Transient Temperature Rise Calculation of Oil Immersed Transformer Winding Based on Sub Cyclic Adaptive Staggered Time Matching Algorithm
Liu Gang1, Hao Shiyuan1, Hu Wanjun1, 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
Abstract：For the time-matching problem of two or more multiple physical fields, the traditional idea generally considers that the physical fields are solved by coupling with fixed equal time steps. This direct coupling algorithm is named conventional serial staggered (CSS), but there are two obvious problems in this time matching method, namely, step size adjustment and coupling point selection. Therefore, this paper proposes a time-matching algorithm based on Sub cyclic adaptive staggered (SCAS). Firstly, in step size adjustment, the Adaptive Time Stepping algorithm (ATS) is added, and the difference of approximate solutions with different accuracy is used as the basis for time step adjustment. At the same time, for nonlinear problems, the Heuristic time stepping method (HTS) is combined to set the number of iterations as the basis for nonlinear discrimination, which solves the problem that the step size cannot be adjusted in real time under strong nonlinear problems. It can obtain a more appropriate step size each time according to the changing trend of the physical field under the allowable error. The introduction of the ATS-HTS hybrid variable step size method reduces the number of computing time steps greatly. Secondly, for the problem of coupling point selection, this paper proposes a SCAS time-matching algorithm based on the CSS time-matching algorithm, which uses an adaptive scheme to determine the calculation time window and predetermined coupling points and introduces an exponential smoothing method to ensure its accuracy. Finally, to verify the effectiveness of the proposed method, a two-dimensional transient single-zone split turn winding model is established. Compared with the traditional CSS algorithm, in terms of accuracy, the average relative error of the flow field of the SCAS algorithm is 0.25%, and the average relative error of the temperature field is 0.45%, which is within the acceptable error range. In terms of efficiency, after combining coupling point selection and step size adaptive selection, the SCAS algorithm has further reduced the number of coupling times and computing time steps, and its overall computing efficiency is nearly 20 times higher than the CSS algorithm. At the same time, to further illustrate the value of the proposed algorithm in engineering practice, this paper has built a temperature rise experimental platform based on the 110 kV transformer winding model and applied the SCAS time matching algorithm to the heat transfer model. The calculation and experimental results show that the maximum absolute error between the SCAS algorithm and the experiment when reaching the steady state occurs at the temperature measuring point No.4 of the 30-wire cakes, which is 2.7 K, because the temperature rise experiment is affected by several uncontrollable factors. Therefore, the error is within the acceptable range. The computational efficiency of the algorithm proposed in this paper is about 46 times higher than that of the traditional algorithm, and the number of computational steps is about 1/47 of the traditional algorithm, which greatly reduces computational redundancy.
刘刚, 郝世缘, 胡万君, 刘云鹏, 李琳. 基于子循环自适应串行交错时间匹配算法的油浸式变压器绕组瞬态温升计算[J]. 电工技术学报, 2024, 39(4): 1185-1197.
Liu Gang, Hao Shiyuan, Hu Wanjun, Liu Yunpeng, Li Lin. Transient Temperature Rise Calculation of Oil Immersed Transformer Winding Based on Sub Cyclic Adaptive Staggered Time Matching Algorithm. Transactions of China Electrotechnical Society, 2024, 39(4): 1185-1197.
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