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4D hybridisable interpolation methodology aimed at system modelling: application to a fuel cell blower

J. Rodriguez-Gongora(1), F.J. Asensio(1), A. Ordono(1), M. Gonzalez-Perez(1), G. Saldaña(2), O. Oñederra(2)

1. Department of Electrical Engineering Engineering, School of Gipuzkoa, University of the Basque Country (UPV/EHU), Eibar (Spain)

2. Department of Electrical Engineering Engineering School of Bilbao, University of the Basque Country (UPV/EHU), Bilbao (Spain)

2026-01-20

This paper focuses on providing an empirical model construction methodology based on Piecewise Cubic Hermite Interpolation Polynomials (PCHIP). The proposed methodology is suitable for modelling systems with high non-linearity between system parameters, process variables and/or operation variables. A detailed description of the 4D interpolation methodology is given and a practical application for a fuel cell (FC) blower black-box model obtaining is shown. The results of the algorithm-based model are compared to datasheet specifications to validate the FC blower model. The validation shows a good precision in the operation limits estimation. Additionally, some FC-related applications suitable for the obtained blower model utilization are described.

Key words: Piecewise Cubic Hermite Interpolation Polynomials (PCHIP), Modelling, Fuel Cells (FC), Blower.

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