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(* ASCEND modelling environment |
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Copyright (C) 1996 Carnegie Mellon University |
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Copyright (C) 2006 Carnegie Mellon University |
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|
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This program is free software; you can redistribute it and/or modify |
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it under the terms of the GNU General Public License as published by |
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the Free Software Foundation; either version 2, or (at your option) |
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any later version. |
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|
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This program is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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GNU General Public License for more details. |
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|
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You should have received a copy of the GNU General Public License |
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along with this program; if not, write to the Free Software |
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Foundation, Inc., 59 Temple Place - Suite 330, |
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Boston, MA 02111-1307, USA. |
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*) |
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REQUIRE "system.a4l"; |
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IMPORT "sensitivity/sensitivity"; |
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(* |
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This module is used to calculate the sensitity matrix dX/dU where |
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X is a vector OF vapor compositions and U is a vector OF liquid |
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compositions. This sensitivity matrix is THEN used to calculate |
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J, the Jacobian, as described IN Fidkowski et al. (1995). |
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|
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by Ben Allan, 1996 |
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Self-testing added by John Pye, 2007 |
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*) |
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|
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MODEL sensitivity_test; |
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nc IS_A integer_constant; |
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X[1..nc] IS_A solver_var; |
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U[1..nc] IS_A solver_var; |
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dx_du[1..nc][1..nc] IS_A solver_var; |
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(* system for investigation *) |
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k,x,y,u IS_A solver_var; |
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k*x - y = 7; |
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y = u^2; |
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(* hence, dx/du = 2*u/k *) |
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|
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nc:==1; |
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u,U[1] ARE_THE_SAME; |
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x,X[1] ARE_THE_SAME; |
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|
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METHODS |
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METHOD values; |
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FOR j IN [1..nc] DO |
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U[j] := j; |
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END FOR; |
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END values; |
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METHOD specify; |
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FIX u, k; |
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END specify; |
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METHOD on_load; |
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RUN reset; |
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RUN values; |
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END on_load; |
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METHOD analyse; |
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EXTERNAL do_sensitivity(SELF,U[1..nc],X[1..nc],dx_du[1..nc][1..nc]); |
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END analyse; |
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METHOD self_test; |
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FOR i IN [1..nc] DO (* X[i] *) |
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FOR j IN [1..nc] DO (* U[j] *) |
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ASSERT abs(dx_du[i][j] - 2*U[j]/k) < 0.00001 * 2 * U[j]/k; |
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END FOR; |
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END FOR; |
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END self_test; |
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END sensitivity_test; |
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