A critical study of the Miura-Maki integral method for the estimation of the kinetic parameters of the distributed activation energy model

Using some theoretically simulated data constructed from known sets of the activation energy distribution f(E) (assumed to follow the Gaussian distribution f(E)=1σ2πexp[-(E-E0)22σ2], where E is the activation energy, E0 is the mean value of the activation energy distribution, and σ is the standard deviation of the activation energy distribution) and the frequency factor k0, a critical study of the use of the Miura-Maki integral method for the estimation of the kinetic parameters of the distributed activation energy model has been performed from three cases. For all cases, the use of the Miura-Maki integral method leads to important errors in the estimation of k0. There are some differences between the assumed and calculated activation energy distributions and the differences decrease with increasing the assumed k0 values (for Case 1), with increasing the assumed σ values (for Case 2), and with decreasing the b values (for Case 3).