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Added mttroot/mtt/lib/examples/Chemical/Reactor/MakeFigure.m version [bcab2a5c23]. 












































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par = Reactor_numpar;		# Parameters
sym = Reactor_sympar;		# Parameter indices

F_s= [90:10:500];		# Range of flows

Z_a = []; Z_b = []; P = [];
for f_s=F_s
  par(sym.f_s) = f_s;
  [A,B,C,D] = Reactor_sm(par);	# Linearised system

  p = sort(eig(A));
  P = [P p];

  C_a = C([1 3],:);		# C vector for c_a and t
  D_a = D([1 3],:);		# D vector for c_a and t
  z_a = tzero(A,B,C_a,D_a);	# Transmission zeros for c_a and t
  Z_a = [Z_a z_a];

  C_b = C(2:3,:);		# C vector for c_b and t
  D_b = D(2:3,:);		# D vector for c_b and t
  z_b = tzero(A,B,C_b,D_b);	# Transmission zeros for c_b and t
  Z_b = [Z_b z_b];
endfor

grid; xlabel("f_s"); ylabel("p1,p2");
plot(F_s,P(1:2,:));
psfig("Reactor_pole_1_2");

grid; xlabel("f_s"); ylabel("p3");
plot(F_s,P(3,:));
psfig("Reactor_pole_3");

grid; xlabel("f_s"); ylabel("z_a");
plot(F_s,Z_a);
psfig("Reactor_zero_a");

grid; xlabel("f_s"); ylabel("z_b");
plot(F_s,Z_b);
psfig("Reactor_zero_b");









Added mttroot/mtt/lib/examples/Chemical/Reactor/Makefile version [97d3b40e97].

















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## Makes the schematic diagram and the (trasmission) zero figure
all: Reactor_pic.ps Reactor_zero_b.ps

Reactor_pic.ps: Reactor_pic.fig
	fig2dev -Lps Reactor_pic.fig> Reactor_pic.ps

Reactor_zero_b.ps: Reactor_abg.fig
	mtt -q Reactor sm m
	mtt -q Reactor numpar m;
	mtt -q Reactor sympar m;
	octave MakeFigure.m










Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_abg.fig version [42573cb4d6].













































































































































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#FIG 3.2
Portrait
Center
Inches
A4      
100.00
Single
-2
1200 2
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3001 8701 3001 7801 3151 7951
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 1801 9001 2701 9001 2551 9151
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 2701 8776 2701 9226
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3301 9001 4201 9001 4051 9151
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 4201 9301 3601 9901 3826 9901
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 5701 9001 4801 9001 4951 9151
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 1800 6000 2700 6000 2550 6150
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 1
	 10350 5025
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 1800 6000 1800 5775
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 1800 6225 1800 6000
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 10200 600 10200 600 7500 11100 7500 11100 10200
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 6600 600 6600 600 5400 11100 5400 11100 6600
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 2
	 5700 8775 5700 9225
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 4425 9300 3975 9300
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 3
	 4500 4800 4500 8700 4650 8550
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 6000 4800 4800 8700 5025 8625
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 9000 4800 5100 8700 5400 8700
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 4725 4800 4275 4800
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 4725 4200 4275 4200
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 6225 4800 5775 4800
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 6225 4200 5775 4200
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 9225 4800 8775 4800
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 9225 4200 8775 4200
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3000 7200 3000 6300 3150 6450
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 10500 4800 3300 6000 3525 6075
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 5100 600 5100 600 3300 11100 3300 11100 5100
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 4485 2395 4485 4130 4633 3841
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 2999 2395 2999 4130 3148 3841
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 5970 2395 5970 4130 6119 3841
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 10428 2397 10428 4132 10577 3843
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 8943 2397 8943 4132 9091 3843
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 1800 2100 2700 2100 2550 2250
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3300 2100 4200 2100 4050 2250
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 4800 2100 5700 2100 5550 2250
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 4200 1800 3600 1200 3600 1425
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 2700 1875 2700 2325
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 8701 1801 8101 1201 8101 1426
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 9301 2101 10201 2101 10051 2251
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 6300 2100 7200 2100 7050 2250
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 7800 2100 8700 2100 8550 2250
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 4050 1950 4350 1650
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 8550 1950 8850 1650
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 300 600 300 600 2700 11100 2700 11100 300
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3000 4800 3000 5700 3150 5550
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 9301 1801 9901 1201 9901 1426
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 10050 1350 9900 1200
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 9900 1200 9750 1050
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 4801 1801 5401 1201 5401 1426
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 5550 1350 5400 1200
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 5400 1200 5250 1050
4 1 0 0 0 0 20 0.0000 4 210 1035 3075 4575 FMR:rfa\001
4 1 0 0 0 0 20 0.0000 4 210 1065 4575 4575 Rate:AD\001
4 1 0 0 0 0 20 0.0000 4 210 1050 6000 4575 Rate:AB\001
4 2 0 0 0 0 20 0.0000 4 285 780 1651 9076 SS:t_0\001
4 2 0 0 0 0 20 0.0000 4 285 690 3451 9976 C:h_r\001
4 1 0 0 0 0 20 0.0000 4 210 150 3000 6075 1\001
4 2 0 0 0 0 20 0.0000 4 210 480 1725 6075 SS:f\001
4 1 0 0 0 0 20 0.0000 4 210 150 3001 9076 1\001
4 1 0 0 0 0 20 0.0000 4 210 150 4501 9076 0\001
4 1 0 0 0 0 20 0.0000 4 210 1005 9001 4576 Rate:BC\001
4 1 0 0 0 0 20 0.0000 4 210 1050 10576 4576 FMR:rfb\001
4 1 1 1 0 3 20 0.0000 4 210 2625 9600 7800 THERMAL MODEL\001
4 1 1 1 0 3 20 0.0000 4 210 2940 9450 5700 HYDRAULIC MODEL\001
4 1 0 0 0 0 20 0.0000 4 210 900 3000 7575 FMR:rt\001
4 1 1 1 0 3 20 0.0000 4 210 2700 9675 3750 REACTION MODEL\001
4 2 0 0 0 0 20 0.0000 4 285 825 1650 2175 SS:c_0\001
4 1 0 0 0 0 20 0.0000 4 210 150 3000 2175 1\001
4 1 0 0 0 0 20 0.0000 4 210 150 4500 2175 0\001
4 1 0 0 0 0 20 0.0000 4 210 150 6000 2175 1\001
4 1 0 0 0 0 20 0.0000 4 210 150 9001 2176 0\001
4 1 0 0 0 0 20 0.0000 4 210 150 10501 2176 1\001
4 1 0 0 0 0 20 0.0000 4 210 420 7500 2175 AF\001
4 1 0 0 0 0 20 0.0000 4 285 795 8100 1050 C:m_b\001
4 1 0 0 0 0 20 0.0000 4 285 780 3600 1050 C:m_a\001
4 1 1 0 0 3 20 0.0000 4 210 3735 9075 600 CONCENTRATION MODEL\001
4 1 0 0 0 0 20 0.0000 4 210 480 6151 9076 SS:t\001
4 1 0 0 0 0 20 0.0000 4 285 825 9975 1050 SS:c_b\001
4 1 0 0 0 0 20 0.0000 4 285 810 5475 1050 SS:c_a\001








Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_desc.tex version [b3d301e887].


































































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% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system Reactor (Reactor_desc.tex)
% Generated by MTT on Fri Mar 3 12:43:33 GMT 2000.

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\fig{Reactor_pic}
{Reactor_pic} {0.9} {System \textbf{Reactor}, Schematic}

Figure \Ref{fig:Reactor_pic} is the schematic diagram od a chemical reactor.
The acausal bond graph of system \textbf{Reactor} is displayed in
Figure \Ref{fig:Reactor_abg.ps} and its label file is listed in
Section \Ref{sec:Reactor_lbl}.  The subsystems are listed in Section
\Ref{sec:Reactor_sub}.

This example of a (nonlinear) chemical reactor is due to Trickett and
Bogle\footnote{ K. J. Tricket, \emph{Quantification of Inverse
    Responses for Controllability Assessment of Nonlinear Processes},
  PhD Thesis, University College London, 1994} is used in this
section.  The reactor has two reaction mechanisms: $\text{A}
\rightarrow \text{B} \rightarrow \text{C}$ and $\text{2A} \rightarrow
\text{D}$.  The reactor mass inflow and outflow $f_r$ are identical.
$q$ represents the heat inflow to the reactor.

This is a two input, two-output unstable nonlinear system with unstable zero
dynamics.
The following figures illustrate the properties of the
\emph{linearised} system.

