胡万君, 刘刚, 朱章宸, 刘云鹏, 王文浩. 油浸式电力变压器绕组稳态温升降阶计算方法研究[J]. 中国电机工程学报, 2023, 43(16): 6505-6516. DOI: 10.13334/j.0258-8013.pcsee.220845
引用本文: 胡万君, 刘刚, 朱章宸, 刘云鹏, 王文浩. 油浸式电力变压器绕组稳态温升降阶计算方法研究[J]. 中国电机工程学报, 2023, 43(16): 6505-6516. DOI: 10.13334/j.0258-8013.pcsee.220845
HU Wanjun, LIU Gang, ZHU Zhangchen, LIU Yunpeng, WANG Wenhao. Reduced Order Calculation Method of Steady Temperature Rise of Oil Immersed Power Transformer[J]. Proceedings of the CSEE, 2023, 43(16): 6505-6516. DOI: 10.13334/j.0258-8013.pcsee.220845
Citation: HU Wanjun, LIU Gang, ZHU Zhangchen, LIU Yunpeng, WANG Wenhao. Reduced Order Calculation Method of Steady Temperature Rise of Oil Immersed Power Transformer[J]. Proceedings of the CSEE, 2023, 43(16): 6505-6516. DOI: 10.13334/j.0258-8013.pcsee.220845

油浸式电力变压器绕组稳态温升降阶计算方法研究

Reduced Order Calculation Method of Steady Temperature Rise of Oil Immersed Power Transformer

  • 摘要: 大型电力设备的数字化研究是构建新型电力系统的基础。为了实现在数字化平台中针对不同工况下的油浸式电力变压器绕组稳态温升的精准快速计算,该文提出一种基于本征正交分解方法(proper orthogonal decomposition,POD)与离散经验插值方法(discrete empirical interpolation method,DEIM)的稳态温升降阶计算方法。首先,采用最小二乘有限元法与迎风有限元法建立绕组稳态流固耦合传热计算的有限元全阶模型;其次,基于本征正交分解算法与离散经验插值算法基本原理,建立适用于绕组温升计算的降阶模型;最后,构建二维变压器分匝绕组传热模型,并采用该模型对降阶算法在稳态传热计算中的精度、计算效率以及鲁棒性进行验证分析。数值实验结果表明,所提稳态温升降阶计算方法有很高的计算精度,且计算效率较全阶计算模型提高约40倍左右。同时,对于样本空间范围之外一定区域内的工况,降阶模型仍然具有很高的精度,流场与温度场的平均相对误差均小于5%,说明了降阶模型具有非常优秀的鲁棒性,能够承受一定程度的环境扰动,该算法能够为大型电力设备的数字化提供参考。

     

    Abstract: The digital research of large power equipment is the basis of building a new power system. In order to realize the accurate calculation of transformer winding temperature rise and fall under different steady-state conditions, a method based on discrete orthogonal interpolation is proposed in this paper. First, the least square finite element method and streamline upwind finite element method are used to establish the finite element full order model for the calculation of fluid solid coupling heat transfer in windings. Secondly, based on the basic principle of POD and DEIM algorithm and the characteristics of full order finite element equation, a reduced order model suitable for winding temperature rise calculation is established. Finally, a two-dimensional transformer winding model is constructed, and the model is used to verify and analyze the accuracy, calculation efficiency and robustness of the reduced order algorithm in steady-state heat transfer calculation. The experimental results show that the calculation method of steady-state temperature rise and fall of transformer winding based on POD-DEIM proposed in this paper has quite high calculation accuracy, and the calculation efficiency is about 40 times higher than that of the full-order calculation model. At the same time, for the working conditions outside the sample space, the reduced order model still has high accuracy, and the average relative error of flow field and temperature field is less than 5%, indicating that the reduced order model has excellent robustness, and the algorithm can provide some development ideas for the digital construction of large-scale power equipment.

     

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