Ultimate boundedness and regions of attraction of frequency droop controlled microgrids with secondary control loops
Ultimate boundedness and regions of attraction of frequency droop controlled microgrids with secondary control loops
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DOI：
10.1016/j.automatica.2016.12.021
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发表时间：
2017-07
期刊：
影响因子：
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通讯作者：
Rahmat Heidari;M. Seron;J. Braslavsky
中科院分区：
文献类型：
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作者：
Rahmat Heidari;M. Seron;J. Braslavsky
在本文中，我们研究的频率控制问题的理论特性，在基于逆变器的微电网与主要和分散/分布式二次控制回路。这些微电网的稳定性一直是最近许多研究的主题。传统的基于标准分层控制的方法依赖于主控制回路和次控制回路之间的时标分离来显示平衡点的局部稳定性。在本文中，我们表明，（i）频率调节可以确保不假设时间尺度分离，（ii）最终有界的轨迹内的吸引力区域内开始的条件下，保证在每个逆变器总线的需求和发电之间的功率不匹配。的吸引区域的估计获得的状态轨迹的最终边界集，可以确定由递归迭代的非线性映射。推导出的结果提供了一个证书的整体稳定性和性能的控制微电网。
In this paper we study theoretical properties of the frequency control problem in inverter-based microgrids with primary and decentralised/distributed secondary control loops. Stability of these microgrids has been the subject of a number of recent studies. Conventional approaches based on standard hierarchical control rely on time-scale separation between primary and secondary control loops to show local stability of equilibria. In this paper we show that (i) frequency regulation can be ensured without assuming time-scale separation and, (ii) ultimate boundedness of the trajectories starting inside a region of attraction is guaranteed under a condition on the power mismatch between demand and generation at each inverter bus. An estimate of the region of attraction is obtained from which an ultimate bound set for the state trajectories can be determined by recursive iterations of a nonlinear mapping. The derived results provide a certificate of the overall stability and performance of the controlled microgrid.