[910] | 1 | #*------------------------------------------------------------------- |
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| 2 | * EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC. |
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| 3 | * |
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| 4 | * This LIBRARY is free software; you can distribute it and/or modify |
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| 5 | * it under the therms of the ALSOC FREE LICENSE as available at |
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| 6 | * http://www.enq.ufrgs.br/alsoc. |
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| 7 | * |
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| 8 | * EMSO Copyright (C) 2004 - 2007 ALSOC, original code |
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| 9 | * from http://www.rps.eng.br Copyright (C) 2002-2004. |
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| 10 | * All rights reserved. |
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| 11 | * |
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| 12 | * EMSO is distributed under the therms of the ALSOC LICENSE as |
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| 13 | * available at http://www.enq.ufrgs.br/alsoc. |
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| 14 | * |
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| 15 | *-------------------------------------------------------------------- |
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| 16 | * Sample file for PID MIMO application |
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| 17 | * (dual control of a distillation column) |
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| 18 | *-------------------------------------------------------------------- |
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| 19 | * |
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| 20 | * This sample file needs VRTherm (www.vrtech.com.br) to run |
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| 21 | * the distillation column flowsheet. |
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| 22 | * |
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| 23 | *---------------------------------------------------------------------- |
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| 24 | * Author: Argimiro R. Secchi |
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| 25 | * $Id: sample_PID_MIMO.mso 313 2007-07-14 16:45:55Z arge $ |
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| 26 | *--------------------------------------------------------------------*# |
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| 27 | |
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| 28 | using "stage_separators/column"; |
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| 29 | using "controllers/PIDIncr"; |
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| 30 | |
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| 31 | FlowSheet Column_MPID |
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| 32 | PARAMETERS |
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| 33 | PP as Plugin(Brief="Physical Properties", |
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| 34 | Type="PP", |
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| 35 | Components = [ "isobutane", "n-pentane", "propylene", |
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| 36 | "benzene", "isobutene" ], |
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| 37 | LiquidModel = "PR", |
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| 38 | VapourModel = "PR" |
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| 39 | ); |
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| 40 | NComp as Integer; |
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| 41 | |
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| 42 | Qrmin as heat_rate (Brief="Minimum Reboiler Heat supplied"); |
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| 43 | Qrmax as heat_rate (Brief="Maximum Reboiler Heat supplied"); |
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| 44 | RRmax as positive (Brief="Maximum reflux ratio"); |
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| 45 | RRmin as positive (Brief="Minimum reflux ratio"); |
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| 46 | |
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| 47 | VARIABLES |
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| 48 | Qc as energy_source (Brief="Heat rate removed from condenser"); |
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| 49 | Qr as energy_source (Brief="Heat rate supplied to reboiler"); |
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| 50 | P_sp as pressure (Brief="Pressure setpoint"); |
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| 51 | T_sp as temperature (Brief="Condenser temperature setpoint"); |
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| 52 | RR as positive (Brief="Reflux ratio"); |
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| 53 | LC_sp as fraction (Brief="Condenser level setpoint"); |
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| 54 | LR_sp as fraction (Brief="Reboiler level setpoint"); |
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| 55 | out xtop as fraction (Brief="Controlled top composition"); |
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| 56 | out xbot as fraction (Brief="Controlled bottom composition"); |
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| 57 | xtop_sp as fraction (Brief="Controlled top composition setpoint"); |
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| 58 | xbot_sp as fraction (Brief="Controlled bottom composition setpoint"); |
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| 59 | |
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| 60 | SET |
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| 61 | NComp = PP.NumberOfComponents; |
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| 62 | |
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| 63 | DEVICES |
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| 64 | col as Section_Column; |
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| 65 | cond as condenser; |
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| 66 | reb as reboiler; |
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| 67 | sptop as splitter_column; |
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| 68 | pump1 as pump; |
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| 69 | # Valve_Distillate as valve_flow; |
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| 70 | # Valve_Bottom as valve_flow; |
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| 71 | feed as source; |
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| 72 | TCcond as PIDIncr; |
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| 73 | LCtop as PIDIncr; |
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| 74 | LCbot as PIDIncr; |
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| 75 | PC as PIDIncr; |
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| 76 | PID11 as PIDIncr; |
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| 77 | PID22 as PIDIncr; |
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| 78 | PID12 as PIDIncr; |
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| 79 | PID21 as PIDIncr; |
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| 80 | |
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| 81 | CONNECTIONS |
