*Article* **Mathematical Modelling of Active Magnetic Regenerator Refrigeration System for Design Considerations**

#### **Aref E**ff**atpisheh 1, Amir Vadiee 2,\* and Behzad A. Monfared 3**


Received: 29 September 2020; Accepted: 26 November 2020; Published: 29 November 2020

**Abstract:** A magnetic refrigeration system has the potential to alternate the compression system with respect to environmental compatibility. Refrigeration systems currently operate on the basis of the expansion and compression processes, while active magnetic refrigeration systems operate based on the magnetocaloric effect. In this study, a single layer of Gd was used as the magnetocaloric material for six-packed-sphere regenerators. A one-dimensional numerical model was utilized to simulate the magnetic refrigeration system and determine the optimum parameters. The optimum mass flow rate and maximum cooling capacity at frequency of 4 Hz are 3 L·min−<sup>1</sup> and 580 W, respectively. The results show that the maximum pressure drop increased by 1400 W at a frequency of 4 Hz and mass flow rate of 5 L·min−1. In this study, we consider the refrigeration system in terms of the design considerations, conduct a parametric study, and determine the effect of various parameters on the performance of the system.

**Keywords:** design considerations; magnetocaloric effect; coefficient of performance; refrigeration; capacity; mathematical modelling; energy systems
