 0
-0.424600848 1.774476315 -5.00747573 10.19335858 -12.30534645 10.14014735 -4.792616472 1 0
0.058968101 -0.408144101 1.755852648 -5.319924891 9.543831533 -12.30265052 10.06300604 -4.799308791 1
-0.006528682 0.059481873 -0.404748437 1.862495208 -4.929075517 9.542442991 -12.21881624 10.11266026 -4.808004261
-0.012395435 0.004497441 0.049141524 -0.372000612 1.373802072 -3.564216688 5.948426674 -6.313351474 3.808004261
10 11 12 13 14 15 16 17 18
2.44132E-14 1.29218E-14 1.49333E-14 1.10982E-14 4.55551E-15 2.30535E-16 7.07959E-16 2.87547E-16 -4.04705E-17
4.51956E-14 2.39219E-14 2.76457E-14 2.05459E-14 8.43351E-15 4.26784E-16 1.31063E-15 5.32329E-16 -7.49221E-17
1.12686E-13 5.95105E-14 6.89667E-14 5.12497E-14 2.10366E-14 1.06457E-15 3.26923E-15 1.32784E-15 -1.86886E-16
2.30275E-13 1.21405E-13 1.40992E-13 1.04764E-13 4.30028E-14 2.17619E-15 6.68294E-15 2.71437E-15 -3.82031E-16
Page 35
Model (Overall)
5.09598E-13 2.68312E-13 3.12117E-13 2.31904E-13 9.51902E-14 4.81716E-15 1.47932E-14 6.00847E-15 -8.45656E-16
7.96574E-13 4.18949E-13 4.88013E-13 3.62577E-13 1.48828E-13 7.53154E-15 2.31289E-14 9.39413E-15 -1.32217E-15
1.40319E-12 7.42451E-13 8.50646E-13 6.37913E-13 2.60512E-13 1.28233E-14 3.98293E-14 1.66706E-14 -2.35015E-15
1.74431E-12 9.40115E-13 1.02528E-12 7.89987E-13 3.17913E-13 1.43716E-14 4.62775E-14 2.11485E-14 -2.99495E-15
2.04325E-12 1.13491E-12 1.13079E-12 9.17608E-13 3.59358E-13 1.35366E-14 4.73792E-14 2.56194E-14 -3.65571E-15
1 1.26561E-12 1.0927E-12 9.68305E-13 3.62895E-13 9.13687E-15 3.96029E-14 2.87554E-14 -4.14639E-15
4.765580927 1 9.87455E-13 9.83027E-13 3.46495E-13 0 2.6084E-14 3.08138E-14 -4.72679E-15
13.1242528 4.928837603 1 9.02424E-13 2.90799E-13 -1.81749E-14 5.72905E-15 2.84273E-14 -5.34674E-15
25.45476169 12.86355481 4.669910231 1 1.92478E-13 -4.55869E-14 -1.77282E-14 1.89945E-14 -5.85665E-15
44.36723573 26.88232744 13.11973438 4.928761234 1 -8.80095E-14 -4.40048E-14 5.2543E-15 -7.14256E-15
63.62945912 43.79486307 25.89444097 13.09521704 4.791510833 1 -7.22174E-14 -1.41856E-14 -8.38238E-15
84.61574922 63.81270031 43.04317595 26.19770938 12.9662904 4.815723141 1 -3.47238E-14 -1.05681E-14
104.491003 84.32351784 62.56427014 43.22489903 25.86117751 12.9397667 4.792616472 1 -1.36781E-14
123.6326105 104.9664793 83.56695398 63.2084669 43.04036964 25.94393552 12.93824033 4.799308791 1
140.783076 124.2320365 104.3147174 84.36423522 63.05205471 43.18308115 25.95982869 12.96243685 4.808004261
1 1 1 1 1 1 1 1 1
10 11 12 13 14 15 16 17 18
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0.46336446 0 0 0 0 0 0 0 0
-2.208200833 0.499393157 0 0 0 0 0 0 0
Page 36
Model (Overall)
4.802550987 -2.461427772 0.535306749 0 0 0 0 0 0
-5.817001457 5.070675487 -2.499834463 0.570049326 0 0 0 0 0
4.465795576 -6.123720572 5.298004834 -2.809637018 0.6026165 0 0 0 0
-2.35816115 4.806718602 -6.511041699 5.997486562 -2.887443486 0.634464844 0 0 0
0.829842401 -2.505926692 5.108539139 -7.3856519 6.091427881 -3.055407032 0.66464796 0 0
-0.196744943 0.886161329 -2.680535552 5.810717189 -7.415404808 6.433567011 -3.185402762 0.69318239 0
0.027323722 -0.203824371 0.939919772 -3.032619598 5.751270352 -7.805599243 6.688356437 -3.32679634 0.719835401
-0.003025159 0.029704841 -0.21666457 1.061714138 -2.970342235 6.054344605 -8.121211289 7.009918016 -3.460971676
-0.005743604 0.002245991 0.02630579 -0.212058698 0.827875796 -2.261370185 3.953609654 -4.376304067 2.741136275
10 11 12 13 14 15 16 17 18
2.29647E-15 1.21551E-15 1.40473E-15 1.04397E-15 4.28522E-16 2.16856E-17 6.65953E-17 2.70486E-17 -3.80693E-18
2.71739E-15 1.43831E-15 1.6622E-15 1.23532E-15 5.07066E-16 2.56604E-17 7.88017E-17 3.20064E-17 -4.5047E-18
3.12035E-15 1.62463E-15 1.9163E-15 1.4231E-15 5.84142E-16 2.95609E-17 9.07798E-17 3.68715E-17 -5.18943E-18
2.06085E-15 1.07172E-15 1.26599E-15 9.40106E-16 3.85887E-16 1.95281E-17 5.99696E-17 2.43575E-17 -3.42817E-18
2.01688E-15 1.04975E-15 1.23872E-15 9.19896E-16 3.77592E-16 1.91083E-17 5.86805E-17 2.38339E-17 -3.35447E-18
1.26169E-15 6.57653E-16 7.74634E-16 5.75293E-16 2.36142E-16 1.19501E-17 3.66981E-17 1.49055E-17 -2.09785E-18
-6.11109E-15 -1.43404E-15 -6.9602E-15 -3.09232E-15 -1.73618E-15 -2.13982E-16 -4.99666E-16 -3.01256E-17 2.88634E-18
-2.73331E-15 -5.26192E-16 -3.32223E-15 -1.40322E-15 -8.15183E-16 -1.05872E-16 -2.4445E-16 -1.07417E-17 8.1827E-19
-9.26941E-17 -6.88993E-16 -2.36143E-15 -7.32269E-16 -4.76596E-16 -6.1837E-17 -1.40719E-16 -3.17866E-18 2.45938E-20
0.46336446 -1.85958E-16 -1.18136E-15 -3.24382E-16 -2.34683E-16 -3.51295E-17 -7.79628E-17 1.17073E-18 -4.21974E-19
0.171697672 0.499393157 4.31304E-15 -5.88475E-15 -1.65772E-15 -1.09208E-15 -3.27043E-17 -5.67673E-16 -3.1402E-17
0.097918842 0.17701226 0.535306749 -2.07621E-15 -6.09963E-16 -3.94758E-16 -2.68515E-17 -1.98324E-16 -1.16086E-17
0.049723222 0.082258133 0.162244717 0.570049326 -3.02913E-16 -2.07503E-16 -1.29735E-16 -9.0327E-17 -5.68737E-18
0.032851949 0.047099157 0.083420585 0.160515824 0.6026165 -1.15838E-16 -4.78049E-17 -5.01707E-17 -3.50497E-18
0.02344834 0.02894828 0.043303035 0.074421884 0.152601687 0.634464844 -2.71393E-15 4.14786E-16 -1.57568E-16
0.019000988 0.021102419 0.026625625 0.03857755 0.069430451 0.14535353 0.66464796 8.07762E-17 -3.73624E-17
0.016181651 0.016988034 0.01907067 0.023396852 0.034756823 0.06316763 0.136754581 0.69318239 6.15088E-17
0.01416153 0.014503903 0.015338878 0.016876904 0.020939932 0.031068367 0.057700913 0.127916029 0.719835401
Page 37
Model (Overall)
0.01260664 0.012785053 0.013179804 0.013744256 0.015218248 0.018749246 0.028033307 0.052770413 0.119548156
0.099044706 0.099909604 0.101509937 0.102417404 0.10443636 0.107196383 0.112863239 0.126131168 0.160616442
10 11 12 13 14 15 16 17 18
-4.02824E-14 -1.46722E-14 -2.14329E-14 -1.72903E-14 -7.39879E-15 -9.86728E-17 -9.82558E-16 -4.25197E-16 5.62219E-17
-2.12597E-30 6.43457E-31 -3.9181E-30 -1.70445E-31 -8.4391E-31 -5.25858E-32 -3.67613E-33 8.89059E-32 9.70234E-33
-9.81267E-18 3.25914E-16 -1.33464E-17 4.64897E-28 3.65467E-28 1.06198E-29 3.47191E-29 9.44804E-30 -3.11149E-30
6.81128E-29 -5.60871E-30 -3.41578E-29 2.02604E-29 -4.89171E-30 -7.68047E-31 -4.70095E-31 -6.65548E-31 -7.81608E-33
-3.50545E-28 5.99766E-29 1.79786E-28 5.26512E-28 2.4334E-28 4.26946E-30 2.43299E-29 1.19442E-29 -1.7451E-30
3.06303E-28 2.41063E-28 -1.6537E-28 -7.98233E-29 -4.9879E-29 -1.28115E-30 -1.72641E-29 -4.80206E-30 8.34353E-32
