电工技术学报  2024, Vol. 39 Issue (4): 1185-1197    DOI: 10.19595/j.cnki.1000-6753.tces.222137
高电压与放电 |
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
刘刚1, 郝世缘1, 胡万君1, 刘云鹏1, 李琳2
1.华北电力大学河北省输变电设备安全防御重点实验室 保定 071003;
2.新能源电力系统国家重点实验室(华北电力大学) 北京 102206
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
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摘要 针对传统算法存在的步长调整及耦合点选择问题,该文提出基于子循环自适应串行交错(SCAS)的时间匹配算法。首先,在步长调整方面,通过加入自适应(ATS)-启发式(HTS)混合变步长算法,解决步长无法实时调整的问题;然后,针对耦合点选择问题,该文在传统常规串行交错(CSS)时间匹配算法及现有改进方案子循环常规串行交错(SCSS)的基础上,提出SCAS时间匹配算法,采用自适应方案确定计算时间窗及预定耦合点,并引入指数平滑法对其精度进行保证;最后,该文基于110 kV油浸式电力变压器建立二维瞬态单分区分匝绕组模型,并将所提算法与其他传统方法进行对比分析。结果表明:在精度方面,与传统CSS算法相比SCAS算法的流场及温度场最大平均相对误差均不超过0.45%,在可接受误差范围内;在效率方面,SCAS算法总体计算效率较CSS算法提高了近20倍。同时,为了说明所提算法的工程价值,该文搭建基于110 kV变压器绕组模型的温升实验平台,将SCAS时间匹配算法应用于该模型中,实验结果表明:在精度方面,SCAS算法与实验达到稳态时最大绝对误差为2.7 K;在计算效率上,本文所提算法的计算效率较传统算法提升约46倍,计算步数约为传统的1/47,减少了计算冗余。
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刘刚
郝世缘
胡万君
刘云鹏
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关键词 子循环自适应串行交错混合变步长二维瞬态流热耦合问题快速计算方法温升实验    
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.
Key wordsSub-cyclic adaptive staggered    mixed variable time step    thermal coupling problem of two dimensional transient flow    fast calculation method    temperature rise experiment   
收稿日期: 2022-11-01     
PACS: TM411  
基金资助:国家重点研发计划资助项目(2021YFB2401703)
通讯作者: 刘 刚 男,1985年生,副教授,硕士生导师,主要从事电气设备多物理场建模及仿真、电力系统时域仿真和电磁场理论及其应用方面的研究工作。E-mail: liugang_em@163.com   
作者简介: 郝世缘 女,1999年生,硕士研究生,主要从事多物理场多时间尺度快速计算方面的研究工作。E-mail: hsyjya@163.com
引用本文:   
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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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.222137          https://dgjsxb.ces-transaction.com/CN/Y2024/V39/I4/1185