Majlesi Journal of Electrical Engineering Water Distribution and the Impact of Relative Humidity in a PEMFC Energy System using Macroscopic Energy Representation by Inversion Control Volume 15 (2021) Issue 3, September 2021 2024 02 12 Water Distribution and the Impact of Relative Humidity in a PEMFC Energy System using Macroscopic Energy Representation by Inversion Control 10.30486/mjee.2021.696645 EN Farid Saadaoui CAOSEE Research Laboratory Control, Analysis and Optimization of Systems Electro-Energetic systems, University of Tahri Mohamed Bechar, Bp417, Bechar, Algeria. Khaled Mammar Department of Electrical Engineering, University of Tahri Mohamed Bechar, Bp 417, Bechar, Algeria. Abdaldjabar Hazzab CAOSEE Research Laboratory Control, Analysis and Optimization of Systems Electro-Energetic systems, University of Tahri Mohamed Bechar, Bp417, Bechar, Algeria. Journal Article 2024 02 12 One of the most significant handicaps and disadvantages for the proper operation of the polymer membrane in a PEMFC fuel cell energy system is the distribution of water. In this paper, we propose a mathematical model for defining the static and dynamic characteristics of energy behaviour (voltage, electricity, and relative humidity) for various input operating parameters (hydrogen, oxygen, water flow rates, temperature and current). This energy phenomenon is used in a wide range of operating conditions to ensure the exploitation of the energy produced, which will be modeled by a recent practicable and achievable graphical formalism, the Macroscopic Energy Representation (MER), which is used because of its simplicity which feasibility, and is based on the action/reaction principle and controlled by a simple inversion method. This behavior is designed to deduce and recommend an energy management plan for the PEMFC system that takes into account the various states of flooding and drought and contributes to an optimal humidity level for the system's implementation. The simulation results show that to operate correctly for this model, the Relative Humidity must be in the neighborhood of 100% for the device to be effective.