多变量推进系统数学模型中的矢量空间及其分解

VECTOR SPACE AND ITS RESOLUTION IN PROPULSION SYSTEM′S MATHEMATICAL MODEL

用矢量空间上最优化概念分析一般的燃气涡轮推进系统计算机数学模型中的平衡技术，研究了有普遍意义的多变量推进系统稳态方程组及相应数模系统的变量分类问题。将可被引入多变量、多轴、多函道推进系统数模，参与制定主调节计划的数十个发动机主变量分为三类。为建立多变量推进系统总体数模，并在系统性能分析中灵活使用各种可能的调节计划，提供了一定基础理论。

A theoretical basis is presented for composing cycle variable propulsion system′s math models. The theory of vector space optimization is introduced to analyse the Balancing Technique widely used in the math model of a general gas turbine propulsion system. Based on the theory, a research is carried out on a universally applicable idea about arguments′ classification in the equations of a propulsion system. Those main arguments which can be introduced into a multi argument, multi shaft, multi bypass engine propulsion system′s math model and may be considered in constructing a main adjusting plan, are classified into three categories. The counting method for the total number of arguments in each category is proposed. The confining principles on choosing categories′ members are elucidated. The principle is able to afford as many fitting main adjusting methods as possible in the engine′s design and off design performance analysis. An example on researching Supersonic Through Flow fan propulsion system is briefly reviewed.