(475d) Data Clustering-Based Hybrid-Kinetic Model of an Industrial-Scale Biochemical Fermenter
AIChE Annual Meeting
Wednesday, November 10, 2021 - 1:15pm to 1:30pm
The hybrid model is a combination of a first-principles model and a data-based model . Due to uncertainties in the parameters and lack of complete process information, it is challenging to build a process model that can accurately predict the states resulting in a plant-model mismatch between predicted and measured state concentrations. In order to improve the accuracy of the model, global sensitivity analysis was performed by varying the nominal parameters in a specified range. This was done to identify the most critical parameters affecting the model prediction. Based on the knowledge of these sensitive parameters, the prediction horizon is divided into multiple time-intervals, where each time-interval consists of a data cluster, and the sensitive parameters are estimated separately in each cluster. Hence, instead of using just one estimate of parameters for the entire duration of the process, our approach uses time-varying parameter estimates.
Furthermore, to quantitatively approximate the variation of these parameters, a neural network-based approach was adopted. The parameters that varied the most based on the clustering results were chosen as the output of the neural network, and the model states like biomass, substrate, and product were chosen as inputs to the neural network. The parameters estimated using the neural network were then used in the first principles model, and the output concentrations were determined. The Levenberg Marquardt algorithm was used to train the neural network and iteratively update the weights and biases . These updated network parameters are used in the next iteration, giving a new set of outputs. The process is repeated till the sum squared error of the outputs is less than a tolerance value.
As a case study, we applied this framework to a biochemical fermentation process. The results show a better estimation of uncertain time-varying parameters, thus considerably improving the prediction of output states over previous models. The hybrid-kinetic model was validated using different experimental data showing reasonably good agreement to the online measurements. To further improve the prediction power, data from multiple fermentation batches were used to train the network. To conclude, the hybrid kinetic model reduced the plant model mismatch and provided a better prediction accuracy and extrapolation capability for sets of process data.
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