摘要
针对现有变径基圆涡旋压缩机几何模型的定量分析及优化研究不够完善的问题,给出了变径基圆涡旋压缩机从吸气过程开始直到排气过程结束的完整工作腔容积变化规律.比较了格林定理法、图解法及法向等距法的容积计算差异性,分析了产生计算误差的原因,验证了几何模型的正确性.推导了齿面积利用率的计算公式,构建了行程容积及齿面积利用率的灵敏度模型,得出基圆半径变化系数及内侧型线发生角的影响尤为显著的结论.建立了一种考虑非线性约束且以行程容积与齿面积利用率为优化目标的多目标优化分析模型.结果表明:多目标遗传算法(NSGA-II)比多目标粒子群(MOPSO)算法综合性能更佳,且相较于优化前,某款汽车空调用变径基圆涡旋压缩机的行程容积提升了6.5%,齿面积利用率降低了4.27%.该研究能为变径基圆涡旋压缩机的优化设计及定量研究提供进一步的理论参考.
Considering the problems that quantitative analysis and optimization of the geometrical model of scroll compressor created from involute of circle with variable radii are incomplete,the changing trend of the working chamber volume from the beginning of the suction process to the end of the discharge process is given.The volume calculation differences of Green’s theorem method,the graphical method,and the normal isometric method are compared,the reasons for calculation errors are analyzed,and the correctness of the geometrical model is verified.The calculation formula of teeth area utilization rate is deduced,and the sensitivity models of suction volume and teeth area utilization rate are constructed.It is concluded that the influence of the base circle radius variation coefficient and the occurrence angle of the inner profile are particularly significant.A multi-objective optimization analysis model considering nonlinear constraints and taking the suction volume and teeth area utilization rate as the optimization goals is established.The results show that the multi-objective genetic algorithm NSGA-II has a better comprehensive performance than the multi-objective particle swarm algorithm MOPSO and the suction volume of the scroll compressor created from the involute of circle with variable radii for an automobile air conditioner has been increased by 6.5%and the teeth area utilization rate has been reduced by 4.27%.This paper can provide further theoretical reference for the optimal design and quantitative research of the scroll compressor constructed from involute of circle with variable radii.
作者
彭斌
刘慧鑫
陶耀辉
PENG Bin;LIU Huixin;TAO Yaohui(School of Mechanical and Electrical Engineering,Lanzhou University of Technology,Lanzhou 730050,China)
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2023年第8期1046-1054,共9页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目(51675254,51966009)
国家重点研发计划“科技助力经济2020”重点专项(SQ2020YFF0420989)
兰州市人才创新创业项目(2020-RC-23)
甘肃省科技计划项目(20YF8GA057)
甘肃省教育厅优秀研究生“创新之星”项目(2021CXZX-442)。
关键词
涡旋压缩机
变径基圆涡旋型线
几何模型
多目标优化
算法对比
scroll compressor
involute of circle with variable radii
geometrical model
multi-objective optimization
algorithm comparison
作者简介
彭斌(1976-),教授,博士生导师,从事涡旋机械、低温余热发电技术研究,E-mail:pengb2000@163.com.