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| 82 | feed.Outlet to col.FeedTray; |
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| 83 | Qc.OutletQ to cond.InletQ; |
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| 84 | Qr.OutletQ to reb.InletQ; |
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| 85 | # sptop.Distillate to Valve_Distillate.Inlet; |
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| 86 | sptop.Reflux to pump1.Inlet; |
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| 87 | pump1.Outlet to col.LiquidInlet; |
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| 88 | col.VapourOutlet to cond.InletVapour; |
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| 89 | cond.OutletLiquid to sptop.Inlet; |
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| 90 | col.LiquidOutlet to reb.InletLiquid; |
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| 91 | reb.OutletVapour to col.VapourInlet; |
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| 92 | # reb.OutletLiquid to Valve_Bottom.Inlet; |
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| 93 | cond.TI to TCcond.Input; |
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| 94 | cond.PI to PC.Input; |
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| 95 | cond.LI to LCtop.Input; |
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| 96 | reb.LI to LCbot.Input; |
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| 97 | xtop to PID11.Input; |
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| 98 | xbot to PID12.Input; |
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| 99 | xtop to PID21.Input; |
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| 100 | xbot to PID22.Input; |
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| 101 | |
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| 102 | EQUATIONS |
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| 103 | |
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| 104 | TCcond.SetPoint * 'K' = T_sp; |
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| 105 | Qc.OutletQ = TCcond.Output * 'kJ/h'; |
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| 106 | |
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| 107 | PC.SetPoint * 'bar' = P_sp; |
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| 108 | cond.OutletVapour.F = PC.Output * 'kmol/h'; |
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| 109 | |
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| 110 | LCtop.SetPoint = LC_sp; |
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| 111 | sptop.Distillate.F = LCtop.Output * 'kmol/h'; |
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| 112 | |
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| 113 | LCbot.SetPoint = LR_sp; |
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| 114 | reb.OutletLiquid.F = LCbot.Output * 'kmol/h'; |
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| 115 | |
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| 116 | "MIMO PID Controller" |
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| 117 | PID11.SetPoint = xtop_sp; |
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| 118 | PID12.SetPoint = xbot_sp; |
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| 119 | |
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| 120 | RR = RRmin + (RRmax-RRmin) * (PID11.Output + PID12.Output); |
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| 121 | |
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| 122 | PID21.SetPoint = xtop_sp; |
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| 123 | PID22.SetPoint = xbot_sp; |
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| 124 | |
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| 125 | Qr.OutletQ = Qrmin + (Qrmax-Qrmin) * (PID21.Output + PID22.Output); |
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| 126 | |
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| 127 | RR * (cond.OutletVapour.F + sptop.Distillate.F) = sptop.Reflux.F; |
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| 128 | xtop = cond.OutletLiquid.z(4); # benzene |
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| 129 | xbot = reb.OutletLiquid.z(3); # propylene |
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| 130 | |
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| 131 | if time < 1 * 'h' then |
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| 132 | feed.F = 113.4 * 'kmol/h'; |
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| 133 | else |
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| 134 | feed.F = 120 * 'kmol/h'; |
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| 135 | end |
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| 136 | |
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| 137 | SPECIFY |
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| 138 | feed.T = 291 * 'K'; |
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| 139 | feed.P = 568.3 * 'kPa'; |
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| 140 | feed.Composition = 1/NComp; |
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| 141 | |
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| 142 | # Qr.OutletQ = 3e6 * 'kJ/h'; |
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| 143 | pump1.Pincrease = 16 * 'kPa'; |
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| 144 | # sptop.Reflux.F = 75 * 'kmol/h'; # reflux |
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| 145 | col.VapourDrawOffFlow = 0 * 'kmol/h' ; |
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| 146 | col.LiquidDrawOffFlow = 0 * 'kmol/h' ; |
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| 147 | |
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| 148 | xtop_sp = 1e-3; # benzene |
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| 149 | xbot_sp = 1e-5; # propylene |
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| 150 | P_sp = 4.0*'bar'; |
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| 151 | T_sp = (15+273.15) * 'K'; |
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| 152 | LC_sp = 0.5; |
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| 153 | LR_sp = 0.5; |
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| 154 | |
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| 155 | SET |
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| 156 | col.FeedTrayLocation(1) = 5; |
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| 157 | col.NumberOfTrays = 8; |
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| 158 | col.LiquidSideStreamLocation = 2; |
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| 159 | col.VapourSideStreamLocation = 2; |
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| 160 | col.WeirLength = 20.94 * 'in'; |
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| 161 | col.WeirHeight = 0.125 * 'ft'; |
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| 162 | col.TrayLiquidPasses = 1; |
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| 163 | col.HeatSupply = 0 * 'kW' ; |
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| 164 | col.AerationFraction = 0.6; |
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| 165 | col.DryPdropCoeff = 4; |
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| 166 | col.MurphreeEff = 1; |
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| 167 | |
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| 168 | cond.Geometry.Lenght = 1 * 'm'; |
