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