Thermal-physical modeling and parameter identification method for dynamic model with unmeasurable state in 10-kW scale proton exchange membrane fuel cell system

•Thermal model considering complete heat transfer is built for 10 kW-scale PEMFC.•Identifying parameters for differential equations with unknown state firstly.•Using step integration with continued fractions for simplex tuning optimization.•Solve unmeasurable dynamic model identifying efficiently vs other methods.•Fitness promotion from 0.54 to 0.89 considering full stack-ambient heat transfer.