\fig{Reactor_pole_1_2}
{Reactor_pole_1_2} {0.9} {System \textbf{Reactor}: poles 1 and 2
  v. steady-state flow $f_s$}

\fig{Reactor_pole_3}
{Reactor_pole_3} {0.9} {System \textbf{Reactor}: pole 3
  v. steady-state flow $f_s$}

\fig{Reactor_zero_a}
{Reactor_zero_a} {0.9} {System \textbf{Reactor}: zero of system with
  $t$ and $c_a$ as output
  v. steady-state flow $f_s$}

\fig{Reactor_zero_b}
{Reactor_zero_b} {0.9} {System \textbf{Reactor}: pole 3
  v. steady-state flow $f_s$}

\begin{itemize}
\item Figures \Ref{fig:Reactor_pole_1_2} and
  \Ref{fig:Reactor_pole_3} show the three poles of the
  \emph{linearised} system as the steady-state flow varies. 
\item Figure \Ref{fig:Reactor_zero_a} shows the system zero (when $t$ and
  $c_a$ are the two system outputs) as the
  \emph{linearised} system as the steady-state flow varies. 
\item Figure \Ref{fig:Reactor_zero_b} shows the system zero (when $t$ and
  $c_b$ are the two system outputs) as the
  \emph{linearised} system as the steady-state flow varies. 
\end{itemize}








Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_input.txt version [94324e4c27].





























































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# -*-octave-*- Put Emacs into octave-mode
# Input specification (Reactor_input.txt)
# Generated by MTT at Fri Mar  3 11:52:23 GMT 2000
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################

## Reduce steady-state parameter file (Reactor_sspar.r)
## as siso_sspar ecxept that inputs/states have different meaning
## Steady state for constant c_a, c_b and t=t_s and f=f_s

## Unit volume Reactor:
v_r = 1;


## The exponentials.
e_1 = exp(-q_1/t_s);
e_2 = exp(-q_2/t_s);
e_3 = exp(-q_3/t_s);

## Solve for the steady-state concentrations
## Solve for ca - a quadratic.
a 	= k_3*e_3;	#ca^2 
b 	= k_1*e_1 + f_s;	#ca^1 
c 	= -c_0*f_s;

c_a	= (-b + sqrt(b^2 - 4*a*c))/(2*a);

## solve for c_b
c_b 	= c_a*k_1*e_1/(f_s+k_2*e_2);


#States (masses)
x1 = c_a*v_r;
x2 = c_b*v_r;

#Thermal state
x3 = c_p*t_s*v_r;


#Steady-state input q needed to achieve steady-state t_s
q_s = -( (t_0-t_s)*c_p*f_s + e_1*h_1*k_1*x1 + e_2*h_2*k_2*x2 + e_3*h_3*k_3*x1^2);

## The two inputs at steady-state
u1 = f_s;
u2 = q_s;


# Set the inputs
mttu(1) = u1 + 0.1*u1*(t>0.01); # f (Reactor)
mttu(2) = u2 + 0.1*u2*(t>0.05) ; # t (Reactor)











Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_lbl.txt version [4b8c69ad2e].









































































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%% Label file for system Reactor (Reactor_lbl.txt)
%SUMMARY Reactor: Simple reactor model
%DESCRIPTION Pseudo bond graph reactor model (based on ancient version)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%ALIAS Rate Chemical/Rate

% Extra variables
%VAR t_s
%VAR f_s
%VAR t_0
%VAR c_0
%VAR rho
%VAR v_r
%VAR e_1
%VAR e_2
%VAR e_3
%VAR a
%VAR b
%VAR c
%VAR c_A
%VAR c_B
%VAR x1
%VAR x2
%VAR x3
%VAR q_S

%VAR u1
%VAR u2

% Port aliases

% Argument aliases

%% each line should be of one of the following forms:
%	     a comment (ie starting with %)
%	     component-name	cr_name	arg1,arg2,..argn
%	     blank

% ---- Component labels ----
% Component type C
	m_a	lin		effort,1
	m_b	lin		effort,1
	h_r	lin		effort,c_p

% Component type FMR
	rfa	lin		effort,1		
	rfb	lin		effort,1		
	rt	lin		effort,c_p

% Component type Rate
        AB	Rate	k_1,q_1,h_1,1
	BC	Rate	k_2,q_2,h_2,1
	AD	Rate	k_3,q_3,h_3,2

% Component type SS
	c_0	SS		c_0,internal
	c_a	SS		external,0
	c_b	SS		external,0
	f	SS		internal,external
	t	SS		external,external
	t_0	SS		t_0,internal








Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_numpar.txt version [a664ac56b4].



















































































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# -*-octave-*- Put Emacs into octave-mode
# Numerical parameter file (Reactor_numpar.txt)
# Generated by MTT at Fri Mar  3 09:22:56 GMT 2000

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

## Dummies
a = 0;				# Dummy
b = 0;				# Dummy
c = 0;				# Dummy
c_0 = 0;			# Dummy
c_a = 0;			# Dummy
c_b = 0;			# Dummy
c_p = 0;			# Dummy
e_1 = 0;			# Dummy
e_2 = 0;			# Dummy
e_3 = 0;			# Dummy
f_s = 0;			# Dummy
h = 0;				# Dummy
h_1 = 0;			# Dummy
h_2 = 0;			# Dummy
h_3 = 0;			# Dummy
k = 0;				# Dummy
k_1 = 0;			# Dummy
k_2 = 0;			# Dummy
k_3 = 0;			# Dummy
n = 0;				# Dummy
q = 0;				# Dummy
q_1 = 0;			# Dummy
q_2 = 0;			# Dummy
q_3 = 0;			# Dummy
q_s = 0;			# Dummy
rho = 0;			# Dummy
t_0 = 0;			# Dummy
t_s = 0;			# Dummy
v_r = 0;			# Dummy
x1 = 0;				# Dummy
x2 = 0;				# Dummy
x3 = 0;				# Dummy

## The bulk liquid
rho = 900;			# Density
c_p = 5.0;			# Specific heat

## Substance A
k_1 = 2.5e10;			# Reaction rate constant
q_1 = 1e4;			# Exotherm constant
h_1 = 1e4;			# Heat of reaction

## Substance B
k_2 = 2.65e12;			# Reaction rate constant
q_2 = 1.2e4;			# Exotherm constant
h_2 = 1.2e4;			# Heat of reaction

## Substance C
k_3 = 6e7;			# Reaction rate constant
q_3 = 8e3;			# Exotherm constant
h_3 = 3e4;			# Heat of reaction

## Inflow parameters
c_0 = 10;			# Inflow conc
t_0 = 530;			# Inflow temp

## Steady-state values
t_s = 530;			# Steady-state temp
f_s = 100;			# Steady-state flow
















Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_pic.fig version [c396b14562].
























































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#FIG 3.2
Landscape
Center
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Letter  
100.00
Single
-2
1200 2
6 2400 3150 3225 3375
2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 2625 3300 2925 3300
4 0 -1 0 0 2 20 0.0000 4 210 210 2400 3375 A\001
4 0 -1 0 0 2 20 0.0000 4 210 225 3000 3375 D\001
-6
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 2100 2100 2100 3900 1500 3900
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 1500 4050 3900 4050
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 2.00 120.00 240.00
	 1500 4350 2100 4350
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 3600 2100 3600 3900 4200 3900
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 2.00 120.00 240.00
	 3600 4350 4200 4350
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 3900 4050 4200 4050
2 1 1 2 -1 -1 0 0 -1 6.000 0 0 -1 0 0 2
	 2100 2400 3600 2400
2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 2400 2925 2700 2925
2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 3000 2925 3300 2925
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 2.00 120.00 240.00
	 2850 4800 2850 3750
4 0 -1 0 0 2 20 0.0000 4 210 210 2175 3000 A\001
4 0 -1 0 0 2 20 0.0000 4 210 195 2775 3000 B\001
4 0 -1 0 0 2 20 0.0000 4 210 210 3375 3000 C\001
4 0 -1 0 0 2 20 0.0000 4 210 150 2250 3375 2\001
4 0 -1 0 0 3 12 0.0000 4 135 90 1875 4950 0\001
4 0 -1 0 0 3 12 0.0000 4 135 90 2250 4950 0\001
4 0 -1 0 0 3 20 0.0000 4 210 150 2775 5025 q\001
4 0 -1 0 0 3 20 0.0000 4 285 765 1500 4800 f , c  , t\001
4 0 -1 0 0 3 20 0.0000 4 285 765 3600 4800 f , c  , t\001
4 0 -1 0 0 3 12 0.0000 4 135 90 3975 4950 b\001
4 0 -1 0 0 3 12 0.0000 4 90 75 4350 4950 r\001








Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_rep.txt version [db07825607].





































