Parameters correlation and sensitivity analyses for single-segment inertance tubes in pulse tube cryocoolers: a comprehensive large-scale dataset investigation

The inertance tube, as a crucial component of pulse tube refrigerators, directly determines the refrigeration efficiency through its phase-shifting capability. Traditional design methods for inertance tubes are often inefficient and struggle to identify the optimal dimensions due to the multiple influencing parameters and their complex coupling relationships. To address these issues, a comprehensive dataset of 641,986 data points, encompassing the phase-shifting characteristics of single-segment inertance tubes across a range of operational parameters and structural dimensions, was compiled to enhance precision. Principal Component Analysis was then employed to conduct an in-depth analysis of the correlations between the phase-shifting capability of the inertance tube and its operating and structural parameters. Additionally, Local Sensitivity Analysis was performed to evaluate the sensitivity of structural parameters at various value points. Combining the results of correlation and sensitivity analyses, an innovative design process and parameter selection strategy for inertance tube design was proposed, aiming to offer targeted guidance and improve the design efficiency.