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 Sensitivity Analysis. User can compare with equivalent |
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17 | * Case study and compare the values with perturbations (finite differences). |
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18 | *-------------------------------------------------------------------- |
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19 | * |
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20 | *---------------------------------------------------------------------- |
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21 | * Author: Edson Cordeiro do Valle |
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22 | * |
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23 | *--------------------------------------------------------------------*# |
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24 | |
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25 | #Model with degrees of freedom complete in the model: 2 vars. and 2 eqs. |
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26 | #Warning : The units must be consistent in order to convert it correctly in the |
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27 | #CaseStudy section |
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28 | Model CS1 |
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29 | |
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30 | VARIABLES |
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31 | X as Real (Default=20,Lower=-10,Upper=1000, final Unit = 'm'); |
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32 | Y as Real (Default=200,Lower=-10000,Upper=100000000, final Unit = 'm^2'); |
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33 | |
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34 | PARAMETERS |
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35 | b0 as Real(Default=7, final Unit = 'm'); |
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36 | b1 as Real(Default=3, final Unit = 'm'); |
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37 | |
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38 | EQUATIONS |
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39 | #Y = b0*X^2 +b1^2*X; |
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40 | b0*Y = b1^2*X; |
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41 | Y = X ^ 2; |
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42 | |
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43 | end |
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44 | |
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45 | #Model with degrees of freedom UNCOMPLETE in the model: 2 vars. and 1 eqs., |
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46 | # need to specify 1 var. in the flowsheet section. |
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47 | #Warning : The units must be consistent in order to convert it correctly in the |
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48 | #CaseStudy section |
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49 | Model CS_flow1 |
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50 | |
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51 | VARIABLES |
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52 | X as Real (Default=2,Lower=-10,Upper=1000, final Unit = 'm'); |
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53 | Y as Real (Default=2,Lower=-10000,Upper=100000000, final Unit = 'm^2'); |
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54 | |
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55 | PARAMETERS |
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56 | b0 as Real(Default=7, final Unit = 'm'); |
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57 | b1 as Real(Default=3, final Unit = 'm'); |
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58 | |
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59 | EQUATIONS |
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60 | |
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61 | b0*Y = b1^2*X; |
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62 | |
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63 | |
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64 | end |
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65 | |
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66 | #Model with degrees of freedom UNCOMPLETE in the model: 3 vars. and 2 eqs., |
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67 | # need to specify 1 var. in the flowsheet section. |
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68 | #Warning : The units must be consistent in order to convert it correctly in the |
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69 | #CaseStudy section |
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70 | Model CS_flow2 |
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71 | |
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72 | VARIABLES |
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73 | X as Real (Default=20,Lower=-10,Upper=1000, final Unit = 'm'); |
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74 | X2 as Real (Default=20,Lower=-10,Upper=1000, final Unit = 'm'); |
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75 | Y as Real (Default=200,Lower=-10000,Upper=100000000, final Unit = 'm^2'); |
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76 | |
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77 | PARAMETERS |
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78 | b0 as Real(Default=7, final Unit = 'm'); |
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79 | b1 as Real(Default=3, final Unit = 'm'); |
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80 | |
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81 | EQUATIONS |
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82 | Y = b0*X^2/'m' +b1^2*X2/'m' -50.73*'m^2'; |
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83 | #b0*Y = b1^2*X; |
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84 | Y = X ^ 2; |
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85 | |
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86 | end |
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87 | #No need to specify |
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88 | FlowSheet Test_CS1 as CS1 |
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89 | |
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90 | |
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91 | OPTIONS |
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92 | Dynamic = false; |
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93 | |
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94 | end |
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95 | |
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96 | FlowSheet Test_CS_flow1 as CS_flow1 |
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97 | |
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98 | SPECIFY |
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99 | X = 5 * 'm'; |
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100 | |
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101 | OPTIONS |
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102 | Dynamic = false; |
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103 | |
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104 | end |
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105 | |
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106 | |
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107 | FlowSheet Test_CS4 as CS_flow2 |
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108 | |
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109 | SPECIFY |
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110 | X = 2.2*'m'; |
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111 | |
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112 | OPTIONS |
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113 | Dynamic = false; |
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114 | |
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115 | end |
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116 | |
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117 | |
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118 | |
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119 | Sensitivity Sense1 as Test_CS1 |
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120 | |
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121 | VARY |
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122 | |
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123 | b0 ; |
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124 | b1 ; |