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## -*-octave-*- Put Emacs into octave-mode
## Outline report file for system Reactor (Reactor_rep.txt)
## Generated by MTT on" Fri Mar  3 12:13:34 GMT 2000.

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################

mtt Reactor abg tex			# The system description
mtt Reactor cbg ps 		        # The causal bond graph
## Uncomment the following lines or add others
mtt Reactor struc tex	        # The system structure
## mtt Reactor dae tex	        # The system dae
mtt Reactor ode tex	        # The system ode 
mtt Reactor sspar tex		# Steady-state parameters
mtt Reactor ss tex 		# Steady state
## mtt Reactor dm tex		# Descriptor matrices (of linearised system)
mtt Reactor sm tex		# State matrices (of linearised system)
## mtt Reactor tf tex		# Transfer function (of linearised system)
## mtt Reactor lmfr ps		# log modulus of frequency response (of linearised system)
mtt Reactor simpar tex		# Simulation parameters
mtt Reactor numpar tex		# Numerical simulation parameters
mtt Reactor input tex		# Simulation input
mtt Reactor state tex		# Simulation initial state

## The system outputs
mtt -c Reactor odeso ps 'Reactor_c_a'
mtt -c Reactor odeso ps 'Reactor_c_b'
mtt -c Reactor odeso ps 'Reactor_t'









Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_simp.r version [c0625028b5].

























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%% Reduce comands to simplify output (mimo_sim.r)
m_r   := rho*v_r;
%mttx1 := c_a*v_r;
%mttx2 := c_b*v_r;

% THIS MUST BE CHANGED - probs with cp and FMRs
%c_p := 1;

%let mttx3/c_p = t;

let  e^(q_1/(mttx3/c_p)) = 1/epsilon_1;
let  e^(q_2/(mttx3/c_p)) = 1/epsilon_2;
let  e^(q_3/(mttx3/c_p)) = 1/epsilon_3;

let  e^(q_1/t_s) = 1/epsilon_1;
let  e^(q_2/t_s) = 1/epsilon_2;
let  e^(q_3/t_s) = 1/epsilon_3;

FACTOR mttx1,mttx2;

END;








Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_simpar.txt version [5dd7482825].

























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# -*-octave-*- Put Emacs into octave-mode
# Simulation parameters for system Reactor (Reactor_simpar.txt)
# Generated by MTT on Fri Mar 3 12:11:48 GMT 2000.
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.1  2000/08/24 12:32:25  peterg
## Initial revision
##
###############################################################


LAST        = 0.1;       # Last time in simulation
DT          = 0.0002;        # Print interval
STEPFACTOR  = 1;          # Integration steps per print interval
WMIN        = -1;         # Minimum frequency = 10^WMIN
WMAX        = 2;          # Maximum frequency = 10^WMAX
WSTEPS      = 100;        # Number of frequency steps
INPUT       = 1;          # Index of the input








Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_sspar.r version [f8d86e9c44].





























































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%% Reduce steady-state parameter file (Reactor_sspar.r)
%% as siso_sspar ecxept that inputs/states have different meaning
%% Steady state for constant c_a, c_b and t=t_s and f=f_s

%% Unit volume Reactor:
v_r := 1;

%% Do the inputs first -- this avoids problems with reduce not
%% recognising that complicated expressions are zero

%% The exponentials.
e_1 := e^(-q_1/t_s);
e_2 := e^(-q_2/t_s);
e_3 := e^(-q_3/t_s);

%Steady-state input q needed to achieve steady-state t_s
q_s := -( 
        + (t_0-t_s)*c_p*f_s
        + e_1*h_1*k_1*x1
        + e_2*h_2*k_2*x2
        + e_3*h_3*k_3*x1^2
       );

%% The two inputs at steady-state
MTTu1 := f_s;
MTTu2 := q_s;

%States (masses)
x1 := c_a*v_r;
x2 := c_b*v_r;

%Thermal state
x3 := c_p*t_s*v_r;

%Load up the vectors
MTTx1 := x1;
MTTx2 := x2;
MTTx3 := x3;

MTTy1 := c_b;
MTTy2 := t_s;

%% Finally, solve for the steady-state concentrations
%% Solve for ca - a quadratic.
a 	:= k_3*e_3;	%ca^2 
b 	:= k_1*e_1 + f_s;	%ca^1 
c 	:= -c_0*f_s;

c_a	:= (-b + sqrt(b^2 - 4*a*c))/(2*a);

%% solve for c_b
c_b 	:= c_a*k_1*e_1/(f_s+k_2*e_2);


END;










Added mttroot/mtt/lib/examples/Chemical/Reactor/Reactor_state.txt version [47f84318d6].






























































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# -*-octave-*- Put Emacs into octave-mode
# State specification (Reactor_state.txt)
# Generated by MTT at Fri Mar  3 11:52:23 GMT 2000
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################

## Reduce steady-state parameter file (Reactor_sspar.r)
## as siso_sspar ecxept that states/states have different meaning
## Steady state for constant c_a, c_b and t=t_s and f=f_s

## Unit volume Reactor:
v_r = 1;


## The exponentials.
e_1 = exp(-q_1/t_s);
e_2 = exp(-q_2/t_s);
e_3 = exp(-q_3/t_s);

## Solve for the steady-state concentrations
## Solve for ca - a quadratic.
a 	= k_3*e_3;	#ca^2 
b 	= k_1*e_1 + f_s;	#ca^1 
c 	= -c_0*f_s;

c_a	= (-b + sqrt(b^2 - 4*a*c))/(2*a);

## solve for c_b
c_b 	= c_a*k_1*e_1/(f_s+k_2*e_2);


#States (masses)
x1 = c_a*v_r;
x2 = c_b*v_r;

#Thermal state
x3 = c_p*t_s*v_r;


#Steady-state state q needed to achieve steady-state t_s
q_s = -((t_0-t_s)*c_p*f_s + e_1*h_1*k_1*x1 + e_2*h_2*k_2*x2 + e_3*h_3*k_3*x1^2);

## The two inputs at steady-state
u1 = f_s;
u2 = q_s;

## Load up the states
mttx(1) = x1;
mttx(2) = x2;
mttx(3) = x3;












Modified mttroot/mtt/lib/examples/Chemical/ReactorTF/MakeFigure.m
from [bef9cb3f0c]
to [138a415543].



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-
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## Makes the figures

par = ReactorTF_numpar;		# Parameters
sym = Reactor_sympar;		# Parameter indices
sym = ReactorTF_sympar;		# Parameter indices

F_s= [90:10:500];		# Range of flows

Z = [];
for f_s=F_s
  par(sym.f_s) = f_s;
  z = sort(eig(ReactorTF_sm(par)));




︙







Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_abg.fig version [986d2c3f0d].






































































































































