Abstract:

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.

Key words: gas turbine, propulsion system, mathematical model, optimization