| dc.description.abstract | Twin-screw air compressors are key devices extensively used in air compression and industrial processes, known for their stability, reliability, and efficiency, making them indispensable in the industrial sector. As research and development in engineering continue to advance, the design of variable-lead rotors has emerged as a critical factor influencing the performance of these compressors. Consequently, this study focuses on analyzing and comparing the performance of twin-screw air compressors under different lead curve designs. Initially, the study designs four different variable-lead curves while maintaining the same tooth profile, rotor length, and rotor wrap angle, and then analyzes the differences in rotor geometric characteristics under varying leads. Furthermore, this research develops a theoretical internal compression process model to simulate the compression cycle of twin-screw air compressors. This model includes equations for mass conservation, energy conservation, gas state, gas leakage, and gas exhaust, and incorporates six empirical constants for flow calculations. The Runge-Kutta 4th-Order Method is employed for computational solutions. To verify the accuracy of the theoretical model, the study utilizes experimental measurements along with Mathematica′s Global Optimization module to optimize these six empirical constants. The least squares method is applied to aggregate the squared differences between theoretical and actual volumetric displacements at varying speeds as the objective function, aiming to determine the empirical constants that best match actual displacements. The validated theoretical model demonstrates an average error in volumetric efficiency calculations within 3% and an average error in isentropic efficiency calculations within 2%. Finally, the study inserts the rotor design parameters from variable-lead curves into the established theoretical internal compression process model to explore the impact of lead changes on compressor performance, thereby elucidating the relationship between lead variation curves and compressor performance. | en_US |