“…As a result of the study of a considerable number of literature sources and, accordingly, ideas that were proposed to simplify the development of a mathematical model, it can be concluded that not many of the previously considered options present the apparatus under study in the form of such a mathematical model that would clearly display what happens in the electrolyser during the process of aluminium production. The existing models describe the change in various parameters of the electrolyser in time: a partial differential equation, for example, such as the supply voltage of the electrolysis bath or the amount of metal poured out of the electrolyser [8,9]. However, to understand this model, it is still necessary to understand the basis, e.g., what each variable means, how the constant coefficients are determined, etc.…”