Numerical Analysis of Coil Conductivity Effects on Energy Efficiency and Thermal Performance in Induction-Based Crystal Growth Systems

Document Type : Research Article

Authors

1 Kilometer one of Mahallat-Khomein road

2 Physics Department, Bu-Ali Sina University, Hamedan 65174, Iran

10.22091/jaem.2026.15272.1040

Abstract

Induction heating is a key technology in Czochralski crystal growth systems, where precise control of the thermal field inside the crucible is essential for achieving high crystal quality. While the influence of parameters such as excitation frequency, coil geometry, and input power has been widely investigated, the effect of the electrical conductivity of the induction coil has received comparatively little attention. In this study, the impact of induction coil electrical conductivity on heat generation, spatial heat distribution, and heating efficiency in an induction-heated Czochralski system is systematically investigated using a coupled electromagnetic numerical model. The governing Maxwell equations are formulated under axisymmetric and harmonic steady-state assumptions and solved using the finite element method. The electrical conductivity of the induction coil is varied over several orders of magnitude, while the crucible material properties are kept constant. The results demonstrate that increasing the coil conductivity significantly enhances the total heat generated within the crucible, improves the uniformity of heat distribution, and substantially reduces ohmic losses within the coil. A saturation-like behavior is observed at high conductivity values, indicating diminishing returns beyond a certain threshold. The heating efficiency of the system increases dramatically from only a few percent at low conductivities to values exceeding 90% at high conductivities. These findings highlight the critical role of induction coil electrical conductivity in optimizing energy efficiency and thermal stability in Czochralski crystal growth systems and provide practical guidelines for the design of high-performance induction heating configurations.

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