A Reduction LPV Model Based on the Gas Dynamic Similarity for Turbofan Engine Dynamic Behavior

摘要

In this paper, the reduction method using the gas dynamic similarity is analyzed, and an integrated reduction model using the gas dynamic similarity theory and the linear parameter-varying (LPV) strategy is proposed, which can describe the JT9D turbofan engine dynamic behavior at different powers around the full defined flight envelope. Compared with the general reduction method using the gas dynamic similarity, the proposed model is more accurate in the full envelope. To study the selection of scheduling parameters, several reduction LPV models are built by different parameters. The comparisons between these models and the reference model indicate that the model, which is constructed by the parameters consisting of polynomials of the corrected shaft speeds and the total temperature at the engine input, performs the similar accuracy with the models using more complicated parameters. This set of parameters take advantages considering both accuracy and complexity during the reduction LPV model constructing.