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The paper reviews one of the possible approaches to developing an analysis technique of Oxygen Generation System (OGS) thermal conditions. As an object of simulation a 30% KOH water electrolysis system with forced electrolyte circulation through the both electrolyzer chamber followed by separation of a gas/liqiud mixture using hydrophobic porous membranes. A formalized description of the key system components (an electrolyzer, set of coolers, separator, canister) is presented. A mathematical model simulating stationary and non-stationary thermal conditions of the system is constructed and its programming is reviewed. Some results of computational and operational experiments obtained for checking the model adecuacy are presented.