冷媒雙螺桿壓縮機轉子齒形特徵對性能指標影響之研究

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姓名

石寶鎧(Bao-Kai Shih) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

冷媒雙螺桿壓縮機轉子齒形特徵對性能指標影響之研究
(Influence Study of Rotor Profile Characteristics on Performance Indices of a Refrigerant Twin-screw Compressor)

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至系統瀏覽論文 (2025-12-31以後開放)

摘要(中)

雙螺桿壓縮機具有高穩定性、高可靠性及優良的動力平衡性等優點，被廣泛應用於機械及製冷領域等多種產業，其機體內有一對平行且相互嚙合運轉之公、母轉子，在轉子相互嚙合過程中將氣體吸入，藉由吸排氣兩側容積變化將等量空氣壓縮至所需要的壓力。為了提高雙螺桿壓縮機的性能，轉子齒廓的設計將是關鍵的影響因素。因此，本論文旨在建立一套壓縮機性能數值計算程序，並使用物件導向軟體封裝成應用程式，其可根據使用者自訂輸入轉子齒形點資料及壓縮機基本參數，計算雙螺桿壓縮機幾何特徵、轉子及調節滑閥受力等壓縮機性能指標。本論文在符合轉子齒形設計原則及考慮不同工作負載條件下，探討齒形參數對壓縮機性能指標之影響，接著，藉由均勻設計法(Uniform Design)得出之高斯徑向基函數(Radial Basis Function, RBF)近似模型，建立轉子齒形特徵與不同負載下壓縮機性能指標之關係式，最後，以本論文所提出之壓縮機正規化性能指標 (Normalized Performance Index, NPI)進行齒形參數最佳化。另外，本論文建構之應用程式可讓使用者更快速的判斷壓縮機性能，並縮短壓縮機設計及分析需要之時間與成本。

摘要(英)

A twin-screw compressor comprises a pair of parallelly meshing screw rotors inside the housing which greatly governs the compressor performance. With the relative rotation between two rotors, the gaseous medium is inhaled in and compressed through continuous change of the enclosed tooth chamber from the suction side to the exhaust side. The rotor profile design is vital to improve the compressor performance. Therefore, this study aims to establish a numerical calculation procedure to evaluate the compressor performance and package it into an object-oriented application program. According to the user-defined rotor profile point data and the related basic settings, it is available to calculate the geometric characteristics of screw rotors, variation curves of pressure vs chamber volume, and loads on the rotors and the sliding valve. Also, the influence of each rotor profile parameter on the compressor performance indexes, regarding to the efficiencies and vibration of the compressor, is investigated for the different load conditions. The regression equations between the rotor profile characteristics and the compressor performance indexes for the different load conditions are attained through Uniform Design method combined with the Radial Basis Function (RBF) approximate model. Finally, the synthetic Normalized Performance Index (NPI) is proposed in this thesis to optimize the rotor profile for increasing the compressor performance. In addition, the application program allows users to evaluate compressor performance more quickly, reduce the required time and cost in compressor design and analysis.

關鍵字(中)

★ 雙螺桿壓縮機
★ 最佳化設計
★ 數值計算
★ 均勻設計法
★ 物件導向軟體設計

關鍵字(英)

★ twin-screw compressor
★ optimization design
★ numerical calculation
★ uniform design
★ object-oriented programming

論文目次

摘要 I
ABSTRACT II
致謝 III
目錄 IV
圖目錄 VI
表目錄 VIII
符號對照表 IX
第1章緒論 1
1-1前言 1
1-2文獻回顧 4
1-3研究動機及目的 7
1-4論文架構 8
第2章雙螺桿壓縮機轉子齒形設計 9
2-1雙螺桿壓縮機轉子齒形發展 9
2-2雙螺桿壓縮機轉子齒形設計原則 10
2-3齒直角齒條創成螺桿轉子齒形 10
2-4嚙合方程式 13
2-5轉子及接觸線座標系統 14
2-6壓縮機輸入參數與幾何參數 16
第3章雙螺桿壓縮機幾何特徵及受力計算 17
3-1接觸線長度計算 18
3-2轉子齒間面積與齒間容積 19
3-2-1齒間面積 19
3-2-2齒間面積及容積變化曲線 20
3-2-3壓縮機幾何分析報表 22
3-3 高、低壓側回吹孔 24
3-4壓縮機吸排氣孔口設計 24
3-4-1軸向吸排氣孔口 26
3-4-2徑向吸排氣孔口 28
3-5旁通口面積變化 32
3-6氣體壓力曲線 33
3-7轉子受力與力矩計算 34
3-7-1公、母轉子間接觸力 35
3-7-2公、母轉子循環氣體負載 36
3-8壓縮機氣體功耗與製冷係數 43
3-8-1壓縮機氣體功耗 43
3-8-2熱流模組分析報表 43
3-9容積調節滑閥氣體力與力矩計算 44
第4章不同轉子齒形特徵對性能指標之影響 51
4-1均勻設計法 52
4-2不同轉子齒型特徵對公母轉子齒形之影響 60
4-3不同負載下各線段參數對壓縮機性能指標影響指數 61
4-4不同負載下壓縮機正規化性能指標影響指數 70
4-5轉子齒形最佳化比較與討論 75
第5章結論與未來展望 78
5-1結論 78
5-2未來展望 80
參考文獻 81
附錄 84
不同負載下壓縮機性能指標極值 84

參考文獻

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指導教授

吳育仁(Yu-Ren Wu)

審核日期

2020-12-22

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