3.6731E-14 -4.09738E-15 3.47788E-14 1.54755E-14 8.88748E-15 4.78645E-16 2.25828E-15 1.8544E-16 -1.92821E-17
1.75309E-27 1.17115E-28 1.53389E-27 1.44444E-27 5.26685E-28 1.20308E-29 6.64435E-29 3.11698E-29 -2.1644E-30
-7.61635E-15 1.63758E-15 2.22641E-15 -7.73385E-18 1.28853E-16 3.3456E-30 -2.13377E-29 -2.89095E-29 -7.98905E-30
2.158128398 1.21944E-27 -6.10825E-28 2.17915E-28 1.76575E-28 -2.94047E-30 -6.63661E-29 7.08796E-29 -8.09371E-31
-0.741991787 2.002430321 -2.49936E-14 1.85875E-14 4.25156E-15 3.30218E-15 -3.75375E-16 1.63256E-15 8.57518E-17
-0.149409271 -0.662152528 1.868087788 2.48894E-27 5.37158E-28 2.47559E-30 1.99941E-28 6.15346E-29 -1.12437E-29
-0.038651696 -0.10049206 -0.531686225 1.754234159 1.48017E-17 -9.88876E-18 2.92694E-16 6.03141E-29 -1.33987E-29
-0.028680793 -0.038075732 -0.116978084 -0.467266233 1.659430169 7.60826E-29 1.63918E-29 -5.56632E-29 2.44642E-29
-0.024275572 -0.025225149 -0.03699768 -0.093382314 -0.399126676 1.576131458 6.55878E-15 -1.07349E-15 3.39907E-16
-0.021604953 -0.021724253 -0.02366406 -0.032585824 -0.086061369 -0.344688142 1.504555885 -4.86959E-30 -1.31906E-29
-0.018867438 -0.018971584 -0.019543039 -0.020842809 -0.029855558 -0.075626282 -0.296826511 1.44262176 -1.57236E-16
-0.016450541 -0.016571978 -0.016971765 -0.017189932 -0.018842246 -0.026957825 -0.067856317 -0.256356448 1.389206475
-0.014449269 -0.014568635 -0.014926686 -0.015013333 -0.015482299 -0.0170202 -0.024710524 -0.06107267 -0.223012108
-0.103747078 -0.104648403 -0.107320249 -0.107953715 -0.110062021 -0.111839009 -0.115162534 -0.125192642 -0.166194367
Page 38
Model (Overall)
10 11 12 13 14 15 16 17 18
-4.02824E-14 -1.46722E-14 -2.14329E-14 -1.72903E-14 -7.39879E-15 -9.86728E-17 -9.82558E-16 -4.25197E-16 5.62219E-17
-2.12597E-30 6.43457E-31 -3.9181E-30 -1.70445E-31 -8.4391E-31 -5.25858E-32 -3.67613E-33 8.89059E-32 9.70234E-33
-9.81267E-18 3.25914E-16 -1.33464E-17 4.64897E-28 3.65467E-28 1.06198E-29 3.47191E-29 9.44804E-30 -3.11149E-30
6.81128E-29 -5.60871E-30 -3.41578E-29 2.02604E-29 -4.89171E-30 -7.68047E-31 -4.70095E-31 -6.65548E-31 -7.81608E-33
-3.50545E-28 5.99766E-29 1.79786E-28 5.26512E-28 2.4334E-28 4.26946E-30 2.43299E-29 1.19442E-29 -1.7451E-30
3.06303E-28 2.41063E-28 -1.6537E-28 -7.98233E-29 -4.9879E-29 -1.28115E-30 -1.72641E-29 -4.80206E-30 8.34353E-32
3.6731E-14 -4.09738E-15 3.47788E-14 1.54755E-14 8.88748E-15 4.78645E-16 2.25828E-15 1.8544E-16 -1.92821E-17
1.75309E-27 1.17115E-28 1.53389E-27 1.44444E-27 5.26685E-28 1.20308E-29 6.64435E-29 3.11698E-29 -2.1644E-30
-7.61635E-15 1.63758E-15 2.22641E-15 -7.73385E-18 1.28853E-16 3.3456E-30 -2.13377E-29 -2.89095E-29 -7.98905E-30
2.158128398 1.21944E-27 -6.10825E-28 2.17915E-28 1.76575E-28 -2.94047E-30 -6.63661E-29 7.08796E-29 -8.09371E-31
-0.741991787 2.002430321 -2.49936E-14 1.85875E-14 4.25156E-15 3.30218E-15 -3.75375E-16 1.63256E-15 8.57518E-17
-0.149409271 -0.662152528 1.868087788 2.48894E-27 5.37158E-28 2.47559E-30 1.99941E-28 6.15346E-29 -1.12437E-29
-0.038651696 -0.10049206 -0.531686225 1.754234159 1.48017E-17 -9.88876E-18 2.92694E-16 6.03141E-29 -1.33987E-29
-0.028680793 -0.038075732 -0.116978084 -0.467266233 1.659430169 7.60826E-29 1.63918E-29 -5.56632E-29 2.44642E-29
-0.024275572 -0.025225149 -0.03699768 -0.093382314 -0.399126676 1.576131458 6.55878E-15 -1.07349E-15 3.39907E-16
-0.021604953 -0.021724253 -0.02366406 -0.032585824 -0.086061369 -0.344688142 1.504555885 -4.86959E-30 -1.31906E-29
-0.018867438 -0.018971584 -0.019543039 -0.020842809 -0.029855558 -0.075626282 -0.296826511 1.44262176 -1.57236E-16
-0.016450541 -0.016571978 -0.016971765 -0.017189932 -0.018842246 -0.026957825 -0.067856317 -0.256356448 1.389206475
-0.014449269 -0.014568635 -0.014926686 -0.015013333 -0.015482299 -0.0170202 -0.024710524 -0.06107267 -0.223012108
-0.103747078 -0.104648403 -0.107320249 -0.107953715 -0.110062021 -0.111839009 -0.115162534 -0.125192642 -0.166194367
10 11 12 13 14 15 16 17 18
2.29647E-15 1.21551E-15 1.40473E-15 1.04397E-15 4.28522E-16 2.16856E-17 6.65953E-17 2.70486E-17 -3.80693E-18
2.71739E-15 1.43831E-15 1.6622E-15 1.23532E-15 5.07066E-16 2.56604E-17 7.88017E-17 3.20064E-17 -4.5047E-18
Page 39
Model (Overall)
3.12035E-15 1.62463E-15 1.9163E-15 1.4231E-15 5.84142E-16 2.95609E-17 9.07798E-17 3.68715E-17 -5.18943E-18
2.06085E-15 1.07172E-15 1.26599E-15 9.40106E-16 3.85887E-16 1.95281E-17 5.99696E-17 2.43575E-17 -3.42817E-18
2.01688E-15 1.04975E-15 1.23872E-15 9.19896E-16 3.77592E-16 1.91083E-17 5.86805E-17 2.38339E-17 -3.35447E-18
1.26169E-15 6.57653E-16 7.74634E-16 5.75293E-16 2.36142E-16 1.19501E-17 3.66981E-17 1.49055E-17 -2.09785E-18
-6.11109E-15 -1.43404E-15 -6.9602E-15 -3.09232E-15 -1.73618E-15 -2.13982E-16 -4.99666E-16 -3.01256E-17 2.88634E-18
-2.73331E-15 -5.26192E-16 -3.32223E-15 -1.40322E-15 -8.15183E-16 -1.05872E-16 -2.4445E-16 -1.07417E-17 8.1827E-19
-9.26941E-17 -6.88993E-16 -2.36143E-15 -7.32269E-16 -4.76596E-16 -6.1837E-17 -1.40719E-16 -3.17866E-18 2.45938E-20
0.46336446 -1.85958E-16 -1.18136E-15 -3.24382E-16 -2.34683E-16 -3.51295E-17 -7.79628E-17 1.17073E-18 -4.21974E-19
0.171697672 0.499393157 4.31304E-15 -5.88475E-15 -1.65772E-15 -1.09208E-15 -3.27043E-17 -5.67673E-16 -3.1402E-17
0.097918842 0.17701226 0.535306749 -2.07621E-15 -6.09963E-16 -3.94758E-16 -2.68515E-17 -1.98324E-16 -1.16086E-17
0.049723222 0.082258133 0.162244717 0.570049326 -3.02913E-16 -2.07503E-16 -1.29735E-16 -9.0327E-17 -5.68737E-18
0.032851949 0.047099157 0.083420585 0.160515824 0.6026165 -1.15838E-16 -4.78049E-17 -5.01707E-17 -3.50497E-18
0.02344834 0.02894828 0.043303035 0.074421884 0.152601687 0.634464844 -2.71393E-15 4.14786E-16 -1.57568E-16
0.019000988 0.021102419 0.026625625 0.03857755 0.069430451 0.14535353 0.66464796 8.07762E-17 -3.73624E-17
0.016181651 0.016988034 0.01907067 0.023396852 0.034756823 0.06316763 0.136754581 0.69318239 6.15088E-17
0.01416153 0.014503903 0.015338878 0.016876904 0.020939932 0.031068367 0.057700913 0.127916029 0.719835401
0.01260664 0.012785053 0.013179804 0.013744256 0.015218248 0.018749246 0.028033307 0.052770413 0.119548156
0.099044706 0.099909604 0.101509937 0.102417404 0.10443636 0.107196383 0.112863239 0.126131168 0.160616442
Page 40
Model (Overall)
19 20
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0.744699804 0
0 1
0
Page 42
Model (Overall)
19 20
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
1 0
-1 1
19 20
