SOUFVM和SUFEM混合计算方法与油浸式电力变压器绕组流热耦合分析OA
The SOUFVM and SUFEM Hybrid Computational Method for Flow-Heat Coupling Analysis of Oil-Immersed Power Transformer Windings
油浸式电力变压器绕组温升研究对于保障电力系统的安全运行具有重要意义.针对经典Galerkin有限元法在求解对流扩散方程时存在的非物理振荡,以及基于结构化交错网格的有限体积法在处理流固耦合分界面时计算复杂度高的问题,该文提出了一种将二阶迎风有限体积法(SOUFVM)与流线迎风有限元法(SUFEM)结合的流热耦合计算方法.为了避免交错网格中的额外插值操作,采用基于结构化同位网格的二阶迎风有限体积法求解流场控制方程,以获得油流速度分布.同时,为了有效避免传统有限体积法中因确保热流密度在流固耦合界面的连续性而需单独处理分界面的问题,采用流线迎风有限元法求解油流与绕组耦合传热的统一温度场方程,以获得温升分布.以一台额定容量为 321.1 MV·A,额定电压为 530/√3 kV 的油浸式电力变压器为研究对象,建立二维单分区不分匝绕组仿真模型,并采用所提方法对其油流与温升分布进行计算.将计算结果与一阶迎风有限体积法和伽辽金有限元法相结合(FOUFVM-GFEM)的方法及Fluent软件计算结果进行对比验证.结果表明,该方法在数值精度上优于FOUFVM-GFEM方法;与Fluent结果相比,油流速度峰值的绝对误差为 0.000 8 m/s,相对误差为 1.38%;热点温度的绝对误差为2.06 K,相对误差为 0.6%.总体而言,该方法的相对误差均控制在 2%以内,充分验证了其在油流与温升计算中的有效性,具有较高的工程应用价值.
With the continuous development of power systems,oil-immersed power transformers,as key power equipment,are experiencing rising winding temperatures,which has become a core factor affecting their safe and stable operation.Studies show that excessively high hotspot temperatures in windings can directly cause transformer failures.Therefore,accurately calculating the windings'temperature distribution and hotspot temperatures is crucial.Traditional temperature-rise calculation methods often struggle to balance numerical accuracy,stability,and computational complexity when dealing with the coupled,complex flow and temperature fields inside transformers. Combined with the second-order upwind finite volume method(SOUFVM)and the streamline upwind finite element method(SUFEM),this paper proposes a coupled flow-heat calculation method to eliminate the non-physical oscillations arising from the classical Galerkin finite element method when solving convection-diffusion equations.To avoid additional interpolation operations in staggered grids,the second-order upwind finite-volume method on structured collocated grids is used to solve the flow-field control equations,thereby obtaining the oil flow velocity distribution.The streamline upwind finite element method is employed to solve the unified temperature field equation for oil flow and winding heat transfer,thereby obtaining the temperature rise distribution.The proposed coupling calculation method is applied to a two-dimensional single-region winding simulation model of an oil-immersed power transformer,with a rated capacity of 321.1 MV·A and a rated voltage of 530/√3 kV.The distributions of oil flow and temperature rise are calculated.The results indicate that the proposed method achieves higher numerical accuracy than the Galerkin finite element method.Compared with fluent software,the absolute errors(relative errors)for the peak oil flow velocity and the hotspot temperature are 0.000 8 m/s(1.38%)and 2.06 K(0.6%),respectively.Overall,the relative error of this method remains within 2%. In summary,the coupled flow-heat calculation method proposed in this paper integrates the advantages of finite volume and finite element methods,overcoming the shortcomings of existing numerical methods in handling complex geometries and flow-structure coupling problems.This method effectively solves the problem of calculating temperature rise in transformer windings and also provides strong technical support for other complex multiphysics coupling problems.With the continuous advancement of computer technology,this method has broad application prospects in the multiphysics simulation software for power equipment.It is expected to play an essential role in promoting the intelligent and accurate development of high-voltage power equipment simulation software.
辛纪威;李琳;刘刚
新能源电力系统全国重点实验室(华北电力大学) 北京 102206新能源电力系统全国重点实验室(华北电力大学) 北京 102206河北省输变电设备安全防御重点实验室(华北电力大学) 保定 071003
信息技术与安全科学
油浸式电力变压器绕组温升有限体积法有限元法流场温度场
Oil-immersed power transformerwinding temperature risefinite volume methodfinite element methodflow fieldtemperature field
《电工技术学报》 2026 (6)
1844-1859,16
国家重点研发计划资助项目(2021YFB2401700).
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