图形法与回归分析相结合的优化设计方法

The Optimization Design Combining Graph and Regression Anaysis Method

为实现数学模型难于建立的系统的优化设计 ,提出了一种将图形法与回归分析相结合的优化设计方法。图形法将系统输入量进行离散化处理 ,通过作图法获得系统模型。采用最小二乘法寻找模型系数 ,并最终利用回归分析评估和修改图形法所建立的数学模型 ,确保了模型的准确性。水轮发电机机架方案设计中引进了该方法 ,使结构参数在设计要求范围内达到了最佳值 。

In order to realize optimization design of a system whose mathematical model is difficult to establish, an optimization design approach combining graph method and regression analysis method is put forward in this paper. In graph method, the input data of the system was discretiged, and the system model was obtained by graph. The system model parameters are found by the least square algorithm ,and the regression analysis is adopted to evaluate and modify the model so that the accuracy of the model is assured. The frame scheme design of large-scale hydraulic generator adopted this approach, the results show that the structure parameters could be optimized by design criterion.