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研究生:吳峯日
研究生(外文):Feng-Jih Wu
論文名稱:以系統辨識法完成一新穎過電流保護裝置特性與其實務運用
論文名稱(外文):A Novel Over-Current Protective Device Characteristic Developed by Eigensystem Realization Algorithm and Its Practical Applications
指導教授:周至如陸茵陸茵引用關係
指導教授(外文):Chih-Ju ChouYing Lu
學位類別:博士
校院名稱:國立臺北科技大學
系所名稱:電機工程系所
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:2013
畢業學年度:101
語文別:英文
論文頁數:90
中文關鍵詞:曲線擬合特徵系統實現演算法萬用型過電流電驛多功能方程式誤動作
外文關鍵詞:Curve fittingEigensystem Realization AlgorithmUniversal OC relayVersatile equationSympathy tripping
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在電力系統保護協調研究領域上,正確表達典型過電流保護裝置動作特性,是個重要關鍵。本文首次提出一種新穎方法,用來擬合過電流保護裝置動作特性,以決定其動作特性參數。此方法以ERA演算法(Eigensystem realization algorithm)為基礎,採在狀態空間模型(State-space model)下擬合過電流保護裝置動作特性。此動態系統模型優於傳統廣泛被使用的靜態動作特性,可以用來擬合傳統典型和依系統需求的非典型的過電流保護裝置動作特性,且能達到相當高的準確度。本研究選擇典型及非典型過電流保護裝置動作特性曲線等共27條,進行擬合,以最大絕對值誤差做為評估所需擬合的組成成份數量,綜合找出一多功能方程式來表示他們的特性。然後,建議此多功能方程式為一新穎彈性過電流電驛動作特性的模型,並在此動作特性模型條件下,列舉多個實例,描述如何運用及改善在二次輸電系統及配電系統的過電流保護協調問題,並說明其具有其他多項額外的運用。

Accurate models of the characteristics of typical inverse-time overc-urrent (OC) protective devices play an important role in the protective coordination schemes in the sub-transmission and distribution systems. The first dissertation presents a novel approach to determine the OC protective device parameters. The approach is based on the Eigensystem Realization Algorithm (ERA) which generates a state-space model to fit the characteristics of OC protective devices. Instead of the conventional characteristic curves, the dynamic state-space model is a more accurate fit of the OC protective device characteristics. This dissertation describes the detail procedure of decomposing the characteristic curve into smooth components and oscillation components. For demonstrations, 27 characteristic curves are selected from both typical and non-typical OC protective devices for curve-fitting. The numbers of fitting components required are determined by the desired level of maximum absolute values of errors for the fitting equations. Furthermore, all fitting equations for the characteristics of OC protective devices can be replaced by one single equation representing a universal OC relay which can be used to solve the problems of over-current coordination and the like in the sub-transmission and distribution systems.

中文摘要 i
English Abstract ii
Acknowledgements iii
Contents v
List of Tables vii
List of Figures ix

Chapter 1 INTRODUCTION 1
1.1 Motivations and Purposes 1
1.2 The Researches in the Past 2
1.3 The Algorithm in the Dissertation 3
1.4 The Accuracy in the Dissertation 4
1.5 The Contents in the Dissertation 5

Chapter 2 MODELS OF CONVENTIONAL OVER-CURRENT (OC) PROTECTIVE DEVICES 7
2.1 Electromechanical Over-current (EM OC) Relays 7
2.1.1 Exponential and Polynomial Forms 7
2.1.2 Characteristic Equations Simulation 8
2.1.3 Database Method 11
2.1.4 Artificial Intelligence Techniques 11
2.2 Digital OC Relays 11
2.3 Power Fuses 12

Chapter 3 THE INTRODUCTION OF EIGENSYSTEM REALIZATION ALGORITHM (ERA) 13
3.1 The mathematical concept 13
3.2 The Eigensystem Realization Algorithm (ERA) 14
3.3 Decomposition of the OC Protective Device Characteristic Curves 18
3.4 Results Analysis 21

Chapter 4 CURVE-FITTING CHARACTERISTICS OF VARIOUS TYPE OVER-CURRENT PROTECTIVE DEVICES 22
4.1 Characteristics of Typical (Conventional) OC Protective Devices 22
4.1.1 EM OC Relays 22
4.1.1.1 IAC51 EM OC Relay 22
4.1.1.2 CO-8 EM OC Relay 25
4.1.1.3 Four Various Types of EM OC Relays 28
4.1.2 Digital OC Relays 31
4.1.2.1 IEEE Normal Standard Digital OC Relay 31
4.1.2.2 IEC Normal Standard Digital OC Relay 33
4.1.3 Power Fuses 35
4.2 Non-typical OC Protective Devices 38
4.2.1 Specific Characteristic Curves 38
4.2.2 Fixed-Slope Characteristic Curves 40
4.3 Simulation Results Analysis 42
4.4 Comparison between ERA and ANFIS 48

Chapter 5 THE PRACTICAL APPLICATIONS 54
5.1 Introduction to Universal OC Relay 55
5.2 Completing Characteristic Curve of an OC Adaptive Relay 56
5.2.1 Constant Coordination Time Interval 56
5.2.2 TDS Values below the Decimal Point 57
5.2.3 Results Analysis 58
5.3 The Application in Sub-transmission System 59
5.3.1 A Practical Case 59
5.3.2 Results Analysis 65
5.4 The Application in a Typical Factory 65
5.4.1 A Practical Case 65
5.4.2 Results Analysis 70
5.5 Detecting and Eliminating the Protective Coordination Curve-Intersections 70
5.5.1 A Case Description 71
5.5.2 Adjustment of Bus D#620:67 (Curve d in Figure 5.12) 73
5.5.3 Adjustment of Bus E#620:67 (Curve e in Figure 5.12) 76
5.5.4 Results Analysis 79
5.6 Some Other Profits 79
5.7 Summary 80

Chapter 6 CONCLUSIONS 81

Reference 83

Appendix
A 17 Operating times of IAC51 and CO-8 EM OC Relays 86
B 18 Operating times of RSA20 and CRP9 EM OC Relays 88

Author’s Introduction 90
Author’s Publications 91


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