0 0
0 0
0 0
0 0
Page 43
Model (Overall)
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
1 0
1 1
19 20
0 0
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0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
Page 44
Model (Overall)
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0.744699804 0
-0.744699804 1
19 20
0 0
0 0
0 0
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0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
Page 45
Model (Overall)
0.744699804 0
0.255300196 1
19 20
0 0
0 0
0 0
0 0
0 0
0 0
0 0
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0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
1.342822966 0
-0.342822966 1
Page 46
Model (Overall)
19 20
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
1.342822966 0
-0.342822966 1
Fresh Mill
19 20 Feed Discharge
0 0 1 45.87 1 4.31452427
0 0 2 35.75 2 10.61762165
Page 47
Model (Overall)
0 0 3 319.60 3 75.82678458
0 0 4 324.87 4 131.515435
0 0 5 290.67 5 188.9886097
0 0 6 101.96 6 139.8970935
0 0 7 66.51 7 126.7077368
0 0 8 39.54 8 97.76899733
0 0 9 29.21 9 78.62736378
0 0 10 23.96 10 65.44405792
0 0 11 19.41 11 53.70960638
0 0 12 18.93 12 51.86851817
0 0 13 14.92 13 42.76868508
0 0 14 13.87 14 40.44108509
0 0 15 11.92 15 36.13779751
0 0 16 10.40 16 32.70523481
0 0 17 8.89 17 29.15348735
0 0 18 7.58 18 25.88000618
0.744699804 0 19 6.48 19 23.0518534
0.255300196 1 20 34.66 20 169.5758138
1425.000312 1425.000312
Page 48
J&T (Center)
L 1.40 Le 0.163685773
Ebar 2.26 N 5
Matrix J
1 2 3 4 5 6 7 8 9
1 0.07374715 0 0 0 0 0 0 0 0
2 0 0.125943364 0 0 0 0 0 0 0
3 0 0 0.168522258 0 0 0 0 0 0
4 0 0 0 0.205325763 0 0 0 0 0
5 0 0 0 0 0.240495163 0 0 0 0
6 0 0 0 0 0 0.276066537 0 0 0
7 0 0 0 0 0 0 0.309490628 0 0
8 0 0 0 0 0 0 0 0.346477675 0
9 0 0 0 0 0 0 0 0 0.383984843
10 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0 0 0
18 0 0 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0 0 0
20 0 0 0 0 0 0 0 0 0
Page 49
J&T (Center)
Matrix T
1 2 3 4 5 6 7 8 9
1 1 0 0 0 0 0 0 0 0
2 -1.851277316 1 0 0 0 0 0 0 0
3 1.494228817 -3.30153663 1 0 0 0 0 0 0
4 -0.715594319 4.210908274 -3.577372219 1 0 0 0 0 0
5 0.147728994 -3.329918353 6.593041284 -4.80143636 1 0 0 0 0
6 -0.038315987 1.776018823 -6.547932386 8.776239195 -4.236659759 1 0 0 0
7 -0.004498857 -0.480898557 3.9595928 -9.702982519 8.809667003 -5.151332419 1 0 0
8 -0.004137525 0.119819899 -1.847690027 7.388194157 -10.86376069 11.27693164 -4.767329699 1 0
9 -0.003633604 -0.014150378 0.560301372 -3.725027567 8.539236155 -14.15754976 10.03468065 -4.815372177 1
10 -0.00314142 0.003825148 -0.120991475 1.28941724 -4.514275768 11.36573629 -12.22426253 10.14991308 -4.785925617
11 -0.002534527 0.001882951 0.010071651 -0.28019165 1.559086674 -5.90729493 9.265433978 -12.04554038 9.845560004
12 -0.002500931 0.001910434 -0.004457205 0.036637701 -0.335278922 2.026425993 -4.71178866 9.371065727 -12.15244362
13 -0.00191065 0.001435873 -0.002910791 -0.000362834 0.052702253 -0.507480141 1.693901028 -4.921596721 9.452870005
14 -0.001799172 0.001358813 -0.002787421 0.002534515 -0.003871029 0.061906756 -0.347297227 1.60709664 -4.72423391
15 -0.001546717 0.001160763 -0.002367277 0.002148519 -0.000805792 -0.005421276 0.051863618 -0.378364661 1.675819744
16 -0.00136505 0.001021704 -0.002079872 0.001885442 -0.000773214 -0.000137997 -0.00265222 0.051131702 -0.382635556
17 -0.001187651 0.00088605 -0.001799027 0.001627026 -0.000666802 -0.000226193 0.001043065 -0.006041173 0.058745544
18 -0.001035047 0.000770199 -0.00156063 0.001408929 -0.00057648 -0.000196548 0.000815841 -0.001485269 -0.002205024
19 -0.000909741 0.000675482 -0.001366368 0.001231704 -0.000503227 -0.000171368 0.00070858 -0.001378072 0.001947859
20 -0.006569298 0.004829503 -0.009692409 0.008676501 -0.003520398 -0.001190043 0.004883576 -0.009428689 0.012500567
Vector SiE
1 2 3 4 5 6 7 8 9
1 1.511001902 1.133521734 0.944464449 0.822362642 0.728049572 0.648163878 0.583627155 0.521310296 0.465782798
Matrix bij
1 2 3 4 5 6 7 8 9
1 0 0 0 0 0 0 0 0 0
2 0.462488148 0 0 0 0 0 0 0 0
3 0.204495346 0.550655124 0 0 0 0 0 0 0
4 0.055732944 0.11632837 0.462488148 0 0 0 0 0 0
Page 50
J&T (Center)
5 0.046136776 0.071443864 0.204495346 0.550655124 0 0 0 0 0
6 0.024546824 0.03066937 0.056114214 0.117015216 0.464870139 0 0 0 0
7 0.025079844 0.02901413 0.040675537 0.063925886 0.187026563 0.512910581 0 0 0
8 0.021427203 0.024074356 0.029626793 0.037500502 0.071201006 0.154072913 0.509032201 0 0
9 0.019091048 0.021266088 0.025079844 0.02901413 0.040675537 0.064265078 0.157951293 0.512910581 0
10 0.016845631 0.018718315 0.021796098 0.024486301 0.030118739 0.038190894 0.064412659 0.155721075 0.513729497
11 0.013940975 0.015480059 0.017961082 0.020007815 0.023598499 0.027349671 0.036075337 0.060632526 0.149295485
12 0.013682796 0.015190346 0.017606702 0.019564643 0.022785497 0.02563727 0.030525112 0.040175284 0.068371171
13 0.010837939 0.012031346 0.013940975 0.015480059 0.017961082 0.020027943 0.023049115 0.027349671 0.036075337
14 0.010178915 0.011299575 0.013091976 0.014534458 0.016846644 0.018738653 0.021358305 0.024541081 0.029250857
15 0.008886038 0.00986431 0.011428759 0.012687234 0.014701033 0.016339856 0.018569758 0.021124131 0.024323369
16 0.007914332 0.008785615 0.010178915 0.011299575 0.013091976 0.01454835 0.016520049 0.018738653 0.021358305
17 0.006953394 0.007718886 0.008942997 0.009927539 0.011502015 0.012780749 0.014509459 0.016444569 0.01868869
18 0.0061093 0.006781865 0.007857373 0.008722386 0.010105659 0.011228963 0.01274693 0.014443637 0.016401117
19 0.005406435 0.006001623 0.006953394 0.007718886 0.008942997 0.009937016 0.011280121 0.012780749 0.014509459
20 0.040246112 0.044676758 0.051761847 0.057460246 0.066572614 0.073972063 0.083969662 0.095138041 0.107996713
1 1 1 1 1 1 1 1 1
Matrix Tij (inverse)
1 2 3 4 5 6 7 8 9
1 1 1.61081E-13 8.59329E-15 2.54192E-14 8.94916E-14 3.91337E-14 4.34022E-14 1.41128E-14 2.95266E-14
2 1.851277316 1 1.59086E-14 4.7058E-14 1.65674E-13 7.24474E-14 8.03495E-14 2.61268E-14 5.4662E-14
3 4.617831055 3.30153663 1 4.70704E-14 3.77469E-13 1.82805E-13 1.69079E-13 5.01893E-14 1.3229E-13
4 9.439735882 7.599917148 3.577372219 1 7.16748E-13 3.76897E-13 2.97571E-13 7.96275E-14 2.64204E-13
5 20.89561362 18.05326958 10.58348376 4.80143636 1 8.40195E-13 5.75513E-13 1.36274E-13 5.74023E-13
6 32.66988346 29.62908978 19.99067787 11.56581302 4.236659759 1 7.9277E-13 1.61293E-13 8.83497E-13
