Levenberg-Marquardt backpropagation algorithm for parameter identification of solid oxide fuel cells

Fast and precise identification of several unknown parameters for solid oxide fuel cell (SOFC) models play a critical role in modeling analysis, optimal control, and behavior prediction. However, inherent high-nonlinear, multi-variable, and strongly coupled features usually lead to thorny obstacles that hinder conventional methods to identify them with a high speed, high accuracy, and reliable stability. Hence, a Levenberg-Marquardt backpropagation (LMBP) algorithm-based parameter identification technique is proposed in this study, which is applied to efficiently train designed artificial neural networks (ANNs) to implement the identification task. Furthermore, two typical models, for example, electrochemical model (ECM) and steady-state model (SSM), are taken into account to validate the identification performance of the LMBP algorithm under different operation conditions. Simulation results based on MATLAB demonstrate that the LMBP algorithm can extremely improve the accuracy, speed, and stability for estimating these unknown parameters via a comprehensive comparison with four mainstream meta-heuristic algorithms, that is, artificial ecosystem-based optimization (AEO), equilibrium optimizer (EO), grey wolf optimization (GWO), and moth-flame optimization (MFO).

Automated summary

A parameter identification technique based on the LMBP algorithm is proposed in this study, which is validated through two typical models to show its performance under different operation conditions. Simulation results demonstrate that the LMBP algorithm significantly improves accuracy, speed, and stability compared to other mainstream meta-heuristic algorithms.