apm/tp117r3.apm


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Model tp117r3
! Source version 1
! Simple APM canonicalizer version 1.3
! APM back end version 1.1
Parameters
a24a = 4/10
a24b = 4
a24 = a24a
ivxhs_1 = 0.001
ivxhs_2 = 0.001
ivxhs_3 = 0.001
ivxhs_4 = 0.001
ivxhs_5 = 0.001
ivxhs_6 = 0.001
ivxhs_7 = 60
ivxhs_8 = 0.001
ivxhs_9 = 0.001
ivxhs_10 = 0.001
ivxhs_11 = 0.001
ivxhs_12 = 0.001
ivxhs_13 = 0.001
ivxhs_14 = 0.001
ivxhs_15 = 0.001
lbx_1 = 0
lbx_2 = 0
lbx_3 = 1
lbx_4 = 0
lbx_5 = 1
lbx_6 = 1
lbx_7 = 0
lbx_8 = 0
lbx_9 = 0.09
lbx_10 = 0
lbx_11 = 0.1
lbx_12 = 0.3
lbx_13 = 0.3
lbx_14 = 0.2
lbx_15 = 0.1
ivx_1 = (1/2)*(abs(ivxhs_1 - lbx_1) + (ivxhs_1 + lbx_1))
ivx_2 = (1/2)*(abs(ivxhs_2 - lbx_2) + (ivxhs_2 + lbx_2))
ivx_3 = (1/2)*(abs(ivxhs_3 - lbx_3) + (ivxhs_3 + lbx_3))
ivx_4 = (1/2)*(abs(ivxhs_4 - lbx_4) + (ivxhs_4 + lbx_4))
ivx_5 = (1/2)*(abs(ivxhs_5 - lbx_5) + (ivxhs_5 + lbx_5))
ivx_6 = (1/2)*(abs(ivxhs_6 - lbx_6) + (ivxhs_6 + lbx_6))
ivx_7 = (1/2)*(abs(ivxhs_7 - lbx_7) + (ivxhs_7 + lbx_7))
ivx_8 = (1/2)*(abs(ivxhs_8 - lbx_8) + (ivxhs_8 + lbx_8))
ivx_9 = (1/2)*(abs(ivxhs_9 - lbx_9) + (ivxhs_9 + lbx_9))
ivx_10 = (1/2)*(abs(ivxhs_10 - lbx_10) + (ivxhs_10 + lbx_10))
ivx_11 = (1/2)*(abs(ivxhs_11 - lbx_11) + (ivxhs_11 + lbx_11))
ivx_12 = (1/2)*(abs(ivxhs_12 - lbx_12) + (ivxhs_12 + lbx_12))
ivx_13 = (1/2)*(abs(ivxhs_13 - lbx_13) + (ivxhs_13 + lbx_13))
ivx_14 = (1/2)*(abs(ivxhs_14 - lbx_14) + (ivxhs_14 + lbx_14))
ivx_15 = (1/2)*(abs(ivxhs_15 - lbx_15) + (ivxhs_15 + lbx_15))
dx5bdx1 = 300/823
dx5bdx2 = (-430/823) + (50/823)*a24
dx5bdx4 = -360/823
dx5bdx7 = -85/823
dx5bdx8 = -260/823
dx5bdx10 = 85/823
dx5bdx13 = 300/823
dx9bdx1 = 313/3292
dx9bdx2 = (-869/1646) - (85/3292)*a24
dx9bdx4 = 153/823
dx9bdx7 = 139/823
dx9bdx8 = 221/1646
dx9bdx10 = -139/823
dx9bdx13 = -3008/823
dx11bdx1 = 359/13168
dx11bdx2 = (-271/6584) + (197/13168)*a24
dx11bdx4 = -95/1646
dx11bdx7 = -11/1646
dx11bdx8 = -183/6584
dx11bdx10 = 11/1646
dx11bdx13 = -29/823
End Parameters
Variables
x_1 = ivx_1, >= lbx_1
x_2 = ivx_2, >= lbx_2
x_3 = ivx_3, >= lbx_3
x_4 = ivx_4, >= lbx_4
x_5 = ivx_5, >= lbx_5
