title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ° Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð±ÐµÑÑÐ¸Ð³ÐµÐ»ÑÐ½Ð¾Ð¹ Ð·Ð¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð°Ð²ÐºÐ¸ Ð´Ð»Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ Ð¼Ð¾Ð½Ð¾ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð° ÐºÑÐµÐ¼Ð½Ð¸Ñ Ð´Ð¸Ð°Ð¼ÐµÑÑÐ¾Ð¼ 200 Ð¼Ð¼
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Development of a power source for an induction crucibleless zone melting plant for producing a single crystal of silicon with a diameter of 200 mm
Creators: name: Ð¨Ð»ÐµÐ½ÑÐ°Ðº, ÐÐ¸ÑÐ°Ð¸Ð»
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð±ÐµÑÑÐ¸Ð³ÐµÐ»ÑÐ½Ð°Ñ Ð·Ð¾Ð½Ð½Ð°Ñ Ð¿Ð»Ð°Ð²ÐºÐ°
Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð½Ð°Ð³ÑÐµÐ²
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð»Ð°Ð¼Ð¿Ð¾Ð²ÑÐ¹ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾Ñ
crucibleless zone melting
induction heating
mathematical modeling
lamp generator

description: ÐÐ»Ð°Ð²Ð½ÑÐ¼ Ð¾Ð±ÑÐµÐºÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð»Ð°Ð¼Ð¿Ð¾Ð²ÑÐ¹ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÑÑ 65 ÐºÐÐ Ð¼ ÑÐ°ÑÑÐ¾ÑÐ¾Ð¹ 3 ÐÐÑ Ð´Ð»Ñ Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸Â  Ð±ÐµÑÑÐ¸Ð³ÐµÐ»ÑÐ½Ð¾Ð¹ Ð·Ð¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð°Ð²ÐºÐ¸, Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¿Ð¾Ð»ÑÑÐ°ÑÑ Ð¾ÑÐ¾Ð±Ð¾ ÑÐ¸ÑÑÑÐ¹ Ð¼Ð¾Ð½Ð¾ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð¸ÑÐµÑÐºÐ¸Ð¹ ÐºÑÐµÐ¼Ð½Ð¸Ð¹. ÐÐ°Ð¼Ð¿Ð¾Ð²ÑÐ¹ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾Ñ Ð²ÑÑÑÑÐ¿Ð°ÐµÑ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÐµÐ¼ Ð¿ÐµÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ð¿ÑÐ¾Ð¼ÑÑÐ»ÐµÐ½Ð½Ð¾Ð¹ ÑÐ°ÑÑÐ¾ÑÑ Ð² Ð²ÑÑÐ¾ÐºÐ¾ÑÐ°ÑÑÐ¾ÑÐ½ÑÐ¹ Ð¿ÐµÑÐµÐ¼ÐµÐ½Ð½ÑÐ¹ ÑÐ¾Ðº. ÐÐ¾ÑÐ½Ð¾ÑÑÑ, ÐºÐ¾ÑÐ¾ÑÑÑ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸Ñ ÐºÐ¾Ð»ÐµÐ±Ð°ÑÐµÐ»ÑÐ½ÑÐ¹ ÐºÐ¾Ð½ÑÑÑ Ð»Ð°Ð¼Ð¿Ð¾Ð²Ð¾Ð³Ð¾ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ°, Ð±ÑÐ´ÐµÑ Ð¿Ð¾ÑÑÐµÐ±Ð»ÑÑÑÑÑ Ð½Ð°Ð³ÑÑÐ·Ð¾ÑÐ½ÑÐ¼ ÐºÐ¾Ð½ÑÑÑÐ¾Ð¼, Ñ. Ðµ. ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¾Ð¹ Ð±ÐµÑÑÐ¸Ð³ÐµÐ»ÑÐ½Ð¾Ð¹ Ð·Ð¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð°Ð²ÐºÐ¸. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¾Ð´Ð½Ð¾ÐºÐ¾Ð½ÑÑÑÐ½ÑÐµ Ð»Ð°Ð¼Ð¿Ð¾Ð²ÑÐµ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÑ Ñ Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼ÑÐ¼ Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸ÐµÐ¼ Ð¸ ÑÐ°Ð¼Ð¾Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸ÐµÐ¼. Ð ÑÐ»ÑÑÐ°Ðµ Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾Ð³Ð¾ Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸Ñ Ð½Ð° ÑÐµÑÐºÑ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ½Ð¾Ð¹ Ð»Ð°Ð¼Ð¿Ñ, Ð¾ÑÐ½Ð¾Ð²Ð½Ð¾Ð³Ð¾ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ° Ð»Ð°Ð¼Ð¿Ð¾Ð²Ð¾Ð³Ð¾ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ°, ÑÐ¸Ð³Ð½Ð°Ð» Ð¿Ð¾ÑÑÑÐ¿Ð°ÐµÑ ÑÐ¾ Ð²Ð½ÐµÑÐ½ÐµÐ³Ð¾ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ°. Ð ÑÐ»ÑÑÐ°Ðµ ÑÐ°Ð¼Ð¾Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸Ñ ÑÑÐ¾Ñ ÑÐ¸Ð³Ð½Ð°Ð» ÑÐ¾ÑÐ¼Ð¸ÑÑÐµÑÑÑ ÑÐ°Ð¼Ð¸Ð¼ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ¾Ð¼ Ð·Ð° ÑÑÑÑ ÑÐµÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐµÐ¿Ð¸ Ð¾Ð±ÑÐ°ÑÐ½Ð¾Ð¹ ÑÐ²ÑÐ·Ð¸. Ð Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ COMSOL Multiphysics Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¸ ÑÐ°ÑÑÑÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð², ÐºÐ¾ÑÐ¾ÑÑÐµ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´ÑÑ Ð² Ð¿ÑÐ¾ÑÐµÑÑÐµ Ð±ÐµÑÑÐ¸Ð³ÐµÐ»ÑÐ½Ð¾Ð¹ Ð·Ð¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð°Ð²ÐºÐ¸. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÑÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð², Ð¸ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¾Ð´Ð½Ð¾Ð²Ð¸ÑÐºÐ¾Ð²Ð¾Ð³Ð¾ Ð¸Ð½Ð´ÑÐºÑÐ¾ÑÐ°, ÐºÐ¾ÑÐ¾ÑÑÐµ Ð² Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ¼ Ð±ÑÐ´ÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð¿ÑÐ¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð»Ð°Ð¼Ð¿Ð¾Ð²Ð¾Ð³Ð¾ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ°. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¸Ð½Ð´ÑÐºÑÐ¾ÑÐ° Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ MATLAB Simulink Ð±ÑÐ» Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÑÐ½Ð½ÑÐ¹ ÑÐ°ÑÑÑÑ Ð¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐµÐ¼ Ð¾Ð´Ð½Ð¾ÐºÐ¾Ð½ÑÑÑÐ½Ð¾Ð³Ð¾ Ð»Ð°Ð¼Ð¿Ð¾Ð²Ð¾Ð³Ð¾ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ° Ñ Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼ÑÐ¼ Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸ÐµÐ¼ Ð¸ ÑÐ°Ð¼Ð¾Ð²Ð¾Ð·Ð±ÑÐ¶Ð´ÐµÐ½Ð¸ÐµÐ¼. ÐÐ¾ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐ¼ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼ Ð¼Ð¾Ð¶Ð½Ð¾ ÑÑÐ²ÐµÑÐ¶Ð´Ð°ÑÑ, ÑÑÐ¾ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐ¹ Ð¾Ð´Ð½Ð¾ÐºÐ¾Ð½ÑÑÑÐ½ÑÐ¹ Ð»Ð°Ð¼Ð¿Ð¾Ð²ÑÐ¹ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾Ñ ÑÐ¿Ð¾ÑÐ¾Ð±ÐµÐ½ ÑÐ´Ð¾Ð²Ð»ÐµÑÐ²Ð¾ÑÐ¸ÑÑ ÑÐ½ÐµÑÐ³Ð¾Ð·Ð°ÑÑÐ°ÑÑ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð±ÐµÑÑÐ¸Ð³ÐµÐ»ÑÐ½Ð¾Ð¹ Ð·Ð¾Ð½Ð½Ð¾Ð¹ Ð¿Ð»Ð°Ð²ÐºÐ¸.
description: The main object of study in this work is a lamp generator with a power of 65 kVA and a frequency of 3 MHz to power a crucibleless zone melting installation, with the help of which especially pure single-crystalline silicon is obtained. The tube generator acts as a converter of industrial frequency alternating current into high frequency alternating current. The power produced by the oscillatory circuit of the lamp generator will be consumed by the load circuit, i.e., by the crucibleless zone melting installation. During the work, single-circuit tube generators with independent excitation and self-excitation were considered. In the case of independent excitation to the grid of the generator tube, the main element of the tube generator, the signal comes from an external source. In the case of self-excitation, this signal is generated by the generator itself due to the grid feedback circuit. In the COMSOL Multiphysics program, a model of the processes that occur during crucibleless zone melting was developed and calculated. The results were analyzed, and the main parameters of a single-turn inductor were obtained, which will later be used in the development of a tube generator. Based on the obtained parameters of the inductor, an approximate calculation and modeling of single-circuit tube generator circuits with independent excitation and self-excitation was performed in the MATLAB Simulink program. Based on the results obtained, it can be stated that the developed single-circuit lamp generator can satisfy the energy consumption of a crucibleless zone melting installation.