The paper analyzes the energy balance of the solid oxide fuel cell (SOFC) battery. The existence of three temperature points satisfying the equation of SOFC battery energy balance is found out. The first point is trivial and corresponds to the cooled state of the battery. The second temperature point corresponds to an unstable state of the battery and finally, the third point is stable and corresponds to the normal operating state of the battery. The difference between the third and second point defines the temperature interval within the battery is able to self-heating. Analogy with the Semenov diagram for chemical reactors is noted.
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