The results presented in this article are based on extensive research conducted in the field of mathematical modeling and digital simulations. These works concerned the construction of a new mathematical proton conducting solid oxide fuel cell model, the model of which was based on reduced order approach [1]. Now, we are trying to use the developed model to identify the operational characteristics of H+SOFC. The validation of the model was based on the results of experimental research taken from the literature [2,3]. In experimental research, the practical applications of such devices are largely neglected. Therefore, in the first step, optimization of the fuel cell operating parameters was signed in terms of achievable performance indicators such as efficiency, power density, current density and others. The optimization was based on the Box method [4] available in the used software [5]. This method concerns the search for the maximum of the general nonlinear function of several variables within a limited area. This method is more effective than other methods when the optimum lies within one or more constraints. The algorithm itself is based on the Simplex method from which it was evolved.