Analysis of Bifurcation Characteristics of Fractional-Order Direct Drive Permanent Magnet Synchronous Generator

IF 3.5 3区工程技术 Q3 ENERGY & FUELS

Energy Science & Engineering Pub Date : 2024-11-28 DOI:10.1002/ese3.1988

Wei Chen, Wentao Kou, Zhanhong Wei, Bo Wang, Qiangqiang Li

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引用次数: 0

Abstract

In this study, we establish a fractional-order direct drive permanent magnet synchronous wind turbines (DPMSG) model defined by Caputo based on the fractional calculus theory to overcome the singularity and limitations of integer-order DPMSG models. The path and characteristics of the DPMSG system entering the bifurcation and chaos caused by the internal parameter changes and external disturbances were analyzed. First, we established a nonlinear fractional-order mathematical model of a DPMSG system. Second, a bifurcation diagram was drawn using the maximum algorithm, and the path to chaos of the system at different orders was analyzed by combining its chaotic phase portrait and temporal sequence diagram. Subsequently, the impact of variations in the system order on the chaotic features of the original system was analyzed. The internal parameter adjustments of the system and changes in the system stability under external disturbances and other external excitations were analyzed. The influence of the system on its bifurcation phenomenon and chaotic behavior under multidimensional orders was determined, and it was observed that its path into chaos was opened by period-doubling bifurcation. Lastly, the dual-parameter stability domain of the system order corresponding to the internal parameters of the system was obtained by determining the parameter conditions for the critical stability of the system.

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本研究基于分数微积分理论，建立了 Caputo 定义的分数阶直接驱动永磁同步风力发电机（DPMSG）模型，克服了整数阶 DPMSG 模型的奇异性和局限性。分析了 DPMSG 系统因内部参数变化和外部扰动而进入分岔和混沌的路径和特征。首先，我们建立了 DPMSG 系统的非线性分数阶数学模型。其次，利用最大值算法绘制了分岔图，并结合系统的混沌相位图和时序图分析了系统在不同阶次进入混沌的路径。随后，分析了系统阶数变化对原系统混沌特征的影响。分析了系统内部参数的调整以及在外部干扰和其他外部激励下系统稳定性的变化。确定了系统在多维阶次下的分岔现象和混沌行为对其的影响，并观察到其进入混沌的路径是通过周期加倍分岔打开的。最后，通过确定系统临界稳定性的参数条件，得到了与系统内部参数相对应的系统阶次双参数稳定域。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Energy Science & Engineering Engineering-Safety, Risk, Reliability and Quality

CiteScore

6.80

自引率

7.90%

发文量

298

审稿时长

11 weeks

期刊介绍： Energy Science & Engineering is a peer reviewed, open access journal dedicated to fundamental and applied research on energy and supply and use. Published as a co-operative venture of Wiley and SCI (Society of Chemical Industry), the journal offers authors a fast route to publication and the ability to share their research with the widest possible audience of scientists, professionals and other interested people across the globe. Securing an affordable and low carbon energy supply is a critical challenge of the 21st century and the solutions will require collaboration between scientists and engineers worldwide. This new journal aims to facilitate collaboration and spark innovation in energy research and development. Due to the importance of this topic to society and economic development the journal will give priority to quality research papers that are accessible to a broad readership and discuss sustainable, state-of-the art approaches to shaping the future of energy. This multidisciplinary journal will appeal to all researchers and professionals working in any area of energy in academia, industry or government, including scientists, engineers, consultants, policy-makers, government officials, economists and corporate organisations.