Difference between revisions of "Batch reactor (JuMP)"
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Model file ("batchreactor_mod.jl"): | Model file ("batchreactor_mod.jl"): | ||
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#JuMP implementation of batch reactor example using collocation | #JuMP implementation of batch reactor example using collocation | ||
#mod file | #mod file | ||
Revision as of 19:54, 12 January 2016
This is an implementation of the batch reactor problem using JuMP. The problem was discretized and the ODEs are solved using the explicit Euler method. Although not necessary in JuMP the code was divided into three parts (following AMPL) - model file, data file and run file. The run file calls the other files and performs additional tasks such as printing results.
Model file ("batchreactor_mod.jl"):
#JuMP implementation of batch reactor example using collocation #mod file #declaring the model m = Model() #defining variables @defVar(m, x[ii=1:n_x, tt=1:N]) @defVar(m, L_control <= u[jj = 1:n_u, tt=1:N] <= U_control) #setting objective function @setObjective(m, Max, x[2,N]) #adding constraints #starting values @addConstraint(m, starting_value[ii=1:n_x], x[ii,1] == x_start[ii]) #ODE - solved with explicit euler method (i.e. x_k+1 = x_k + stepsize * f(x_k, t_k)) @defNLExpr(k_1[tt=1:N-1], 4000 * exp(-2500/u[1,tt])) @defNLExpr(k_2[tt=1:N-1], 620000 * exp(-5000/u[1,tt])) @addNLConstraint(m, ODE_nonlin[ii=1, tt=1:N-1], x[ii,tt+1] - x[ii,tt] - step_size * (-k_1[tt] * x[1,tt]^2) == 0) @addNLConstraint(m, ODE_nonlin[ii=2, tt=1:N-1], x[ii,tt+1] - x[ii,tt] - step_size * (k_1[tt] * x[1,tt]^2 - k_2[tt] * x[2,tt]) == 0)
Data file ("batchreactor_dat.jl"):
Invalid language.
You need to specify a language like this: <source lang="html4strict">...</source>
Supported languages for syntax highlighting:
4cs, 6502acme, 6502kickass, 6502tasm, 68000devpac, abap, actionscript, actionscript3, ada, aimms, algol68, ampl, apache, applescript, arm, asm, asp, asymptote, autoconf, autohotkey, autoit, avisynth, awk, bascomavr, bash, basic4gl, bf, bibtex, blitzbasic, bnf, boo, c, caddcl, cadlisp, cfdg, cfm, chaiscript, chapel, cil, clojure, cmake, cobol, coffeescript, cpp, csharp, css, cuesheet, d, dart, dcl, dcpu16, dcs, delphi, diff, div, dos, dot, e, ecmascript, eiffel, email, epc, erlang, euphoria, ezt, f1, falcon, fo, fortran, freebasic, freeswitch, fsharp, gambas, gdb, genero, genie, gettext, glsl, gml, gnuplot, go, groovy, gwbasic, haskell, haxe, hicest, hq9plus, html4strict, html5, icon, idl, ini, inno, intercal, io, ispfpanel, j, java, java5, javascript, jcl, jquery, kixtart, klonec, klonecpp, latex, lb, ldif, lisp, llvm, locobasic, logtalk, lolcode, lotusformulas, lotusscript, lscript, lsl2, lua, m68k, magiksf, make, mapbasic, matlab, mirc, mmix, modula2, modula3, mpasm, mxml, mysql, nagios, netrexx, newlisp, nginx, nimrod, nsis, oberon2, objc, objeck, ocaml, octave, oobas, oorexx, optimica, oracle11, oracle8, oxygene, oz, parasail, parigp, pascal, pcre, per, perl, perl6, pf, php, pic16, pike, pixelbender, pli, plsql, postgresql, postscript, povray, powerbuilder, powershell, proftpd, progress, prolog, properties, providex, purebasic, pycon, pys60, python, q, qbasic, qml, racket, rails, rbs, rebol, reg, rexx, robots, rpmspec, rsplus, ruby, rust, sas, scala, scheme, scilab, scl, sdlbasic, smalltalk, smarty, spark, sparql, sql, standardml, stonescript, systemverilog, tcl, teraterm, text, thinbasic, tsql, typoscript, unicon, upc, urbi, uscript, vala, vb, vbnet, vbscript, vedit, verilog, vhdl, vim, visualfoxpro, visualprolog, whitespace, whois, winbatch, xbasic, xml, xpp, yaml, z80, zxbasic
#JuMP implementation of batch reactor example using collocation #dat file #number of states n_x = 2; #number of controls n_u = 1; ##discretization #number of shooting intervals / discretization points N = 300; #starting / end time t_start = 0; t_end = 1; #time discretization step_size = (t_end - t_start)/N; #starting value x_start = [1, 0]; #bounds for control L_control = 298; U_control = 398;
Run file ("batchreactor_run.jl"):
Invalid language.
