1 | #*------------------------------------------------------------------- |
---|
2 | * EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC. |
---|
3 | * |
---|
4 | * This LIBRARY is free software; you can distribute it and/or modify |
---|
5 | * it under the therms of the ALSOC FREE LICENSE as available at |
---|
6 | * http://www.enq.ufrgs.br/alsoc. |
---|
7 | * |
---|
8 | * EMSO Copyright (C) 2004 - 2007 ALSOC, original code |
---|
9 | * from http://www.rps.eng.br Copyright (C) 2002-2004. |
---|
10 | * All rights reserved. |
---|
11 | * |
---|
12 | * EMSO is distributed under the therms of the ALSOC LICENSE as |
---|
13 | * available at http://www.enq.ufrgs.br/alsoc. |
---|
14 | * |
---|
15 | *-------------------------------------------------------------------- |
---|
16 | * Sample file for controllers |
---|
17 | *---------------------------------------------------------------------- |
---|
18 | * Author: |
---|
19 | * $Id: CSTR_noniso_pid.mso 190 2007-03-07 18:09:13Z rafael $ |
---|
20 | *--------------------------------------------------------------------*# |
---|
21 | |
---|
22 | using "controllers/PIDs"; |
---|
23 | |
---|
24 | const_valv as positive(Brief = "Valve Constant", Default=1,Lower=0,Upper=100, Unit='m^2.5/h'); |
---|
25 | |
---|
26 | Model corrente |
---|
27 | VARIABLES |
---|
28 | Ca as conc_mol; |
---|
29 | F as flow_vol; |
---|
30 | T as temperature; |
---|
31 | end |
---|
32 | |
---|
33 | Model CSTR |
---|
34 | |
---|
35 | PARAMETERS |
---|
36 | ko as frequency (DisplayUnit='1/h'); |
---|
37 | A as area; |
---|
38 | At as area; |
---|
39 | Ea as energy_mol (DisplayUnit='kJ/kmol'); |
---|
40 | R as Real (Unit='kJ/mol/K'); |
---|
41 | ro as dens_mol (DisplayUnit='kmol/m^3'); |
---|
42 | Cp as cp_mol (DisplayUnit='kJ/kmol/K'); |
---|
43 | U as heat_trans_coeff (DisplayUnit='kW/m^2/K'); |
---|
44 | Hr as heat_reaction (DisplayUnit='kJ/kmol'); |
---|
45 | |
---|
46 | VARIABLES |
---|
47 | Cv as const_valv; |
---|
48 | T as temperature; |
---|
49 | Tw as temperature; |
---|
50 | V as volume; |
---|
51 | Ca as conc_mol; |
---|
52 | h as length; |
---|
53 | tau as time_h; |
---|
54 | rA as reaction_mol; |
---|
55 | k as frequency (DisplayUnit='1/h'); |
---|
56 | in Inlet as corrente; |
---|
57 | out Outlet as corrente; |
---|
58 | |
---|
59 | EQUATIONS |
---|
60 | |
---|
61 | "Balanço de Massa Global" |
---|
62 | diff(V) = Inlet.F - Outlet.F; |
---|
63 | |
---|
64 | "Balanço de Massa por Componente" |
---|
65 | tau * diff(Ca) = (Inlet.Ca - Ca) - (-rA) * tau; |
---|
66 | |
---|
67 | "Mistura perfeita" |
---|
68 | Outlet.Ca = Ca; |
---|
69 | Outlet.T = T; |
---|
70 | |
---|
71 | "Taxa de reação" |
---|
72 | -rA = k * Ca; |
---|
73 | |
---|
74 | "Equação de Arrhenius" |
---|
75 | k = ko * exp(-Ea/(R*T)); |
---|
76 | |
---|
77 | "Tempo de residência médio" |
---|
78 | tau * Inlet.F = V; |
---|
79 | |
---|
80 | "Geometria" |
---|
81 | A * h = V; |
---|
82 | |
---|
83 | "Equação da válvula" |
---|
84 | Outlet.F = Cv * sqrt(h); |
---|
85 | |
---|
86 | "Balanço de energia" |
---|
87 | tau * diff(T) = (Inlet.T - T) - U*At*(T-Tw)/(ro*V*Cp)*tau + (-Hr)*(-rA)*tau/(ro*Cp); |
---|
88 | |
---|
89 | end |
---|
90 | |
---|
91 | # processo com 1 CSTR controlado |
---|
92 | FlowSheet CSTR_controller |
---|
