Kb. Shubert et Jf. Ely, APPLICATION OF A NEW SELECTION ALGORITHM TO THE DEVELOPMENT OF A WIDE-RANGE EQUATION OF STATE FOR REFRIGERANT R134A, International journal of thermophysics, 16(1), 1995, pp. 101-110
Refrigerant R134a (1,1,1,2-tetrafluoroethane) is a leading substitute
for refrigerant R12. As such, there has been worldwide activity to dev
elop accurate wide-range equations of state for this fluid. In this st
udy, we have developed a new selection algorithm for determining high-
accuracy equations of state in the Helmholtz representation. This meth
od combines least-squares regression analysis with simulated annealing
optimization. Simulated annealing, unlike stepwise regression, allows
for the controlled acceptance of random increases in the objective fu
nction. Thus, this procedure produces a computationally efficient sele
ction algorithm which is not susceptible to the function-space local-m
inima problems present in a purely stepwise regression approach. Two e
quations are presented in this work and compared against experimental
data and other high-accuracy equations of state for R134a. One equatio
n was produced strictly by using stepwise a regression algorithm, whil
e the other was produced using the simulated-annealing selection algor
ithm. In both cases the temperature dependence of the equations was re
stricted to have no terms whose exponents were greater than five.