基于SCAS时间匹配算法油浸式变压器绕组瞬态温升计算方法

doi:10.19595/j.cnki.1000-6753.tces.222137

Abstract
Figure/Table
References (0)
Related Citation (2)

Download: PDF (2181 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

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 the aspect of 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 at each time according to the change trend of the physical field under the allowable error. The introduction of the ATS-HTS hybrid variable step size method greatly reduces the number of computing time steps.
Secondly, for the problem of coupling point selection, this paper proposes SCAS time matching algorithm based on CSS time matching algorithm, which uses adaptive scheme to determine the calculation time window and predetermined coupling points, and introduces exponential smoothing method to ensure its accuracy.
Finally, in order to verify the effectiveness of the proposed method, a two-dimensional transient single zone split turn winding model is established, and the proposed method is compared with other traditional methods. The results show that: compared with the traditional CSS algorithm, in terms of accuracy, the average relative error of flow field of SCAS algorithm is 0.25%; The average relative error of temperature field is 0.45%, which is within the acceptable error range; In terms of efficiency, compared with the traditional CSS time matching algorithm, 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, in order to further illustrate the value of the proposed algorithm in engineering practice, this paper has built a temperature rise experimental platform based on the 110kV transformer winding model, and applied the SCAS time matching algorithm to the heat transfer model. The calculation and experimental results show that: in terms of accuracy, the maximum absolute error between the SCAS algorithm and the experiment when reaching the steady state occurs at the temperature measuring points of 30 wire cakes and 4, which is 2.7K. Because the temperature rise experiment is affected by several uncontrollable factors. Therefore, the error is within the acceptable range. In terms of computational efficiency, 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 words： Sub-cyclic adaptive staggered mixed variable time step thermal coupling problem of two dimensional transient flow fast calculation method temperature rise experiment

Received: 11 November 2022

PACS:

TM411

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Liu Gang
	Hao Shiyuan
	Hu Wanjun
	Liu Yunpeng
	Li Lin

Cite this article:

Liu Gang,Hao Shiyuan,Hu Wanjun等. Transient Temperature Rise Calculation of Oil Immersed Transformer Winding Based on SCAS Time Matching Algorithm[J]. Transactions of China Electrotechnical Society, 0, (): 125-125.

URL:

https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.222137 OR https://dgjsxb.ces-transaction.com/EN/Y0/V/I/125

