Approximate Kron Reduction Methods for Electrical Networks With Applications to Plug-and-Play Control of AC Islanded Microgrids
Approximate Kron Reduction Methods for Electrical Networks With Applications to Plug-and-Play Control of AC Islanded Microgrids
复制标题
电力网络的近似 Kron 缩减方法及其在交流孤岛微电网即插即用控制中的应用
DOI：
10.1109/tcst.2018.2863645
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发表时间：
2019
影响因子：
4.8
通讯作者：
G. Ferrari
中科院分区：
文献类型：
--
作者：
A. Floriduz;Michele Tucci;S. Riverso;G. Ferrari
Kron归约（KR）是一种分析电网络的方法，将其替换为具有更少节点但目标顶点处电压和电流的终端行为相同的更简单的电路。然而，现有的瞬时KR的方法，可能无法保留的结构，表示电力线的传递函数。因此，即使原始线路是无源RLC电路，简化线路也可能具有与物理上可实现的无源系统不对应的传递函数。为了克服这一缺点，在本文中，我们专注于$RL$线模型，并提出了两个近似KR算法生产减少线的一阶传递函数，并能够准确地代表电信号的渐近行为，即使它们是不平衡的。然后，我们展示了如何将这些KR方法应用于AC孤岛微电网的分散式电压和频率控制器的设计。值得注意的是，我们专注于一些作者以前提出的即插即用算法，假设负载连接到逆变器输出，并将其推广到负载出现在任意位置的网络。理论结果进行了验证与数值例子和KR的应用程序设计的PPENDIX控制器进行评估，通过21节点微电网的仿真。
Kron reduction (KR) is a methodology for analyzing an electrical network by replacing it with a simpler circuit having less nodes but the same terminal behavior of voltages and currents at target vertices. Existing approaches to instantaneous KR, however, can fail in preserving the structure of transfer functions representing power lines. Therefore, even if the original lines are passive $RLC$ circuits, reduced lines might have transfer functions that do not correspond to a physically realizable passive system. To overcome this drawback, in this paper we focus on $RL$ line models and propose two approximate KR algorithms producing reduced lines with the first-order transfer functions and capable of representing exactly the asymptotic behavior of electric signals, even if they are unbalanced. Then, we show how to apply these KR methods to the design of decentralized voltage and frequency controllers for AC islanded microgrids. Notably, we focus on the plug-and-play algorithm previously proposed by some of the authors, which assumes loads connected to the inverter outputs, and generalize it to networks where loads appear in arbitrary positions. Theoretical results are validated with numerical examples and the application of KR for designing PnP controllers is assessed through a simulation on a 21-bus microgrid.