Complete Large-signal Stability Analysis of DC Distribution Network via Brayton-Moser’s Mixed Potential Theory
Complete Large-signal Stability Analysis of DC Distribution Network via Brayton-Moser’s Mixed Potential Theory
复制标题
利用 Brayton-Moser 混合势理论完成直流配电网大信号稳定性分析
DOI：
10.1109/tsg.2022.3198496
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Yonghao Gui
中科院分区：
文献类型：
--
作者：
Zhangjie Liu;Xin Ge;Mei Su;Hua Han;Wenjing Xiong;Yonghao Gui
对于非线性RLC网络，Brayton和Moser提出了时间导数为负半定的广义混合势函数（GMPF）。然后，RLC网络的平衡是稳定的，如果它是GMPF的局部极小值。因此，Brayton-Moser 2019;的混合电位理论是一种强有力的方法论，在直流微网稳定性分析中得到了广泛的应用。然而，现有文献中的大多数结果都是有缺陷和不完整的。利用Brayton-Moser混合电位理论对含恒功率负荷的直流配电网进行了完全稳定性分析。首先，强调了这一理论中经常被误解的几个关键点。其次，基于Brayton-Moser混合势理论，提出了平衡点为局部极小点的条件。证明了所有的低压平衡点都是不稳定的，只有高压平衡点是可镇定的，并给出了完全稳定的条件。第三，提出了Brayton-Moser 2019;混合势理论在直流微电网稳定性问题上尚未解决的问题。最后，硬件在环（HIL）实验结果验证了所提出的稳定性条件。
For a nonlinear RLC network, Brayton and Moser have proposed the so-called general mixed potential function (GMPF) whose time-derivative is negative semi-definite. Then, the equilibrium of the RLC network is stable if it is a local minimum of the GMPF. Therefore, Brayton-Moser2019;s mixed potential theory is a powerful methodology, which has been widely used in the stability analysis of DC microgrid. However, most of the results in existing references are flawed and incomplete. This paper carries out the complete stability analysis of the DC distribution network with constant power loads via Brayton-Moser2019;s mixed potential theory. Firstly, several critical points in this theory that are often mistaken are emphasized. Secondly, based on Brayton-Moser2019;s mixed potential theory, the condition that the equilibrium is a local minimum is proposed. All the low-voltage equilibria are proved to be unstable, and only the high-voltage equilibrium can be stabilizable and the complete stability conditions are provided. Thirdly, some unsolved problems about the stability issue of DC microgrid via Brayton-Moser2019;s mixed potential theory are presented. Finally, hardware-in-the-loop (HIL) experimental results verify the proposed stability conditions.