基于多尺度法的多机非线性强迫振荡机理研究  

Mechanism of Multi-machine Nonlinear Forced Oscillation Based on Multi-scale Method

作　　者：甄星皓 李永刚[1] 纪璇[1] 李亚斌[1] 沙叶楠 周一辰[1] ZHEN Xinghao;LI Yonggang;JI Xuan;LI Yabin;SHA Yenan;ZHOU Yichen(State Key Laboratory of New Energy Power System,North China Electric Power University,Baoding 071003,China)

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),河北保定071003

出　　处：《智慧电力》2024年第5期52-59,共8页Smart Power

基　　金：国家自然科学基金资助项目(62303183);中央高校基本科研业务费专项资金资助(2022MS067)。

摘　　要：随着高比例新能源电网的发展,电力系统呈现出更明显的非线性特征,可以采用多尺度法展示二次非线性对多机系统强迫振荡的影响。首先,建立多机系统强迫振荡模型,将系统数学模型进行多次恒等变换并进行简化,与单机系统相比,多机系统有着更广泛的适用性。然后,利用多尺度法导出了非线性强迫振动稳态响应的幅频特性曲线和动态响应的近似一阶解析表达式,并分析关键参数对非线性强迫荡的影响。最后,以三机系统为例,验证了所提方法的准确性,并对由非线性引起的频率偏移和跳跃的现象做出了解释。With the development of high-proportion new energy power grid,the system presents more obvious nonlinear characteristics,and the multi-scale method can be used to demonstrate the influence of quadratic nonlinear on the forced oscillation of multi-machine system.Firstly,the forced oscillation model of multi-machine system is established,and the system mathematical model is simplified by multiple identical transformations.Compared with the single-machine system,the multi-machine system has wider applicability.Then,the amplitude-frequency characteristic curve of steady state response and the approximate first-order analytic expression of dynamic response of the nonlinear forced oscillation are derived by using the multi-scale method,and the influence of key parameters on the nonlinear forced oscillation is analyzed.Finally,a three-machine system is taken as an example to verify the accuracy of the proposed method,and the phenomena of frequency shift and jump caused by nonlinearity are explained.

关 键 词：强迫振荡 非线性 多尺度法 电力系统稳定性 

分 类 号：TM712[电气工程—电力系统及自动化]