Since gerotor oil pump has a simple structure and has a higher discharge per cycle than other types of pumps with the same size, it has advantage for miniaturization, so it is widely used as the source of lubricant for engine lubrication of automobiles or as the hydraulic source of automatic transmissions. In order to improve the fuel efficiency and reduce the noise of gerotor oil pumps, optimization of the tooth profile is required. Thus, in this study, 2-Ex_Lemniscates; 2-expanded lemniscates curve, was developed as a new lobe shape, and theoretical equations for generating a rotor profile used as the tooth profile of the outer rotor were derived. In addition, new algorithm has removed ‘cusp’ generated in outer rotor and made uniform clearance between outer and inner rotors by applying translational movement of the x and y axes along with the expansion and rotation, and using automatic design program, optimal profile was proposed based on the analysis of performance parameters for about 2.6 million tooth profiles. The experimental results showed that the developed 2-Ex_Lemniscates oil pump showed that the flow rate at 2500 rpm was increased by about 2.9%, and average SPL (2000–3000 rpm) and pressure irregularity were decreased by 3.3% and 16.9%, respectively.

由于摆线油泵结构简单，每循环的排量比同尺寸的其他类型泵高，具有小型化的优点，因此被广泛用作汽车发动机润滑的润滑剂来源或作为液压油泵。自动变速器的来源。为了提高齿轮油泵的燃油效率和降低噪音，需要优化齿形。因此，在本研究中，2-Ex_Lemniscates；2-扩展双纽线曲线被开发为一种新的叶片形状，并导出了用于生成用作外转子齿廓的转子廓线的理论方程。此外，新算法去除了外转子产生的“尖峰”，通过应用 x 轴和 y 轴随着膨胀和旋转的平移运动，使外转子和内转子之间的间隙均匀，并使用自动设计程序，基于对大约 260 万个齿廓的性能参数进行分析。实验结果表明，开发的 2-Ex_Lemniscates 油泵在 2500 rpm 时的流量增加了约 2.9%，平均 SPL（2000-3000 rpm）和压力不规则性分别降低了 3.3% 和 16.9%。