基于改进马尔可夫径向基函数的变压器三维温度场重建方法研究

Research on Three-dimensional Temperature Field Reconstruction Method for Transformers Based on Improved Markov Radial Basis Function

  • 摘要: 温度是影响变压器油绝缘的关键因素。为了实现无损检测变压器内部温度分布,提出一种单向测量和反射测量联合的新型超声波温度检测方法,以获取超声波在变压器内部沿各条路径传播的飞行时间。该文采用基于改进马尔可夫径向基函数(Markov-radial basis function,Markov-RBF)的变压器三维温度场重建算法,将变压器内部分为若干子块,并根据子块中心点的平均温度拟合全域温度,解决变压器内部超声波传播受阻,部分温度无法获取的问题,以及因传播路径小于子块数目造成病态矩阵不适定性问题,实现变压器内部三维温度场重建和最高温度定位。以10 kV三相三柱油浸式试验变压器为例,采用COMSOL仿真对检测系统的温度场重建结果进行对比分析。结果表明:两者重建的温度场具有一致性,最高油温出现在油箱高度70%的绕组附近,验证了该方法的有效性。

     

    Abstract: Temperature stands as a pivotal factor influencing the insulation of transformer oil. To realize non-destructive testing of the internal temperature distribution of the transformer, a new ultrasonic temperature detection method is proposed based on unidirectional and reflective joint measurement, which enables accurate determination of the ultrasonic flight time along the propagation paths inside the transformer. Additionally, a three-dimensional temperature field visualization algorithm for transformers is proposed, relying on improved Markov radial basis function (Markov-RBF). The transformer’s interior is partitioned into several sub-blocks, and an algorithm is utilized to fit the overall temperature by averaging the temperatures at the center points of these sub-blocks. This algorithm effectively addresses the challenge of inaccessible temperature data in areas where ultrasonic wave propagation is hindered within the transformer. It also resolves the ill-conditioned matrix issue caused by the number of propagation paths being fewer than the number of sub-blocks. Consequently, the reconstruction of the three-dimensional temperature field is successfully accomplished inside the transformer, enabling the visualization of temperature distributions and localization of the highest temperature. Taking a 10 kV three-phase three-column oil-immersed experimental transformer as an example, COMSOL simulation is utilized to compare and analyze the temperature field reconstruction results of the detection system. The results demonstrate a consistency between the two reconstructed temperature fields, with the highest oil temperature occurring near the winding at 70% of the tank height, thereby validating the effectiveness of this method.

     

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