7 58.41366912 54.73601858 40.49324662 26.98327461 13.01477576 5.151332419 1 2.39676E-13 1.53828E-12
8 75.63815966 72.77656039 58.00495389 42.98474512 25.13296525 13.28116839 4.767329699 1 1.89243E-12
9 94.76202526 92.9761342 78.38830123 62.68700414 41.86694829 26.41934279 12.92178614 4.815372177 1
10 111.2615871 110.7457461 97.49167362 82.50615489 60.73224163 43.24380827 25.6789878 12.89609998 4.785925617
11 130.1254423 130.8211961 118.9237879 104.8808358 82.84157494 64.12545786 43.31270205 26.09291276 12.96215583
Page 51
J&T (Center)
12 146.6833638 148.5136792 138.4504496 126.0665946 105.1879688 86.70901546 64.3989553 44.09329504 26.43697493
13 153.5411269 156.1774973 148.4145681 138.4537883 120.4776774 104.0975557 82.94507968 62.270825 42.4736461
14 172.8035184 176.2480407 169.8827851 161.3540859 144.913018 129.6487326 108.8088623 87.33266851 65.23684922
15 177.4534992 181.2436148 176.6205625 170.1087627 156.6453277 144.0134135 125.8845232 106.4120906 85.19465377
16 183.5542036 187.5441817 184.2490764 179.3211793 168.3341687 157.9999985 142.4856094 125.2947155 105.6972799
17 187.3012872 191.3046688 189.0658874 185.4507135 176.6802657 168.4736313 155.623893 141.0588366 123.8479424
18 191.8579302 195.7933962 194.3318066 191.7119162 184.7107805 178.2423943 167.6982714 155.5620173 140.8102953
19 195.8514897 199.6387073 198.7512299 196.894555 191.3346822 186.3006731 177.7617197 167.8455819 155.5238499
20 1 1 1 1 1 1 1 1 1
Page 52
J&T (Center)
10 11 12 13 14 15 16 17 18 19
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0.421995834 0 0 0 0 0 0 0 0 0
0 0.458650182 0 0 0 0 0 0 0 0
0 0 0.495547176 0 0 0 0 0 0 0
0 0 0 0.531568139 0 0 0 0 0 0
0 0 0 0 0.565614295 0 0 0 0 0
0 0 0 0 0 0.599162356 0 0 0 0
0 0 0 0 0 0 0.631180192 0 0 0
0 0 0 0 0 0 0 0.661643655 0 0
0 0 0 0 0 0 0 0 0.690264824 0
0 0 0 0 0 0 0 0 0 0.717107
0 0 0 0 0 0 0 0 0 0
Page 53
J&T (Center)
10 11 12 13 14 15 16 17 18 19
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0
-4.765580927 1 0 0 0 0 0 0 0 0
10.36452167 -4.928837603 1 0 0 0 0 0 0 0
-12.55383604 10.15367434 -4.669910231 1 0 0 0 0 0 0
9.637760252 -12.26232375 9.897138131 -4.928761234 1 0 0 0 0 0
-5.089214546 9.625119072 -12.16319748 10.5209958 -4.791510833 1 0 0 0 0
1.790906451 -5.01794359 9.54319958 -12.95616285 10.1082992 -4.815723141 1 0 0 0
-0.424600848 1.774476315 -5.00747573 10.19335858 -12.30534645 10.14014735 -4.792616472 1 0 0
0.058968101 -0.408144101 1.755852648 -5.319924891 9.543831533 -12.30265052 10.06300604 -4.799308791 1 0
-0.006528682 0.059481873 -0.404748437 1.862495208 -4.929075517 9.542442991 -12.21881624 10.11266026 -4.808004261 1
-0.012395435 0.004497441 0.049141524 -0.372000612 1.373802072 -3.564216688 5.948426674 -6.313351474 3.808004261 -1
10 11 12 13 14 15 16 17 18 19
0.41578487 0.372443557 0.332823237 0.297419072 0.266507259 0.238157999 0.212824387 0.190112925 0.169890035 0.151818
10 11 12 13 14 15 16 17 18 19
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Page 54
J&T (Center)
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0.496762999 0 0 0 0 0 0 0 0 0
0.170220496 0.524326758 0 0 0 0 0 0 0 0
0.061418933 0.142656736 0.496762999 0 0 0 0 0 0 0
0.038882091 0.064148702 0.165718215 0.512263537 0 0 0 0 0 0
0.029021771 0.037721018 0.065921213 0.154719957 0.509688892 0 0 0 0 0
0.024608791 0.028992896 0.038882091 0.064148702 0.157294602 0.512263537 0 0 0 0
0.02131088 0.024321369 0.029201472 0.037939313 0.06400123 0.155335821 0.511441987 0 0 0
0.018647167 0.021083977 0.02442909 0.028774601 0.03786849 0.063532838 0.155541508 0.510517063 0 0
0.016482611 0.018586878 0.02131088 0.024321369 0.028908939 0.037939313 0.06400123 0.156466432 0.511441987 0
0.122644261 0.138161665 0.157774039 0.177832521 0.202237846 0.23092849 0.269015275 0.333016506 0.488558013 1
1 1 1 1 1 1 1 1 1 1
10 11 12 13 14 15 16 17 18 19
2.44132E-14 1.29218E-14 1.49333E-14 1.10982E-14 4.55551E-15 2.30535E-16 7.07959E-16 2.87547E-16 -4.04705E-17 0
4.51956E-14 2.39219E-14 2.76457E-14 2.05459E-14 8.43351E-15 4.26784E-16 1.31063E-15 5.32329E-16 -7.49221E-17 0
1.12686E-13 5.95105E-14 6.89667E-14 5.12497E-14 2.10366E-14 1.06457E-15 3.26923E-15 1.32784E-15 -1.86886E-16 0
2.30275E-13 1.21405E-13 1.40992E-13 1.04764E-13 4.30028E-14 2.17619E-15 6.68294E-15 2.71437E-15 -3.82031E-16 0
5.09598E-13 2.68312E-13 3.12117E-13 2.31904E-13 9.51902E-14 4.81716E-15 1.47932E-14 6.00847E-15 -8.45656E-16 0
7.96574E-13 4.18949E-13 4.88013E-13 3.62577E-13 1.48828E-13 7.53154E-15 2.31289E-14 9.39413E-15 -1.32217E-15 0
1.40319E-12 7.42451E-13 8.50646E-13 6.37913E-13 2.60512E-13 1.28233E-14 3.98293E-14 1.66706E-14 -2.35015E-15 0
1.74431E-12 9.40115E-13 1.02528E-12 7.89987E-13 3.17913E-13 1.43716E-14 4.62775E-14 2.11485E-14 -2.99495E-15 0
2.04325E-12 1.13491E-12 1.13079E-12 9.17608E-13 3.59358E-13 1.35366E-14 4.73792E-14 2.56194E-14 -3.65571E-15 0
1 1.26561E-12 1.0927E-12 9.68305E-13 3.62895E-13 9.13687E-15 3.96029E-14 2.87554E-14 -4.14639E-15 0
4.765580927 1 9.87455E-13 9.83027E-13 3.46495E-13 0 2.6084E-14 3.08138E-14 -4.72679E-15 0
Page 55
J&T (Center)
13.1242528 4.928837603 1 9.02424E-13 2.90799E-13 -1.81749E-14 5.72905E-15 2.84273E-14 -5.34674E-15 0
25.45476169 12.86355481 4.669910231 1 1.92478E-13 -4.55869E-14 -1.77282E-14 1.89945E-14 -5.85665E-15 0
44.36723573 26.88232744 13.11973438 4.928761234 1 -8.80095E-14 -4.40048E-14 5.2543E-15 -7.14256E-15 0
63.62945912 43.79486307 25.89444097 13.09521704 4.791510833 1 -7.22174E-14 -1.41856E-14 -8.38238E-15 0
84.61574922 63.81270031 43.04317595 26.19770938 12.9662904 4.815723141 1 -3.47238E-14 -1.05681E-14 0
104.491003 84.32351784 62.56427014 43.22489903 25.86117751 12.9397667 4.792616472 1 -1.36781E-14 0
123.6326105 104.9664793 83.56695398 63.2084669 43.04036964 25.94393552 12.93824033 4.799308791 1 0
140.783076 124.2320365 104.3147174 84.36423522 63.05205471 43.18308115 25.95982869 12.96243685 4.808004261 1
1 1 1 1 1 1 1 1 1 1
Page 56
J&T (Center)
20 SiE
0 1 1.511001902
0 2 1.133521734
0 3 0.944464449
0 4 0.822362642
0 5 0.728049572
0 6 0.648163878
0 7 0.583627155
0 8 0.521310296
0 9 0.465782798
0 10 0.41578487
0 11 0.372443557
0 12 0.332823237
0 13 0.297419072
0 14 0.266507259
0 15 0.238157999
0 16 0.212824387
0 17 0.190112925
0 18 0.169890035
0 19 0.151818317
1 20 0
20
0
20
0
0
0
0
Page 58
Model (Center)
Matrix J
1 2 3 4 5 6 7 8 9
1 0.07374715 0 0 0 0 0 0 0 0