x_6 = ivx_6, >= lbx_6
x_7 = ivx_7, >= lbx_7
x_8 = ivx_8, >= lbx_8
x_9 = ivx_9, >= lbx_9
x_10 = ivx_10, >= lbx_10
x_11 = ivx_11, >= lbx_11
x_12 = ivx_12, >= lbx_12
x_13 = ivx_13, >= lbx_13
x_14 = ivx_14, >= lbx_14
x_15 = ivx_15, >= lbx_15
obj
End Variables
Intermediates
aux = 3453/13168 + (359/13168)*x_1 - (271/6584)*x_2 + (197/13168)*a24*x_2 - (95/1646)*x_4 - (11/1646)*x_7 - &
(183/6584)*x_8 + (11/1646)*x_10 + (2257/1646)*x_12 - (29/823)*x_13 - (2243/1646)*x_14 + (881/823)*x_15 - &
(243/1646)*x_12^2 - (1773/6584)*x_14^2 + (285/3292)*x_15^2
dx3bdx1 = (-57577/8230) - (1077/4115)*aux
dx3bdx2 = 415/823 - (575/1646)*a24 + (1626/4115)*aux - (591/4115)*a24*aux
dx3bdx4 = 1247/823 + (456/823)*aux
dx3bdx7 = (-1054/4115) + (264/4115)*aux
dx3bdx8 = (-151/823) + (1098/4115)*aux
dx3bdx10 = 1054/4115 - (264/4115)*aux
dx3bdx12 = (-7744/4115) + (4872/823)*x_12 - (54168/4115)*aux + (11664/4115)*aux*x_12
dx3bdx13 = 744/823 - 12*x_13 + (1392/4115)*aux
dx3bdx14 = 6392/4115 + (10350/823)*x_14 + (53832/4115)*aux + (21276/4115)*aux*x_14
dx3bdx15 = (-1488/823) - (1272/823)*x_15 - (42288/4115)*aux - (1368/823)*aux*x_15
dx5bdx12 = (-890/823) - (6000/823)*x_12
dx5bdx14 = 250/823 - (1800/823)*x_14
dx5bdx15 = (-600/823) + (1080/823)*x_15
dx6bdx1 = (-114319/32920) - (1077/8230)*aux
dx6bdx2 = (-291/3292) - (985/6584)*a24 + (813/4115)*aux - (591/8230)*a24*aux
dx6bdx4 = 2723/3292 + (228/823)*aux
dx6bdx7 = (-1919/8230) + (132/4115)*aux
dx6bdx8 = (-2377/3292)+ (549/4115)*aux
dx6bdx10 = 1919/8230 - (132/4115)*aux
dx6bdx12 = 59618/4115 + (2430/823)*x_12 - (27084/4115)*aux + (5832/4115)*aux*x_12
dx6bdx13 = (-6294/823) - 21*x_13 + (696/4115)*aux
dx6bdx14 = (-20464/4115) + (8865/1646)*x_14 + (26916/4115)*aux + (10638/4115)*aux*x_14
dx6bdx15 = 12588/823 + (1044/823)*x_15 - (21144/4115)*aux - (684/823)*aux*x_15
dx9bdx12 = 5522/823 - (2388/823)*x_12
dx9bdx14 = (-1958/823) + (765/823)*x_14
dx9bdx15 = 6016/823 + (2010/823)*x_15
dx11bdx12 = 2257/1646 - (243/823)*x_12
dx11bdx14 = (-2243/1646) - (1773/3292)*x_14
dx11bdx15 = 881/823 + (285/1646)*x_15
c_1 = (-42201/8230) + (57577/8230)*x_1 - (415/823)*x_2 + (575/1646)*a24*x_2 + x_3 - (1247/823)*x_4 + &
