A combined power system consisting of a high-temperature polymer electrolyte fuel cell (HT-PEFC) as a topping power system and an ORCS (organic Rankine cycle system) as a bottoming cycle system is proposed and analytically optimized in this paper. In comparison to a LT-PEFC (low-temperature polymer electrolyte fuel cell), a HT-PEFC based on PA (phosphoric-acid)-doped polybenzimidazole (PSI) membranes has the advantage of an increased operating temperature. The waste heat recovered from a HT-PEFC stack can be used to generate more electricity by means of a bottoming power cycle system. An ORCS is widely used to generate electric power from heat recovered at a relatively low temperature. With the models of a HT-PEFC and an ORCS, the power and efficiency of the combined system are analytically derived. The maximum power of the combined system is calculated at full and partial loading of the fuel cell. The maximum power and corresponding efficiency are taken into account for the optimal performance of the ORCS. The results show that the power of the combined system is 17-21% higher than that of the HT-PEFC system without a heat recovery system. (C) 2016 Elsevier Ltd. All rights reserved.