The warm displacer pulse tube refrigerator has the same theoretical efficiency of Stirling refrigerator. The isothermal model or equivalent PV model for a pulse tube refrigerator is rather complex, which need to develop a numerical program, though the calculation speed is very high. The warm displacer pulse tube refrigerator is more like Stirling refrigerator. If the displacer and the gas column between the displacer and the cold gas in the pulse tube are considered as a hybrid displacer, the isothermal model of Stirling refrigerator can be modified to calculate this type of pulse tube refrigerator, which can be calculated by Excel. It is rather simpler than ordinary equivalent PV model.
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