(1054/4115)*x_7 + (151/823)*x_8 - (1054/4115)*x_10 + (7744/4115)*x_12 - (744/823)*x_13 - (6392/4115)*x_14 + &
(1488/823)*x_15 - (2436/823)*x_12^2 + 6*x_13^2 - (5175/823)*x_14^2 + (636/823)*x_15^2 + (24/5)*aux^2
c_2 = (-3195/823) - (300/823)*x_1 + (430/823)*x_2 - (50/823)*a24*x_2 + (360/823)*x_4 + x_5 + (85/823)*x_7 + &
(260/823)*x_8 - (85/823)*x_10 + (890/823)*x_12 - (300/823)*x_13 - (250/823)*x_14 + (600/823)*x_15 + &
(3000/823)*x_12^2 + (900/823)*x_14^2 - (540/823)*x_15^2
c_3 = (-328467/32920) + (114319/32920)*x_1 + (291/3292)*x_2 + (985/6584)*a24*x_2 - (2723/3292)*x_4 + x_6 + &
(1919/8230)*x_7 + (2377/3292)*x_8 - (1919/8230)*x_10 - (59618/4115)*x_12 + (6294/823)*x_13 + &
(20464/4115)*x_14 - (12588/823)*x_15 - (1215/823)*x_12^2 + (21/2)*x_13^2 - (8865/3292)*x_14^2 - &
(522/823)*x_15^2 + (12/5)*aux^2
c_4 = 4197/3292 - (313/3292)*x_1 + (869/1646)*x_2 + (85/3292)*a24*x_2 - (153/823)*x_4 - (139/823)*x_7 - &
(221/1646)*x_8 + x_9 + (139/823)*x_10 - (5522/823)*x_12 + (3008/823)*x_13 + (1958/823)*x_14 - &
(6016/823)*x_15 + (1194/823)*x_12^2 - (765/1646)*x_14^2 - (1005/823)*x_15^2
c_5 = (-3453/13168) - (359/13168)*x_1 + (271/6584)*x_2 - (197/13168)*a24*x_2 + (95/1646)*x_4 + (11/1646)*x_7 &
+ (183/6584)*x_8 - (11/1646)*x_10 + x_11 - (2257/1646)*x_12 + (29/823)*x_13 + (2243/1646)*x_14 - &
(881/823)*x_15 + (243/1646)*x_12^2 + (1773/6584)*x_14^2 - (285/3292)*x_15^2
c_6 = (40 + (1/4)*dx3bdx1 + 4*dx5bdx1 + dx6bdx1 - 5*dx9bdx1 + 60*dx11bdx1*x_11 - 40*dx11bdx1*x_12 - &
20*dx11bdx1*x_13 + 64*dx11bdx1*x_14 - 20*dx11bdx1*x_15 + 24*dx11bdx1*x_11^2)*x_1
c_7 = (2 + (1/4)*dx3bdx2 + 4*dx5bdx2 + dx6bdx2 - 5*dx9bdx2 + 60*dx11bdx2*x_11 - 40*dx11bdx2*x_12 - &
20*dx11bdx2*x_13 + 64*dx11bdx2*x_14 - 20*dx11bdx2*x_15 + 24*dx11bdx2*x_11^2)*x_2
c_8 = (4 + (1/4)*dx3bdx4 + 4*dx5bdx4 + dx6bdx4 - 5*dx9bdx4 + 60*dx11bdx4*x_11 - 40*dx11bdx4*x_12 - &
20*dx11bdx4*x_13 + 64*dx11bdx4*x_14 - 20*dx11bdx4*x_15 + 24*dx11bdx4*x_11^2)*x_4
c_9 = (40 + (1/4)*dx3bdx7 + 4*dx5bdx7 + dx6bdx7 - 5*dx9bdx7 + 60*dx11bdx7*x_11 - 40*dx11bdx7*x_12 - &