[1] 谢裕清,李琳,宋雅吾等. 油浸式电力变压器绕组温升的多物理场耦合计算方法[J]. 中国电机工程学报,2016,36(21):5957-5965+6040.
XIE Y Q,LI L,SONG YW,et al. Multi-Physical Field Coupled Method for Temperature Rise of Winding in Oil-Immersed Power Transformer[J]. Proceedings of the CSEE, 2016,36(21):5957-5965+6040.
[2] 朱涛,王丰华. 地磁感应电流作用下大型变压器的温升特性计算[J]. 电工技术学报,2022,37(08):1915-1925.
ZHU T,WANG F H.Calculation of Temperature Rise of Large Transformer under Geomagnetically Induced Current[J]. Transactions of China Electrotechnical Society,2022,37(08):1915-1925.
[3] 程书灿, 赵彦普, 张军飞等. 电力设备多物理场仿真技术及软件发展现状[J]. 电力系统自动化,2022,46(10):121-137.
CHENG S C, ZHAO Y P,ZHANG J F, et al.State of the Art of Multiphysics Simulation Technology and Software Development for Power Equipment[J]. Automation of Electric Power Systems, 2022, 46(10): 121-137.
[4] 邓永清,阮江军,董旭柱等. 基于自适应网格控制的10 kV油浸式变压器多物理场仿真计算[J]. 高电压技术,2022,48(08):2924-2933.
DENG Y Q,RUAN J J,DONG X Z,et al.Simulation of Multi-physical Field of 10kV Oil Immersed Transformer Based on Adaptive Grid Control[J]. High Voltage Engineering,2022,48(08):2924-2933.
[5] 武卫革,杜振斌,刘刚等. 大型油浸式变压器绕组温度场仿真及验证[J]. 华北电力大学学报(自然科学版),2020,47(06):68-74.
WU W G,DU Z B,LIU G,et al.Simulation and Verification of Winding Temperature Field for Large Oil Immersed Transformer[J]. Journal of North China Electric Power University(Natural Science Edition),2020,47(06):68-74.
[6] RUAN J J,DENG Y Q,HUANG D C,et al.HST calculation of a 10 kV oil-immersed transformer with 3D coupled-field method[J].IET Electric Power Applications,2020,14(5):921-928.
[7] 唐钊, 刘轩东, 陈铭. 考虑流体动力学的干式变压器热网络模型仿真分析[J]. 电工技术学报,2022,37(18):4777-4787.
TANG Z, LIU X D, CHEN M.Simulation Analysis of Dry-Type Transformer Thermal Network Model Considering Fluid Dynamics[J]. Transactions of China Electrotechnical Society,2022,37(18):4777-4787.
[8] 王泽忠,李明洋,宣梦真等. 单相四柱式变压器直流偏磁下的温升试验及仿真分析[J]. 电工技术学报,2021,36(05):1006-1013.
WANG Z Z, LI M Y, XUAN M Z, et al.Temperature Rise Test and Simulation of Single-Phase Four-Column Transformer under DC-Bias[J]. Transactions of China Electrotechnical Society, 2021,36(05):1006-1013.
[9] 刘刚,王晓晗,马永强等. 基于控制体—迎风有限元法的变压器绕组二维流体场—温度场耦合计算方法研究[J]. 高压电器,2021,57(06):1-9.
LIU G,WANG X H,MA Y Q, et al.Study on Coupled Calculation Method of Two Dimensional Fluid and Temperature Field of Transformer Winding Based on Control Volume-Upstream FEM[J]. High Voltage Apparatus,2021,57(06):1-9.
[10] 袁发庭, 吕凯, 刘健犇等.基于电磁-热-结构多物理场耦合的铁心电抗器线圈结构优化方法[J/OL].电工技术学报. https://doi.org/10.19595/j.cnki.1000-6753.tces.211541
YUAN F T,LV K, LIU J B, et al. Coil Structures Optimization Method of Iron Core Reactor Based on Electromagnetic-Thermal-Structure Multi-physical Field Coupling[J/OL]. Transactions of China Electrotechnical Society.https://doi.org/10.19595/j.cnki.1000-6753.tces.211541
[11] 廖才波,阮江军,刘超等. 油浸式变压器三维电磁-流体-温度场耦合分析方法[J]. 电力自动化设备,2015,35(09):150-155.
LIAO C B,RUAN J J,LIU C,et al.Comprehensive analysis of 3-D electromagnetic-fluid-thermal fields of oil-immersed transformer[J]. Electric Power Automation Equipment,2015,35(09):150-155.
[12] 廖才波,阮江军,逯怀东等. 油浸式变压器二维电磁-流体-温度场耦合分析方法研究[J]. 科学技术与工程,2014,14(36):67-71.
LIAO C B,RUAN J J,LU H D,et al.2-D Coupled Electromagnetic-fluid-thermal Analysis of Oil-immersed Transformer[J]. Science Technology and Engineering,2014,14(36):67-71.
[13] 谢裕清. 油浸式电力变压器流场及温度场耦合有限元方法研究[D].华北电力大学(北京),2017.
XIE Y Q.Study on Flow Field and Temperature Field Coupling Finite Element Methods in Oil-immersed Power Transformer[D].North China Electric Power University,2017.
