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 | * Author: Marcos L. Alencastro, Estefane S. Horn (Revised Gerson B. Bicca) |
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17 | * $Id: compressor.mso 608 2008-08-25 05:11:12Z bicca $ |
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18 | *--------------------------------------------------------------------*# |
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19 | |
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20 | using "streams"; |
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21 | |
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22 | Model centrifugal_compressor |
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23 | |
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24 | ATTRIBUTES |
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25 | Pallete = true; |
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26 | Icon = "icon/CentrifugalCompressor"; |
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27 | Brief = "Model of a centrifugal compressor."; |
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28 | Info = |
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29 | "To be documented"; |
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30 | |
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31 | PARAMETERS |
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32 | |
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33 | outer PP as Plugin (Brief = "External Physical Properties", Type="PP"); |
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34 | outer NComp as Integer (Brief = "Number of chemical components", Lower = 1); |
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35 | Rgas as positive (Brief = "Constant of Gases", Unit= 'kJ/kmol/K', Default = 8.31451,Hidden=true); |
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36 | Mw(NComp) as molweight (Brief = "Molar Weight"); |
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37 | CompressorType as Switcher (Brief = "Compressor Model Type",Valid=["Polytropic Operation","Isentropic Operation"], Default="Isentropic Operation"); |
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38 | |
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39 | VARIABLES |
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40 | |
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41 | Pratio as positive (Brief = "Pressure Ratio", Symbol ="P_{ratio}"); |
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42 | Pdrop as press_delta (Brief = "Pressure Drop", DisplayUnit = 'kPa', Symbol ="\Delta P"); |
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43 | Pincrease as press_delta (Brief = "Pressure Increase", DisplayUnit = 'kPa', Symbol ="P_{incr}"); |
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44 | |
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45 | Head as energy_mass (Brief = "Actual Head",Hidden=true); |
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46 | HeadIsentropic as energy_mass (Brief = "Isentropic Head"); |
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47 | HeadPolytropic as energy_mass (Brief = "Polytropic Head"); |
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48 | |
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49 | EfficiencyOperation as positive (Brief = "Compressor efficiency - Polytropic or Isentropic (See Compressor Type)",Lower=1E-3,Upper=1); |
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50 | MechanicalEff as positive (Brief = "Mechanical efficiency",Lower=1E-3,Upper=1); |
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51 | |
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52 | FluidPower as power (Brief = "Fluid Power"); |
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53 | BrakePower as power (Brief = "Brake Power"); |
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54 | PowerLoss as power (Brief = "Power Losses"); |
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55 | |
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56 | PolyCoeff as positive (Brief = "Polytropic Coefficient", Lower=0.2,Protected=true); |
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57 | IseCoeff as positive (Brief = "Isentropic Coefficient", Lower=0.2,Protected=true); |
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58 | PolytropicEff as positive (Brief = "Polytropic efficiency",Lower=1E-3,Upper=1,Protected=true); |
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59 | IsentropicEff as positive (Brief = "Isentropic efficiency",Lower=1E-3,Upper=1,Protected=true); |
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60 | |
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61 | Tisentropic as temperature (Brief = "Isentropic Temperature",Protected=true); |
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62 | Mwm as molweight (Brief = "Mixture Molar Weight",Protected=true); |
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63 | rho as dens_mass (Brief = "Mass Density",Protected=true); |
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64 | Zfac_in as fraction (Brief = "Compressibility factor at inlet",Protected=true); |
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65 | Zfac_out as fraction (Brief = "Compressibility factor at outlet",Protected=true); |
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66 | |
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67 | in Inlet as stream (Brief = "Inlet stream", PosX=0.437, PosY=1, Symbol="_{in}"); |
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68 | out Outlet as streamPH (Brief = "Outlet stream", PosX=0.953, PosY=0.0, Symbol="_{out}"); |
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69 | |
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70 | in WorkIn as power (Brief = "Work Inlet", PosX=0, PosY=0.45); |
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71 | |
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72 | SET |
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73 | |
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74 | Mw = PP.MolecularWeight(); |
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75 | |
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76 | Rgas = 8.31451*'kJ/kmol/K'; |
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77 | |
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78 | EQUATIONS |
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79 | |
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80 | "Overall Molar Balance" |
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81 | Outlet.F = Inlet.F; |