2 0 0.125943364 0 0 0 0 0 0 0
3 0 0 0.168522258 0 0 0 0 0 0
4 0 0 0 0.205325763 0 0 0 0 0
5 0 0 0 0 0.240495163 0 0 0 0
6 0 0 0 0 0 0.276066537 0 0 0
7 0 0 0 0 0 0 0.309490628 0 0
8 0 0 0 0 0 0 0 0.346477675 0
9 0 0 0 0 0 0 0 0 0.383984843
10 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0 0 0
18 0 0 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0 0 0
20 0 0 0 0 0 0 0 0 0
Page 61
Model (Center)
Matrix T
1 2 3 4 5 6 7 8 9
1 1 0 0 0 0 0 0 0 0
2 -1.851277316 1 0 0 0 0 0 0 0
3 1.494228817 -3.30153663 1 0 0 0 0 0 0
4 -0.715594319 4.210908274 -3.577372219 1 0 0 0 0 0
5 0.147728994 -3.329918353 6.593041284 -4.80143636 1 0 0 0 0
6 -0.038315987 1.776018823 -6.547932386 8.776239195 -4.236659759 1 0 0 0
7 -0.004498857 -0.480898557 3.9595928 -9.702982519 8.809667003 -5.151332419 1 0 0
8 -0.004137525 0.119819899 -1.847690027 7.388194157 -10.86376069 11.27693164 -4.767329699 1 0
9 -0.003633604 -0.014150378 0.560301372 -3.725027567 8.539236155 -14.15754976 10.03468065 -4.815372177 1
10 -0.00314142 0.003825148 -0.120991475 1.28941724 -4.514275768 11.36573629 -12.22426253 10.14991308 -4.785925617
11 -0.002534527 0.001882951 0.010071651 -0.28019165 1.559086674 -5.90729493 9.265433978 -12.04554038 9.845560004
12 -0.002500931 0.001910434 -0.004457205 0.036637701 -0.335278922 2.026425993 -4.71178866 9.371065727 -12.15244362
13 -0.00191065 0.001435873 -0.002910791 -0.000362834 0.052702253 -0.507480141 1.693901028 -4.921596721 9.452870005
14 -0.001799172 0.001358813 -0.002787421 0.002534515 -0.003871029 0.061906756 -0.347297227 1.60709664 -4.72423391
15 -0.001546717 0.001160763 -0.002367277 0.002148519 -0.000805792 -0.005421276 0.051863618 -0.378364661 1.675819744
16 -0.00136505 0.001021704 -0.002079872 0.001885442 -0.000773214 -0.000137997 -0.00265222 0.051131702 -0.382635556
17 -0.001187651 0.00088605 -0.001799027 0.001627026 -0.000666802 -0.000226193 0.001043065 -0.006041173 0.058745544
18 -0.001035047 0.000770199 -0.00156063 0.001408929 -0.00057648 -0.000196548 0.000815841 -0.001485269 -0.002205024
19 -0.000909741 0.000675482 -0.001366368 0.001231704 -0.000503227 -0.000171368 0.00070858 -0.001378072 0.001947859
20 -0.006569298 0.004829503 -0.009692409 0.008676501 -0.003520398 -0.001190043 0.004883576 -0.009428689 0.012500567
Matrix T (inverse)
1 2 3 4 5 6 7 8 9
1 1 1.61081E-13 8.59329E-15 2.54192E-14 8.94916E-14 3.91337E-14 4.34022E-14 1.41128E-14 2.95266E-14
2 1.851277316 1 1.59086E-14 4.7058E-14 1.65674E-13 7.24474E-14 8.03495E-14 2.61268E-14 5.4662E-14
3 4.617831055 3.30153663 1 4.70704E-14 3.77469E-13 1.82805E-13 1.69079E-13 5.01893E-14 1.3229E-13
4 9.439735882 7.599917148 3.577372219 1 7.16748E-13 3.76897E-13 2.97571E-13 7.96275E-14 2.64204E-13
Page 62
Model (Center)
5 20.89561362 18.05326958 10.58348376 4.80143636 1 8.40195E-13 5.75513E-13 1.36274E-13 5.74023E-13
6 32.66988346 29.62908978 19.99067787 11.56581302 4.236659759 1 7.9277E-13 1.61293E-13 8.83497E-13
7 58.41366912 54.73601858 40.49324662 26.98327461 13.01477576 5.151332419 1 2.39676E-13 1.53828E-12
8 75.63815966 72.77656039 58.00495389 42.98474512 25.13296525 13.28116839 4.767329699 1 1.89243E-12
9 94.76202526 92.9761342 78.38830123 62.68700414 41.86694829 26.41934279 12.92178614 4.815372177 1
10 111.2615871 110.7457461 97.49167362 82.50615489 60.73224163 43.24380827 25.6789878 12.89609998 4.785925617
11 130.1254423 130.8211961 118.9237879 104.8808358 82.84157494 64.12545786 43.31270205 26.09291276 12.96215583
12 146.6833638 148.5136792 138.4504496 126.0665946 105.1879688 86.70901546 64.3989553 44.09329504 26.43697493
13 153.5411269 156.1774973 148.4145681 138.4537883 120.4776774 104.0975557 82.94507968 62.270825 42.4736461
14 172.8035184 176.2480407 169.8827851 161.3540859 144.913018 129.6487326 108.8088623 87.33266851 65.23684922
15 177.4534992 181.2436148 176.6205625 170.1087627 156.6453277 144.0134135 125.8845232 106.4120906 85.19465377
16 183.5542036 187.5441817 184.2490764 179.3211793 168.3341687 157.9999985 142.4856094 125.2947155 105.6972799
17 187.3012872 191.3046688 189.0658874 185.4507135 176.6802657 168.4736313 155.623893 141.0588366 123.8479424
18 191.8579302 195.7933962 194.3318066 191.7119162 184.7107805 178.2423943 167.6982714 155.5620173 140.8102953
19 195.8514897 199.6387073 198.7512299 196.894555 191.3346822 186.3006731 177.7617197 167.8455819 155.5238499
20 1 1 1 1 1 1 1 1 1
Matrix T*J
1 2 3 4 5 6 7 8 9
1 0.07374715 0 0 0 0 0 0 0 0
2 -0.136526426 0.125943364 0 0 0 0 0 0 0
3 0.110195117 -0.415806628 0.168522258 0 0 0 0 0 0
4 -0.052773042 0.530335952 -0.602866844 0.205325763 0 0 0 0 0
5 0.010894592 -0.419381118 1.111074205 -0.985858582 0.240495163 0 0 0 0
6 -0.002825695 0.223677784 -1.103472351 1.801988005 -1.018896178 0.276066537 0 0 0
7 -0.000331778 -0.060565982 0.66727952 -1.992272285 2.118682298 -1.422110502 0.309490628 0 0
8 -0.000305131 0.015090521 -0.311376895 1.516986599 -2.612681894 3.113183465 -1.475443864 0.346477675 0
9 -0.000267968 -0.001782146 0.094423252 -0.764844126 2.053644987 -3.908425735 3.105639618 -1.668418954 0.383984843
10 -0.000231671 0.000481752 -0.020389757 0.264750578 -1.085661485 3.137699458 -3.78329469 3.516718279 -1.837722899
11 -0.000186914 0.000237145 0.001697297 -0.057530564 0.374952803 -1.630806454 2.867564984 -4.173510819 3.780545817
Page 63
Model (Center)
12 -0.000184437 0.000240606 -0.000751138 0.007522664 -0.080632959 0.559428406 -1.458254433 3.246865061 -4.666354159
13 -0.000140905 0.000180839 -0.000490533 -7.44991E-05 0.012674637 -0.140098285 0.524246493 -1.705223387 3.629758809
14 -0.000132684 0.000171134 -0.000469743 0.000520401 -0.000930964 0.017090384 -0.107485237 0.556823107 -1.814034219
15 -0.000114066 0.00014619 -0.000398939 0.000441146 -0.000193789 -0.001496633 0.016051304 -0.131094908 0.643489382
16 -0.000100669 0.000128677 -0.000350505 0.00038713 -0.000185954 -3.80962E-05 -0.000820837 0.017715993 -0.146926254
17 -8.75859E-05 0.000111592 -0.000303176 0.00033407 -0.000160363 -6.24443E-05 0.000322819 -0.002093132 0.022557399
18 -7.63317E-05 9.70014E-05 -0.000263001 0.000289289 -0.000138641 -5.42602E-05 0.000252495 -0.000514613 -0.000846696
19 -6.70908E-05 8.50725E-05 -0.000230263 0.000252901 -0.000121024 -4.73091E-05 0.000219299 -0.000477471 0.000747948
20 -0.000484467 0.000608244 -0.001633387 0.001781509 -0.000846639 -0.000328531 0.001511421 -0.00326683 0.004800028
Matrix [T*J*T(inv.)]
