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| Reduced Order Calculation Method of Steady Temperature Rise of Oil Immersed Power Transformer |
| Liu Gang1, Hu Wanjun1, Hao Shiyuan1, Liu Yunpeng1, Li Lin2 |
1. Hebei Provincial Key Laboratory of Power Transmission Equipment Security Defense North China Electric Power University Baoding 071003 China;
2. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Beijing 102206 China |
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Abstract In order to improve the efficiency problem of using finite element method to calculate the transient temperature rise of oil immersed power transformer windings, this paper proposes a calculation strategy that combines structure preserved property orthogonal decomposition (SPOD) with discrete empirical interpolation method (DEIM). Firstly, the article uses the least squares finite element method (LSFEM) and upwind finite element method (UFEM) to construct the control equation for calculating the transient temperature rise of transformer windings. The finite element method combined with LSFEM-UFEM can accurately obtain the flow field and temperature field distribution during the transient temperature rise change process of the winding; However, in practical engineering applications, the mesh size and number of nodes of the model are generally large, and using finite element method to solve faces the problem of high time cost. Therefore, in order to reduce the computational scale and improve computational efficiency, the article introduces a reduction method based on the characteristics of the control equation. The traditional POD method usually decomposes the entire dataset and only reflects the statistical characteristics of the dataset, However, the inability to preserve physical features results in low interpretability of the reduced order model. Therefore, this article adopts a reduced order calculation strategy of "data structure preservation" to improve the efficiency of solving finite element equations; At the same time, in order to improve the efficiency improvement of the intrinsic orthogonal decomposition method for nonlinear problems, the DEIM algorithm is combined to interpolate the nonlinear terms in the finite element equation, thereby reducing the time for forming the overall stiffness matrix at each step and further improving the overall computational efficiency. In order to verify the accuracy and efficiency of the algorithm proposed in the article, a single zone split turn winding heat transfer model was established and its transient heat transfer process was calculated. The results showed that the finite element reduced order calculation based on SPOD-DEIM can effectively improve the calculation efficiency while ensuring accuracy. Compared with the full order calculation results, the calculation errors of the flow field and temperature field are not more than 1.5%, and the calculation efficiency is increased by 5.1 times. At the same time, in order to fully demonstrate the value of SPOD-DEIM algorithm in engineering applications, the article built a temperature rise test platform based on 110 kV transformer windings, and established an eight zone split turn winding numerical calculation model to verify and discuss the accuracy, efficiency, and engineering application value of the algorithm. The calculation and experimental results show that in terms of accuracy, the transient whole process calculation error of reduced order calculation is less than 2.5% compared to full order calculation, and compared with experimental results, The error shall not exceed 5.41 K; In terms of efficiency, the entire process calculation time of reduced order calculation is 54.28 h, which increases the calculation efficiency to 10.57 times compared to full order calculation and 6.37 times compared to commercial simulation software Fluent. This fully demonstrates the efficiency and engineering application value of the algorithm proposed in this article.
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Received: 05 November 2022
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2024, Vol. 39 
