Experimental analysis of the thermal behavior of a GM cryocooler based on linear system theory

Determination of the temperature vs power dynamic behavior of a cryocooler via two independent methods in time and frequency domain

“…Otherwise, both can be carried out in order to perform a self-consistency check, as presented in Ref. [4]. …”

Active suppression of temperature oscillation from a pulse-tube cryocooler in a cryogen-free cryostat: Part 1. Simulation modeling from thermal response characteristics

“…The transfer functions G1(s) and G3(s) were then obtained by using the ratio of the Laplace transform of the output function to the Laplace transform of the excitation step heating function. Indeed, according to references [22] and [24], the best fit of the temperature response to a power step input can be accurately described by a sum of exponential decays: Table 1. The fitted functions of the stepwise heating and intrinsic sinusoidal response.…”

“…Bhatt et al [23] used the transfer function of a cryocooler to help tune the PI control coefficients of their system. To model the thermal behavior of their cryocooler, Sosso et al [24] used linear system theory, which can be effective in the design of temperature controllers. Nevertheless, both these groups' research was only focused on the cold end of the cryocooler itself, and not the cryostat it was cooling.…”

Thermal Performances of an Improved Package for Cryocooled Josephson Standards

“…A dc current was fed through the heater wire to vary the coldplate temperature, that was measured with a calibrated sensor after it reached a stable point, i.e. after few cryocooler time constants [22]. Chip temperature was estimated to be the same as the coldplate, since very low heat is generated during I c measurements and the gradient across its thermal resistance path to the coldplate is then negligible.…”