20*dx11bdx7*x_13 + 64*dx11bdx7*x_14 - 20*dx11bdx7*x_15 + 24*dx11bdx7*x_11^2)*x_7
c_10 = (60 + (1/4)*dx3bdx8 + 4*dx5bdx8 + dx6bdx8 - 5*dx9bdx8 + 60*dx11bdx8*x_11 - 40*dx11bdx8*x_12 - &
20*dx11bdx8*x_13 + 64*dx11bdx8*x_14 - 20*dx11bdx8*x_15 + 24*dx11bdx8*x_11^2)*x_8
c_11 = ((-1) + (1/4)*dx3bdx10 + 4*dx5bdx10 + dx6bdx10 - 5*dx9bdx10 + 60*dx11bdx10*x_11 - 40*dx11bdx10*x_12 - &
20*dx11bdx10*x_13 + 64*dx11bdx10*x_14 - 20*dx11bdx10*x_15 + 24*dx11bdx10*x_11^2)*x_10
c_12 = (1/4)*dx3bdx12 + 4*dx5bdx12 + dx6bdx12 - 5*dx9bdx12 - 40*x_11 + 78*x_12 - 12*x_13 - 62*x_14 + 64*x_15 &
+ 60*dx11bdx12*x_11 - 40*dx11bdx12*x_12 - 20*dx11bdx12*x_13 + 64*dx11bdx12*x_14 - 20*dx11bdx12*x_15 + &
48*x_12^2 + 24*dx11bdx12*x_11^2
c_13 = (1/4)*dx3bdx13 + 4*dx5bdx13 + dx6bdx13 - 5*dx9bdx13 - 20*x_11 - 12*x_12 + 20*x_13 - 12*x_14 - 20*x_15 &
+ 60*dx11bdx13*x_11 - 40*dx11bdx13*x_12 - 20*dx11bdx13*x_13 + 64*dx11bdx13*x_14 - 20*dx11bdx13*x_15 + &
60*x_13^2 + 24*dx11bdx13*x_11^2
c_14 = (1/4)*dx3bdx14 + 4*dx5bdx14 + dx6bdx14 - 5*dx9bdx14 + 64*x_11 - 62*x_12 - 12*x_13 + 78*x_14 - 40*x_15 &
+ 60*dx11bdx14*x_11 - 40*dx11bdx14*x_12 - 20*dx11bdx14*x_13 + 64*dx11bdx14*x_14 - 20*dx11bdx14*x_15 + &
36*x_14^2 + 24*dx11bdx14*x_11^2
c_15 = (1/4)*dx3bdx15 + 4*dx5bdx15 + dx6bdx15 - 5*dx9bdx15 - 20*x_11 + 64*x_12 - 20*x_13 - 40*x_14 + 60*x_15 &
+ 60*dx11bdx15*x_11 - 40*dx11bdx15*x_12 - 20*dx11bdx15*x_13 + 64*dx11bdx15*x_14 - 20*dx11bdx15*x_15 + &
12*x_15^2 + 24*dx11bdx15*x_11^2
mf = 40*x_1 + 2*x_2 + (1/4)*x_3 + 4*x_4 + 4*x_5 + x_6 + 40*x_7 + 60*x_8 - 5*x_9 - x_10 + 30*x_11^2 - &
40*x_11*x_12 - 20*x_11*x_13 + 64*x_11*x_14 - 20*x_11*x_15 + 39*x_12^2 - 12*x_12*x_13 - 62*x_12*x_14 + &
64*x_12*x_15 + 10*x_13^2 - 12*x_13*x_14 - 20*x_13*x_15 + 39*x_14^2 - 40*x_14*x_15 + 30*x_15^2 + 8*x_11^3 + &
16*x_12^3 + 20*x_13^3 + 12*x_14^3 + 4*x_15^3
myminfun = mf
myabsdevnod0_0 = abs(myminfun - 32.34867896572271)
myreldevnod0_0 = abs(myminfun/32.34867896572271 - 1)
myabsdevnod0_1 = abs(x_1)
myreldevnod0_1 = abs(x_1)
myabsdevnod0_2 = abs(x_2)
myreldevnod0_2 = abs(x_2)
myabsdevnod0_3 = abs(x_3 - 5.174040727698173)
myreldevnod0_3 = abs(x_3/5.174040727698173 - 1)
