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变压器绕组振动特性的高精度求解与分析

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为高精度地分析变压器绕组的振动特性,提出了一种绕组轴向动力学模型与二级四阶Gauss隐式Runge-Kutta(GRK24)法相结合的求解方法.绕组轴向动力学建模采用"质量-弹簧-阻尼"简化模型,振动方程采用矩阵形式的GRK24(GRK24-M)法进行求解,位移、速度和加速度解能同时达到四阶精度.以一台50 kVA变压器绕组为例,验证了所提方法求解冲击载荷和电磁力载荷作用下绕组振动响应的有效性,并通过与Newmark法和HHT-α法求解结果对比表明了所提GRK24-M法的优势.
High-Accurate Solution and Analysis for Vibration Characteristics of Transformer Windings
To analyze the vibration characteristics of transformer windings with high accuracy,a solution approach combining the axial dynamic model of windings with the two-stage fourth-order Gauss implicit Runge Kutta(GRK24)method is developed.The simplified model of"mass-spring-damping"is adopted for the axial dynamics modeling of windings,and the vibration equation is solved by the matrix form GRK24(GRK24-M)method in which the displacement,velocity and acceleration solutions can reach fourth-order accuracy simultaneously.The windings structure of a 50 kVA transformer is taken as an example.The effectiveness of the proposed approach solving the windings vibration responses under the impact load and the electromagnetic force load is verified.The superiority of the proposed GRK24-M method is also illustrated by comparing the solution results with the Newmark method and the HHT-α method.

power transformerwindingsvibration characteristicsequations of motiontime integration

雷翔胜、余梦泽、王彦峰、王兴华、林刚、肖国锋、胡乐生、何娜萍

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广东电网有限责任公司电网规划研究中心,广州 510080

中国能源建设集团广东省电力设计研究院有限公司,广州 510663

电力变压器 绕组 振动特性 运动方程 时间积分

国家重点研发计划中国南方电网有限责任公司科技项目

2016YFB0901000037700KK52200002

2024

南方电网技术
南方电网科学研究所有限责任公司

南方电网技术

CSTPCD北大核心
影响因子:1.42
ISSN:1674-0629
年,卷(期):2024.18(4)
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