You need to specify a language like this: <source lang="html4strict">...</source>
Supported languages for syntax highlighting:
4cs, 6502acme, 6502kickass, 6502tasm, 68000devpac, abap, actionscript, actionscript3, ada, aimms, algol68, ampl, apache, applescript, arm, asm, asp, asymptote, autoconf, autohotkey, autoit, avisynth, awk, bascomavr, bash, basic4gl, bf, bibtex, blitzbasic, bnf, boo, c, caddcl, cadlisp, cfdg, cfm, chaiscript, chapel, cil, clojure, cmake, cobol, coffeescript, cpp, csharp, css, cuesheet, d, dart, dcl, dcpu16, dcs, delphi, diff, div, dos, dot, e, ecmascript, eiffel, email, epc, erlang, euphoria, ezt, f1, falcon, fo, fortran, freebasic, freeswitch, fsharp, gambas, gdb, genero, genie, gettext, glsl, gml, gnuplot, go, groovy, gwbasic, haskell, haxe, hicest, hq9plus, html4strict, html5, icon, idl, ini, inno, intercal, io, ispfpanel, j, java, java5, javascript, jcl, jquery, kixtart, klonec, klonecpp, latex, lb, ldif, lisp, llvm, locobasic, logtalk, lolcode, lotusformulas, lotusscript, lscript, lsl2, lua, m68k, magiksf, make, mapbasic, matlab, mirc, mmix, modula2, modula3, mpasm, mxml, mysql, nagios, netrexx, newlisp, nginx, nimrod, nsis, oberon2, objc, objeck, ocaml, octave, oobas, oorexx, optimica, oracle11, oracle8, oxygene, oz, parasail, parigp, pascal, pcre, per, perl, perl6, pf, php, pic16, pike, pixelbender, pli, plsql, postgresql, postscript, povray, powerbuilder, powershell, proftpd, progress, prolog, properties, providex, purebasic, pycon, pys60, python, q, qbasic, qml, racket, rails, rbs, rebol, reg, rexx, robots, rpmspec, rsplus, ruby, rust, sas, scala, scheme, scilab, scl, sdlbasic, smalltalk, smarty, spark, sparql, sql, standardml, stonescript, systemverilog, tcl, teraterm, text, thinbasic, tsql, typoscript, unicon, upc, urbi, uscript, vala, vb, vbnet, vbscript, vedit, verilog, vhdl, vim, visualfoxpro, visualprolog, whitespace, whois, winbatch, xbasic, xml, xpp, yaml, z80, zxbasic
#JuMP implementation of batch reactor example using collocation
#run file
using JuMP;
using Ipopt;
println("----------------------------------------------------")
println("Time used for data")
@time include("batchreactor_dat.jl")
println("----------------------------------------------------")
println("Time used for modeling")
@time include("batchreactor_mod.jl")
println("----------------------------------------------------")
println("Time used for solving")
@time solve(m);
println("----------------------------------------------------")
println("----------------------------------------------------")
#printing results
println("Optimal objective value is: ", getObjectiveValue(m))
println("Optimal Solution is: \n", getValue(x), getValue(u))
