Structural optimization design method for dry-type distribution transformer based on multi-objective starfish optimization algorithm

doi:10.3785/j.issn.1006-754X.2026.06.103

Chinese Journal of Engineering Design

2026, Vol. 33

Issue (2): 213-222 DOI: 10.3785/j.issn.1006-754X.2026.06.103

Optimization Design

Structural optimization design method for dry-type distribution transformer based on multi-objective starfish optimization algorithm

Enxin XIANG¹(

),Hang LI¹,Yongjie NIE¹,Jingrong GUAN²,Dongyang WANG²

^1.Electric Power Science Research Institute, Yunnan Power Grid Co. , Ltd. , Kunming 650032, China
^2.School of Electrical Engineering, Southwest Jiaotong University, Chengdu 611756, China

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Abstract

In order to enhance the service performance of epoxy resin dry-type distribution transformer, taking a 10 kV/0.4 kV epoxy resin dry-type distribution transformer as the research object, a structure optimization design method for dry-type distribution transformer based on the multi-objective starfish optimization algorithm (MOSFOA) was proposed. Firstly, a transformer model coupling electromagnetic-thermal-mechanical fields was established for performance simulation. The cross-sectional areas of the high/low voltage winding conductors, the width of the air ducts, and the radius of the core were determined as the core design variables. Subsequently, high-precision surrogate models linking the design variables to the hotspot temperature rise, loss and short-circuit electromagnetic force per unit volume of the high/low voltage windings were constructed using central composite design and response surface methodology. Finally, collaborative optimization based on the MOSFOA was performed to obtain the optimal combination of structural parameters.The resultsindicate that, while maintaining the insulation safe, compared with the initial plan, the hotspot temperature rise, loss, and short-circuit electromagnetic force per unit volume of the high/low voltage windings were reduced by 22.91%, 33.37%, 9.39%, 42.82%, and 45.52% respectively after optimization. This verified the effectiveness of the proposed optimization method.The research results provide a new method for the optimization design of dry-type transformers, and have significant reference value for improving the design efficiency and operational reliability of dry-type transformers.

Key words： epoxy resin dry-type distribution transformer structural optimization response surface methodology multi-objective starfish optimization algorithm collaborative optimization

Received: 25 September 2025 Published: 28 April 2026

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	Enxin XIANG
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Cite this article:

Enxin XIANG,Hang LI,Yongjie NIE,Jingrong GUAN,Dongyang WANG. Structural optimization design method for dry-type distribution transformer based on multi-objective starfish optimization algorithm. Chinese Journal of Engineering Design, 2026, 33(2): 213-222.

URL:

https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2026.06.103 OR https://www.zjujournals.com/gcsjxb/Y2026/V33/I2/213

基于多目标海星优化算法的干式配电变压器结构优化设计方法

为了提高环氧树脂干式配电变压器的服役性能，以一台10 kV/0.4 kV环氧树脂干式配电变压器为研究对象，提出了一种基于多目标海星优化算法（multi-objective starfish optimization algorithm, MOSFOA）的干式配电变压器结构优化设计方法。首先，建立了电磁-热-力耦合的变压器模型并进行性能仿真，确定以高/低压绕组导体截面积、风道宽度和铁心半径为核心设计变量；其次，运用中心复合设计和响应面法构建了设计变量与高/低压绕组热点温升、损耗及单位体积短路电动力之间的高精度代理模型；最后，基于MOSFOA进行协同寻优，获得最优结构参数组合。优化结果表明：在保持绝缘安全的前提下，相较于初始方案，优化后高、低压绕组热点温升，损耗，高、低压绕组单位体积短路电动力分别降低了22.91%、33.37%、9.39%、42.82%、45.52%，验证了所提出优化方法的有效性。研究结果为干式变压器的优化设计提供了新方法，对提高干式变压器的设计效率和运行可靠性具有重要的参考价值。

关键词： 环氧树脂干式配电变压器, 结构优化, 响应面法, 多目标海星优化算法, 协同寻优

Table 1 Basic parameters of dry-type distribution transformer

Fig.1 Grid partitioning of electromagnetic field simulation model for dry-type distribution transformer

Fig.2 B-H curve of core

Fig.3 Grid section of winding area of dry-type distribution transformer

Table 2 Material physical properties for temperature field calculation

Fig.4 Distribution nephogram of electric field of dry-type distribution transformer under rated operating condition

Fig.5 Distribution nephogram of winding loss per unit volume under rated operating condition

Fig.6 Distribution nephogram of winding temperature under rated operating condition

Fig.7 Distribution nephogram of winding short-circuit electromagnetic force per unit volume under rated operating condition

Table 3 Sampling range of structural parameters of dry-type distribution transformer

Table 4 Calculation results of hotspot temperature rise and loss of high/low voltage windings

Table 5 Variance analysis result for T_hv model

Table 6 Variance analysis result for T_lv model

Table 7 Variance analysis result for S model

Table 8 Calculation results of short-circuit electromagnetic force per unit volume of high/low voltage windings

Table 9 Variance analysis result for F_hvmodel

Table 10 Variance analysis result for F_lv model

Fig.8 MOSFOA flowchart

Table 11 MOSFOA parameter settings

Fig.9 Pareto frontier

Fig.10 Distribution nephogram of electric field of dry-type distribution transformer under optimized plan

Table 12 Comparison of results between optimized plan and initial plan


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