1 2 3 4 5 6 7 8 9
1 0.07374715 1.18793E-14 6.33731E-16 1.87459E-15 6.59975E-15 2.886E-15 3.20079E-15 1.04078E-15 2.1775E-15
2 0.096629666 0.125943364 8.30367E-16 2.45625E-15 8.64754E-15 3.78148E-15 4.19394E-15 1.36372E-15 2.85315E-15
3 0.118629054 0.140575779 0.168522258 -8.83355E-15 4.58515E-15 4.99499E-15 -1.33617E-16 -8.50502E-16 2.81875E-15
4 0.083309609 0.100407766 0.131659835 0.205325763 2.74361E-15 3.53568E-15 -5.11095E-16 -7.9671E-16 1.9255E-15
5 0.084306172 0.098151527 0.12956775 0.168863636 0.240495163 3.64927E-15 -3.20554E-16 -7.67425E-16 1.96341E-15
6 0.054506599 0.060675781 0.078195537 0.102756798 0.15070381 0.276066537 -3.41521E-17 -4.12336E-16 1.29203E-15
7 0.051869186 0.054965219 0.0665471 0.083652395 0.121635091 0.172178605 0.309490628 6.78648E-15 -5.58707E-15
8 0.044292155 0.044913243 0.050729489 0.059806179 0.082257523 0.114309996 0.176329444 0.346477675 -2.79996E-15
9 0.039743066 0.039098699 0.041715721 0.046102988 0.058136198 0.075830442 0.113506419 0.180610978 0.383984843
10 0.035948941 0.034730598 0.035680693 0.037531312 0.043433174 0.052094253 0.071824393 0.109499032 0.181917774
11 0.030974803 0.029635578 0.029817344 0.030439265 0.033116918 0.036873051 0.045981653 0.063973308 0.100879875
12 0.030738626 0.02927102 0.029134702 0.029259127 0.030645083 0.032356521 0.036857163 0.045750595 0.064615209
13 0.025644575 0.024350026 0.024111435 0.024020818 0.02467318 0.02528359 0.027145413 0.030682051 0.038306028
14 0.024430476 0.023170195 0.022892472 0.022726593 0.023136127 0.023368432 0.024309677 0.025913757 0.029322887
15 0.021948668 0.020798472 0.020527971 0.020346473 0.020630863 0.020698626 0.021204187 0.021908736 0.023322347
16 0.019982917 0.018925558 0.018670977 0.018493207 0.018721477 0.018730081 0.019061185 0.01941758 0.020052907
17 0.017937759 0.016981309 0.016749198 0.016584576 0.016779009 0.01676751 0.017018332 0.017234031 0.017562228
18 0.016053583 0.015192408 0.014982975 0.014833471 0.015004209 0.014987158 0.015195841 0.015352654 0.015561082
Page 64
Model (Center)
19 0.014429982 0.013652114 0.013462921 0.013327457 0.013480053 0.013462316 0.013644725 0.013773427 0.013931584
20 0.114877012 0.108561345 0.107031622 0.105929944 0.107152121 0.106992882 0.10843094 0.109406175 0.110543236
Matrix [T*J*T(inv.)] (inverse)
1 2 3 4 5 6 7 8 9
1 13.55984603 -1.22343E-12 1.01507E-13 1.8545E-13 -2.62042E-13 -4.79985E-14 -1.08927E-13 5.00926E-15 -4.6342E-14
2 -10.40375099 7.94007696 -1.30477E-15 1.25725E-29 -5.89545E-29 4.67356E-29 -2.91065E-29 5.14585E-30 -1.21294E-29
3 -0.866807194 -6.623353621 5.933934257 2.18949E-13 1.40975E-13 -7.34555E-14 7.58998E-14 3.77147E-14 1.04905E-14
4 0.14160727 0.364222438 -3.804981865 4.870309442 1.05929E-27 -2.07897E-28 2.52812E-28 -9.15354E-30 1.95029E-29
5 -0.139864485 0.072094686 -0.525263935 -3.419686919 4.158087794 -5.16099E-16 -1.20804E-15 1.93479E-16 5.8573E-28
6 -0.121484886 -0.043992865 0.022240489 0.053981359 -2.269886389 3.622315153 4.69852E-29 -3.96464E-28 4.17349E-29
7 -0.154209781 -0.088292759 -0.053407372 -0.002434826 -0.371395783 -2.015198892 3.231115609 -1.0097E-13 3.17228E-14
8 -0.130575044 -0.080036635 -0.067485262 -0.04537348 -0.049282509 -0.169499896 -1.644379595 2.886188847 3.14944E-27
9 -0.114783776 -0.071144652 -0.065149225 -0.05560202 -0.048314825 -0.039923994 -0.181672161 -1.357546784 2.604269458
10 -0.099198938 -0.061372793 -0.057318869 -0.051695144 -0.050924497 -0.042982429 -0.044942499 -0.163681703 -1.122671991
11 -0.080004375 -0.049258345 -0.046180249 -0.042157976 -0.043618887 -0.04038917 -0.037497089 -0.041639794 -0.145232399
12 -0.078661252 -0.048456932 -0.045467445 -0.041634778 -0.043725704 -0.041906444 -0.04159261 -0.039704474 -0.04989065
13 -0.060238663 -0.036854961 -0.034562707 -0.031623903 -0.033369371 -0.032282693 -0.03293718 -0.032350004 -0.031738442
14 -0.056560646 -0.034610519 -0.032458435 -0.029702206 -0.031369976 -0.030427557 -0.031328732 -0.031441917 -0.031263987
15 -0.04862836 -0.029665432 -0.027812457 -0.02543479 -0.026877915 -0.026082269 -0.026929934 -0.027234625 -0.027479382
16 -0.042883357 -0.026109735 -0.024474226 -0.022372852 -0.023648373 -0.022948731 -0.023713195 -0.024037758 -0.024402773
17 -0.037288176 -0.022655929 -0.02123253 -0.019401094 -0.020512087 -0.019903002 -0.02057133 -0.020866866 -0.021226626
18 -0.032477219 -0.019698206 -0.018457538 -0.016859302 -0.017828251 -0.017296849 -0.017879628 -0.018139879 -0.018463885
19 -0.028530102 -0.017278394 -0.016187834 -0.014781544 -0.015633689 -0.015166134 -0.015678173 -0.01590727 -0.016194357
20 -0.205506049 -0.123612306 -0.115734798 -0.105529968 -0.111699538 -0.108307092 -0.111993484 -0.113637773 -0.115704968
Page 65
Model (Center)
Matrix { [T*J*T(inv.)] (inverse) - C} (Open Circuit: no C matrix)
1 2 3 4 5 6 7 8 9
1 13.55984603 -1.22343E-12 1.01507E-13 1.8545E-13 -2.62042E-13 -4.79985E-14 -1.08927E-13 5.00926E-15 -4.6342E-14
2 -10.40375099 7.94007696 -1.30477E-15 1.25725E-29 -5.89545E-29 4.67356E-29 -2.91065E-29 5.14585E-30 -1.21294E-29
3 -0.866807194 -6.623353621 5.933934257 2.18949E-13 1.40975E-13 -7.34555E-14 7.58998E-14 3.77147E-14 1.04905E-14
4 0.14160727 0.364222438 -3.804981865 4.870309442 1.05929E-27 -2.07897E-28 2.52812E-28 -9.15354E-30 1.95029E-29
5 -0.139864485 0.072094686 -0.525263935 -3.419686919 4.158087794 -5.16099E-16 -1.20804E-15 1.93479E-16 5.8573E-28
6 -0.121484886 -0.043992865 0.022240489 0.053981359 -2.269886389 3.622315153 4.69852E-29 -3.96464E-28 4.17349E-29
7 -0.154209781 -0.088292759 -0.053407372 -0.002434826 -0.371395783 -2.015198892 3.231115609 -1.0097E-13 3.17228E-14
8 -0.130575044 -0.080036635 -0.067485262 -0.04537348 -0.049282509 -0.169499896 -1.644379595 2.886188847 3.14944E-27
9 -0.114783776 -0.071144652 -0.065149225 -0.05560202 -0.048314825 -0.039923994 -0.181672161 -1.357546784 2.604269458
10 -0.099198938 -0.061372793 -0.057318869 -0.051695144 -0.050924497 -0.042982429 -0.044942499 -0.163681703 -1.122671991
