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研究生：	陳亦涵 Han, Tan Yi
論文名稱：	四氣缸雙動式α型史特靈引擎之最佳化 Computational Optimization of Four-Cylinder Double-Acting α-Type Stirling Engine
指導教授：	鄭金祥 Cheng, Chin-Hsiang
學位類別：	碩士 Master
系所名稱：	工學院 - 航空太空工程學系 Department of Aeronautics & Astronautics
論文出版年：	2018
畢業學年度：	106
語文別：	英文
論文頁數：	111
中文關鍵詞：	雙動式、最佳化、史特靈引擎
外文關鍵詞：	Double-acting, Optimization, Stirling engine
相關次數：	點閱：87 下載：6
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本研究結合熱力學模型和簡易共軛梯度法 (Simplified conjugate-gradient method) 對四氣缸雙動式α型史特靈引擎之性能進行最佳化。利用計算流體力學 (Computational fluid dynamics, CFD) 軟體之結果對熱力學模型熱阻值進行調整。此最佳化分析目的為維持引擎之熱效率 , 同時搜尋引擎輸出功率之最佳值。最佳化之目標函數將以權重分配比例大小進行最佳化疊代 , 可應用於對引擎輸出功率與熱效率之最佳化。在使用氦氣、4.34 atm 起始壓力、 1000 rpm 和 1000 K 條件下,最佳化六種引擎設計幾何參數可得輸出功率為1086.50 W 和熱效率為20.69 % , 輸出功率提升38.59 %。此外 , 本研究也針對活塞位移參數進行最佳化 , 以探討衝程、流體膨脹與收縮時間和活塞處於上死點和下死點時間對引擎性能之影響。最後 , 本研究針對所有引擎幾何參數和活塞位移參數進行最佳化 , 得輸出功率為1202.23 W, 熱效率為17.79 % ,輸出功率提升53.35 %。

In this study, the thermodynamic model is coupled with the optimization method using the simplified conjugate-gradient method to determine the four-cylinder double-acting α-type Stirling engine design for optimal performance. The thermodynamic model is modified and tuned to match the results from computational fluid dynamics software. The optimization method determines minimization of objective function by optimizing the engine power output while maintaining the thermal efficiency. This is achieved by assigning weighting coefficients to the objective function. The weighting coefficients distribution is studied to investigate their effects on power output and thermal efficiency. By considering six engine geometrical parameters, the optimized engine can achieve the power output of 1086.50 W and 20.69 % thermal efficiency using helium with initial charged pressure of 4.34 atm, engine speed of 1000 rpm and heating temperature of 1000 K. The present optimal engine design gives the improvement by 38.59 % in power output. In addition, only the piston motion trajectory of the engine is optimized to study the effects of varying stroke, expansion and compression time, as well as dwell time at piston top dead center and bottom dead center. In the final stage of this study, all the engine geometrical parameters and piston motion trajectory as well are optimized. This yields the engine performance with the power output of 1202.23 W and thermal efficiency of 17.79 %. This optimal engine design gives 53.35 % improvement of power output as compared to the baseline engine design.

摘要.................................................................................................................................................. i
ABSTRACT .................................................................................................................................... ii
ACKNOWLEDGEMENT ............................................................................................................. iii
LIST OF TABLES ........................................................................................................................ vii
LIST OF FIGURES ..................................................................................................................... viii
NOMENCLATURE ....................................................................................................................... x
CHAPTER 1 INTRODUCTION .................................................................................................... 1
1 Four-Cylinder Double-Acting α-Type Stirling Engine ..................................................... 2
2 Literature Review .............................................................................................................. 2
2.1 Thermodynamic model for Stirling engine ............................................................ 2
2.2 Computational fluid dynamics analysis for prediction of engine performance ..... 3
2.3 Thermodynamic optimization of Stirling engine ................................................... 4
2.4 Optimization methods ............................................................................................ 5
3 Motivation of Study ........................................................................................................... 7
4 Purpose of Research .......................................................................................................... 8
5 Thesis Outline .................................................................................................................... 8
CHAPTER 2 THERMODYNAMIC MODEL .............................................................................. 9
1 Piston Displacement and Chamber Volume ...................................................................... 9
2 Thermodynamic Model ................................................................................................... 15
2.1 Initial conditions .................................................................................................... 15
2.2 Mass ....................................................................................................................... 16
2.3 Pressure variation .................................................................................................. 17
2.4 Mass flow rate ....................................................................................................... 18
2.5 Temperature and pressure ...................................................................................... 19
2.6 Pressure loss calculation ........................................................................................ 26

2.7 Engine performance ............................................................................................... 29
3 Computational Fluid Dynamics Model ........................................................................... 30
3.1 Governing equations .............................................................................................. 31
3.2 Porous medium theory ........................................................................................... 34
3.3 Turbulence model .................................................................................................. 36
3.4 Working fluid properties ....................................................................................... 37
3.5 Grid independence check ...................................................................................... 37
3.6 Boundary conditions and initial conditions ........................................................... 38
CHAPTER 3 OPTIMIZATION METHODS .............................................................................. 39
1 Simplified Conjugate-Gradient Method (SCGM) [20] .................................................... 39
2 Constraints ....................................................................................................................... 42
3 Optimization Weighting Coefficients .............................................................................. 43
CHAPTER 4 RESULTS AND DISCUSSION ............................................................................ 44
1 Comparison between Thermodynamic Model and Computational Fluid Dynamics Analysis ................................................................................................................................. 44
2 Parametric Analysis ......................................................................................................... 45
2.1 Effects of chamber diameter on power output and thermal efficiency ................. 45
2.2 Effects of heater geometry on power output and thermal efficiency .................... 46
2.3 Effects of cooler geometry on power output and thermal efficiency .................... 47
2.4 Effects of wire mesh geometry of regenerator on power output and thermal efficiency ........................................................................................................................ 48
2.5 Effects of piston linkage proportion to power output and thermal efficiency ....... 48
2.6 Effects of angle for piston dwell at TDC on engine performance ......................... 49
2.7 Effects of angle for piston motion from TDC to BDC on engine performance .... 50
2.8 Effects of angle for piston dwell at BDC on engine performance ........................ 50
2.9 Effects of stroke on engine performance ............................................................... 51
3 Optimization of Baseline Engine Geometrical Parameters ............................................. 51

3.1 Optimization of baseline engine geometrical parameters for high power output.. 52
3.2 Optimization of baseline engine geometrical parameters for high thermal efficiency ........................................................................................................................ 53
4 Numerical Simulation of Engine with Optimized Geometrical Parameters (Case 3) ..... 54
5 Optimization of Only Piston Motion Trajectory for Baseline Case ................................ 55
6 Optimization of Only Piston Motion Trajectory for Case 3 ............................................ 55
7 Optimization of Engine Geometrical Parameters and Piston Motion Trajectory (Case 4) ............................................................................................................................................ 56
CHAPTER 5 CONCLUSIONS ................................................................................................... 58
REFERENCES ............................................................................................................................. 60
                                    

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校內：2020-07-20公開
校外：2020-07-20公開

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