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The hybrid power systems (HPS) for transport application are currently under consideration. It causes with ecological and fuel efficiency aspects. The successful solving the problems of enhancing the specific output power parameter, fuel efficiency and diminishing weight of such systems focus on a use the cryogenic cooling and cryogenic fuel as a source of on-board energy. The article is devoted to the analysis and comparison of HPS of different design. The comparison is provided for HPS with different fuel (diesel oil, kerosene, petroleum, liquid natural gas, and liquid hydrogen). The analysis of application in HPS of different types of conventional and HTS electrical machines illustrates the advantage of the latter. The prospective of application of cryogenic power electronics is considered like advanced for HPS. Besides the article provides specific parameters of the HPS with HTS generator, motor, cryogenic electronics and HTS power cable at different cooling