考虑数值噪声的热-电耦合系统分析

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (13) : 214-222.

论文

考虑数值噪声的热-电耦合系统分析

张卓 1 ，于飞 2，王秋滢 3，杜石鹏 1

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Thermal-electric coupling systems analysis of electronic cabinets with consideration of numerical noises

ZHANG Zhuo 1 YU Fei 2 Wang Qiuying 3 Du Shipeng 1

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摘要

由于仿真计算中数值噪声的影响，优化的设计函数常常是不光滑或不连续的，为多学科之间的解耦和优化计算带来较大困难。为此，本文借鉴全局优化的相关理论，提出了考虑数值噪声的热-电耦合系统分析方法。首先，在解耦方法上，根据“同时分析和设计”（SAND）思想，将解耦问题转化为一个优化问题，在学科层引入Kriging替代模型以便过滤数值噪声，并采用极大似然估计法确定新增样本点的位置，较大程度上减少了解耦分析所需的重分析次数，并通过一个典型的热-电耦合算例验证了模型和方法的有效性

Abstract

One of the difficulties in multidisciplinary design optimization for electronic cabinets is that the design functions are often not smooth or even discontinuous due to numerical noises. In order to tackle this problem, a global optimization strategy for multidisciplinary systems is developed. Firstly, the system analysis problem is transformed into an optimization problem according to the idea of SAND（Simultaneous Analysis and Design）. Kriging models are introduced as surrogate models for the output variables of each subsystem in order to filter the numerical noises. The initial Kriging models are built by using sparse sample points. The location of next samples is determined by an “infill sampling criterion” which is derived by the maximum likelihood estimation. When the simulation tools exhibit large numerical noises, this method can greatly reduce the number of subsystem simulations needed in system analysis compared with other methods such as the fixed point iteration method. Lastly, a typical thermal-electric coupling problem is taken as an example for demonstration of the effectiveness of the proposed method.

关键词

多学科耦合系统分析 / 数值噪声 / 同时分析和设计（SAND） / Kriging模型

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张卓 1,于飞 2，王秋滢 3，杜石鹏 1. 考虑数值噪声的热-电耦合系统分析[J]. 振动与冲击, 2017, 36(13): 214-222

ZHANG Zhuo 1 YU Fei 2 Wang Qiuying 3 Du Shipeng 1. Thermal-electric coupling systems analysis of electronic cabinets with consideration of numerical noises[J]. Journal of Vibration and Shock, 2017, 36(13): 214-222

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