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


## 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)