基于直接间断Galerkin方法的油浸式变压器绕组及铁芯温度场计算

Calculation of temperature field of oil-immersed transformer winding and iron core based on direct discontinuous Galerkin method

在研究油浸式变压器绕组、铁芯及四周温度场分布的问题上,提出通过直接间断有限元方法(直接间断Galerkin(DG)方法)计算其温度场。该方法不用引入辅助变量,可直接在热传导方程分部积分后得到的弱形式上构建数值流量,就可以得出直接间断Galerkin格式,因而可使计算过程简化。在变压器功率为1.3倍时,误差范围在0.2℃以内,完全可以满足工程的实际需要,计算的结果与IEEE模型的计算数据对比,结果表明与之相符。证明直接间断有限元方法在计算油浸式变压器绕组、铁芯及周围温度场分布是一种高效准确的数值方法。

In the study of oil-immersed transformer windings,iron cores and the surrounding temperature field distribution,the direct discontinuous finite element method(direct discontinuous Galerkin(DG)method)is proposed to calculate the temperature field.The method does not introduce auxiliary variables,and can construct the numerical flow directly on the weak form obtained after the integral of the heat conduction equation,and the direct discontinuous Galerkin format can be obtained,thus simplifying the calculation process.When the power of the transformer is 1.3 times,the error range is within 0.2℃,which can fully meet the actual needs of the project.The comparison between the calculated results and the calculated data of the IEEE model shows that it is consistent with it.It is proved that the direct discontinuous finite element method is an efficient and accurate numerical method for calculating the oil-immersed transformer winding,core and surrounding temperature field distribution.