分布式电源接入的微电网小干扰鲁棒稳定判据与参数安全域自适应覆盖算法

马千里; 魏韡; 毛航银; 梅生伟

doi:10.16511/j.cnki.qhdxxb.2021.21.016

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清华大学学报（自然科学版） ›› 2021, Vol. 61 ›› Issue (5) : 385-394. DOI: 10.16511/j.cnki.qhdxxb.2021.21.016

小干扰稳定性

分布式电源接入的微电网小干扰鲁棒稳定判据与参数安全域自适应覆盖算法

马千里¹, 魏韡¹, 毛航银², 梅生伟¹

作者信息 +

A robust small-signal stability criterion for microgrid with distributed energy and an adaptive cover algorithm for the parametric security region

MA Qianli¹, WEI Wei¹, MAO Hangyin², MEI Shengwei¹

Author information +

文章历史 +

摘要

随着微电网中分布式电源和电力电子装置占比的不断增长，多源微电网稳定性受到诸多控制参数的影响，给系统安全稳定运行带来新的挑战。针对数学模型中含不确定参数的线性定常系统，当参数在给定区间内变化时，该文给出了一种基于Kronecker矩阵和Kronecker相关矩阵的鲁棒稳定性判据，估算保证系统小干扰稳定的参数最大变化范围，称为鲁棒稳定半径。进一步对参数空间进行采样，对于稳定的采样参数，采用鲁棒稳定半径估算其周围保证小干扰稳定的邻域；对于不稳定的采样参数，采用参数灵敏度估算其周围小干扰失稳的邻域。设计了一种自适应覆盖算法，通过超立方覆盖能够保证系统小干扰稳定的参数集合，该集合称为小干扰安全域（small-signal stability region，SSSR）。该算法可以自动调整超立方体的大小，避免了冗余的搜索计算，提高了计算效率。采用包含旋转发电机和逆变器电源的微电网算例验证了该算法的有效性。该算法对微电网控制参数设计和安全稳定分析提供了有益参考。

Abstract

With the increasing proportion of distributed energy sources and power electronic devices in microgrids, the stability of multisource microgrids is influenced by the control parameters, thereby bringing great challenges to the safe and stable operation of a system. Aiming at a linear time-invariant system with uncertain parameters that change in given intervals, this paper gives a robust stability criterion based on the Kronecker matrix and Kronecker-related matrix to estimate the maximum variation range of the parameters that ensure a small-signal stability of the system, called the robust stability radius. The parameter space is further sampled. For stable parameters, the robust stability radius is used to estimate the neighborhood that ensures the small-signal stability of the system, and for unstable parameters, parameter sensitivity is used to estimate the neighborhood that is not small-signal stable. This paper proposes an adaptive coverage algorithm that can acquire a set of parameters that guarantees system stability through a hypercube coverage, called the small-signal stability region (SSSR). The proposed algorithm can adjust the size of the hypercube adaptively, thereby avoiding redundant searching calculations and improving calculation efficiency. A case study on a microgrid with generator-based and inverter-based energy resources is used to verify the effectiveness of the proposed algorithm. This algorithm can provide useful information for microgrid control parameter design and stability analysis.

导出引用

马千里, 魏韡, 毛航银, 梅生伟. 分布式电源接入的微电网小干扰鲁棒稳定判据与参数安全域自适应覆盖算法[J]. 清华大学学报（自然科学版）. 2021, 61(5): 385-394 https://doi.org/10.16511/j.cnki.qhdxxb.2021.21.016

MA Qianli, WEI Wei, MAO Hangyin, MEI Shengwei. A robust small-signal stability criterion for microgrid with distributed energy and an adaptive cover algorithm for the parametric security region[J]. Journal of Tsinghua University(Science and Technology). 2021, 61(5): 385-394 https://doi.org/10.16511/j.cnki.qhdxxb.2021.21.016

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