Investigation on the Phase Characteristics of High Frequency Inertance Pulse Tube Cryocoolers above 50 K.

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Li, S. S.
Dang, H. Z.
Wu, Y. N.
Wang, L. B.
Yang, K. X.
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Phase characteristics of an inertance pulse tube cryocooler (IPTC) mainly include the mass flows, the pressure amplitudes, and the phase shifts between them. These are decisive factors for cooler performance, and are strongly affected by variations in the inertance tube design. In this work we describe theoretical analyses and experimental studies carried out on the phase characteristics of a large capacity high frequency single-stage IPTC developed in our laboratory and operated with a variety of inertance tube geometries at 80K. The theoretical analyses focused on investigating the amplitudes and phase angles at various locations of the whole system and established the phasor relationship of the cooler by combining a phasor-type analysis and a REGEN 3.2 analysis. The COP was calculated, and the influence on compressor efficiency was analyzed based on a force balance and Ohm’s law. The experimental study stressed evaluating the phase characteristics of the cooler by making a few easy measurements of the key parameters. The measurements included the compressor piston position using LVDT (linear variable differential transformer) rods, the pressure amplitudes—in the reservoir, at outlet of compressor, and the warm end of the pulse tube — using pressure transducers, and the phase angles between them. The measured results are compared with the theoretical predictions. Both the theoretical and experimental investigations imply that the change of the inertance characteristics have a great influence on the pressure difference, cooling power, the efficiency of the cold finger, and the efficiency of the compressor. It is concluded that optimization of the inertance tube should consider both the cold finger efficiency and the compressor efficiency at the same time, in order to achieve an optimum efficiency of the overall IPTC.
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