“…Additionally, the current mathematical models are essentially hydrodynamic [11,8,19] or stochastic [5,4,6], involving analyses based on local dynamic variables most of the time difficult to estimate, such as the size and geometry of gas bubbles, or their fractional electrode coverage [20]. The proper understanding and control of CGDE via global thermodynamic and measurable variables is necessary [10] to detect unwanted behaviors such as in the case of HallHéroult process for aluminum smelting, for example. The anode effects, which are due to brief upsets of the electrochemical conditions during the electrolysis of alumina in molten cryolite, lead to undesirable voltage increases with unstable production rates and extremely harmful environmental impacts [19].…”