Geometrical Model and Optimization of Scroll Compressor Based on Involute of Circle with Variable Radii

doi:10.16183/j.cnki.jsjtu.2022.129

Abstract

Abstract:

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.

Key words: scroll compressor, involute of circle with variable radii, geometrical model, multi-objective optimization, algorithm comparison

CLC Number:

TH455

PENG Bin, LIU Huixin, TAO Yaohui. Geometrical Model and Optimization of Scroll Compressor Based on Involute of Circle with Variable Radii[J]. Journal of Shanghai Jiao Tong University, 2023, 57(8): 1046-1054.

Figures/Tables 12

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参数	符号	取值
初始基圆半径	a₀/mm	3.675
基圆半径变化系数	δ₀/(mm·rad^-1)	-0.05
离散的多方指数	δ₁	1
回转半径	R_ob/mm	4.361 7
内侧型线发生角	α_in/rad	1.430 44
外侧型线发生角	α_ou/rad	0
内外侧型线展角	φ_in, φ_ou/rad	—
修正展角	Φ/rad	0.6π
终端渐开线展角	φ_e/rad	6π

计算方法	几何参数1	几何参数2^[18]	几何参数3^[19]
格林定理法	1 811.997 3	734.712 3	953.449 2
图解法	1 811.910 0	734.660 0	953.440 0
法向等距法	1 813.995 9	735.243 6	954.670 3

算法名称	种群大小	迭代次数	T/s	HV	IGD
NSGA-II	200	800	4.81	0.712 4	0.008 032
MOPSO	200	800	5.19	0	3.888 300

名称	δ₀	α_in/rad	V_s×10⁵/m³	ζ	ε
优化前	-0.020 0	1.317 8	2.316	0.276 7	4.315 6
优化型	-0.014 3	1.222 0	2.477	0.264 9	4.343 6