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| 169 | cond.Geometry.Diameter = 1 * 'm'; |
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| 170 | reb.Geometry.Lenght = 2 * 'm'; |
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| 171 | reb.Geometry.Diameter = 1 * 'm'; |
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| 172 | |
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| 173 | # Controllers type |
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| 174 | TCcond.PID_Select = "Ideal_AW"; |
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| 175 | PC.PID_Select = "Ideal_AW"; |
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| 176 | LCtop.PID_Select = "Ideal_AW"; |
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| 177 | LCbot.PID_Select = "Ideal_AW"; |
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| 178 | PID11.PID_Select = "Ideal_AW"; |
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| 179 | PID12.PID_Select = "Ideal_AW"; |
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| 180 | PID21.PID_Select = "Ideal_AW"; |
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| 181 | PID22.PID_Select = "Ideal_AW"; |
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| 182 | |
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| 183 | # Temperature Controller |
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| 184 | TCcond.tau = 1*'s'; |
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| 185 | TCcond.tauSet = 1*'s'; |
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| 186 | TCcond.alpha = 0.1; |
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| 187 | TCcond.bias = 0.5; |
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| 188 | TCcond.gamma = 1; |
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| 189 | TCcond.beta = 1; |
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| 190 | TCcond.Action = "Reverse"; |
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| 191 | TCcond.Clip = "Clipped"; |
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| 192 | TCcond.Mode = "Automatic"; |
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| 193 | TCcond.intTime = 60*'s'; |
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| 194 | TCcond.gain = 0.6; |
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| 195 | TCcond.derivTime = 1*'s'; |
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| 196 | |
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| 197 | # Pressure Controller |
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| 198 | PC.tau = 1*'s'; |
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| 199 | PC.tauSet = 1*'s'; |
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| 200 | PC.alpha = 0.1; |
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| 201 | PC.bias = 0; |
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| 202 | PC.gamma = 1; |
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| 203 | PC.beta = 1; |
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| 204 | PC.Action = "Direct"; |
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| 205 | PC.Clip = "Clipped"; |
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| 206 | PC.Mode = "Automatic"; |
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| 207 | PC.intTime = 50*'s'; |
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| 208 | PC.gain = 0.5; |
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| 209 | PC.derivTime = 1*'s'; |
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| 210 | |
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| 211 | # Ttop Level Controller |
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| 212 | LCtop.tau = 1*'s'; |
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| 213 | LCtop.tauSet = 1*'s'; |
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| 214 | LCtop.alpha = 0.1; |
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| 215 | LCtop.bias = 0.5; |
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| 216 | LCtop.gamma = 1; |
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| 217 | LCtop.beta = 1; |
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| 218 | LCtop.Action = "Direct"; |
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| 219 | LCtop.Clip = "Clipped"; |
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| 220 | LCtop.Mode = "Automatic"; |
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| 221 | LCtop.intTime = 20*'s'; |
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| 222 | LCtop.gain = 1; |
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| 223 | LCtop.derivTime = 0*'s'; |
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| 224 | |
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| 225 | # Tbottom Level Controller |
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| 226 | LCbot.tau = 1*'s'; |
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| 227 | LCbot.tauSet = 1*'s'; |
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| 228 | LCbot.alpha = 0.1; |
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| 229 | LCbot.bias = 0.5; |
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| 230 | LCbot.gamma = 1; |
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| 231 | LCbot.beta = 1; |
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| 232 | LCbot.Action = "Direct"; |
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| 233 | LCbot.Clip = "Clipped"; |
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| 234 | LCbot.Mode = "Automatic"; |
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| 235 | LCbot.intTime = 100*'s'; |
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| 236 | LCbot.gain = 1.5; |
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| 237 | LCbot.derivTime = 0*'s'; |
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| 238 | |
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| 239 | # MIMO PID Controller |
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| 240 | PID11.tau = 1*'s'; |
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| 241 | PID11.tauSet = 1*'s'; |
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| 242 | PID11.alpha = 0.1; |
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| 243 | PID11.bias = 0.1; |
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| 244 | PID11.gamma = 1; |
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| 245 | PID11.beta = 1; |
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| 246 | PID11.Action = "Direct"; |
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| 247 | PID11.Clip = "Clipped"; |
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| 248 | PID11.Mode = "Automatic"; |
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| 249 | PID11.intTime = 60*'s'; |
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| 250 | PID11.gain = 0.6; |
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| 251 | PID11.derivTime = 0*'s'; |
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| 252 | |
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| 253 | PID12.tau = 1*'s'; |
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| 254 | PID12.tauSet = 1*'s'; |
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| 255 | PID12.alpha = 0.1; |
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| 256 | PID12.bias = 0.0; |
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| 257 | PID12.gamma = 1; |
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| 258 | PID12.beta = 1; |
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| 259 | PID12.Action = "Direct"; |