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#FIG 3.2
Portrait
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A4      
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1200 2
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3001 8701 3001 7801 3151 7951
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 1801 9001 2701 9001 2551 9151
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 2701 8776 2701 9226
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3301 9001 4201 9001 4051 9151
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 4201 9301 3601 9901 3826 9901
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 5701 9001 4801 9001 4951 9151
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 1800 6000 2700 6000 2550 6150
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 1
	 10350 5025
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 1800 6000 1800 5775
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 10200 600 10200 600 7500 11100 7500 11100 10200
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 6600 600 6600 600 5400 11100 5400 11100 6600
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 3
	 4500 4800 4500 8700 4650 8550
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 6000 4800 4800 8700 5025 8625
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 9000 4800 5100 8700 5400 8700
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 4725 4800 4275 4800
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 4725 4200 4275 4200
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 6225 4800 5775 4800
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 6225 4200 5775 4200
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 9225 4800 8775 4800
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 9225 4200 8775 4200
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3000 7200 3000 6300 3150 6450
2 1 0 2 0 7 100 0 -1 0.000 0 0 -1 0 0 3
	 10500 4800 3300 6000 3525 6075
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 5100 600 5100 600 3300 11100 3300 11100 5100
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 4485 2395 4485 4130 4633 3841
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 2999 2395 2999 4130 3148 3841
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 5970 2395 5970 4130 6119 3841
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 10428 2397 10428 4132 10577 3843
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 8943 2397 8943 4132 9091 3843
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 1800 2100 2700 2100 2550 2250
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3300 2100 4200 2100 4050 2250
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 4800 2100 5700 2100 5550 2250
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 4200 1800 3600 1200 3600 1425
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 2700 1875 2700 2325
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 8701 1801 8101 1201 8101 1426
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 9301 2101 10201 2101 10051 2251
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 9301 1801 9901 1201 9901 1426
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 6300 2100 7200 2100 7050 2250
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 7800 2100 8700 2100 8550 2250
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 4050 1950 4350 1650
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 10050 1350 9900 1200
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 9900 1200 9750 1050
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 8550 1950 8850 1650
2 4 1 2 1 7 0 0 -1 4.000 0 0 7 0 0 5
	 11100 300 600 300 600 2700 11100 2700 11100 300
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 3
	 3000 4800 3000 5700 3150 5550
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 2
	 4800 8775 4800 9000
2 1 0 2 0 0 0 0 -1 0.000 0 0 0 0 0 2
	 5700 9000 5700 9225
2 1 0 2 -1 7 0 0 -1 0.000 0 0 -1 0 0 2
	 2700 6225 2700 6000
4 1 0 0 0 0 20 0.0000 4 210 1035 3075 4575 FMR:rfa\001
4 1 0 0 0 0 20 0.0000 4 210 1065 4575 4575 Rate:AD\001
4 1 0 0 0 0 20 0.0000 4 210 1050 6000 4575 Rate:AB\001
4 2 0 0 0 0 20 0.0000 4 285 780 1651 9076 SS:t_0\001
4 2 0 0 0 0 20 0.0000 4 285 690 3451 9976 C:h_r\001
4 1 0 0 0 0 20 0.0000 4 210 150 3000 6075 1\001
4 2 0 0 0 0 20 0.0000 4 210 480 1725 6075 SS:f\001
4 1 0 0 0 0 20 0.0000 4 210 150 3001 9076 1\001
4 1 0 0 0 0 20 0.0000 4 210 150 4501 9076 0\001
4 1 0 0 0 0 20 0.0000 4 210 1005 9001 4576 Rate:BC\001
4 1 0 0 0 0 20 0.0000 4 210 1050 10576 4576 FMR:rfb\001
4 1 1 1 0 3 20 0.0000 4 210 2625 9600 7800 THERMAL MODEL\001
4 1 0 0 0 0 20 0.0000 4 210 900 3000 7575 FMR:rt\001
4 1 1 1 0 3 20 0.0000 4 210 2700 9675 3750 REACTION MODEL\001
4 2 0 0 0 0 20 0.0000 4 285 825 1650 2175 SS:c_0\001
4 1 0 0 0 0 20 0.0000 4 210 150 3000 2175 1\001
4 1 0 0 0 0 20 0.0000 4 210 150 4500 2175 0\001
4 1 0 0 0 0 20 0.0000 4 210 150 6000 2175 1\001
4 1 0 0 0 0 20 0.0000 4 210 150 9001 2176 0\001
4 1 0 0 0 0 20 0.0000 4 210 150 10501 2176 1\001
4 1 0 0 0 0 20 0.0000 4 210 420 7500 2175 AF\001
4 1 0 0 0 0 20 0.0000 4 285 795 8100 1050 C:m_b\001
4 1 0 0 0 0 20 0.0000 4 285 825 9975 1050 SS:c_b\001
4 1 0 0 0 0 20 0.0000 4 285 780 3600 1050 C:m_a\001
4 1 1 0 0 3 20 0.0000 4 210 3735 9075 600 CONCENTRATION MODEL\001
4 1 0 0 0 0 20 0.0000 4 210 480 6151 9076 SS:t\001
4 1 1 1 0 3 20 0.0000 4 210 2940 9450 5700 HYDRAULIC MODEL\001








Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_args.new version [5936bc7523].





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Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_desc.tex version [75defbbb1b].






















































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% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system ReactorTF (ReactorTF_desc.tex)
% Generated by MTT on Fri Mar 3 12:43:33 GMT 2000.

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\fig{ReactorTF_pic}
{ReactorTF_pic} {0.9} {System \textbf{ReactorTF}, Schematic}

Figure \Ref{fig:ReactorTF_pic} is the schematic diagram of a chemical
reactor.

The acausal bond graph of system \textbf{ReactorTF} is displayed in
Figure \Ref{fig:ReactorTF_abg.ps} and its label file is listed in
Section \Ref{sec:ReactorTF_lbl}.  The subsystems are listed in Section
\Ref{sec:ReactorTF_sub}.

This example of a (nonlinear) chemical reactor is due to Trickett and
Bogle\footnote{ K. J. Tricket, \emph{Quantification of Inverse
    Responses for Controllability Assessment of Nonlinear Processes},
  PhD Thesis, University College London, 1994} is used in this
section.  The reactor has two reaction mechanisms: $\text{A}
\rightarrow \text{B} \rightarrow \text{C}$ and $\text{2A} \rightarrow
\text{D}$.  The reactor mass inflow and outflow $f_r$ are identical.
$q$ represents the heat inflow to the reactor.

The control loop $t$/$f$ has been inverted. The resulting SISO
system has two interpretations:
\begin{enumerate}
\item the \emph{dynamics} of the $c_b$/$q$ loop when the $t$/$f$ loop
  is under perfect control and
\item the \emph{inverse} dynamics of the  $t$/$f$ loop.
\end{enumerate}

\fig{ReactorTF_zero_1} {ReactorTF_zero_1} {0.9}
{System\textbf{ReactorTF}: zero 1 v flow} 
\fig{ReactorTF_zero_2} {ReactorTF_zero_2} {0.9}
{System\textbf{ReactorTF}: zero 2 v flow} 

Figures \Ref{fig:ReactorTF_zero_1} and \Ref{fig:ReactorTF_zero_2}
shows the poles of the linearised system as the steady-state flow
varies: these are the \emph{zeros} of the $t$/$f$ control-loop when
the $c_b$/$q$ loop is \emph{open}.










Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_input.txt version [f7ef1cabad].
























































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# -*-octave-*- Put Emacs into octave-mode
# Input specification (ReactorTF_input.txt)
# Generated by MTT at Fri Mar  3 11:52:23 GMT 2000
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################

## Reduce steady-state parameter file (ReactorTF_sspar.r)
## as siso_sspar ecxept that inputs/states have different meaning
## Steady state for constant c_a, c_b and t=t_s and f=f_s

## Unit volume ReactorTF:
v_r = 1;


## The exponentials.
e_1 = exp(-q_1/t_s);
e_2 = exp(-q_2/t_s);
e_3 = exp(-q_3/t_s);

## Solve for the steady-state concentrations
## Solve for ca - a quadratic.
a 	= k_3*e_3;	#ca^2 
b 	= k_1*e_1 + f_s;	#ca^1 
c 	= -c_0*f_s;

c_a	= (-b + sqrt(b^2 - 4*a*c))/(2*a);

## solve for c_b
c_b 	= c_a*k_1*e_1/(f_s+k_2*e_2);


#States (masses)
x1 = c_a*v_r;
x2 = c_b*v_r;

#Thermal state
#x3 = c_p*t_s*v_r;


#Steady-state input q needed to achieve steady-state t_s
q_s = -( (t_0-t_s)*c_p*f_s + e_1*h_1*k_1*x1 + e_2*h_2*k_2*x2 + e_3*h_3*k_3*x1^2);

# Set the inputs
mttu(1) = q_s + 0.1*q_s*(t>0.01); # q (ReactorTF)












Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_lbl.txt version [ee07601a68].









































































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%% Label file for system ReactorTF (ReactorTF_lbl.txt)
%SUMMARY ReactorTF: Simple reactor model -- TF loop inverted
%DESCRIPTION Pseudo bond graph reactor model (based on ancient version)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%ALIAS Rate Chemical/Rate

% Extra variables
%VAR t_s
%VAR f_s
%VAR t_0
%VAR c_0
%VAR rho
%VAR v_r
%VAR e_1
%VAR e_2
%VAR e_3
%VAR a
%VAR b
%VAR c
%VAR c_A
%VAR c_B
%VAR x1
%VAR x2
%VAR x3
%VAR q_S


% Port aliases

% Argument aliases

%% each line should be of one of the following forms:
%	     a comment (ie starting with %)
%	     component-name	cr_name	arg1,arg2,..argn
%	     blank

% ---- Component labels ----
% Component type C
	m_a	lin		effort,1
	m_b	lin		effort,1
	h_r	lin		effort,c_p

% Component type FMR
	rfa	lin		effort,1		
	rfb	lin		effort,1		
	rt	lin		effort,c_p

