P. Englezos et al., INTERACTION PARAMETER-ESTIMATION IN CUBIC EQUATIONS OF STATE USING BINARY PHASE-EQUILIBRIUM AND CRITICAL-POINT DATA, Industrial & engineering chemistry research, 37(5), 1998, pp. 1613-1618
Two methods for the estimation of the interaction parameters in cubic
equations of state by using the entire binary phase equilibrium databa
se and the critical point locus, respectively, are presented. The solu
tion of the optimization problem is accomplished in both methods by a
Gauss-Newton-Marquardt minimization algorithm. The methods are computa
tionally efficient and robust because they are based on implicit objec
tive functions and hence avoid phase equilibrium or critical point cal
culations during the parameter optimization. The use of the entire pha
se equilibrium database and the critical locus can be a stringent test
of the correlational ability of the equation of state. In the illustr
ative examples, the results were obtained by using the Peng-Robinson a
nd the Trebble-Bishnoi equations of state with quadratic mixing rules
and temperature-independent interaction parameters.