Both conventional and advanced exergy analysis methods were adopted to compare parallel and series compression-ejection hybrid refrigeration system for a two-temperature R290 refrigerator. The calculation was performed through Matlab and CoolProp. The results over typical design conditions showed that the exergy efficiency of the series system is 5.17% higher than the parallel system, and the exergy destructions of the compressor (30.59% for parallel and 31.22% for series) and the ejector (19.36% for parallel and 22.65% for series) are the biggest of the total system. Results from advanced exergy analysis showed that the compressor possesses highest improvement priority as its avoidable exergy destruction rate is the biggest, 42.76% of the total for parallel system and 41.28% for series system. The endogenous avoidable exergy destruction rates of the compressor and the ejector are larger than their exogenous parts in both systems, indicating it is most important to improve their own efficiency. However, the condenser's endogenous avoidable exergy destruction rates are smaller than their exogenous part, so it is more effective by improving other system components rather than itself. The influence of the interactions among the components on the system performance was also evaluated based on their mexogenous exergy destruction. (C) 2018 Elsevier Ltd. All rights reserved.