% Component type Rate
        AB	Rate	k_1,q_1,h_1,1
	BC	Rate	k_2,q_2,h_2,1
	AD	Rate	k_3,q_3,h_3,2

% Component type SS
	c_0	SS		c_0,internal
	c_b	SS		external,0
	f	SS		internal,internal
	t	SS		t_s,external
	t_0	SS		t_0,internal











Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_numpar.m version [b474b96e57].






























































































































































































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function mttpar = ReactorTF_numpar();
% mttpar = ReactorTF_numpar();
%System ReactorTF, representation numpar, language m;
%File ReactorTF_numpar.m;
%Generated by MTT on Thu Aug 24 14:28:46 BST 2000;
%

#====== Set up the global variables ======#
global ...
     a ...
     b ...
     c ...
     c_0 ...
     c_a ...
     c_b ...
     c_p ...
     e_1 ...
     e_2 ...
     e_3 ...
     f_s ...
     h ...
     h_1 ...
     h_2 ...
     h_3 ...
     k ...
     k_1 ...
     k_2 ...
     k_3 ...
     n ...
     q ...
     q_1 ...
     q_2 ...
     q_3 ...
     q_s ...
     rho ...
     t_0 ...
     t_s ...
     v_r ...
     x1 ...
     x2 ...
     x3 ;
## Set parameters to zero
 a = 0.0;
 b = 0.0;
 c = 0.0;
 c_0 = 0.0;
 c_a = 0.0;
 c_b = 0.0;
 c_p = 0.0;
 e_1 = 0.0;
 e_2 = 0.0;
 e_3 = 0.0;
 f_s = 0.0;
 h = 0.0;
 h_1 = 0.0;
 h_2 = 0.0;
 h_3 = 0.0;
 k = 0.0;
 k_1 = 0.0;
 k_2 = 0.0;
 k_3 = 0.0;
 n = 0.0;
 q = 0.0;
 q_1 = 0.0;
 q_2 = 0.0;
 q_3 = 0.0;
 q_s = 0.0;
 rho = 0.0;
 t_0 = 0.0;
 t_s = 0.0;
 v_r = 0.0;
 x1 = 0.0;
 x2 = 0.0;
 x3 = 0.0;
 %  -*-octave-*- Put Emacs into octave-mode
 %  Numerical parameter file (ReactorTF_numpar.txt)
 %  Generated by MTT at Fri Mar  3 09:22:56 GMT 2000

 %  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %  %% Version control history
 %  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %  %% $Id$
 %  %% $Log$
 %  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

 % 
a =  0;				 %  Dummy
b =  0;				 %  Dummy
c =  0;				 %  Dummy
c_0 =  0;			 %  Dummy
c_a =  0;			 %  Dummy
c_b =  0;			 %  Dummy
c_p =  0;			 %  Dummy
e_1 =  0;			 %  Dummy
e_2 =  0;			 %  Dummy
e_3 =  0;			 %  Dummy
f_s =  0;			 %  Dummy
h =  0;				 %  Dummy
h_1 =  0;			 %  Dummy
h_2 =  0;			 %  Dummy
h_3 =  0;			 %  Dummy
k =  0;				 %  Dummy
k_1 =  0;			 %  Dummy
k_2 =  0;			 %  Dummy
k_3 =  0;			 %  Dummy
n =  0;				 %  Dummy
q =  0;				 %  Dummy
q_1 =  0;			 %  Dummy
q_2 =  0;			 %  Dummy
q_3 =  0;			 %  Dummy
q_s =  0;			 %  Dummy
rho =  0;			 %  Dummy
t_0 =  0;			 %  Dummy
t_s =  0;			 %  Dummy
v_r =  0;			 %  Dummy
x1 =  0;				 %  Dummy
x2 =  0;				 %  Dummy
x3 =  0;				 %  Dummy

 % 
rho =  900;			 %  Density
c_p =  5.0;			 %  Specific heat

 % 
k_1 =  2.5e10;			 %  Reaction rate constant
q_1 =  1e4;			 %  Exotherm constant
h_1 =  1e4;			 %  Heat of reaction

 % 
k_2 =  2.65e12;			 %  Reaction rate constant
q_2 =  1.2e4;			 %  Exotherm constant
h_2 =  1.2e4;			 %  Heat of reaction

 % 
k_3 =  6e7;			 %  Reaction rate constant
q_3 =  8e3;			 %  Exotherm constant
h_3 =  3e4;			 %  Heat of reaction

 % 
c_0 =  10;			 %  Inflow conc
t_0 =  500;			 %  Inflow temp

 % 
t_s =  530;			 %  Steady-state temp
f_s =  100;			 %  Steady-state flow








## Set up the parameter vector
  mttpar(1) 	= a;
  mttpar(2) 	= b;
  mttpar(3) 	= c;
  mttpar(4) 	= c_0;
  mttpar(5) 	= c_a;
  mttpar(6) 	= c_b;
  mttpar(7) 	= c_p;
  mttpar(8) 	= e_1;
  mttpar(9) 	= e_2;
  mttpar(10) 	= e_3;
  mttpar(11) 	= f_s;
  mttpar(12) 	= h;
  mttpar(13) 	= h_1;
  mttpar(14) 	= h_2;
  mttpar(15) 	= h_3;
  mttpar(16) 	= k;
  mttpar(17) 	= k_1;
  mttpar(18) 	= k_2;
  mttpar(19) 	= k_3;
  mttpar(20) 	= n;
  mttpar(21) 	= q;
  mttpar(22) 	= q_1;
  mttpar(23) 	= q_2;
  mttpar(24) 	= q_3;
  mttpar(25) 	= q_s;
  mttpar(26) 	= rho;
  mttpar(27) 	= t_0;
  mttpar(28) 	= t_s;
  mttpar(29) 	= v_r;
  mttpar(30) 	= x1;
  mttpar(31) 	= x2;
  mttpar(32) 	= x3;








Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_numpar.txt version [28d37b19ef].



















































































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# -*-octave-*- Put Emacs into octave-mode
# Numerical parameter file (ReactorTF_numpar.txt)
# Generated by MTT at Fri Mar  3 09:22:56 GMT 2000

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

## Dummies
a = 0;				# Dummy
b = 0;				# Dummy
c = 0;				# Dummy
c_0 = 0;			# Dummy
c_a = 0;			# Dummy
c_b = 0;			# Dummy
c_p = 0;			# Dummy
e_1 = 0;			# Dummy
e_2 = 0;			# Dummy
e_3 = 0;			# Dummy
f_s = 0;			# Dummy
h = 0;				# Dummy
h_1 = 0;			# Dummy
h_2 = 0;			# Dummy
h_3 = 0;			# Dummy
k = 0;				# Dummy
k_1 = 0;			# Dummy
k_2 = 0;			# Dummy
k_3 = 0;			# Dummy
n = 0;				# Dummy
q = 0;				# Dummy
q_1 = 0;			# Dummy
q_2 = 0;			# Dummy
q_3 = 0;			# Dummy
q_s = 0;			# Dummy
rho = 0;			# Dummy
t_0 = 0;			# Dummy
t_s = 0;			# Dummy
v_r = 0;			# Dummy
x1 = 0;				# Dummy
x2 = 0;				# Dummy
x3 = 0;				# Dummy

## The bulk liquid
rho = 900;			# Density
c_p = 5.0;			# Specific heat

## Substance A
k_1 = 2.5e10;			# Reaction rate constant
q_1 = 1e4;			# Exotherm constant
h_1 = 1e4;			# Heat of reaction

## Substance B
k_2 = 2.65e12;			# Reaction rate constant
q_2 = 1.2e4;			# Exotherm constant
h_2 = 1.2e4;			# Heat of reaction

## Substance C
k_3 = 6e7;			# Reaction rate constant
q_3 = 8e3;			# Exotherm constant
h_3 = 3e4;			# Heat of reaction

## Inflow parameters
c_0 = 10;			# Inflow conc
t_0 = 500;			# Inflow temp

## Steady-state values
t_s = 530;			# Steady-state temp
f_s = 100;			# Steady-state flow
















Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_pic.fig version [c396b14562].
























