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125 | |
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126 | RESPONSE |
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127 | |
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128 | Y ; |
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129 | |
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130 | end |
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131 | |
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132 | |
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133 | Sensitivity Sense2 as Test_CS_flow1 |
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134 | |
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135 | VARY |
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136 | |
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137 | X; |
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138 | |
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139 | RESPONSE |
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140 | |
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141 | Y ; |
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142 | |
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143 | end |
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144 | |
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145 | Sensitivity Sense3 as Test_CS4 |
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146 | |
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147 | VARY |
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148 | |
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149 | b0'cm'; |
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150 | X'cm'; |
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151 | |
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152 | RESPONSE |
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153 | |
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154 | Y 'cm^2'; |
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155 | |
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156 | end |
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157 | |
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158 | Sensitivity Sense4 as Test_CS1 |
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159 | |
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160 | VARY |
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161 | |
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162 | b0; |
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163 | b1; |
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164 | |
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165 | RESPONSE |
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166 | |
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167 | X; |
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168 | Y; |
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169 | |
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170 | end |
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171 | |
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172 | # Case study to compare with "Sense1" with perturbations: |
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173 | # Pick the table resulting from this CaseStudy and make: |
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174 | # d_Y/d_b0 = (Y(b0 = 7.01) - Y(b0 = 7.0))/(7.01 - 7.0) |
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175 | # d_Y/d_b1 = Y(b1 = 3.01) - Y(b1 = 3.0))/(3.01 - 3.0) |
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176 | CaseStudy CS_parameter as Test_CS1 |
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177 | |
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178 | VARY |
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179 | |
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180 | b0 =[ 7, 7.01]; |
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181 | b1 =[ 3, 3.01]; |
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182 | |
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183 | RESPONSE |
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184 | |
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185 | Y ; |
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186 | |
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187 | end |
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188 | |
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189 | # Case study to compare with "Sense2" with perturbations: |
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190 | # Pick the table resulting from this CaseStudy and make: |
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191 | # d_Y/d_b0 = (Y(b0 = 7.01) - Y(b0 = 7.0))/(7.01 - 7.0) |
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192 | # d_Y/d_X = Y(X = 5.01) - Y(X = 5.0))/(5.01 - 5.0) |
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193 | CaseStudy CS2_par_spec as Test_CS_flow1 |
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194 | |
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195 | VARY |
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196 | |
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197 | X = [5 , 5.01]; |
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198 | b0 =[ 7, 7.01]; |
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199 | |
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200 | RESPONSE |
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201 | |
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202 | Y ; |
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203 | |
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204 | end |
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205 | # Case study to compare with "Sense3" with perturbations: |
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206 | # Pick the table resulting from this CaseStudy and make: |
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207 | # d_Y/d_b0 = (Y(b0 = 7.01) - Y(b0 = 7.0))/(7.01 - 7.0) |
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208 | # d_Y/d_X = Y(X = 221) - Y(X = 220))/(220 - 221) |
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209 | CaseStudy CS_Unit_Vary as Test_CS4 |
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210 | |
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211 | VARY |
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212 | |
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213 | b0 =[ 7 : 0.01: 7.01]*'cm'; |
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214 | X =[ 220 : 1: 221]*'cm'; |
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215 | |
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216 | RESPONSE |
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217 | |
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218 | Y'cm^2' ; |
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219 | |
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220 | end |
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221 | |
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222 | # Case study to compare with "Sense4" with perturbations: |
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223 | # Pick the table resulting from this CaseStudy and make: |
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224 | # d_Y/d_b0 = (Y(b0 = 7.01) - Y(b0 = 7.0))/(7.01 - 7.0) |
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225 | # d_Y/d_b1 = (Y(b1 = 3.01) - Y(b1 = 3.0))/(3.01 - 3.0) |
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226 | # d_X/d_b0 = (X(b0 = 7.01) - X(b0 = 7.0))/(7.01 - 7.0) |
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227 | # d_X/d_b1 = (X(b1 = 3.01) - X(b1 = 3.0))/(3.01 - 3.0) |
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228 | CaseStudy CS_Unit_Vary_All as Test_CS1 |
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229 | |
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230 | VARY |
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231 | |
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232 | b0 =[ 7, 7.01]; |
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233 | b1 =[ 3, 3.01]; |
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234 | |
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235 | |
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236 | RESPONSE |
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237 | |
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238 | Y; |
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239 | X; |
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240 | |
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241 | end |
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