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含直驱风电机组的电力系统次同步振荡鲁棒阻尼控制
作者:
作者单位:

1.中国电力科学研究院有限公司,北京市 100192;2.新能源电力系统国家重点实验室(华北电力大学),北京市 102206

作者简介:

杨京(1994—),男,硕士研究生,主要研究方向:新能源电力系统稳定性分析与控制。E-mail:763034978@qq.com
王彤(1985—),女,通信作者,博士,副教授,主要研究方向:新能源电力系统稳定性分析与控制。E-mail:hdwangtong@126.com
毕经天(1989—),男,博士,现在博士后工作站进行研究,主要研究方向:新能源电力系统稳定性分析与控制。E-mail:bijingtian@139.com

通讯作者:

基金项目:

国家自然科学基金资助项目(51637005);中央高校基本科研业务费专项资金资助项目(2018MS006)。


Robust Damping Control of Subsynchronous Oscillation in Power System with Direct-drive Wind Turbines
Author:
Affiliation:

1.China Electric Power Research Institute, Beijing 100192, China;2.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (North China Electric Power University), Beijing 102206, China

Fund Project:

This work is supported by National Natural Science Foundation of China (No. 51637005) and Fundamental Research Funds for the Central Universities (No. 2018MS006).

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    摘要:

    风电功率波动会导致电力系统运行点变化,为有效提高次同步振荡阻尼控制的适应性,文中采用直驱风电机组附加控制的方法设计了一种次同步振荡鲁棒阻尼控制器。首先,基于状态空间模型利用含区域极点配置的混合H 2/H 控制方法抑制由随机扰动引起的电力系统次同步振荡。将不同运行点作为凸多面体的顶点构建凸多面体模型,以适应风电输出波动引起的系统运行点大范围变化,提高控制器的鲁棒性。然后,利用线性矩阵不等式求解状态反馈矩阵,设计次同步振荡鲁棒阻尼控制器。最后,利用接入2台直驱风电机组的4机2区系统作为测试系统进行时域仿真。仿真结果表明,基于凸多面体的鲁棒阻尼控制器不仅能够为系统次同步振荡模式提供足够的阻尼,并且在风电功率在较大范围内变化的情况下,控制器也具有较好的控制效果。

    Abstract:

    The fluctuation of wind power may lead to the change of operation point in power system. In order to effectively improve the adaptability of subsynchronous oscillation damping control, a subsynchronous oscillation robust damping controller is designed by using the additional control method of direct-drive wind turbines. Firstly, based on the linearized state space model, the mixed H 2/H control with regional pole placement is used to suppress the power system subsynchronous oscillation caused by random disturbance. The convex polytope model is constructed by using different operation points as the vertices of the convex polytope to adapt to the wide variation of system operation points caused by wind power output fluctuations and improve the robustness of the controller. Secondly, a linear matrix inequality is applied to solve the state feedback matrix and design a subsynchronous oscillation robust damping controller. Finally, a four-machine two-area system with two direct-drive wind turbines is used as the test system for time domain simulation. The simulation results show that the robust damping controller based on convex polytope can provide sufficient damping for the subsynchronous oscillation modes, and the controller also has good control effect when the outputs of wind power change over a wide range.

    表 1 系统振荡模式Table 1 Oscillation modes of system
    表 2 最大参与因子的状态变量Table 2 State variable with the maximum participation factor
    表 3 开环系统与闭环系统SSO特征值Table 3 Eigenvalues of SSO for open-loop system and closed-loop system
    图1 场景1下PMSG电流和无功功率Fig.1 Currents and reactive powers of PMSG in scenario 1
    图2 场景2下PMSG电流和无功功率Fig.2 Currents and reactive powers of PMSG in scenario 2
    图3 场景3下PMSG电流和无功功率Fig.3 Currents and reactive powers of PMSGs in scenario 3
    图4 场景4下PMSG电流和无功功率Fig.4 Currents and reactive powers of PMSGs in scenario 4
    图1 场景1下PMSG电流和无功功率Fig.1 Current and reactive power of PMSGs in scenario 1
    图2 场景2下PMSG电流和无功功率Fig.2 Current and reactive power of PMSGs in scenario 2
    图3 场景3下PMSG电流和无功功率Fig.3 Current and reactive power of PMSGs in scenario 3
    图4 场景4下PMSG电流和无功功率Fig.4 Current and reactive power of PMSGs in scenario 4
    图 直驱永磁同步发电机结构图Fig. Structure diagram of PMSG system
    图 区域极点配置Fig. Regional pole configuration
    图 含PMSG四机两区系统结构图Fig. Modified 4-machine 2-area system with two PMSGs
    图 控制器参数变化时的特征值轨迹Fig. The eigenvalues with different parameters of controller
    图 风机出力不同时的特征值轨迹Fig. The eigenvalues with different penetration of wind power generation
    图 全阶系统与降阶系统的多频率响应Fig. Multi-frequency response of the full order system and the reduced order system
    图 控制器框架示意图Fig. Schematic diagram of the controller frame
    图 原系统与凸多面体系统的多频率响应Fig. Multi-frequency response of the original system and the convex polytope system
    图 开环系统与闭环系统特征值Fig. The eigenvalues of open-loop system and closed-loop system
    图 控制器输出波形Fig. The output waveform of control
    表 4 Table 4
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引用本文

杨京,王彤,毕经天,等.含直驱风电机组的电力系统次同步振荡鲁棒阻尼控制[J].电力系统自动化,2020,44(3):56-65. DOI:10.7500/AEPS20190128009.
YANG Jing,WANG Tong,BI Jingtian,et al.Robust Damping Control of Subsynchronous Oscillation in Power System with Direct-drive Wind Turbines[J].Automation of Electric Power Systems,2020,44(3):56-65. DOI:10.7500/AEPS20190128009.

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  • 收稿日期:2019-01-28
  • 最后修改日期:2019-07-26
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  • 在线发布日期: 2020-02-14
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