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研究生:林國恩
研究生(外文):Guo-En Lin
論文名稱:應用描述函數法於比流器暫態激磁電流之估算
論文名稱(外文):To Estimate Transient Exciting Current of Current Transformers by Describing Functions
指導教授:黃思倫黃思倫引用關係吳穎強
指導教授(外文):Sy-Ruen HuangYeiang-Chiang Wu
學位類別:碩士
校院名稱:逢甲大學
系所名稱:自動控制工程所
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:2002
畢業學年度:90
語文別:中文
論文頁數:77
中文關鍵詞:比流器暫態激磁電流描述函數法
外文關鍵詞:current transformertransient exciting currentdescribing functions
相關次數:
  • 被引用被引用:11
  • 點閱點閱:362
  • 評分評分:
  • 下載下載:36
  • 收藏至我的研究室書目清單書目收藏:1
隨著電力需求的增加,電力系統也日益複雜,為了供給龐大的電力用戶,發電容量亦隨之增加。然而電力系統上的高電壓與大電流是無法直接利用儀表量測以及利用此高電壓與大電流進行保護偵測。因此,需要適當的變比器將此高電壓與大電流轉換成一個適當值。變比器包含比流器與比壓器等兩種型式,其中比流器係將大電流轉換成小電流;另一為比壓器係將高電壓轉換成低電壓。但是,當電力系統發生故障,此故障電流流過比流器鐵心時,因故障電流含有過大的直流成份會使得比流器的鐵心發生飽和的現象。若鐵心一旦發生飽和現象時,將會導致鐵心的激磁電流迅速的增加,並造成比流器二次測的電流產生失真的現象,並使量測儀表產生量測誤差與電驛產生誤動作。
本篇論文擬利用雙輸入描述函數法以及暫態描述函數法來計算鐵心飽和後的等效導納值,即可分析比流器二次測電流失真的現象。本文擬以Matlab軟體來撰寫模擬分析程式,並驗證本方法的正確性。
As power systems have grown both in complexity and the increased degrees of fault current. Power system protective relays are playing an important role than before. They require reproduction of the primary current and voltage accurately when faults occur on the system. However, CTs may saturation due to the malfunctions of power systems because of the property of iron-core of CT is non-linearity once CT had saturated, the exciting current of CT would be huge and the secondary current would be distorting. This paper presents the new methods to estimate the transient exciting current of CTs by dual-input describing function (DIDF) and transient describing function (TDF). The proposed algorithms find out the relationships of the flux and exciting current. According to the results of above the accurate transient exciting current could be estimated.
誌謝 ……………………………………………………………………………...i
中文摘要 …………….……………………………………………………………….ii
Abstract …………………………………………………………………………….iii
目錄 ……………………………………………………………………………iv
圖目錄 ……………………………………………………………………………vi
第一章 緒論………………………………………………………………………..1
1.1 前言……………………………………………………………………….1
1.2 文獻研討………………………...………………………………………..5
第二章 故障(暫態)電流分析………………………………………………….…..7
2.1 故障電流的分析………………………………………………...………..7
2.2 影響故障電流的因素…………………………………………...………11
第三章 雙輸入描述函數法(DIDF)與暫態描述函數法(TDF)簡介……………..13
3.1 描述函數法的基本概念……………………………………………..….13
3.2 雙輸入描述函數法……………………………………………………...17
3.3 暫態描述函數…………………………………………………..……….21
第四章 比流器簡介…………………………………………………………...….23
4.1 比流器的構造…………………………………………….……………..23
4.2 影響比流器準確之因素…………………………………...……………29
4.3 比流器之暫態測試方法……………………………………….………..31
第五章 比流器鐵心之等效導納及激磁電流……………………………………34
5.1 理想的飽和鐵心等效導納…………………………………………….…36
5.2 雙斜率飽和鐵心之等效導納…………………………………………….41
5.3 二次側電流補償……………………………………………………….…46

第六章 模擬結果與討論…………………………………………………………..48
第七章 結論………………………………………………………………………..64
參考文獻……………………………………………………………………………..65
