Two-Coincidence Condition of Resonance for Stator End Winding in Large Two-Pole Turbogenerator

doi:10.7652/xjtuxb201307015

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Two-Coincidence Condition of Resonance for Stator End Winding in Large Two-Pole Turbogenerator

更新时间：2025-07-09

- Two-Coincidence Condition of Resonance for Stator End Winding in Large Two-Pole Turbogenerator
- Vol. 47, Issue 7, Pages: 80-84+113(2013)
- 作者机构：
  
  广东电网公司电力科学研究院,广州,510080
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201307015
  CLC： O327;TM301.4
- Online First：10 July 2013，
  
  Published：2013
- 稿件说明：
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Two-Coincidence Condition of Resonance for Stator End Winding in Large Two-Pole Turbogenerator[J]. 2013, 47(7): 80-84+113.
DOI：

Two-Coincidence Condition of Resonance for Stator End Winding in Large Two-Pole Turbogenerator[J]. 2013, 47(7): 80-84+113. DOI： 10.7652/xjtuxb201307015.

摘要

为解决大型二极汽轮发电机定子端部绕组常出现的振动问题

建立了端部绕组的简化模型

采用有限元法计算了该结构的低阶模态

给出了端部绕组主振型的近似表达式; 基于磁拉力的空间分布

通过振型叠加法推导出了端部绕组强迫振动响应的计算公式。研究发现

大型发电机端部绕组只有同时满足2个条件——磁拉力频率等于或接近端部绕组固有频率

主振型的周向行波数等于发电机的极数

才可能发生共振

简称为端部绕组共振的二重点理论。根据二重点理论

当额定工作转速为3 000 r/min的二极发电机定子端部绕组发生共振时

可以调整端部绕组的固有频率使其避开100 Hz

也可以选择修改端部绕组的结构使其主振型中不再出现椭圆振型。

Abstract

To avoid usual vibration accidents of stator end winding in a large two-pole turbogenerator

a simplified model is established for the end wing

lower order modes of the structure are evaluated with finite element method

and approximate expressions of the main vibration modes are obtained. A formula for forced vibration response of the end winding to electric-magnetic excitation is derived by mode superposition. It is found that the resonance of end winding occurs only when the following two conditions are satisfied simultaneously:(1)the frequency of the electric-magnetic excitation equals to or approximates the natural frequency of the end winding;(2)the circumferential traveling-wave number of modes equals to the pole number of the generator. This is named as “two-coincidence condition” of resonance for end winding in large generators. According to the two-coincidence condition

one can choose adjusting the natural frequency of end winding far from 100 Hz

or modifying its structure to avoid the elliptical mode shape to prevent stator end winding of large two-pole turbogenerator with rating speed of 3 000 r/min from resonance.

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references

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