基于间隙度量的燃气轮机分段线性化建模方法

Gas Turbine Piecewise Linear Model based on Gap Metric Concept

针对燃气轮机分段线性化模型建立过程中模型选择缺乏依据的问题,通过引入间隙度量表征线性化模型之间的相似程度,根据选定的间隙度量阈值实现燃气轮机分段线性化模型完备且非冗余选择。应用该方法建立某型分轴燃气轮机的分段线性化模型,并与等间隔选取方法进行对比研究。结果表明：该方法不仅为分段线性化模型选择提供理论依据,而且能够在保证模型精度的同时降低线性化模型数量,避免模型冗余。

For the lack of theoretical basis for the model selection during establishing the piecewise linear model of gas turbine, the concept of the gap metric was introduced to indicate the similarity between the linear models and to achieve the non-redundant selection of the piecewise linear model. The method was applied to establish the piecewise linear model for a two-shaft gas turbine, and then compared with the piecewise linear model established by equal interval model selection method. The results showed thai the proposed method not only can provide a theoretical basis for the model selection of the piecewise linear model, but also ensures high precision while greatly reducing the number of linear models and avoiding model redundancy.