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Nonlinear Systems of Equations


The solution of nonlinear systems of equations is an important problem in engineering. Applications include identifying the multiple steady states of a reactor network, predicting the azeotropes formed in a nonideal mixture, finding the steady-states of a flowsheet, and identifying equilibrium points in multiphase systems.

Section 1: Literature Problems

Test Problem
Description
AMPL File
AMPL File
1
Himmelblau function
HNE14.1.1.mod
 
2
Equilibrium Combustion
HNE14.1.2.mod
 
3
Bullard-Biegler (1991)
HNE14.1.3.mod
 
4
Ferraris-Tronconi (1986)
HNE14.1.4.mod
 
5
Brown's almost linear system
HNE14.1.5.mod
 
6
Robot kinematics problem
HNE14.1.6.mod
 
7
Circuit design problem
HNE14.1.7.mod
 
8
Steady state of a series of CSTRs with recycle
HNE14.1.8.mod
ex14.1.8.dat
9
Steady state temperatures of a nonisothermal CSTR
HNE14.1.9.mod
 

Section 2: Locating All Homogeneous Azeotropes

Test Problem
Description
AMPLModel File
AMPL Data File
1
Wilson equation - 3 component
ex14.2.1.mod
ex14.2.1.dat
2
Wilson equation - 4 component
ex14.2.2.mod
ex14.2.2.dat
3
Wilson equation - 5 component
ex14.2.3.mod
ex14.2.3.dat
4
NRTL equation - 3 component
ex14.2.4.mod
ex14.2.4.dat
5
NRTL equation - 4 component
ex14.2.5.mod
ex14.2.5.dat
6
UNIQUAC equation - 3 component
ex14.2.6.mod
ex14.2.6.dat
7
UNIQUAC equation - 4 component
ex14.2.7.mod
ex14.2.7.dat
8
UNIFAC equation - 3 component
ex14.2.8.mod
ex14.2.8.dat
9
UNIFAC equation - 4 component
ex14.2.9.mod
ex14.2.9.dat

 

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