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基于粒子群算法的变循环发动机部件法建模及优化
引用本文:黄飞燕,黄洲荣,陈洪骏.基于粒子群算法的变循环发动机部件法建模及优化[J].数学的实践与认识,2014(14).
作者姓名:黄飞燕  黄洲荣  陈洪骏
作者单位:东南大学自动化学院;
摘    要:针对变循环发动机部件法建模及优化问题,首先使用部件法对变循环发动机进行建模,列出发动机各部件匹配工作时,受制约的7个平衡方程;然后,根据发动机工作时的已知条件以及发动机的部件法数学模型,推导出以7个平衡方程为基础的非线性方程组,并使用粒子群算法求解非线性方程组,实现变循环发动机部件法建模及优化;最后,对模型进行了评价并提出了改进方法.结果表明,粒子群算法对于求解变循环发动机非线性方程组具有较好的收敛性

关 键 词:变循环发动机  部件法  平衡方程  粒子群算法  非线性方程组

Variable Cycle Engine Models on Component-level Mathematical Method and Optimization with Particle Swarm Algorithm
Abstract:To solve the problem of the modeling and optimization about variable circle engine,a component-level mathematical model was built up.Firstly,seven equilibrium equations restricted by each component of the engine are listed.Secondly,according to the condition of the engine that has been known and the component-level mathematical model,nonlinear equations based on the seven equilibrium equations has been deduced.Particle Swarm Optimization is applied to solve the nonlinear equations.Lastly,evaluation of the model is done and several improved methods are proposed.It turns out that the convergence of Particle Swarm Optimization is quite well when solving nonlinear equations of variable cycle engine.
Keywords:variable engine cycle  component-level modeling  equilibrium equation  particle swarm optimization  nonlinear equations
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