trunk/models/sensitivity_test.a4c

(*********************************************************************\
                        sensitivity_test.asc
                        by Ben Allan
                        Part of the Ascend Library

This file is part of the Ascend modeling library.

Copyright (C) 1996

The Ascend modeling library is free software; you can redistribute
it and/or modify it under the terms of the GNU General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version.

The Ascend Language Interpreter is distributed in hope that it will be
useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
General Public License for more details.

You should have received a copy of the GNU General Public License along with
the program; if not, write to the Free Software Foundation, Inc., 675
Mass Ave, Cambridge, MA 02139 USA.  Check the file named COPYING.

This module is used to calculate the sensitity matrix dX/dU where
X is a vector OF vapor compositions and U is a vector OF liquid
compositions. This sensitivity matrix is THEN used to calculate
J, the Jacobian, as described IN Fidkowski et al. (1995).

\*********************************************************************)

REQUIRE "system.a4l";

IMPORT "sensitivity/sensitivity";

MODEL sensitivity_test;
	nc IS_A integer_constant;
	X[1..nc] IS_A solver_var;
	U[1..nc], Unew[1..nc] IS_A solver_var;
	dx_du[1..nc][1..nc] IS_A solver_var;
 (* system *)
	k,x,y,u IS_A solver_var;
	k*x - y = 7;
	y = u^2; 
 (* dx/du = 2*u/k *)
	nc:==1;
	u,U[1] ARE_THE_SAME;
	x,X[1] ARE_THE_SAME;

METHODS

METHOD values;
END values;

METHOD specify;
	FIX u, k;
END specify;

METHOD on_load;
	RUN reset;
	RUN values;
END on_load;

METHOD analyse;
  EXTERNAL do_sensitivity(SELF,U[1..nc],X[1..nc],dx_du[1..nc][1..nc]);
END analyse;

END sensitivity_test;
1	(*********************************************************************\
2	sensitivity_test.asc
3	by Ben Allan
4	Part of the Ascend Library
5
6	This file is part of the Ascend modeling library.
7
8	Copyright (C) 1996
9
10	The Ascend modeling library is free software; you can redistribute
11	it and/or modify it under the terms of the GNU General Public License as
12	published by the Free Software Foundation; either version 2 of the
13	License, or (at your option) any later version.
14
15	The Ascend Language Interpreter is distributed in hope that it will be
16	useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
17	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
18	General Public License for more details.
19
20	You should have received a copy of the GNU General Public License along with
21	the program; if not, write to the Free Software Foundation, Inc., 675
22	Mass Ave, Cambridge, MA 02139 USA. Check the file named COPYING.
23
24	This module is used to calculate the sensitity matrix dX/dU where
25	X is a vector OF vapor compositions and U is a vector OF liquid
26	compositions. This sensitivity matrix is THEN used to calculate
27	J, the Jacobian, as described IN Fidkowski et al. (1995).
28
29	\*********************************************************************)
30
31	REQUIRE "system.a4l";
32
33	IMPORT "sensitivity/sensitivity";
34
35	MODEL sensitivity_test;
36	nc IS_A integer_constant;
37	X[1..nc] IS_A solver_var;
38	U[1..nc], Unew[1..nc] IS_A solver_var;
39	dx_du[1..nc][1..nc] IS_A solver_var;
40	(* system *)
41	k,x,y,u IS_A solver_var;
42	k*x - y = 7;
43	y = u^2;
44	(* dx/du = 2u/k )
45	nc:==1;
46	u,U[1] ARE_THE_SAME;
47	x,X[1] ARE_THE_SAME;
48
49	METHODS
50
51	METHOD values;
52	END values;
53
54	METHOD specify;
55	FIX u, k;
56	END specify;
57
58	METHOD on_load;
59	RUN reset;
60	RUN values;
61	END on_load;
62
63	METHOD analyse;
64	EXTERNAL do_sensitivity(SELF,U[1..nc],X[1..nc],dx_du[1..nc][1..nc]);
65	END analyse;
66
67	END sensitivity_test;