93 | |
---|
94 | DEVICES |
---|
95 | FEED as corrente; |
---|
96 | CSTR1 as CSTR; |
---|
97 | PIDL as PID_Ideal_AWBT; |
---|
98 | PIDT as PID_Ideal_AWBT; |
---|
99 | |
---|
100 | VARIABLES |
---|
101 | L_ad as Real; |
---|
102 | Lmin as length; |
---|
103 | Lmax as length; |
---|
104 | T_ad as Real; |
---|
105 | Tmin as temperature; |
---|
106 | Tmax as temperature; |
---|
107 | |
---|
108 | CONNECTIONS |
---|
109 | FEED to CSTR1.Inlet; |
---|
110 | |
---|
111 | SET |
---|
112 | # Parâmetros do CSTR" |
---|
113 | CSTR1.R = 8.3144 * 'kJ/kmol/K'; |
---|
114 | CSTR1.U = 300 * 'kJ/h/m^2/K'; |
---|
115 | CSTR1.ro = 55.56 * 'kmol/m^3'; |
---|
116 | CSTR1.Cp = 70*'kJ/kmol/K'; |
---|
117 | CSTR1.Hr = -7000 * 'kJ/kmol'; |
---|
118 | CSTR1.Ea = 6e4 * 'kJ/kmol'; |
---|
119 | CSTR1.ko = 89 * '1/s'; |
---|
120 | CSTR1.A = 8 * 'm^2'; |
---|
121 | CSTR1.At = 25 * 'm^2'; |
---|
122 | |
---|
123 | EQUATIONS |
---|
124 | |
---|
125 | "Equações do PID para controle de nível" |
---|
126 | L_ad*(Lmax-Lmin)=CSTR1.h-Lmin; |
---|
127 | PIDL.Ports.input=L_ad; |
---|
128 | |
---|
129 | "Equações do PID para controle de temperatura" |
---|
130 | T_ad*(Tmax-Tmin)=CSTR1.T-Tmin; |
---|
131 | PIDT.Ports.input=T_ad; |
---|
132 | |
---|
133 | "Variáveis manipulada" |
---|
134 | CSTR1.Cv = 2.2136 * 'm^2.5/h' * (1 - PIDL.Ports.output); |
---|
135 | CSTR1.Tw = PIDT.Ports.output*(Tmax-Tmin)+Tmin; |
---|
136 | |
---|
137 | #distúrbio regulatório |
---|
138 | if time<1.6e5 then |
---|
139 | FEED.T = 300 * 'K'; |
---|
140 | else |
---|
141 | FEED.T = 285 * 'K'; |
---|
142 | end |
---|
143 | |
---|
144 | |
---|
145 | #Parâmetros do PID de nível |
---|
146 | PIDL.Parameters.bias=0; |
---|
147 | PIDL.Parameters.alpha=0.1; |
---|
148 | PIDL.Options.action=1; |
---|
149 | PIDL.Parameters.gamma=1; |
---|
150 | PIDL.Parameters.beta=1; |
---|
151 | PIDL.Options.clip=1; |
---|
152 | PIDL.Options.autoMan=0; |
---|
153 | PIDL.Parameters.gain=20; |
---|
154 | PIDL.Parameters.intTime=5*'h'; |
---|
155 | PIDL.Parameters.derivTime=0*'s'; |
---|
156 | PIDL.Ports.setPoint=0.55; |
---|
157 | PIDL.Parameters.tau=1*'s'; |
---|
158 | PIDL.Parameters.tauSet=1*'s'; |
---|
159 | |
---|
160 | PIDT.Parameters.bias = 0; |
---|
161 | PIDT.Parameters.alpha=0.1; |
---|
162 | PIDT.Options.action=1; |
---|
163 | PIDT.Parameters.gamma=1; |
---|
164 | PIDT.Parameters.beta=1; |
---|
165 | PIDT.Options.clip=1; |
---|
166 | PIDT.Options.autoMan=0; |
---|
167 | PIDT.Parameters.gain=40; |
---|
168 | PIDT.Parameters.intTime=5*'h'; |
---|
169 | PIDT.Parameters.derivTime=1*'h'; |
---|
170 | PIDT.Ports.setPoint=0.85; |
---|
171 | PIDT.Parameters.tau=1*'s'; |
---|
172 | PIDT.Parameters.tauSet=1*'s'; |
---|
173 | |
---|
174 | "Valores limites para normalizações" |
---|
175 | Lmax=5*'m'; |
---|
176 | Lmin=0*'m'; |
---|
177 | Tmax=700*'K'; |
---|
178 | Tmin=230*'K'; |
---|
179 | |
---|
180 | "Variáveís da corrente de alimentação" |
---|
181 | FEED.Ca = 300 * 'kmol/m^3'; |
---|
182 | FEED.F = 3.5 * 'm^3/h'; |
---|
183 | |
---|
184 | INITIAL |
---|
185 | CSTR1.Ca = 50 * 'kmol/m^3'; |
---|
186 | CSTR1.h = 2.5 * 'm'; |
---|
187 | CSTR1.T = 650 * 'K'; |
---|
188 | |
---|
189 | OPTIONS |
---|
190 | TimeStep = 0.1; |
---|
191 | TimeEnd = 100; |
---|
192 | TimeUnit = 'h'; |
---|
193 | end |
---|