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| 260 | PID12.Clip = "Clipped"; |
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| 261 | PID12.Mode = "Automatic"; |
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| 262 | PID12.intTime = 100*'s'; |
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| 263 | PID12.gain = 0.5; |
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| 264 | PID12.derivTime = 0*'s'; |
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| 265 | |
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| 266 | PID21.tau = 1*'s'; |
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| 267 | PID21.tauSet = 1*'s'; |
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| 268 | PID21.alpha = 0.1; |
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| 269 | PID21.bias = 0.0; |
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| 270 | PID21.gamma = 1; |
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| 271 | PID21.beta = 1; |
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| 272 | PID21.Action = "Reverse"; |
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| 273 | PID21.Clip = "Clipped"; |
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| 274 | PID21.Mode = "Automatic"; |
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| 275 | PID21.intTime = 100*'s'; |
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| 276 | PID21.gain = 0.5; |
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| 277 | PID21.derivTime = 0*'s'; |
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| 278 | |
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| 279 | PID22.tau = 1*'s'; |
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| 280 | PID22.tauSet = 1*'s'; |
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| 281 | PID22.alpha = 0.1; |
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| 282 | PID22.bias = 0.5; |
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| 283 | PID22.gamma = 1; |
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| 284 | PID22.beta = 1; |
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| 285 | PID22.Action = "Direct"; |
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| 286 | PID22.Clip = "Clipped"; |
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| 287 | PID22.Mode = "Automatic"; |
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| 288 | PID22.intTime = 60*'s'; |
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| 289 | PID22.gain = 0.6; |
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| 290 | PID22.derivTime = 0*'s'; |
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| 291 | |
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| 292 | PC.MinOutput = 0; |
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| 293 | PC.MaxOutput = 120; |
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| 294 | PC.MinInput = 0.5; |
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| 295 | PC.MaxInput = 10; |
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| 296 | LCtop.MinInput = 0; |
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| 297 | LCtop.MaxInput = 1; |
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| 298 | LCtop.MinOutput = 0; |
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| 299 | LCtop.MaxOutput = 120; |
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| 300 | LCbot.MinInput = 0; |
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| 301 | LCbot.MaxInput = 1; |
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| 302 | LCbot.MinOutput = 0; |
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| 303 | LCbot.MaxOutput = 60; |
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| 304 | TCcond.MaxOutput = -5e5; |
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| 305 | TCcond.MinOutput = -5e6; |
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| 306 | TCcond.MaxInput = (30+273.15); |
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| 307 | TCcond.MinInput = (-20+273.15); |
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| 308 | PID11.MinInput = 0; |
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| 309 | PID12.MinInput = 0; |
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| 310 | PID21.MinInput = 0; |
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| 311 | PID22.MinInput = 0; |
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| 312 | PID11.MaxInput = 1; |
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| 313 | PID12.MaxInput = 1; |
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| 314 | PID21.MaxInput = 1; |
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| 315 | PID22.MaxInput = 1; |
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| 316 | RRmax = 5; |
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| 317 | RRmin = 0.1; |
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| 318 | Qrmax = 5e6 * 'kJ/h'; |
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| 319 | Qrmin = 1e6 * 'kJ/h'; |
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| 320 | |
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| 321 | # Initial condition |
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| 322 | # condenser |
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| 323 | cond.Levelpercent_Initial = 0.5; |
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| 324 | cond.Initial_Temperature = 260 *'K'; |
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| 325 | cond.Initial_Composition = [0.2, 0.2, 0.4, 0.05, 0.15]; |
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| 326 | |
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| 327 | # reboiler |
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| 328 | reb.Levelpercent_Initial = 0.5; |
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| 329 | reb.Initial_Temperature = 350 *'K'; |
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| 330 | reb.Initial_Composition = [0.1, 0.4, 0.1, 0.3, 0.1]; |
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| 331 | |
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| 332 | # column trays |
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| 333 | col.INITIALIZATION.TopTemperature = 290 * 'K'; |
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| 334 | col.INITIALIZATION.BottomTemperature = 330 * 'K'; |
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| 335 | col.INITIALIZATION.LevelFraction = 0.1; |
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| 336 | col.INITIALIZATION.TopComposition = [0.2, 0.2, 0.4, 0.05, 0.15]; |
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| 337 | col.INITIALIZATION.BottomComposition = [0.1, 0.4, 0.1, 0.3, 0.1]; |
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| 338 | |
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| 339 | OPTIONS |
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| 340 | TimeStep = 0.1; |
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| 341 | TimeEnd = 5; |
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| 342 | TimeUnit = 'h'; |
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| 343 | InitialFile = "Column_MPID.rlt"; |
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| 344 | DAESolver(File="dassl"); |
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| 345 | #GuessFile = "Column_MPID.rlt"; |
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| 346 | #Dynamic = false; |
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| 347 | end |
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| 348 | |
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