Cooling capacity parametric identification of the two-stage cryostat nitrogen and helium stages

The paper proposes a method to assess cooling capacity of the closed-type nitrogen-helium cryostat. The method is based on searching for extremum of the calculated values of the each stage cooling capacity in each time block while minimizing the root-mean-square functional of the discrepancy between the expected and calculated dynamics in cooling the stages. First, direct problem of the structure heat transfer is solved, and then the minimum root-mean-square error is found based on the selected regularization method with iterative refinement of the parameters under study. The conjugate directions method is chosen for optimization, as it is the most accurate method of the first order of convergence. The iterative regularization method is selected to overcome incorrectness in the initial data, as iteration number is the regularizing parameter.
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