大功率毫米波行波管AM/PM转换特性大信号解析理论的研究
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电子科技大学 电子科学与工程学院,电子科技大学 电子科学与工程学院,电子科技大学 电子科学与工程学院,电子科技大学 电子科学与工程学院,电子科技大学 电子科学与工程学院

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国家自然科学基金(61771105);中央高校基本科研业务费专项基金(ZYGX2016J065,ZYGX2016J066)


Analytic exploration of AM/PM conversion characteristics of high power millimeter-wave traveling wave tubes using Eulerian hydrodynamic analysis
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School of Electronic Science and Engineering, University of Electronic Science and Technology of China,School of Electronic Science and Engineering, University of Electronic Science and Technology of China,School of Electronic Science and Engineering, University of Electronic Science and Technology of China,School of Electronic Science and Engineering, University of Electronic Science and Technology of China,School of Electronic Science and Engineering, University of Electronic Science and Technology of China

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    摘要:

    毫米波行波管是未来通信发展的重要方向,由于AM/PM转换是影响毫米波行波管通信的重要非线性特性指标,因此AM/PM转换的研究对实现毫米波行波管线性化具有重要意义.本文基于相位展开的毫米波行波管欧拉大信号注波互作用理论模型,忽略高于二阶的非线性项,建立简化的欧拉大信号注波互作用理论模型.采用逐次逼近法推导其解析解,建立二阶逼近的欧拉大信号解析理论模型.利用欧拉大信号解析理论模型推导AM/PM转换的解析解,并发现AM/PM转换的产生与电子相位直流分量的激励成正比.应用建立的欧拉大信号解析理论和AM/PM转换解析模型对一支Q波段毫米波行波管进行大信号分析,并与拉格朗日理论模型以及传统的欧拉非线性理论模型进行对比.结果表明:欧拉大信号解析解的功率、增益和相移以及AM/PM转换与拉格朗日理论在线性区和中度互作用区十分吻合,饱和增益最大误差小于8.5%.同时,相较于传统的欧拉非线性模型,欧拉大信号解析解对非线性区增益和相移非线性特性的描述更具优势,即不但具有更高的精度,而且表现出传统欧拉非线性模型无法描述的增益压缩和相位失真现象.仿真结果验证了欧拉大信号解析解和AM/PM转换解析模型在线性区到中度互作用区的正确性和有效性.该AM/PM转换解析模型为后续研究毫米波行波管AM/PM转换非线性特性的物理机制与抑制方法奠定了基础.

    Abstract:

    In this paper, a simplified nonlinear Eulerian beam-wave interaction theory model for helix traveling wave tubes is developed. Next, derived from the nonlinear model, a second-order Eulerian large-signal analytic solution is obtained by the method of successive approximation. Then, the analytic solution of AM/PM conversion is obtained and the relationship between AM/PM conversion and electron phase is also found. Finally, the Eulerian large-signal analytic solution and the analytic solution of AM/PM conversion are compared to a Lagrangian beam-wave interaction theory model and traditional Eulerian nonlinear models. All the simulations are conducted on a set of millimeter-wave traveling wave tube parameters which are based on a single pitch section of a Q-Band traveling wave tube. It is found that the gain, phase and AM/PM conversion of Eulerian large-signal analytic solution agree well with Lagrangian beam-wave interaction theory model before saturation occurs. The maximum error of gain is less than 8.5% near saturation. The Eulerian large-signal analytic solution gain more accuracy than traditional Eulerian models. The present Eulerian large-signal analytic solution can describe saturation effects which is caused by electron overtaking that cannot be found by traditional Eulerian analysis. Results validate the correctness and effectiveness of our Eulerian large-signal analytic solution and the analytic solution of AM/PM conversion. The analytic model of AM/PM conversion is expected to be useful as a first-hand design and simulation tool of AM/PM conversion for millimeter-wave traveling wave tubes.

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邱海舰,胡玉禄,胡权,朱小芳,李斌.大功率毫米波行波管AM/PM转换特性大信号解析理论的研究[J].红外与毫米波学报,2018,37(5):578~585]. QIU Hai-Jian, HU Yu-Lu, HU Quan, ZHU Xiao-Fang, LI Bin. Analytic exploration of AM/PM conversion characteristics of high power millimeter-wave traveling wave tubes using Eulerian hydrodynamic analysis[J]. J. Infrared Millim. Waves,2018,37(5):578~585.]

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  • 收稿日期:2018-01-18
  • 最后修改日期:2018-04-11
  • 录用日期:2018-04-11
  • 在线发布日期: 2018-10-31
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