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82 | |
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83 | "Component Molar Balance" |
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84 | Outlet.z = Inlet.z; |
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85 | |
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86 | "Average Molecular Weight" |
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87 | Mwm = sum(Mw*Inlet.z); |
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88 | |
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89 | "Pressure Ratio" |
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90 | Outlet.P = Inlet.P * Pratio; |
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91 | |
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92 | "Pressure Drop" |
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93 | Outlet.P = Inlet.P - Pdrop; |
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94 | |
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95 | "Pressure Increase" |
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96 | Outlet.P = Inlet.P + Pincrease; |
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97 | |
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98 | "Mass Density" |
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99 | rho = PP.VapourDensity(Inlet.T, Inlet.P, Inlet.z); |
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100 | |
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101 | "Compressibility factor at Inlet Conditions" |
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102 | Zfac_in = PP.VapourCompressibilityFactor(Inlet.T,Inlet.P,Inlet.z); |
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103 | |
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104 | "Compressibility factor at Outlet Conditions" |
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105 | Zfac_out = PP.VapourCompressibilityFactor(Outlet.T,Outlet.P,Outlet.z); |
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106 | |
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107 | "Isentropic Head" |
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108 | HeadIsentropic*Mwm = (PP.VapourEnthalpy(Tisentropic,Outlet.P,Outlet.z)-Inlet.h); |
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109 | |
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110 | "Actual Head" |
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111 | Head*Mwm = (Outlet.h-Inlet.h); |
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112 | |
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113 | "Isentropic Outlet Temperature" |
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114 | PP.VapourEntropy(Tisentropic, Outlet.P, Outlet.z) = PP.VapourEntropy(Inlet.T, Inlet.P, Inlet.z); |
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115 | |
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116 | "Brake Power" |
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117 | BrakePower = -WorkIn; |
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118 | |
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119 | "Brake Power" |
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120 | BrakePower*MechanicalEff = FluidPower; |
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121 | |
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122 | "Power Loss" |
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123 | PowerLoss = BrakePower - FluidPower; |
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124 | |
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125 | "Isentropic Efficiency" |
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126 | IsentropicEff*(PP.VapourEnthalpy(Outlet.T,Outlet.P,Outlet.z)-Inlet.h) = (PP.VapourEnthalpy(Tisentropic,Outlet.P,Outlet.z)-Inlet.h); |
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127 | |
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128 | "Polytropic-Isentropic Relation" |
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129 | PolytropicEff*HeadIsentropic = HeadPolytropic*IsentropicEff; |
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130 | |
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131 | "Polytropic Efficiency" |
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132 | PolytropicEff*IseCoeff*(PolyCoeff-1) = PolyCoeff*(IseCoeff-1); |
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133 | |
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134 | "Isentropic Coefficient" |
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135 | HeadIsentropic = (0.5*Zfac_in+0.5*Zfac_out)*(1/Mwm)*(IseCoeff/(IseCoeff-1.001))*Rgas*Inlet.T*((Outlet.P/Inlet.P)^((IseCoeff-1.001)/IseCoeff) - 1); |
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136 | |
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137 | "Polytropic Coefficient" |
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138 | HeadPolytropic = (0.5*Zfac_in+0.5*Zfac_out)*(1/Mwm)*(PolyCoeff/(PolyCoeff-1.001))*Rgas*Inlet.T*((Outlet.P/Inlet.P)^((PolyCoeff-1.001)/PolyCoeff) - 1); |
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139 | |
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140 | "Fluid Power" |
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141 | FluidPower = Head*sum(Mw*Inlet.z)*Inlet.F*EfficiencyOperation+PowerLoss; |
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142 | |
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143 | switch CompressorType |
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144 | |
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145 | case "Isentropic Operation": |
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146 | |
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147 | "Efficiency" |
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148 | EfficiencyOperation = IsentropicEff; |
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149 | |
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150 | case "Polytropic Operation": |
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151 | |
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152 | "Efficiency" |
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153 | EfficiencyOperation = PolytropicEff; |
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154 | |
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155 | end |
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156 | |
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157 | |
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158 | end |
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