旭日型磁控管谐振系统的等效电路模型与分析

Equivalent Circuit Model and Analysis of Rising-sun Magnetron Resonant System

通过分析旭日型磁控管的等效电路,利用扇形谐振腔的等效电容和等效电感的计算公式,计算旭日型磁控管各模式的谐振频率;简化了谐振频率的计算公式,得到了谐振频率关于结构尺寸的解析表达式;分析了π模谐振频率随大、小腔的半径、角度的变化情况。结果表明:等效电路计算结果与仿真结果基本一致,特别是π模谐振频率十分相符。因此,该等效电路计算方法是可行的。π模谐振频率随大、小腔半径和小腔角度的增大而减小,随大腔角度的增大而增大,研究结果有助于旭日型磁控管的预先设计与分析。

Equivalent circuit of rising-sun magnetron is analyzed in this paper, and resonant frequencies of each mode are calculat-ed by expressions of equivalent capacitance and inductance of sector cavity. The formula of resonant frequency was simplified and then an expression of resonant frequency as a function of structure dimensions is derived. Moreover, the influence of structure di-mensions on n-mode resonant frequency is analyzed. The results showed that the equivalent circuit result is consistent with simula-tion result, approximately. Especially, the n-mode resonant frequencies obtained by two methods are consistent well with each oth-er. Besides, n-moderesonant frequency increased with the increasing of big cavity radius, small cavity radius and its angle, while it increases with the decreasing of small cavity angle. Therefore, the equivalent circuit theory in this paper is available and it can help to predesign and analyze resonant system of rising-sun magnetron.