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研究生:孫柏行
研究生(外文):PoHsing Sun
論文名稱:實現兩種幾何穩定參數所分類之12種不同穩定情況
論文名稱(外文):Realizing twelve stability situations of two-port networks according to two geometrically derived stability parameters
指導教授:孟慶宗
指導教授(外文):C.C. Meng
學位類別:碩士
校院名稱:國立中興大學
系所名稱:電機工程學系
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:63
中文關鍵詞:穩定度
外文關鍵詞:Stability
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利用兩種新的幾何參數m¢(or m)及n¢ (or n),可用來分析所有雙埠網路穩定情形,兩者參數之大小可決定在GS (orGL)平面上,穩定圓與單位史密斯圓之間的幾何關係。½m¢½ (or½m½)參數定義為在GS (orGL)平面上,介於穩定圓與單位史密斯圓圓心間之最小距離;而½n¢½ (or½n½)參數定義為在GS (orGL)平面上,介於穩定圓與單位史密斯圓圓心間之最大距離。假如n¢ (or n)>0,則表示穩定圓內部(disk)區域穩定,反之n¢ (or n)<0,則表示穩定圓外部(disk complement)區域穩定。m¢(or m)>0表示穩定區域包含單位史密圓原點,反之m¢(or m)<0則表示單位史密斯圓原點所在的區域不穩定。藉由參數m¢(orm)及n¢ (orn)幾何意義,可分類出12種在GS (orGL)平面上之穩定情況。然而這兩種新的幾何參數m¢(or m)及n¢ (or n)只是理論上推導,因此本篇論文第二章將以實際的雙埠網路來實現這兩種幾何穩定參數所分類之12種不同穩定情況,以驗證兩種幾何推導之穩定性參數。
對於雙埠網路條件式穩定及無條件穩定的增益圖形,在微波放大器設計上是非常重要的。傳統穩定參數K、B-與D-可用來分類出八種不同增益圖形,本篇論文第三章將八種不同增益圖形分別以功率增益對反射係數作圖,藉由圖形之分析可判別主動網路之穩定度與其增益之取捨,這將對於穩定與匹配的權衡有著莫大的助益。

Two geometrical stability parameters, m¢ (or m) and n¢ (or n) are used to analyze the stability of a two-port network. The magnitudes of both m¢ (or m) and n¢ (or n) parameters determine the geometrical relations between the SC (Stability Circle) and the USC (Unit Smith Chart) in the GS (or GL) plane. ½m¢½ (or½m½) parameter is defined as the minimum distance from SC to the origin of USC in the GS (or GL) plane; while ½n¢½ (or½n½) parameter is defined as the maximum distance from SC to the origin of the USC in the GS (or GL) plane. The sign of n¢ (or n) parameter determines that the region inside SC (disk) is stable if n¢ (or n)> 0 or the region outside SC (disk complement) is stable if n¢ (or n)< 0. The stable region includes the USC origin if m¢ (or m) parameter is positive. Otherwise, the stable region excludes the USC origin when m¢ (or m) parameter is negative. Using the geometrical relations of m¢ (or m) and n¢ (or n) parameters, there are totally twelve situations between the SC and USC in the GS (or GL) plane. However, these two geometrical stability parameters just are a theoretical-derived formulation. Hence, Chapter 2 presents the practical two-port networks to realize twelve classified situations according to two geometrically derived stability parameters (i.e. n¢ and m¢) in the GS plane.
Gain profiles along the line joining the USC center and the SC center for conditionally stable and unconditionally stable amplifiers are important for amplifier design. The SC intersects the USC at two invariant points if |K| <1 or |K| >1 is equivalent to stating that the SC is inside or outside the USC. Stability parameters such as K, B- and D- factors can be used to classify the gain profiles. There are totally eight gain profiles along the line joining the SC center and the USC center for different K, B1 and D1 factors in the GS plane. Chapter 3 will illustrate the corresponding practical available gain circles.

中文摘要 i
Abstract ii
誌謝 iii
Contents iv
Figure captions vi
Chapter 1 Introduction 1
Chapter 2 Using the Practical Two-Port Networks to
Realize Twelve Stability Situations According
to Two Geometrically Derived Stability
Parameters 5
2.1 Twelve situations in the Source plane 5
2.2 Twelve situations in the Input plane 10
2.3 Relations between the Input plane and Source plane for
unconditionally stable case 13
2.4 Generating twelve situations in the Source plane by the
practical two-port networks 15
Chapter 3 Eight Gain Profiles for Conditional and Unconditional Stability 31
3.1 Power gain introduction 31
3.2 Background 32
3.3 Illustration of eight gain profiles 35
3.4 Example of eight gain profiles 39
Chapter 4 Discussions and Conclusions 46
References 48
Appendix I 50
Appendix II 53
Appendix III 55
Appendix IV 61

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[7] 孟慶宗,倪旭揚”以具幾何意義的兩參數分析雙埠主動網路之穩定性,”中興大學電機研究所碩士論文,八十九年六月.
[8] M. L. Edwards and S. Cheng, ”A deterministic approach for design conditionally stable amplifiers,” IEEE Trans. Microwave Theory and Techs.,vol.43,no.7,pp.1567-1575,July 1995.
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