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基于离散空间映射的飞机高压直流发电系统稳定性分析

许彦武1,李雨龙1,张卓然2   

  1. 1. 南京师范大学
    2. 南京航空航天大学
  • 收稿日期:2026-04-24 修回日期:2026-09-08 出版日期:2026-09-10 发布日期:2026-09-10
  • 通讯作者: 许彦武
  • 基金资助:
    国家自然科学基金青年科学基金项目;江苏省科技重大专项

Stability analysis of aircraft high-voltage dc power generation system based on discrete space mapping

Yan-Wu XU1,Yu-Long LI1,Zhuoran Zhang   

  • Received:2026-04-24 Revised:2026-09-08 Online:2026-09-10 Published:2026-09-10
  • Contact: Yan-Wu XU

摘要: 多电飞机技术的发展和电力电子负载的应用使飞机高压直流发电系统面临日益严峻的稳定性问题。传统的阻抗分析方法依赖发电机电感参数、阻抗和稳定域的连续解析表达。但电励磁双凸极发电机的电感参数具有非线性、强耦合的特点,难以获得准确的连续解析表达式,导致系统稳定性难以全面准确描述。提出一种基于电感—阻抗—稳定域离散空间映射的稳定性分析方法。建立电励磁双凸极发电系统的小信号模型,并推导系统输出阻抗模型。然后,建立非线性电感预测模型,构建电感参数离散空间。将对应的离散电感参数代入输出阻抗模型,得到输出阻抗离散集合。最后,结合稳定性判据将输出阻抗离散集合映射为环路增益离散集合,并依据奈奎斯特轨迹实现稳定性判定,进而完成从电感参数离散空间到稳定域空间的映射。仿真与实验结果表明,该方法能够快速、有效地分析系统的阻抗特性和稳定性。

关键词: 高压直流发电系统, 电励磁双凸极发电机, 离散空间映射, 小信号模型, 稳定性分析, 极限学习机

Abstract: With the development of more electric aircraft and the widespread application of power electronic loads, aircraft high-voltage dc power generation systems are facing increasingly severe stability challenges. Conventional impedance-based analysis relies on continuous analytical expressions of generator inductance parameters, impedance, and stability regions. However, the inductance parameters of the doubly salient electro-magnetic generator (DSEG) exhibit strong nonlinearity and strong coupling, making it difficult to obtain accurate continuous analytical expressions and, consequently, to accurately characterize the system stability. A stability analysis method based on inductance–impedance–stability region discrete space mapping is proposed. First, a small-signal model of the DSEG power generation system is established, and the system output impedance model is derived. Then, a nonlinear inductance prediction model is developed, and a discrete inductance parameter space is constructed. The corresponding discrete inductance parameters are substituted into the output impedance model to obtain a discrete set of output impedances. Finally, according to the stability criterion, the discrete set of output impedances is mapped into a discrete loop-gain set, and stability is determined from its Nyquist trajectories, thereby completing the mapping from the discrete inductance parameter space to the stability region. Simulation and experimental results demonstrate that the proposed method can rapidly and effectively analyze the impedance characteristics and stability of the system.

Key words: high-voltage dc power generation system, doubly salient electro-magnetic generator, discrete space mapping, small-signal model, stability analysis, extreme learning machine

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