Alternative soft fault model of the cross-coupling effect correlated at hydroelectric power energy system

•The model of the cross-coupling effect in a hydroelectric is proposed.•The mechanism of cross-coupling is described.•The Recursive Decision Feedback Extension is proposed.•Fuzzy fault modelling strategy is implemented.•The results are presented by a real hydroelectric system. The next article describes the application of an alternative soft fault model strategy considering the cross-coupling effect analyse at the structural architecture for hydroelectric power system generator. The scheme is based on the Fuzzy Recursive Decision Feedback Extension (RDFE) tested and verify on a non-linear hydroelectric power system model obtained by a real system. The Timing, Sequencing and Priority Strategy are improved inserting Fuzzy Time Series (FTS) to model a Fuzzy soft fault model for the Scheme proposed. A case of Successful application is explained considering the development of an experiment in the laboratory of the Group of Power traction, quality and generation of power systems in the Puebla Autonomous University.