二次非线性电力系统强迫振荡的初步研究
Preliminary Study on Forced Oscillation of Power System with Quadratic Nonlinearity
摘要：
强迫振荡是严重威胁电力系统稳定性的一个重要问题。其机理主要通过线性模型进行研究。然而，FO幅度正在增加，例如，北欧和美国西部的FO，可以刺激电力系统的非线性。因此，本文将非线性FO机制分析。采用多尺度技术求解强迫振动方程，以处理二次非线性。导出了幅频特性曲线和一阶近似表达式。通过与线性模型的比较，发现了非线性引起的频偏和跳变现象，并进一步分析了这种现象。本文对电力系统的非线性故障观测器进行了初步的研究，更多的特性有待进一步分析。
英文摘要：
Forced oscillation (FO) is a significant concern threating the power system stability. Its mechanisms are mostly studied via linear models. However, FO amplitude is increasing, e.g., Nordic and Western American FOs, which can stimulate power system nonlinearity. Hence, this paper incorporates nonlinearity in FO mechanism analysis. The multi-scale technique is employed in solving the forced oscillation equation to handle the quadratic nonlinearity. The amplitude-frequency characteristic curves and first-order approximate expressions are derived. The frequency deviation and jumping phenomenon caused by nonlinearity are discovered and further analyzed by comparing with linear models. This paper provides a preliminary research for nonlinear FOs of power system, and more characteristics should be further analysis in the near future.
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