CAJ | 학술논문

采用部件法建立了变循环发动机的多维非线性隐式方程组模型，该模型具有隐式性，因而求解过程复杂，收敛困难。以变循环发动机为对象，设计了遗传算法，将数学模型转化为最优化问题，并对模型进行求解。提出了算法的有效性评价指标：初值敏感性、计算效率、收敛性、稳定性。与牛顿-拉夫逊法相比，遗传算法初值敏感性较低，收敛性较好。该结果可为变循环发动机模型求解算法的选择与设计提供参考。
채용부건법건립료변순배발동궤적다유비선성은식방정조모형，해모형구유은식성，인이구해과정복잡，수렴곤난。이변순배발동궤위대상，설계료유전산법，장수학모형전화위최우화문제，병대모형진행구해。제출료산법적유효성평개지표：초치민감성、계산효솔、수렴성、은정성。여우돈-랍부손법상비，유전산법초치민감성교저，수렴성교호。해결과가위변순배발동궤모형구해산법적선택여설계제공삼고。
A component method is used to build a variable cycle engine mathematical model of multidimension-al nonlinear implicit equations that are not convergent,so as to make it difficult to be solved.Taking the vari-able cycle engine as obj ect,a genetic algorithm is designed to transform the mathematical model into an opti-mization problem,so as to solve the model.Some evaluation indicators such as initial value sensitivity,compu-tation efficiency,convergence and stability of algorithm are proposed to evaluate the method.It is shown that the genetic algorithm is less sensitive to initial value,but more convergent than Newton-Raphson method. The results and conclusions can provide the reference to modeling and solutions of variable cycle engines.