The thermal model of the power plant based on the solid oxide fuel cells (SOFC) fed with methane is developed. The power plant includes three heat-generating zones: a fuel-cell stack, a reactor of partial oxidation (RPO), and an afterburner. It is shown that temperature distribution along the battery depends on three factors: a methane consumption, a methane to air relation in the flow fed to the RPO, and a battery current. Results of modeling well correlate with the experimental data received on the power plant prototype with the SOFC stack consisted on 16 tubular cells.