11 -0.080004375 -0.049258345 -0.046180249 -0.042157976 -0.043618887 -0.04038917 -0.037497089 -0.041639794 -0.145232399
12 -0.078661252 -0.048456932 -0.045467445 -0.041634778 -0.043725704 -0.041906444 -0.04159261 -0.039704474 -0.04989065
13 -0.060238663 -0.036854961 -0.034562707 -0.031623903 -0.033369371 -0.032282693 -0.03293718 -0.032350004 -0.031738442
14 -0.056560646 -0.034610519 -0.032458435 -0.029702206 -0.031369976 -0.030427557 -0.031328732 -0.031441917 -0.031263987
15 -0.04862836 -0.029665432 -0.027812457 -0.02543479 -0.026877915 -0.026082269 -0.026929934 -0.027234625 -0.027479382
16 -0.042883357 -0.026109735 -0.024474226 -0.022372852 -0.023648373 -0.022948731 -0.023713195 -0.024037758 -0.024402773
17 -0.037288176 -0.022655929 -0.02123253 -0.019401094 -0.020512087 -0.019903002 -0.02057133 -0.020866866 -0.021226626
18 -0.032477219 -0.019698206 -0.018457538 -0.016859302 -0.017828251 -0.017296849 -0.017879628 -0.018139879 -0.018463885
19 -0.028530102 -0.017278394 -0.016187834 -0.014781544 -0.015633689 -0.015166134 -0.015678173 -0.01590727 -0.016194357
20 -0.205506049 -0.123612306 -0.115734798 -0.105529968 -0.111699538 -0.108307092 -0.111993484 -0.113637773 -0.115704968
Matrix { [T*J*T(inv.)] (inverse) - C} (inverse)
1 2 3 4 5 6 7 8 9
1 0.07374715 1.1847E-14 6.18648E-16 1.87459E-15 6.59975E-15 2.886E-15 3.20079E-15 1.04078E-15 2.1775E-15
2 0.096629666 0.125943364 8.38297E-16 2.45625E-15 8.64754E-15 3.78148E-15 4.19394E-15 1.36372E-15 2.85315E-15
Page 66
Model (Center)
3 0.118629054 0.140575779 0.168522258 -8.83355E-15 4.58515E-15 4.99499E-15 -1.33617E-16 -8.50502E-16 2.81875E-15
4 0.083309609 0.100407766 0.131659835 0.205325763 2.74361E-15 3.53568E-15 -5.11095E-16 -7.9671E-16 1.9255E-15
5 0.084306172 0.098151527 0.12956775 0.168863636 0.240495163 3.64927E-15 -3.20554E-16 -7.67425E-16 1.96341E-15
6 0.054506599 0.060675781 0.078195537 0.102756798 0.15070381 0.276066537 -3.41521E-17 -4.12336E-16 1.29203E-15
7 0.051869186 0.054965219 0.0665471 0.083652395 0.121635091 0.172178605 0.309490628 6.78648E-15 -5.58707E-15
8 0.044292155 0.044913243 0.050729489 0.059806179 0.082257523 0.114309996 0.176329444 0.346477675 -2.79996E-15
9 0.039743066 0.039098699 0.041715721 0.046102988 0.058136198 0.075830442 0.113506419 0.180610978 0.383984843
10 0.035948941 0.034730598 0.035680693 0.037531312 0.043433174 0.052094253 0.071824393 0.109499032 0.181917774
11 0.030974803 0.029635578 0.029817344 0.030439265 0.033116918 0.036873051 0.045981653 0.063973308 0.100879875
12 0.030738626 0.02927102 0.029134702 0.029259127 0.030645083 0.032356521 0.036857163 0.045750595 0.064615209
13 0.025644575 0.024350026 0.024111435 0.024020818 0.02467318 0.02528359 0.027145413 0.030682051 0.038306028
14 0.024430476 0.023170195 0.022892472 0.022726593 0.023136127 0.023368432 0.024309677 0.025913757 0.029322887
15 0.021948668 0.020798472 0.020527971 0.020346473 0.020630863 0.020698626 0.021204187 0.021908736 0.023322347
16 0.019982917 0.018925558 0.018670977 0.018493207 0.018721477 0.018730081 0.019061185 0.01941758 0.020052907
17 0.017937759 0.016981309 0.016749198 0.016584576 0.016779009 0.01676751 0.017018332 0.017234031 0.017562228
18 0.016053583 0.015192408 0.014982975 0.014833471 0.015004209 0.014987158 0.015195841 0.015352654 0.015561082
19 0.014429982 0.013652114 0.013462921 0.013327457 0.013480053 0.013462316 0.013644725 0.013773427 0.013931584
20 0.114877012 0.108561345 0.107031622 0.105929944 0.107152121 0.106992882 0.10843094 0.109406175 0.110543236
Circuit Balance
1 2 3 4 5 6 7
Fresh Mill Mill Sump Cyclone Cyclone Cyclone
Feed Feed Discharge Water Feed U'flow O'flow
1 45.867 45.867 3.383 0.000 3.383 0.000 3.383
2 35.750 35.750 8.934 0.000 8.934 0.000 8.934
3 319.598 319.598 64.326 0.000 64.326 0.000 64.326
4 324.867 324.867 116.192 0.000 116.192 0.000 116.192
5 290.668 290.668 173.548 0.000 173.548 0.000 173.548
6 101.963 101.963 134.996 0.000 134.996 0.000 134.996
7 66.512 66.512 126.284 0.000 126.284 0.000 126.284
8 39.539 39.539 100.272 0.000 100.272 0.000 100.272
9 29.213 29.213 82.069 0.000 82.069 0.000 82.069
Page 67
Model (Center)
10 23.961 23.961 68.955 0.000 68.955 0.000 68.955
11 19.410 19.410 56.907 0.000 56.907 0.000 56.907
12 18.933 18.933 55.040 0.000 55.040 0.000 55.040
13 14.915 14.915 45.594 0.000 45.594 0.000 45.594
14 13.874 13.874 43.206 0.000 43.206 0.000 43.206
15 11.924 11.924 38.744 0.000 38.744 0.000 38.744
16 10.396 10.396 35.178 0.000 35.178 0.000 35.178
17 8.894 8.894 31.461 0.000 31.461 0.000 31.461
18 7.577 7.577 28.014 0.000 28.014 0.000 28.014
19 6.477 6.477 25.022 0.000 25.022 0.000 25.022
20 34.664 34.664 186.877 0.000 186.877 0.000 186.877
Total 1425.000 1425.000 1425.000 0.000 1425.000 0.000 1425.000
CL = 0
Page 68
Model (Center)
10 11 12 13 14 15 16 17 18
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0.421995834 0 0 0 0 0 0 0 0
0 0.458650182 0 0 0 0 0 0 0
0 0 0.495547176 0 0 0 0 0 0
0 0 0 0.531568139 0 0 0 0 0
0 0 0 0 0.565614295 0 0 0 0
0 0 0 0 0 0.599162356 0 0 0
0 0 0 0 0 0 0.631180192 0 0
0 0 0 0 0 0 0 0.661643655 0
0 0 0 0 0 0 0 0 0.690264824
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
Page 69
Model (Center)
10 11 12 13 14 15 16 17 18
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0
-4.765580927 1 0 0 0 0 0 0 0
10.36452167 -4.928837603 1 0 0 0 0 0 0
-12.55383604 10.15367434 -4.669910231 1 0 0 0 0 0
9.637760252 -12.26232375 9.897138131 -4.928761234 1 0 0 0 0
-5.089214546 9.625119072 -12.16319748 10.5209958 -4.791510833 1 0 0 0
1.790906451 -5.01794359 9.54319958 -12.95616285 10.1082992 -4.815723141 1 0 0
-0.424600848 1.774476315 -5.00747573 10.19335858 -12.30534645 10.14014735 -4.792616472 1 0
0.058968101 -0.408144101 1.755852648 -5.319924891 9.543831533 -12.30265052 10.06300604 -4.799308791 1
-0.006528682 0.059481873 -0.404748437 1.862495208 -4.929075517 9.542442991 -12.21881624 10.11266026 -4.808004261
-0.012395435 0.004497441 0.049141524 -0.372000612 1.373802072 -3.564216688 5.948426674 -6.313351474 3.808004261