[14] Bonan J.The least-squares finite element method: theory and applications in computational fluid dynamics and electromagnetics[M]. New York:Springer Science & Business Media, 2013.
[15] LIU G,ZHENG Z,YUAN D W,et al.Simulation of Fluid-Thermal Field in Oil-Immersed Transformer Winding Based on Dimensionless Least-Squares and Upwind Finite Element Method[J]. Energies,2018,11(9).
[16] LIU G,RONG S C,WU W G,et al.A Two-Dimensional Transient Fluid-thermal Coupling Method for Temperature Rising Calculation of Transformer Winding Based on Finite Element Method[J],AIP Advances,2020,10:035325.
[17] 曹龙飞,范兴纲,李大伟等. 基于快速有限元的永磁电机绕组涡流损耗半解析高效计算[J/OL].电工技术学报. https://doi.org/10.19595/j.cnki.1000-6753.tces.211603
CAO L F, FAN X G, LI D W, et al. Semi Analytical and Efficient Calculation Method of Eddy Current Loss in Windings of Permanent Magnet Machines Based on Fast Finite Element Method[J/OL]. Transactions of China Electrotechnical Society. https://doi.org/10.19595/j.cnki.1000-6753.tces.211603
[18] 金亮,李育增,杨庆新等. 大规模工程电磁场的亿自由度可扩展并行计算方法[J]. 电工技术学报,2022,37(03):589-598.
JIN L, LI Y Z, YANG Q X, et al.Extensible Parallel Computing Method with Hundreds of Millions of Freedoms for Large-Scale Engineering Electromagnetic Field[J]. Transactions of China Electrotechnical Society,2022,37(03):589-598.
[19] Farhat C, Lesoinne M, Maman N Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation and distributed solution[J]. Int J Numer Methods Eng,1995,21(10):356-367
[20] Felippa CA, Park KC Synthesis tools for structural dynamics and partitioned analysis of coupled systems. In: Ibrahimbegovi´c A[M], Brank B (eds) NATO advanced research workshop. IOS Press, The Netherlands, 2004.
[21] 李彬. 先验误差评估时间自适应方法研究及其在饱和砂土地震液化分析中的应用[D].大连理工大学,2020.
LI B.Study on Prior Error Evaluation Time Adaptive Method and Application in Seismic Liquefaction Analysis of Saturated Sand[D]. DALIAN UNIVERSITY OF TECHNOLOGY,2020.
[22] 赵振,张树有. 自适应步长顺序耦合法及其在瞬态场耦合问题分析中的应用[J]. 计算机集成制造系统,2011,17(07):1404-1414.
ZHAO Z,ZHANG S Y.Self-adaptive step sequential-interaction method and its application in transient-fields coupling problems[J]. Computer Integrated Manufacturing Systems,2011,17(07):1404-1414.
[23] Christophe K,Adnan I,et al.Nonlinear fluid-structure interaction problem. Part I: implicitpartitioned algorithm, nonlinear stability proof and validation examples[J]. Comput Mesh,2011,47:305-323.
[24] 张宇娇,汪振亮,徐彬昭等. 瞬态电磁-温度场耦合计算中自适应时间步长研究[J]. 电工技术学报,2018,33(19):4468-4475.
ZHANG Y J,WANG Z L,XU B Z,et al.Research on the Adaptive Time Step in Transient Calculation of Coupled Electromagnetic and Thermal Fields[J]. Transactions of China Electrotechnical Society,2018,33(19):4468-4475.
[25] 刘刚,靳立鹏,胡万君等. 基于混合有限元法的油浸式变压器稳态流-热耦合场并行计算方法[J/OL]. 高电压技术. https://doi.org/10.13336/j.1003-6520.hve.20221050
LIU G, JIN L P, HU W J,et al. A parallel method for steady-state fluid-thermal coupling field of oil-immersed transformer based on hybrid finite element method[J/OL]. High Voltage. https://doi.org/10.13336/j.1003-6520.hve.20221050
[26] Russo A.Streamline-upwind Petrov/Galerkin method (SUPG) vs residual-free bubbles (RFB)[J]. COMPUTER METHODS IN APPLIED MECHANICS ANDENGINEERING,2006,195(13-16):1608-1620.
[27] C.M.F.D,M P,C P,et al. Assessment of adaptive and heuristic time stepping for variably saturated flow[J].INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2007,53:1173-1193.