Black-Box Mathematical Modeling and Heuristic Optimizing of Hampson-Linde Cycle Based on Joule-Thomson Effect and Ohm’s Law for Thermal Circuits

Abstract

Nowadays, due to recent global climate changes, replacing non-environmental friendly technology with more sustainable energy is desired. Thus, researchers are designing new, environmentally friendly products, for which some use the black box modeling method. Therefore, the presented work represents a Hampson-Linde cryogenic cooler model based on Joule-Thomson Effect and Ohm’s Law for thermal circuits, optimized using a parallel “Particle Swarm Optimization” (PSO) algorithm. An innovative feature of this model is that it uses two translations—from electrical to the thermal domain and a simplifying time domain—and is implemented to provide results using less demanding computational resources and simulation time. Furthermore, a possibility for superconductive states is presented for commonly used category II superconductors. Last, but not least, based on the predicted output temperature, models of more complex processes could be developed, such as a model for the Hyperloop concept.