The thermal decomposition model of flame-retardant polyethylene
terephthalate (FRPET) fiber is essential for predicting its fire behavior
and do relevant fire simulation. In this work, the thermal decomposition
character of FRPET is investigated via thermogravimetric analysis
at four heating rates. Two kinetic schemes are proposed based on the
analysis of experimental data and model-free methods. The model-free
methods (Friedman and advanced Vyazovkin methods) are employed to
determine possible search range for particle swarm optimization algorithm
with constriction factor (CFPSO). Thus, this coupled method could
evaluate the kinetic parameters for two proposed schemes without initial
guess. Both models could reasonably predict the experimental data
with obtained parameters, and the second two-step consecutive model
shows better performance. The performance of CFPSO on the second model
is further compared with improved generalized simulated annealing
algorithm, and CFPSO was found to be more effective. Furthermore,
global sensitivity analysis was conducted via the Sobol method to
investigate the influence of kinetic parameters for the second model
on predicted results. The most influential parameters are ln
A
and
E
α
of the second
reaction and reaction order
n
of the third reaction.