考虑输入变量随机性的换流变压器铁心模态频率计算及其方差分析  

Modal Frequency Calculation of the Converter Transformer's Core Considering the Randomness of Input Variables and Analysis of Variance

作　　者：刘俊华[1] 罗隆福[1] 陈跃辉[2] 周冠东[2] 付颖[3] 许加柱[1] 梅念[3] 赵亮[1] 项锦文 

机构地区：[1]国家电能变换与控制工程技术研究中心(湖南大学),湖南省长沙市410082 [2]国家电网湖南省电力公司,湖南省长沙市410007 [3]国网北京经济技术研究院,北京市昌平区102209

出　　处：《中国电机工程学报》2016年第5期1430-1437,共8页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51077044;51077045);国家电网重大科技专项(5216A014007V)~~

摘　　要：当结构的某一模态频率与其受迫力的频率相接近时,会引起结构的共振,因此需科学地计算结构的模态频率;文中以一换流变压器铁心为研究对象进行模态仿真,考虑铁心材料属性和边界条件这些输入变量的随机不确定性,经中心合成设计抽样法获得其输入变量的样本集,再通过响应曲面模型建立起各阶模态频率与各输入变量间的函数表达式,用该函数代替铁心模态频率仿真结果,通过蒙特卡罗模拟法获得各阶模态频率的统计参数,以及其概率灵敏度分析,并对该响应曲面模型函数进行方差分析。When a certain modal frequency of the structure is close to the driving force＇s frequency, the structural resonance will happen. It is necessary to scientifically calculate the modal frequency of the structure. With a converter transformer core as the research object of the modal simulation, considering the random uncertainty of the core＇s material properties and the boundary condition, a sample set of the input variables was obtained by using of the central composite design method. The response surface model was chosen to establish the function expression between modal frequencies and input variables, which is used as a surrogate of the modal frequency simulation result of the core. Monte-Carlo method was used to obtain the statistical characteristic of the modal frequency, and probability sensitivity analysis was performed, and the variance analysis for the response surface model function was done.

关 键 词：换流变压器 模态频率 随机不确定性 响应曲面模型 蒙特卡罗 统计参数 方差分析 

分 类 号：TM401[电气工程—电器]