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Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
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Harmonic Ratio Analysis (HRA) for Online Monitoring of Electrolyzers and Fuel Cell Systems - A Nonlinear Diagnostic Method Complementing Electrochemical Impedance Spectroscopy (EIS)

Authors: Benecke, Hannes; Benecke, Robert;

Harmonic Ratio Analysis (HRA) for Online Monitoring of Electrolyzers and Fuel Cell Systems - A Nonlinear Diagnostic Method Complementing Electrochemical Impedance Spectroscopy (EIS)

Abstract

Harmonic Ratio Analysis (HRA) is a nonlinear electrochemical diagnostic method for online condition monitoring of electrolyzers and fuel cell systems at cell and stack level. The method evaluates selected harmonic ratios derived from low-frequency multi-frequency modulation of the operating point and provides robust trend-based indicators of asymmetric transport-related and symmetric kinetic nonlinearities. This technical note describes the measurement principle, harmonic ratio definitions, multi-frequency evaluation strategy, quality chain including SNR gating and persistence criteria, and practical implementation aspects for laboratory testing, industrial stack monitoring, and controller integration. The method is designed as a complementary approach to electrochemical impedance spectroscopy (EIS) for field-robust nonlinear diagnostics.

Keywords

Online condition monitoring, Harmonic Ratio Analysis, Stack monitoring, Nonlinear frequency response, Electrolyzer monitoring, Electrochemical diagnostics, Fuel cell diagnostics, Electrochemical impedance spectroscopy

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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