myabsdevnod0_4 = abs(x_4)
myreldevnod0_4 = abs(x_4)
myabsdevnod0_5 = abs(x_5 - 3.06110868775845)
myreldevnod0_5 = abs(x_5/3.06110868775845 - 1)
myabsdevnod0_6 = abs(x_6 - 11.83954566480073)
myreldevnod0_6 = abs(x_6/11.83954566480073 - 1)
myabsdevnod0_7 = abs(x_7)
myreldevnod0_7 = abs(x_7)
myabsdevnod0_8 = abs(x_8)
myreldevnod0_8 = abs(x_8)
myabsdevnod0_9 = abs(x_9 - 0.1038961907706158)
myreldevnod0_9 = abs(x_9/0.1038961907706158 - 1)
myabsdevnod0_10 = abs(x_10)
myreldevnod0_10 = abs(x_10)
myabsdevnod0_11 = abs(x_11 - 0.3)
myreldevnod0_11 = abs(x_11/0.3 - 1)
myabsdevnod0_12 = abs(x_12 - 0.3334676065346071)
myreldevnod0_12 = abs(x_12/0.3334676065346071 - 1)
myabsdevnod0_13 = abs(x_13 - 0.4)
myreldevnod0_13 = abs(x_13/0.4 - 1)
myabsdevnod0_14 = abs(x_14 - 0.4283101047816988)
myreldevnod0_14 = abs(x_14/0.4283101047816988 - 1)
myabsdevnod0_15 = abs(x_15 - 0.2239648735607981)
myreldevnod0_15 = abs(x_15/0.2239648735607981 - 1)
myabsdevnod1_0 = (1/2)*(abs(myabsdevnod0_0 - myabsdevnod0_1) + (myabsdevnod0_0 + myabsdevnod0_1))
myreldevnod1_0 = (1/2)*(abs(myreldevnod0_0 - myreldevnod0_1) + (myreldevnod0_0 + myreldevnod0_1))
myabsdevnod1_2 = (1/2)*(abs(myabsdevnod0_2 - myabsdevnod0_3) + (myabsdevnod0_2 + myabsdevnod0_3))
myreldevnod1_2 = (1/2)*(abs(myreldevnod0_2 - myreldevnod0_3) + (myreldevnod0_2 + myreldevnod0_3))
myabsdevnod1_4 = (1/2)*(abs(myabsdevnod0_4 - myabsdevnod0_5) + (myabsdevnod0_4 + myabsdevnod0_5))
myreldevnod1_4 = (1/2)*(abs(myreldevnod0_4 - myreldevnod0_5) + (myreldevnod0_4 + myreldevnod0_5))
myabsdevnod1_6 = (1/2)*(abs(myabsdevnod0_6 - myabsdevnod0_7) + (myabsdevnod0_6 + myabsdevnod0_7))
myreldevnod1_6 = (1/2)*(abs(myreldevnod0_6 - myreldevnod0_7) + (myreldevnod0_6 + myreldevnod0_7))
myabsdevnod1_8 = (1/2)*(abs(myabsdevnod0_8 - myabsdevnod0_9) + (myabsdevnod0_8 + myabsdevnod0_9))
myreldevnod1_8 = (1/2)*(abs(myreldevnod0_8 - myreldevnod0_9) + (myreldevnod0_8 + myreldevnod0_9))
myabsdevnod1_10 = (1/2)*(abs(myabsdevnod0_10 - myabsdevnod0_11) + (myabsdevnod0_10 + myabsdevnod0_11))
myreldevnod1_10 = (1/2)*(abs(myreldevnod0_10 - myreldevnod0_11) + (myreldevnod0_10 + myreldevnod0_11))