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#FIG 3.2
Landscape
Center
Inches
Letter  
100.00
Single
-2
1200 2
6 2400 3150 3225 3375
2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 2625 3300 2925 3300
4 0 -1 0 0 2 20 0.0000 4 210 210 2400 3375 A\001
4 0 -1 0 0 2 20 0.0000 4 210 225 3000 3375 D\001
-6
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 2100 2100 2100 3900 1500 3900
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 1500 4050 3900 4050
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 2.00 120.00 240.00
	 1500 4350 2100 4350
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 3
	 3600 2100 3600 3900 4200 3900
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 2.00 120.00 240.00
	 3600 4350 4200 4350
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 0 0 2
	 3900 4050 4200 4050
2 1 1 2 -1 -1 0 0 -1 6.000 0 0 -1 0 0 2
	 2100 2400 3600 2400
2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 2400 2925 2700 2925
2 1 0 1 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 1.00 60.00 120.00
	 3000 2925 3300 2925
2 1 0 2 -1 -1 0 0 -1 0.000 0 0 -1 1 0 2
	0 0 2.00 120.00 240.00
	 2850 4800 2850 3750
4 0 -1 0 0 2 20 0.0000 4 210 210 2175 3000 A\001
4 0 -1 0 0 2 20 0.0000 4 210 195 2775 3000 B\001
4 0 -1 0 0 2 20 0.0000 4 210 210 3375 3000 C\001
4 0 -1 0 0 2 20 0.0000 4 210 150 2250 3375 2\001
4 0 -1 0 0 3 12 0.0000 4 135 90 1875 4950 0\001
4 0 -1 0 0 3 12 0.0000 4 135 90 2250 4950 0\001
4 0 -1 0 0 3 20 0.0000 4 210 150 2775 5025 q\001
4 0 -1 0 0 3 20 0.0000 4 285 765 1500 4800 f , c  , t\001
4 0 -1 0 0 3 20 0.0000 4 285 765 3600 4800 f , c  , t\001
4 0 -1 0 0 3 12 0.0000 4 135 90 3975 4950 b\001
4 0 -1 0 0 3 12 0.0000 4 90 75 4350 4950 r\001








Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_rep.tex version [c4b39857a2].




























































































































































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\section{\textbf{ReactorTF}: representation \textbf{abg}, language \textbf{tex}}
\label{sec:ReactorTF_abg.tex}
\index{\textbf{ReactorTF} -- abg}


MTT command:
\begin{verbatim}
mtt ReactorTF abg tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_abg.tex}


\section{\textbf{ReactorTF}: representation \textbf{cbg}, language \textbf{ps}}
\label{sec:ReactorTF_cbg.ps}
\index{\textbf{ReactorTF} -- cbg}


MTT command:
\begin{verbatim}
mtt ReactorTF cbg ps 
\end{verbatim}
This representation is given as Figure \Ref{fig:ReactorTF_cbg.ps}.
\fig{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_cbg}
    {ReactorTF_cbg.ps}
    {0.9}
    {System \textbf{ReactorTF}, representation cbg}


\section{\textbf{ReactorTF}: representation \textbf{struc}, language \textbf{tex}}
\label{sec:ReactorTF_struc.tex}
\index{\textbf{ReactorTF} -- struc}


MTT command:
\begin{verbatim}
mtt ReactorTF struc tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_struc.tex}


\section{\textbf{ReactorTF}: representation \textbf{ode}, language \textbf{tex}}
\label{sec:ReactorTF_ode.tex}
\index{\textbf{ReactorTF} -- ode}


MTT command:
\begin{verbatim}
mtt ReactorTF ode tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_ode.tex}


\section{\textbf{ReactorTF}: representation \textbf{sspar}, language \textbf{tex}}
\label{sec:ReactorTF_sspar.tex}
\index{\textbf{ReactorTF} -- sspar}


MTT command:
\begin{verbatim}
mtt ReactorTF sspar tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_sspar.tex}


\section{\textbf{ReactorTF}: representation \textbf{ss}, language \textbf{tex}}
\label{sec:ReactorTF_ss.tex}
\index{\textbf{ReactorTF} -- ss}


MTT command:
\begin{verbatim}
mtt ReactorTF ss tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_ss.tex}


\section{\textbf{ReactorTF}: representation \textbf{sm}, language \textbf{tex}}
\label{sec:ReactorTF_sm.tex}
\index{\textbf{ReactorTF} -- sm}


MTT command:
\begin{verbatim}
mtt ReactorTF sm tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_sm.tex}


\section{\textbf{ReactorTF}: representation \textbf{simpar}, language \textbf{tex}}
\label{sec:ReactorTF_simpar.tex}
\index{\textbf{ReactorTF} -- simpar}


MTT command:
\begin{verbatim}
mtt ReactorTF simpar tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_simpar.tex}


\section{\textbf{ReactorTF}: representation \textbf{numpar}, language \textbf{tex}}
\label{sec:ReactorTF_numpar.tex}
\index{\textbf{ReactorTF} -- numpar}


MTT command:
\begin{verbatim}
mtt ReactorTF numpar tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_numpar.tex}


\section{\textbf{ReactorTF}: representation \textbf{input}, language \textbf{tex}}
\label{sec:ReactorTF_input.tex}
\index{\textbf{ReactorTF} -- input}


MTT command:
\begin{verbatim}
mtt ReactorTF input tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_input.tex}


\section{\textbf{ReactorTF}: representation \textbf{state}, language \textbf{tex}}
\label{sec:ReactorTF_state.tex}
\index{\textbf{ReactorTF} -- state}


MTT command:
\begin{verbatim}
mtt ReactorTF state tex 
\end{verbatim}
  \input{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_state.tex}


\section{\textbf{ReactorTF}: representation \textbf{odeso}, language \textbf{ps}}
\label{sec:ReactorTF_odeso.ps}
\index{\textbf{ReactorTF} -- odeso}


MTT command:
\begin{verbatim}
mtt ReactorTF odeso ps 
\end{verbatim}
This representation is given as Figure \Ref{fig:ReactorTF_odeso.ps}.
\fig{/home/peterg/JUNK/Reactor/ReactorTF/MTT_work/ReactorTF_odeso}
    {ReactorTF_odeso.ps}
    {0.9}
    {System \textbf{ReactorTF}, representation odeso}








Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_rep.txt version [e0ee6f308d].

































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## -*-octave-*- Put Emacs into octave-mode
## Outline report file for system ReactorTF (ReactorTF_rep.txt)
## Generated by MTT on" Fri Mar  3 12:13:34 GMT 2000.

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################

mtt ReactorTF abg tex			# The system description
mtt ReactorTF cbg ps 		        # The causal bond graph
## Uncomment the following lines or add others
mtt ReactorTF struc tex	        # The system structure
## mtt ReactorTF dae tex	        # The system dae
mtt ReactorTF ode tex	        # The system ode 
mtt ReactorTF sspar tex		# Steady-state parameters
mtt ReactorTF ss tex 		# Steady state
## mtt ReactorTF dm tex		# Descriptor matrices (of linearised system)
mtt ReactorTF sm tex		# State matrices (of linearised system)
## mtt ReactorTF tf tex		# Transfer function (of linearised system)
## mtt ReactorTF lmfr ps		# log modulus of frequency response (of linearised system)
mtt ReactorTF simpar tex		# Simulation parameters
mtt ReactorTF numpar tex		# Numerical simulation parameters
mtt ReactorTF input tex		# Simulation input
mtt ReactorTF state tex		# Simulation initial state
mtt -c ReactorTF odeso ps









Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_simp.r version [c0625028b5].

























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%% Reduce comands to simplify output (mimo_sim.r)
m_r   := rho*v_r;
%mttx1 := c_a*v_r;
%mttx2 := c_b*v_r;

% THIS MUST BE CHANGED - probs with cp and FMRs
%c_p := 1;

%let mttx3/c_p = t;

let  e^(q_1/(mttx3/c_p)) = 1/epsilon_1;
let  e^(q_2/(mttx3/c_p)) = 1/epsilon_2;
let  e^(q_3/(mttx3/c_p)) = 1/epsilon_3;

let  e^(q_1/t_s) = 1/epsilon_1;
let  e^(q_2/t_s) = 1/epsilon_2;
let  e^(q_3/t_s) = 1/epsilon_3;

FACTOR mttx1,mttx2;

END;








Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_simpar.txt version [a9ebdd151e].






















