基于人工神经网络的热分析实现问题

K. T. Yang
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摘要

现在我们知道,一般可以证明,人工神经网络(ANN),特别是具有反向传播纠错程序的全连接前馈配置,可以是一种相当有效和准确的工具,用于关联热交换器等热设备的性能数据(Sen和Yang, 2000;Kalogirou, 1999)。最近对紧凑型翅片管换热器的演示就是很好的例子(Diaz et al., 1999a;Yang et al., 2000;Pacheco-Vega et al., 1999),包括那些具有复杂几何形状和两相蒸发器的热交换器(Pacheco-Vega et al., 2000),以及此类热交换器及其自适应控制的动态建模(Diaz et al., 1999b;Diaz et al., 2000)。不幸的是,尽管取得了这样的成功,但人工神经网络分析仍然存在实施问题,导致其应用和取得的结果存在不确定性。本文讨论了这些问题以及目前处理这些问题的做法。将讨论的内容包括隐藏层的数量、每个隐藏层的节点数量、输入输出数据归一化的范围、权重和偏差的初始分配、训练数据集的选择以及训练率。正如将显示的那样,特定的选择绝不是微不足道的,但是对于在任何给定的应用程序中获得良好的ANN结果是相当重要的。由于目前这种选择还没有普遍可靠的理论依据,过去的经验和数值实验往往是最好的指导。然而,许多这些选择和与之相关的问题都涉及到优化。因此。在这方面,一些现有的优化算法可能被证明是有用的和非常可取的。本文还将对目前正在进行的研究提供一些合理的依据。最后,还将提到成功实施的人工神经网络在实践中有许多其他用途。例子包括参数敏感性分析、训练、新实验设计和数据集聚类。
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Implementation Issues in Artificial Neural Network Based Thermal Analysis
It is now known the generally it can be demonstrated that artificial neural network (ANN), particularly the fully-connected feedforward configuration with backward propagation error-correction routine, can be a rather effective and accurate tool to correlate performance data of thermal devices such as heat exchangers (Sen and Yang, 2000; Kalogirou, 1999). Good examples are the recent demonstrations for the compact fin-tube heat exchangers (Diaz et al., 1999a; Yang et al., 2000; Pacheco-Vega et al., 1999) including those with complex geometries and also two-phase evaporators (Pacheco-Vega et al., 2000) as well as the dynamic modeling of such heat exchangers and their adaptive control (Diaz et al., 1999b; Diaz et al., 2000). Unfortunately, despite such successes, there are still implementation issues of the ANN analysis which lead to uncertainties in its applications and the achieved results. The present paper discusses such issues and the current practices in dealing with them. Those that will be discussed include the number of hidden layers, the number of nodes in each hidden layer, the range within which the input-output data are normalized, the initial assignment of weights and biases, the selection of training data sets, and the training rate. As will be shown, the specific choices are by no means trivial, and yet are rather important in achieving good ANN results in any given application. Since there are no general sound theoretical basis for such choices at the present time, past experience and numerical experimentation are often the best guides. However, many of these choices and issues relating to them involve optimization. As a result. Some of the existing optimization algorithms may prove to be useful and highly desirable in this regard. The current on-going research to provide some rational basis in these issues will also be discussed. Finally, it will also be mentioned that successfully implemented ANNs have many additional uses in practice. Examples include parameter sensitivity analysis, training, design of new experiments, and clustering of data sets.
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