A Fast Calculation Method for Transient Temperature Rise of Oil Immersed Transformer Windings Driven by Fusion of Order Reduction Technology and Monitoring Point Data
Liu Gang1,2, Hu Wanjun1, Liu Yunpeng1,2, Wu Weige3, 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; 3. Hebei Provincial Key Laboratory of Electromagnetic & Structural Performance of Power Transmission and Transformation Equipment Baoding Tianwei Baobian Electric Co. Ltd Baoding 071056 China
Abstract：In order to improve the calculation efficiency of transient temperature rise in oil immersed power transformer windings, order reduction technology is one of the most effective methods in current research. This paper considers fully utilizing the order reduction characteristics of POD method and proposes a calculation method that uses temperature information from several discrete monitoring points in the field to quickly invert the physical field. Firstly, the article derives the reduced expression of the full order temperature field of transformers based on the POD method, and on this basis, establishes the relationship between discrete monitoring points and the temperature distribution in the entire field. In this method, the POD modal matrix can be obtained through a single calculation of the snapshot matrix, the modal coefficients are obtained through the temperature information of discrete monitoring points, and the temperature distribution of the winding at each step in the transient process can be obtained by multiplying the above two on this basis. Due to the absence of complex nonlinear calculations and large-scale equation iteration processes, this method theoretically has high computational efficiency. At the same time, in order to ensure the accuracy of temperature field inversion, the selection of monitoring point positions within the field is crucial. Therefore, in order to improve computational accuracy, this paper introduces a discrete point selection strategy based on column principal component QR decomposition. Relevant research results show that using this method for temperature inversion in the entire field has a good upper limit of error. In order to verify the correctness of the method proposed in this article, based on the basic structure of transformer cake windings, an eight zone winding numerical calculation model and corresponding temperature rise test platform were established. The performance of the method was discussed through numerical simulation and experimental results. The relevant results showed that the maximum average calculation deviation of the method proposed in this article in numerical simulation was only 1.03 K, The maximum average relative error does not exceed 5%, the calculation accuracy is within a reasonable range, and the calculation time is only 0.18 s, which has achieved a higher efficiency improvement compared to full order calculations; In the experimental analysis, the maximum error between the calculation results of the method proposed in this article and the measurement results at each time point does not exceed 4.67 K, and the average error of each measurement line cake does not exceed 1.02 K, which is within an acceptable range in engineering. Meanwhile, the algorithm only takes 3.40 s to calculate the corresponding winding temperature field at the corresponding time, which is much shorter than the calculation time of current mainstream numerical methods.
刘刚, 胡万君, 刘云鹏, 武卫革, 李琳. 降阶技术与监测点数据融合驱动的油浸式变压器绕组瞬态温升快速计算方法[J]. 电工技术学报, 2024, 39(19): 6162-6174.
Liu Gang, Hu Wanjun, Liu Yunpeng, Wu Weige, Li Lin. A Fast Calculation Method for Transient Temperature Rise of Oil Immersed Transformer Windings Driven by Fusion of Order Reduction Technology and Monitoring Point Data. Transactions of China Electrotechnical Society, 2024, 39(19): 6162-6174.
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