基于状态矩阵和摄动理论的双馈风力发电机与同步机小扰动互作用机理

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摘要随着大规模双馈风力发电机的并网,研究双馈风力发电机与同步机间的小扰动互作用机理值得重视。为揭示该互作用机理,首先分析了双馈风力发电机端电压相角变化与转子侧矢量控制的关系;然后建立了风力发电机端电压相角变化和锁相环与电网电压角频率偏差的关系方程,在此基础上,基于单同步机单双馈风力发电机无穷大系统,建立了风力发电机锁相环与同步机功角耦合的状态矩阵,并采用摄动理论和模态分析研究了该状态矩阵对应模态间的耦合互作用,揭示了风力发电机锁相环模态与同步机功角模态间互作用的产生机理;最后,通过模态及其主导状态变量与参与因子的比较验证了分析结果的正确性。

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	毕天姝
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关键词 ：双馈风力发电机, 小扰动互作用, 状态矩阵, 摄动理论, 锁相环

Abstract：With the increasing applications of doubly-fed induction generators (DFIGs), the study on the mechanism of small signal dynamic interaction between DFIGs and synchronous generators becomes increasingly important. In order to reveal the interaction mechanism, in this paper, the relationship between the terminal voltage phase and rotor side vector control of DFIG is analyzed firstly. And then, the relation expression considering the variation of terminal voltage phase and the angular frequency deviation between the phase locked loop (PLL) of the DFIG and the power grid is established. On this basis, the state matrix that reflects the coupling property between the PLL of DFIG and the power angle of synchronous generator is established based on the system containing a single synchronous generator, an infinite bus, and a single DFIG. Furthermore, the coupling interaction between the modes of the state matrix is studied using the perturbation theories and the modal analysis method. Then the interaction mechanism between the oscillatory modes of the synchronous generator and the PLL is revealed. In the end, the correctness of the analysis is verified by the comparison of the oscillatory modes and their dominant state variables and participation factors.

Key words： Doubly-fed induction generator (DFIG) small-signal dynamic interaction state matrix perturbation theories phase-locked loop

收稿日期: 2015-07-01 出版日期: 2016-04-20

PACS:

TM712

基金资助:国家重点基础研究发展(973)计划(2012CB215206)和国家自然科学基金(51477050,51190103)资助项目。

作者简介: 毕天姝女,1973年生,教授,博士生导师,研究方向为电力系统保护与控制、故障诊断。E-mail:tsbi@ncepu.edu.cn;王清男,1989年生,博士研究生,研究方向为电力系统稳定分析与控制等。E-mail:carowangqing@sina.com(通信作者)

引用本文:

毕天姝, 王清, 薛安成, 夏德明. 基于状态矩阵和摄动理论的双馈风力发电机与同步机小扰动互作用机理[J]. 电工技术学报, 2016, 31(7): 126-135. Bi Tianshu, Wang Qing, Xue Ancheng, Xia Deming. The Mechanism of Small Signal Dynamic Interaction Between DFIG and Synchronous Generator Based on State Matrix and Perturbation Theories. Transactions of China Electrotechnical Society, 2016, 31(7): 126-135.

链接本文:

https://dgjsxb.ces-transaction.com/CN/Y2016/V31/I7/126

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