10 11 12 13 14 15 16 17 18
2.44132E-14 1.29218E-14 1.49333E-14 1.10982E-14 4.55551E-15 2.30535E-16 7.07959E-16 2.87547E-16 -4.04705E-17
4.51956E-14 2.39219E-14 2.76457E-14 2.05459E-14 8.43351E-15 4.26784E-16 1.31063E-15 5.32329E-16 -7.49221E-17
1.12686E-13 5.95105E-14 6.89667E-14 5.12497E-14 2.10366E-14 1.06457E-15 3.26923E-15 1.32784E-15 -1.86886E-16
2.30275E-13 1.21405E-13 1.40992E-13 1.04764E-13 4.30028E-14 2.17619E-15 6.68294E-15 2.71437E-15 -3.82031E-16
Page 70
Model (Center)
5.09598E-13 2.68312E-13 3.12117E-13 2.31904E-13 9.51902E-14 4.81716E-15 1.47932E-14 6.00847E-15 -8.45656E-16
7.96574E-13 4.18949E-13 4.88013E-13 3.62577E-13 1.48828E-13 7.53154E-15 2.31289E-14 9.39413E-15 -1.32217E-15
1.40319E-12 7.42451E-13 8.50646E-13 6.37913E-13 2.60512E-13 1.28233E-14 3.98293E-14 1.66706E-14 -2.35015E-15
1.74431E-12 9.40115E-13 1.02528E-12 7.89987E-13 3.17913E-13 1.43716E-14 4.62775E-14 2.11485E-14 -2.99495E-15
2.04325E-12 1.13491E-12 1.13079E-12 9.17608E-13 3.59358E-13 1.35366E-14 4.73792E-14 2.56194E-14 -3.65571E-15
1 1.26561E-12 1.0927E-12 9.68305E-13 3.62895E-13 9.13687E-15 3.96029E-14 2.87554E-14 -4.14639E-15
4.765580927 1 9.87455E-13 9.83027E-13 3.46495E-13 0 2.6084E-14 3.08138E-14 -4.72679E-15
13.1242528 4.928837603 1 9.02424E-13 2.90799E-13 -1.81749E-14 5.72905E-15 2.84273E-14 -5.34674E-15
25.45476169 12.86355481 4.669910231 1 1.92478E-13 -4.55869E-14 -1.77282E-14 1.89945E-14 -5.85665E-15
44.36723573 26.88232744 13.11973438 4.928761234 1 -8.80095E-14 -4.40048E-14 5.2543E-15 -7.14256E-15
63.62945912 43.79486307 25.89444097 13.09521704 4.791510833 1 -7.22174E-14 -1.41856E-14 -8.38238E-15
84.61574922 63.81270031 43.04317595 26.19770938 12.9662904 4.815723141 1 -3.47238E-14 -1.05681E-14
104.491003 84.32351784 62.56427014 43.22489903 25.86117751 12.9397667 4.792616472 1 -1.36781E-14
123.6326105 104.9664793 83.56695398 63.2084669 43.04036964 25.94393552 12.93824033 4.799308791 1
140.783076 124.2320365 104.3147174 84.36423522 63.05205471 43.18308115 25.95982869 12.96243685 4.808004261
1 1 1 1 1 1 1 1 1
10 11 12 13 14 15 16 17 18
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0.421995834 0 0 0 0 0 0 0 0
-2.011055299 0.458650182 0 0 0 0 0 0 0
Page 71
Model (Center)
4.373784968 -2.260612263 0.495547176 0 0 0 0 0 0
-5.297666511 4.656984583 -2.314160828 0.531568139 0 0 0 0 0
4.067094678 -5.624117017 4.904498852 -2.619972435 0.565614295 0 0 0 0
-2.147627338 4.414562612 -6.027438166 5.592626154 -2.710147022 0.599162356 0 0 0
0.755755062 -2.30148074 4.729105602 -6.887083372 5.717398525 -2.885400021 0.631180192 0 0
-0.179179789 0.813863885 -2.481440457 5.418464649 -6.960079859 6.075594575 -3.025004585 0.661643655 0
0.024884293 -0.187195366 0.870107821 -2.827902572 5.398127544 -7.371285063 6.351570084 -3.175432208 0.690264824
-0.002755077 0.027281372 -0.200571945 0.990043111 -2.787955573 5.717472621 -7.712274781 6.690977495 -3.318796214
-0.005230822 0.002062752 0.024351944 -0.197743673 0.777042091 -2.135544467 3.75452909 -4.177188942 2.62853139
10 11 12 13 14 15 16 17 18
1.8004E-15 9.52949E-16 1.10129E-15 8.18462E-16 3.35956E-16 1.70013E-17 5.22099E-17 2.12058E-17 -2.98459E-18
2.35904E-15 1.24863E-15 1.443E-15 1.07242E-15 4.40197E-16 2.22765E-17 6.84098E-17 2.77856E-17 -3.91065E-18
2.88767E-15 1.50588E-15 1.77273E-15 1.31657E-15 5.40416E-16 2.73481E-17 8.39845E-17 3.41114E-17 -4.80098E-18
2.02726E-15 1.0554E-15 1.24503E-15 9.24588E-16 3.79518E-16 1.92058E-17 5.89798E-17 2.39554E-17 -3.37158E-18
2.05169E-15 1.06861E-15 1.2599E-15 9.35648E-16 3.84058E-16 1.94355E-17 5.96853E-17 2.4242E-17 -3.41191E-18
1.32676E-15 6.91783E-16 8.14523E-16 6.04926E-16 2.48305E-16 1.25657E-17 3.85884E-17 1.56732E-17 -2.20591E-18
-5.18687E-15 -1.15591E-15 -6.0194E-15 -2.63534E-15 -1.49426E-15 -1.87059E-16 -4.35316E-16 -2.4105E-17 2.19653E-18
-2.59596E-15 -4.70155E-16 -3.20928E-15 -1.33787E-15 -7.84194E-16 -1.03177E-16 -2.37582E-16 -9.49509E-18 6.54909E-19
-2.3534E-16 -6.26406E-16 -2.35937E-15 -7.42813E-16 -4.83451E-16 -6.38277E-17 -1.44984E-16 -2.8826E-18 -3.29642E-20
0.421995834 -1.83975E-16 -1.25825E-15 -3.49177E-16 -2.51975E-16 -3.78989E-17 -8.40966E-17 1.28158E-18 -4.57957E-19
0.17467926 0.458650182 3.8468E-15 -5.43195E-15 -1.54495E-15 -1.00685E-15 -3.84403E-17 -5.20957E-16 -2.89265E-17
0.104340701 0.181859293 0.495547176 -2.14262E-15 -6.34561E-16 -4.06948E-16 -3.05822E-17 -2.03606E-16 -1.19581E-17
0.054878961 0.088717562 0.168214662 0.531568139 -3.27566E-16 -2.21242E-16 -1.24769E-16 -9.74196E-17 -6.13736E-18
0.036761476 0.052231016 0.090172085 0.167805375 0.565614295 -1.28192E-16 -5.13144E-17 -5.57206E-17 -3.87537E-18
0.026316641 0.032525476 0.048189121 0.081119667 0.160745896 0.599162356 -2.5676E-15 3.86272E-16 -1.49203E-16
0.021284073 0.023731171 0.029974039 0.043144535 0.07603873 0.154189036 0.631180192 8.42585E-17 -3.97356E-17
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Page 72
Model (Center)
0.014113262 0.014322142 0.014780785 0.015455009 0.017176299 0.021223834 0.031599302 0.058500487 0.129056049
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Page 73
Model (Center)
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Page 74
Model (Center)
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Page 75
Model (Center)
19 20
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Page 77
Model (Center)
19 20
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Page 78
Model (Center)
0 0
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Page 79
Model (Center)
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Page 80
Model (Center)
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Page 81
Model (Center)
19 20
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Fresh Mill
19 20 Feed Discharge
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0 0 2 35.75 2 8.934492391
Page 82
Model (Center)
0 0 3 319.60 3 64.32596836
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1425.000312 1425.000312
Page 83