基于改进的混合粒子群算法的变循环发动机模型求解 *

推进技术 ›› 2014, Vol. 35 ›› Issue (12): 1694-1700.

基于改进的混合粒子群算法的变循环发动机模型求解 *

白　洋¹,段黎明^1,2,柳　林¹,周福礼¹,王　勇¹

重庆大学机械工程学院，重庆 400030,重庆大学机械工程学院，重庆 400030; 重庆大学光电技术及系统教育部重点实验室，重庆 400030,重庆大学机械工程学院，重庆 400030,重庆大学机械工程学院，重庆 400030,重庆大学机械工程学院，重庆 400030

发布日期:2021-08-15
作者简介:白　洋(1989—)，男，硕士生，研究领域为发动机建模与性能仿真。
基金资助:
重庆大学科技创新基金资助项目(0209001104127)。

Solving Variable Cycle Engine Model Based on Improved Hybrid Particle Swarm Optimization

College of Mechanical Engineering，Chongqing University，Chongqing 400030，China,College of Mechanical Engineering，Chongqing University，Chongqing 400030，China; Key Laboratory of Optoelectronic Technology and System of the Education Ministry of China，Chongqing University，Chongqing 400030，China,College of Mechanical Engineering，Chongqing University，Chongqing 400030，China,College of Mechanical Engineering，Chongqing University，Chongqing 400030，China and College of Mechanical Engineering，Chongqing University，Chongqing 400030，China

Published:2021-08-15

摘要/Abstract

摘要： 为了降低变循环发动机模型求解时对初始值的依赖性，提升算法的全局收敛性，同时提高模型求解的效率，提出了一种基于改进的混合粒子群算法的变循环发动机模型求解思路。首先建立了变循环发动机的部件级模型，并建立了发动机的共同工作方程组；然后采用Broyden法对牛顿-拉夫森算法中的雅可比矩阵进行更新计算，在经典粒子群算法的基础上引入粒子中心，作为干扰项，并引入限制因子和自适应时变惯性系数；最后，综合了两种改进的算法，提出改进的混合粒子群算法。实验结果表明:该算法不仅继承了牛顿-拉夫森算法的高计算效率，还吸收了改进的粒子群算法的全局收敛优点，可实现模型大范围收敛。

关键词: 变循环发动机；数学建模；牛顿-拉夫森算法；粒子群算法；非线性方程组

Abstract: In order to reduce the dependence on the initial value，promote convergence of the algorithm and improve the efficiency of solving the Variable Cycle Engine (VCE) model，an improved hybrid particle swarm optimization (PSO) algorithm was put forward. Firstly，a component-level mathematical model and co-operating equations of VCE were constructed. Then the Jacobian matrix of Newton-Raphson method using the Broyden method was updated. The particle center as distractors，limiting factor and adaptive time-varying inertia weight on the basis of classic PSO were introduced. Finally，the two improved algorithms were combined，and then the improved hybrid PSO algorithm was proposed. The experimental results show that the algorithm not only can inherit Newton-Raphson computing efficiency，but also improve convergence obviously.

Key words: Variable cycle engine；Mathematical modeling；Newton-raphson method；Particle swarm optimization；Nonlinear equations

白　洋,段黎明,柳　林,周福礼,王　勇. 基于改进的混合粒子群算法的变循环发动机模型求解 *[J]. 推进技术, 2014, 35(12): 1694-1700.

BAI Yang¹,DUAN Li-ming^1,2,LIU lin¹,ZHOU Fu-li¹,WANG Yong¹. Solving Variable Cycle Engine Model Based on Improved Hybrid Particle Swarm Optimization[J]. Journal of Propulsion Technology, 2014, 35(12): 1694-1700.

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