myabsdevnod1_12 = (1/2)*(abs(myabsdevnod0_12 - myabsdevnod0_13) + (myabsdevnod0_12 + myabsdevnod0_13))
myreldevnod1_12 = (1/2)*(abs(myreldevnod0_12 - myreldevnod0_13) + (myreldevnod0_12 + myreldevnod0_13))
myabsdevnod1_14 = (1/2)*(abs(myabsdevnod0_14 - myabsdevnod0_15) + (myabsdevnod0_14 + myabsdevnod0_15))
myreldevnod1_14 = (1/2)*(abs(myreldevnod0_14 - myreldevnod0_15) + (myreldevnod0_14 + myreldevnod0_15))
myabsdevnod2_0 = (1/2)*(abs(myabsdevnod1_0 - myabsdevnod1_2) + (myabsdevnod1_0 + myabsdevnod1_2))
myreldevnod2_0 = (1/2)*(abs(myreldevnod1_0 - myreldevnod1_2) + (myreldevnod1_0 + myreldevnod1_2))
myabsdevnod2_4 = (1/2)*(abs(myabsdevnod1_4 - myabsdevnod1_6) + (myabsdevnod1_4 + myabsdevnod1_6))
myreldevnod2_4 = (1/2)*(abs(myreldevnod1_4 - myreldevnod1_6) + (myreldevnod1_4 + myreldevnod1_6))
myabsdevnod2_8 = (1/2)*(abs(myabsdevnod1_8 - myabsdevnod1_10) + (myabsdevnod1_8 + myabsdevnod1_10))
myreldevnod2_8 = (1/2)*(abs(myreldevnod1_8 - myreldevnod1_10) + (myreldevnod1_8 + myreldevnod1_10))
myabsdevnod2_12 = (1/2)*(abs(myabsdevnod1_12 - myabsdevnod1_14) + (myabsdevnod1_12 + myabsdevnod1_14))
myreldevnod2_12 = (1/2)*(abs(myreldevnod1_12 - myreldevnod1_14) + (myreldevnod1_12 + myreldevnod1_14))
myabsdevnod3_0 = (1/2)*(abs(myabsdevnod2_0 - myabsdevnod2_4) + (myabsdevnod2_0 + myabsdevnod2_4))
myreldevnod3_0 = (1/2)*(abs(myreldevnod2_0 - myreldevnod2_4) + (myreldevnod2_0 + myreldevnod2_4))
myabsdevnod3_8 = (1/2)*(abs(myabsdevnod2_8 - myabsdevnod2_12) + (myabsdevnod2_8 + myabsdevnod2_12))
myreldevnod3_8 = (1/2)*(abs(myreldevnod2_8 - myreldevnod2_12) + (myreldevnod2_8 + myreldevnod2_12))
myabsdevnod4_0 = (1/2)*(abs(myabsdevnod3_0 - myabsdevnod3_8) + (myabsdevnod3_0 + myabsdevnod3_8))
myreldevnod4_0 = (1/2)*(abs(myreldevnod3_0 - myreldevnod3_8) + (myreldevnod3_0 + myreldevnod3_8))
zmyabsdevmax = myabsdevnod4_0
zmyreldevmax = myreldevnod4_0
End Intermediates
Equations
obj = myminfun
c_1 = 0
c_2 = 0
c_3 = 0
c_4 = 0
c_5 = 0
c_6 = 0
c_7 = 0
c_8 = 0
c_9 = 0
c_10 = 0
c_11 = 0
c_12 = 0
c_13 = 0
c_14 = 0
c_15 = 0
End Equations
End Model

Stephan K.H. Seidl