基于非线性动力学的分数阶直驱式永磁同步发电机建模与性能分析  

Modeling and performance analysis of a fractional-order direct-driven permanent magnet synchronous generator based on nonlinear dynamics

作　　者：解骞 李佳鑫 贾业萌 杨晓萍[1] 郭舵 XIE Qian;LI Jiaxin;JIA Yemeng;YANG Xiaoping;GUO Duo(Faculty of Electrical Engineering,Xi’an University of Technology,Xi’an 710048,China;School of Civil Engineering,Tianjin University,Tianjin 300072,China)

机构地区：[1]西安理工大学电气工程学院,陕西西安710048 [2]天津大学建筑工程学院,天津300072

出　　处：《西安理工大学学报》2021年第3期441-450,共10页Journal of Xi'an University of Technology

基　　金：陕西省自然科学基础研究计划资助项目(2019JQ-726)。

摘　　要：本文主要研究分数阶直驱式永磁同步风力发电机(分数阶D-PMSG)的动力学行为,旨在探究不同参数、不同阶数下系统的运动状态及性能特征。首先,利用一个实际的发电机参数,建立D-PMSG的分数阶数学模型,同时为了降低系统参数的复杂性,以便对其进行动力学行为分析,本文通过仿射变换的方法,构建了分数阶D-PMSG模型的紧凑表达形式。在此基础之上,对所构建的分数阶D-PMSG在不同阶数、参数下进行数值仿真,得到相应的分岔图、功率谱和相图等,对系统的动力学特性及性能进行分析,同时获得了系统脱离混沌状态时系统参数与阶数之间的关系曲线。这些分析结果可为D-PMSG在实际设计、运行及控制方面提供一定的理论基础。This paper mainly studies the dynamic behavior of fractional-order direct-driven permanent magnet synchronous generator(fractional-order D-PMSG),aiming to explore the system s motion state and generator performance characteristics with different parameters and different orders.Firstly,a fractional-order mathematical model of D-PMSG is established by using an actual generator parameter.At the same time,in order to reduce the complexity of system parameters and facilitate the dynamic behavior analysis,the compact expression form of fractional-order D-PMSG model is constructed by affine transformation.On this basis,the fractional-order D-PMSG model is simulated under the condition of different orders and parameters,with the corresponding bifurcation diagram,power spectrum and phase diagram obtained.The dynamic characteristics of the system are analyzed in detail,with the performance characteristics of the system discussed.The relationship between the parameters and the order of the system is obtained when the system is out of chaos.These analytical results can provide a certain theoretical basis for the actual design,operation and control of the D-PMSG.

关 键 词：直驱式永磁同步风力发电机 分数阶 非线性动力学 数学建模 分岔理论 

分 类 号：TM341[电气工程—电机]