Redox flow battery time-varying parameter estimation based on high-order sliding mode differentiators

Journal Article (2022)


International Journal of Energy Research







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A new insight into vanadium redox flow batteries (VRFB) parameter estimation is presented. Driven by the electric vehicles proliferation, a hybrid fast-charging station with grid and a renewable energy connection is particularly considered. In this stationary application, the VRFB is operating as buffering module. This hybrid topology could contribute to reduce the grid connection cost of the charging station. However, to make VRFB a viable technology, improvements are needed. Among these, some of the most important are in the field of the estimation of the battery's State of Charge, State of Health, and internal parameters. The proposed estimation method is based on a recursive least square (RLS) estimation algorithm with forgetting factor, combined with a sliding mode finite-time convergent differentiation algorithm. The latter provides robust exact derivatives of both VRFB's current and voltage with a high degree of noise rejection, required by the RLS algorithm to perform a precise estimation. The proposed sliding mode-based estimation setup is completed with a systematic methodology to guarantee the validity of the on-line estimated values, depending on the persistence of excitation of the measured current and voltage. Finally, the methodology is thoroughly analysed and validated by computer simulation.


observability, storage automation.

Author keywords

parameter estimation, sliding mode differentiator, state of charge, state of health, vanadium redox flow battery

Scientific reference

P. Fornaro, T.P. Puleston, P.F. Puleston, M. Serra, R. Costa and P. Battaiotto. Redox flow battery time-varying parameter estimation based on high-order sliding mode differentiators. International Journal of Energy Research, 46(12): 16576-16592, 2022.