最小二乘法估算变压器绝缘件瑞利阻尼系数的可行性研究

王尚; 杨振元; 王威强; 李福鹏

doi:10.13433/j.cnki.1003-8728.20180002

最小二乘法估算变压器绝缘件瑞利阻尼系数的可行性研究

doi: 10.13433/j.cnki.1003-8728.20180002

王尚¹,
杨振元^2,3,
王威强^1, ,,
李福鹏¹

1.
山东大学机械工程学院, 济南 250061;
2.
山东大学电气工程学院, 济南 250061;
3.
国家电网山东电力设备有限公司, 济南 250000

基金项目:

国家电网科技项目（SGTYHT/14-JS-188）资助

详细信息

作者简介:
王尚(1994-),硕士研究生,研究方向为材料性能测试研究,1158302650@qq.com

通讯作者:
王威强,教授,博士,wqwang@sdu.edu.cn

计量
- 文章访问数: 260
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- PDF下载量: 16
- 被引次数: 0
出版历程
- 收稿日期: 2017-05-29
- 刊出日期: 2018-07-05

Feasibility Study on Estimating Rayleigh Damping Coefficients of Insolation used in Transforms by Least Square Method

1.
School of Mechanical Engineering, Shandong University, Ji'nan 250061, China;
2.
School of Electrical Engineering, Shandong University, Ji'nan 250061, China;
3.
State Grid Shandong Electric Co., Ltd., Ji'nan 250000, China

摘要

摘要: 从瑞利阻尼的基本概念出发，推导了瑞利阻尼的基本表达式，提出利用最小二乘法求解构件的瑞利阻尼系数，并验证其可行性。以变压器用层压木和层压纸板为例，对二者进行锤击试验，在优势频段之内，得到其主要模态，采用前人已有的三种瑞利阻尼系数确定方法及最小二乘法分别求得二者的瑞利阻尼系数，与最为经典的方法所得值进行对比。此外，利用有限元软件ABAQUS对层压木和层压纸板进行同一边界条件、不同阻尼系数的谐响应分析。结果表明：所有方法求得的瑞利阻尼系数，构件谐响应分析中位移响应曲线的趋势几乎一致，且最小二乘法中所取模态越多，误差越小。证明利用最小二乘法求解构件的瑞利阻尼系数是可行的。
- 瑞利阻尼系数 /
- 最小二乘法 /
- 锤击试验 /
- 谐响应分析
Abstract: Based on the basic concept of Rayleigh damping, the basic expression of Rayleigh damping is deduced. The Rayleigh damping coefficients of structural components can be calculated by the least square method and its feasibility is verified. The laminated wood and laminated paperboard used in transformers are taken as the example, their prominent modes are obtained in the dominant frequency bands by the hammering tests. The different Rayleigh damping coefficients of them were calculated by the three existing methods and the proposed least square method, and the results are compared with the those of classical method. In addition, the harmonic responses of laminated wood and laminated paperboard under the same boundary conditions and different damping coefficients have been carried out by FEM(Finite element method) with ABAQUS software. The results show that the Rayleigh damping coefficients obtained by all methods, and the trend of the displacement response of the harmonic response analysis are almost identical. The more modes are adopted in the least square method, the smaller the errors are. It is proved that calculating the Rayleigh damping coefficients of structural components by the least square method is feasible.
- Rayleigh damping coefficients /
- least square method /
- hammering test /
- harmonic response analysis

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参考文献(15)

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