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# -*-octave-*- Put Emacs into octave-mode
# Simulation parameters for system ReactorTF (ReactorTF_simpar.txt)
# Generated by MTT on Fri Mar 3 12:11:48 GMT 2000.
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################


LAST        = 0.05;       # Last time in simulation
DT          = 0.0002;        # Print interval
STEPFACTOR  = 1;          # Integration steps per print interval
WMIN        = -1;         # Minimum frequency = 10^WMIN
WMAX        = 2;          # Maximum frequency = 10^WMAX
WSTEPS      = 100;        # Number of frequency steps
INPUT       = 1;          # Index of the input








Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_sm.m version [8997bae617].





























































































































































































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function [mtta,mttb,mttc,mttd] = ReactorTF_sm(mttpar);
% [mtta,mttb,mttc,mttd] = ReactorTF_sm(mttpar);
%System ReactorTF, representation sm, language m;
%File ReactorTF_sm.m;
%Generated by MTT on Thu Aug 24 14:45:50 BST 2000;
%
%====== Set up the global variables ======%
global ...
a ...
b ...
c ...
c_0 ...
c_a ...
c_b ...
c_p ...
e_1 ...
e_2 ...
e_3 ...
f_s ...
h ...
h_1 ...
h_2 ...
h_3 ...
k ...
k_1 ...
k_2 ...
k_3 ...
n ...
q ...
q_1 ...
q_2 ...
q_3 ...
q_s ...
rho ...
t_0 ...
t_s ...
v_r ...
x1 ...
x2 ...
x3 ;
a 	= mttpar(1);
b 	= mttpar(2);
c 	= mttpar(3);
c_0 	= mttpar(4);
c_a 	= mttpar(5);
c_b 	= mttpar(6);
c_p 	= mttpar(7);
e_1 	= mttpar(8);
e_2 	= mttpar(9);
e_3 	= mttpar(10);
f_s 	= mttpar(11);
h 	= mttpar(12);
h_1 	= mttpar(13);
h_2 	= mttpar(14);
h_3 	= mttpar(15);
k 	= mttpar(16);
k_1 	= mttpar(17);
k_2 	= mttpar(18);
k_3 	= mttpar(19);
n 	= mttpar(20);
q 	= mttpar(21);
q_1 	= mttpar(22);
q_2 	= mttpar(23);
q_3 	= mttpar(24);
q_s 	= mttpar(25);
rho 	= mttpar(26);
t_0 	= mttpar(27);
t_s 	= mttpar(28);
v_r 	= mttpar(29);
x1 	= mttpar(30);
x2 	= mttpar(31);
x3 	= mttpar(32);
%a matrix%
mtta = zeros(2,2);
mtt_t1 = exp((2.0*q_1+q_3)/t_s)*abs(exp(q_1/t_s))^2*f_s^2*h_3;
mtt_t1 = mtt_t1+2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))^2*c_0*f_s*h_3*k_3;
mtt_t1 = mtt_t1-(exp((q_1+q_3)/t_s)*abs(exp(q_1/t_s))^2*f_s*h_1*k_1);
mtt_t1 = mtt_t1+2.0*exp((q_1+q_3)/t_s)*abs(exp(q_1/t_s))^2*f_s*h_3*k_1;
mtt_t1 = mtt_t1-(2.0*exp(q_1/t_s)*abs(exp(q_1/t_s))^2*c_0*h_1*k_1*k_3);
mtt_t1 = mtt_t1+2.0*exp(q_1/t_s)*abs(exp(q_1/t_s))^2*c_0*h_3*k_1*k_3;
mtt_t1 = mtt_t1-(exp(q_3/t_s)*abs(exp(q_1/t_s))^2*h_1*k_1^2);
mtt_t1 = mtt_t1+exp(q_3/t_s)*abs(exp(q_1/t_s))^2*h_3*k_1^2;
mtt_t3 = 2.0*exp((2.0*q_1+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t3 = mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t4 = 2.0*exp((2.0*q_1)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t4 = mtt_t4*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1-(mtt_t3*abs(exp(q_1/t_s))*f_s*h_3)-(mtt_t4*abs(exp(q_1/t_s))*c_0*h_3*k_3);
mtt_t5 = 2.0*exp((2.0*q_1)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t5 = mtt_t5*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t3 = 2.0*exp((2.0*q_1)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t3 = mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1-(mtt_t5*abs(exp(q_1/t_s))*c_p*k_3*t_0)+mtt_t3*abs(exp(q_1/t_s))*c_p*k_3*t_s;
mtt_t4 = exp((q_1+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t4 = mtt_t4*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t3 = 2.0*exp((q_1+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t3 = mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1+mtt_t4*abs(exp(q_1/t_s))*h_1*k_1-(mtt_t3*abs(exp(q_1/t_s))*h_3*k_1);
mtt_t1 = mtt_t1+exp((4.0*q_1+q_3)/t_s)*f_s^2*h_3;
mtt_t1 = mtt_t1+4.0*exp((4.0*q_1)/t_s)*c_0*f_s*h_3*k_3;
mtt_t1 = mtt_t1+2.0*exp((3.0*q_1+q_3)/t_s)*f_s*h_3*k_1;
mtt_t1 = mtt_t1+exp((2.0*q_1+q_3)/t_s)*h_3*k_1^2;
mtt_t2 = 2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))^2*c_p*k_3*t_0;
mtta(1,1) = mtt_t1/(mtt_t2-(2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))^2*c_p*k_3*t_s));
mtt_t1 = -(exp((q_1+q_3)/t_s)*abs(exp(q_1/t_s))*f_s*h_2*k_2);
mtt_t1 = mtt_t1-(2.0*exp(q_1/t_s)*abs(exp(q_1/t_s))*c_0*h_2*k_2*k_3);
mtt_t3 = exp((q_1+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t3 = mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1-(exp(q_3/t_s)*abs(exp(q_1/t_s))*h_2*k_1*k_2)+mtt_t3*h_2*k_2;
mtt_t2 = 2.0*exp((q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*k_3*t_0;
mtta(1,2) = mtt_t1/(mtt_t2-(2.0*exp((q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*k_3*t_s));
mtt_t1 = exp((2.0*q_1+q_2+q_3)/t_s)*abs(exp(q_1/t_s))^2*f_s^2*h_3*k_1;
mtt_t1 = mtt_t1+2.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))^2*c_p*f_s*k_1*k_3*t_0;
mtt_t1 = mtt_t1-(2.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))^2*c_p*f_s*k_1*k_3*t_s);
mtt_t1 = mtt_t1+2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))^2*c_p*k_1*k_2*k_3*t_0;
mtt_t1 = mtt_t1-(2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))^2*c_p*k_1*k_2*k_3*t_s);
mtt_t1 = mtt_t1-(exp((q_1+q_2+q_3)/t_s)*abs(exp(q_1/t_s))^2*f_s*h_1*k_1^2);
mtt_t1 = mtt_t1+2.0*exp((q_1+q_2+q_3)/t_s)*abs(exp(q_1/t_s))^2*f_s*h_3*k_1^2;
mtt_t1 = mtt_t1-(exp((q_2+q_3)/t_s)*abs(exp(q_1/t_s))^2*h_1*k_1^3);
mtt_t1 = mtt_t1+exp((q_2+q_3)/t_s)*abs(exp(q_1/t_s))^2*h_3*k_1^3;
mtt_t3 = 2.0*exp((2.0*q_1+q_2+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t3 = mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t4 = exp((q_1+q_2+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t4 = mtt_t4*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1-(mtt_t3*abs(exp(q_1/t_s))*f_s*h_3*k_1)+mtt_t4*abs(exp(q_1/t_s))*h_1*k_1^2;
mtt_t5 = 2.0*exp((q_1+q_2+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t5 = mtt_t5*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1-(mtt_t5*abs(exp(q_1/t_s))*h_3*k_1^2);
mtt_t1 = mtt_t1+exp((4.0*q_1+q_2+q_3)/t_s)*f_s^2*h_3*k_1;
mtt_t1 = mtt_t1+4.0*exp((4.0*q_1+q_2)/t_s)*c_0*f_s*h_3*k_1*k_3;
mtt_t1 = mtt_t1+2.0*exp((3.0*q_1+q_2+q_3)/t_s)*f_s*h_3*k_1^2;
mtt_t1 = mtt_t1+exp((2.0*q_1+q_2+q_3)/t_s)*h_3*k_1^3;
mtt_t2 = 2.0*exp((3.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))^2*c_p*f_s*k_3*t_0;
mtt_t2 = mtt_t2-(2.0*exp((3.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))^2*c_p*f_s*k_3*t_s);
mtt_t2 = mtt_t2+2.0*exp((3.0*q_1)/t_s)*abs(exp(q_1/t_s))^2*c_p*k_2*k_3*t_0;
mtta(2,1) = mtt_t1/(mtt_t2-(2.0*exp((3.0*q_1)/t_s)*abs(exp(q_1/t_s))^2*c_p*k_2*k_3*t_s));
mtt_t1 = -(2.0*exp((2.0*q_1+2.0*q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s^2*k_3*t_0);
mtt_t1 = mtt_t1+2.0*exp((2.0*q_1+2.0*q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s^2*k_3*t_s;
mtt_t1 = mtt_t1-(4.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s*k_2*k_3*t_0);
mtt_t1 = mtt_t1+4.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s*k_2*k_3*t_s;
mtt_t1 = mtt_t1-(2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))*c_p*k_2^2*k_3*t_0);
mtt_t1 = mtt_t1+2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))*c_p*k_2^2*k_3*t_s;
mtt_t1 = mtt_t1-(exp((q_1+q_2+q_3)/t_s)*abs(exp(q_1/t_s))*f_s*h_2*k_1*k_2);
mtt_t1 = mtt_t1-(exp((q_2+q_3)/t_s)*abs(exp(q_1/t_s))*h_2*k_1^2*k_2);
mtt_t3 = exp((q_1+q_2+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t3 = mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1+mtt_t3*h_2*k_1*k_2;
mtt_t2 = 2.0*exp((2.0*q_1+2.0*q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s*k_3*t_0;
mtt_t2 = mtt_t2-(2.0*exp((2.0*q_1+2.0*q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s*k_3*t_s);
mtt_t2 = mtt_t2+2.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*k_2*k_3*t_0;
mtta(2,2) = mtt_t1/(mtt_t2-(2.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*k_2*k_3*t_s));
%b matrix%
mttb = zeros(2,1);
mtt_t1 = -(exp((q_1+q_3)/t_s)*abs(exp(q_1/t_s))*f_s);
mtt_t1 = mtt_t1-(2.0*exp(q_1/t_s)*abs(exp(q_1/t_s))*c_0*k_3);
mtt_t1 = mtt_t1-(exp(q_3/t_s)*abs(exp(q_1/t_s))*k_1);
mtt_t3 = exp((q_1+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t1 = mtt_t1+mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t4 = 2.0*exp(q_1/t_s)*abs(exp(q_1/t_s))*c_p*k_3*t_0;
mttb(1) = mtt_t1/(mtt_t4-(2.0*exp(q_1/t_s)*abs(exp(q_1/t_s))*c_p*k_3*t_s));
mtt_t1 = -(exp((q_1+q_2+q_3)/t_s)*abs(exp(q_1/t_s))*f_s*k_1);
mtt_t3 = exp((q_1+q_2+q_3)/t_s);
mtt_t2 = exp((2.0*q_1+q_3)/t_s)*f_s^2+4.0*exp((2.0*q_1)/t_s)*c_0*f_s*k_3;
mtt_t3 = mtt_t3*sqrt((mtt_t2+2.0*exp((q_1+q_3)/t_s)*f_s*k_1+exp(q_3/t_s)*k_1^2)/exp(q_3/t_s));
mtt_t1 = mtt_t1-(exp((q_2+q_3)/t_s)*abs(exp(q_1/t_s))*k_1^2)+mtt_t3*k_1;
mtt_t2 = 2.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s*k_3*t_0;
mtt_t2 = mtt_t2-(2.0*exp((2.0*q_1+q_2)/t_s)*abs(exp(q_1/t_s))*c_p*f_s*k_3*t_s);
mtt_t2 = mtt_t2+2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))*c_p*k_2*k_3*t_0;
mttb(2) = mtt_t1/(mtt_t2-(2.0*exp((2.0*q_1)/t_s)*abs(exp(q_1/t_s))*c_p*k_2*k_3*t_s));
%c matrix%
mttc = zeros(1,2);
mttc(1,2) = 1.0;
%d matrix%
mttd = zeros(1,1);








Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_sspar.r version [5ae7de35e5].



























































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%% Reduce steady-state parameter file (ReactorTF_sspar.r)
%% as siso_sspar ecxept that inputs/states have different meaning
%% Steady state for constant c_a, c_b and t=t_s and f=f_s

%% Unit volume ReactorTF:
v_r := 1;

%% Do the inputs first -- this avoids problems with reduce not
%% recognising that complicated expressions are zero

%% The exponentials.
e_1 := e^(-q_1/t_s);
e_2 := e^(-q_2/t_s);
e_3 := e^(-q_3/t_s);

%Steady-state input q needed to achieve steady-state t_s
q_s := -( 
        + (t_0-t_s)*c_p*f_s
        + e_1*h_1*k_1*x1
        + e_2*h_2*k_2*x2
        + e_3*h_3*k_3*x1^2
       );

%% The input at steady-state
MTTu1 := q_s;

%States (masses)
x1 := c_a*v_r;
x2 := c_b*v_r;

%Thermal state
x3 := c_p*t_s*v_r;

%Load up the vectors
MTTx1 := x1;
MTTx2 := x2;

MTTy1 := c_b;
%MTTy2 := t_s;

%% Finally, solve for the steady-state concentrations
%% Solve for ca - a quadratic.
a 	:= k_3*e_3;	%ca^2 
b 	:= k_1*e_1 + f_s;	%ca^1 
c 	:= -c_0*f_s;

c_a	:= (-b + sqrt(b^2 - 4*a*c))/(2*a);

%% solve for c_b
c_b 	:= c_a*k_1*e_1/(f_s+k_2*e_2);


END;










Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_state.txt version [c612c2654e].






















































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# -*-octave-*- Put Emacs into octave-mode
# State specification (ReactorTF_state.txt)
# Generated by MTT at Fri Mar  3 11:52:23 GMT 2000
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################

## Reduce steady-state parameter file (ReactorTF_sspar.r)
## as siso_sspar ecxept that states/states have different meaning
## Steady state for constant c_a, c_b and t=t_s and f=f_s

## Unit volume ReactorTF:
v_r = 1;


## The exponentials.
e_1 = exp(-q_1/t_s);
e_2 = exp(-q_2/t_s);
e_3 = exp(-q_3/t_s);

## Solve for the steady-state concentrations
## Solve for ca - a quadratic.
a 	= k_3*e_3;	#ca^2 
b 	= k_1*e_1 + f_s;	#ca^1 
c 	= -c_0*f_s;

c_a	= (-b + sqrt(b^2 - 4*a*c))/(2*a);

## solve for c_b
c_b 	= c_a*k_1*e_1/(f_s+k_2*e_2);


#States (masses)
x1 = c_a*v_r;
x2 = c_b*v_r;

#Thermal state
#x3 = c_p*t_s*v_r;

## Load up the states
mttx(1) = x1;
mttx(2) = x2;
mttx(3) = x3;












Added mttroot/mtt/lib/examples/Chemical/ReactorTF/ReactorTF_sympar.m version [971206bf83].












































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function sympar = ReactorTF_sympar();
% sympar = ReactorTF_sympar();
%System ReactorTF, representation sympar, language m;
%File ReactorTF_sympar.m;
%Generated by MTT on Thu Aug 24 14:45:51 BST 2000;
%
global ...
mtt_no_globals ;
  sympar.a 	= 1; # ReactorTF
  sympar.b 	= 2; # ReactorTF
  sympar.c 	= 3; # ReactorTF
  sympar.c_0 	= 4; # ReactorTF
  sympar.c_A 	= 5; # ReactorTF
  sympar.c_B 	= 6; # ReactorTF
  sympar.c_p 	= 7; # ReactorTF
  sympar.e_1 	= 8; # ReactorTF
  sympar.e_2 	= 9; # ReactorTF
  sympar.e_3 	= 10; # ReactorTF
  sympar.f_s 	= 11; # ReactorTF
  sympar.h 	= 12; # Rate
  sympar.h_1 	= 13; # ReactorTF
  sympar.h_2 	= 14; # ReactorTF
  sympar.h_3 	= 15; # ReactorTF
  sympar.k 	= 16; # Rate
  sympar.k_1 	= 17; # ReactorTF
  sympar.k_2 	= 18; # ReactorTF
  sympar.k_3 	= 19; # ReactorTF
  sympar.n 	= 20; # Rate
  sympar.q 	= 21; # Rate
  sympar.q_1 	= 22; # ReactorTF
  sympar.q_2 	= 23; # ReactorTF
  sympar.q_3 	= 24; # ReactorTF
  sympar.q_S 	= 25; # ReactorTF
  sympar.rho 	= 26; # ReactorTF
  sympar.t_0 	= 27; # ReactorTF
  sympar.t_s 	= 28; # ReactorTF
  sympar.v_r 	= 29; # ReactorTF
  sympar.x1 	= 30; # ReactorTF
  sympar.x2 	= 31; # ReactorTF
  sympar.x3 	= 32; # ReactorTF






















MTT: Model Transformation Tools
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