螺旋轉子形線影響洩漏量與齒間面積的研究

Study Effects of the Rotor Profile on the Leakage and the Intertooth Area

洪澤元(Tse-Yuan Hung)

指導教授 ： 黃元茂

國立臺灣大學/工學院/機械工程學研究所/碩士(2007年)

https://doi.org/10.6342/NTU.2007.02941

摘要

螺旋轉子形線設計的優劣，決定螺旋式轉子壓縮機的洩漏量與齒間面積。縮短作用線、減小回吹孔面積與增大齒間面積皆可改進轉子的形線，作用線長度、齒間面積及回吹孔面積三個特性都可用以評估螺旋轉子形線的優劣。本研究以SRM-C作用線為基礎，經由座標軸的轉換與採用共軛理論，推導出其轉子形線方程式與上述的基本特性，並採用Hermite三次曲線做為作用線擬合的曲線。以作用線上的控制點為設計變數，配合遺傳演算法的最佳化，以齒間面積做為目標函數，作用線長度與回吹孔面積為限制條件，經由電腦程式改變控制點的座標，而得作用線的形狀，再求出其相對應的轉子形線，進而獲得最佳化的新螺旋轉子的作用線長度、回吹孔面積與齒間面積。與SRM-C轉子比較，本研究所求得的新螺旋轉子的作用線短0.35%，回吹孔面積少1.71%，齒間面積增大2.10%。

關鍵字

螺旋式轉子壓縮機 ； 轉子形線 ； 作用線 ； 齒間面積 ； 回吹孔面積 ； 遺傳演算法

並列摘要

Rotor profiles of screw rotor compressors affect the leakage and the intertooth area of screw rotor compressors. Decreasing the length of the action line and the blow hole area and increasing the intertooth area improve the rotor profile. The length of action line, the intertooth area or the blow hole can be used to evaluate the rotor profile.
This study proposes a mathematical model to study basic characteristics of the length of the action line, the blow hole area and the intertooth area for the rotor profiles of a twin-screw rotor compressor. Based on the given action line of the SRM-C profile, the Hermite function is used for the curve fit of the action line. Then, utilizing the genetic algorithm with selection of some specific points on the action line, the intertooth area is used as an object function and the length of the action line and the blow hole area are used as constraints. By changing the locations of these specific points, a new action line and, thereafter, new rotor profiles can be obtained. The optimum length of the action line, the blow hole area and the intertooth area of the basic characteristics can be obtained and compared with those of the SRM-C profile.
The length of the action line of the proposed compressor is 0.35% shorter, the blow hole area is 1.71% smaller and the intertooth area is 2.10% greater than those of the SRM-C profile.

並列關鍵字

screw rotor compressor ； rotor profiles ； action line ； intertooth area ； blow hole area ； genetic algorithm

參考文獻

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