[1] 李宏任, “實用保護電驛”, 全華圖書。[2] An IEEE Power System Relay Committee Report, “Gapped Core Current Transformer Characteristics and Performance”, IEEE Transactions on Power Delivery, Vol. 5, No. 4, November 1990, pp. 1732-1740.[3] Vincent Molcrette, Jean-Luc Kotny, Jean-Paul Swan and Jean-Francois Brudny, “Reduction of Inrush Current in Single-phase Transformer Using Virtual Air Gap Technique”, IEEE Transactions on Magnetics, Vol. 34, No. 4, July 1998, pp. 1192-1194.[4] M. Poliak, N. Kolibas, “Computation of Current Transformer Transient Performance”, IEEE Transactions on Power Delivery, Vol. 3, No. 4, October 1988, pp. 1816-1822.[5] D. O’Kelly, “Calculation of the Transient Performance of Protective Current Transformers Including Core Hysteresis”, IEE Proceedings-C, Vol. 139, No. 5, September 1992, pp. 455-460.[6] C. E. Lin, C. L. Cheng, C. L. Huang, J. C. Yeh, “Investigation Of Magnetizing Inrush Current In Transformers Part 1-Numerical”, IEEE Transactions on Power Delivery, Vol. 8, No. 1, January 1993, pp.246-254.[7] C. E. Lin, C. L.Cheng, C. L. Huang, J. C. Yeh, “Investigation Of Magnetizing Inrush Current In Transformers Part 2-Harmonic Analysis”, IEEE Transactions on Power Delivery, Vol. 8, No.1, January 1993, pp.255-263.[8] W. A. Elmore, C. A. Kreamer, S. E. Zocholl, “Effect of Waveform Distortion on Protective Relays”, IEEE Trans. Ind. Applicat., Vol. 29, Mar. 1993, pp. 404-411.[9] Mehdi Vakilian and Robert C. Degeneff, “A Meathod for Modeling Nonlinear Core Characteristics of Transformers During Transient”, IEEE Transactions on Power Delivery, Vol. 9, No.4, October 1994, pp.1916-1925.[10] Luis G. Perez, Alfred J. Flechsig, Jack L. Meador, Zoran obradovic, “Training an Artificial Neural Network to Discriminate Between Magnetizing Inrush and Faults”, IEEE Trans. on Power System, Vol. 9, No. 1, 1994, pp. 434-441.[11] H. S. Bronzeado, P. B. Brongan, R. Yacamini, “Harmonic analysis of transient currents during sympathetic interaction”, IEEE Trans. on Power System, Vol. 11, No. 4, 1996, pp. 2051-2056.[12] Norman T. Stringer, “The Effect of DC Offset on Current-Operated Relays”. IEEE Transactions on Industry Applications, Vol. 34, No. 1, January 1998, pp. 30-34. [13] L.Satish, “Short-time Fourier and Wavelet Transforms for Fault Detection in Power Transformers During Impulse Tests”, IEE Proc.-Sci. Meas. Technol., Vol. 145, No. 2, March 1998, pp. 77-84.[14]劉建志, “諧波對比流器及變壓器用之差動電驛的影響分析”, 中原大學電機 工程研究所碩士論文, 1998.[15] U. D. Annakkage, P. G. Mclaren, E. Dirks, R. P. Jayasinghe and A. D. parker, “A Current Transformer Model Based on the Jiles-Atherton Theory of Ferromagnetic Hysteresis”, IEEE Transactions on Power Delivery, Vol. 15, No. 1, January 2000, pp.57-61.[16] O. Xu, A. Refsum, R.Watson, “Application of External Compensation to Current Transformers”, IEE Proc.-Meas. Technol., Vol. 143, No. 2, March 1996, pp. 147-150.[17] A. T. Johns, “An Algorithm for Compensation Secondary Currents of Current Transformers”, IEEE Transactions on Power Delivery, Vol. 12, No.1, January 1997, pp.116-124.[18] Nicola Locci and Carlo Muscas, “A Digital Compensation Method for Improving Current Transformer Accuracy”, IEEE Transactions on Power Delivery, Vol. 15, No.4, October 2000, pp.1104-1109.[19] Nicola Locci and Carlo Muscas, “Hysteresis and eddy Currents Compensation in Current Transformer”, IEEE Transactions on Power Delivery, Vol. 16, No.2, April 2001, pp.154-159[20]黃政壽, “描述函數法應用於非線性阻尼與非線性電感之研究”, 逢甲大學自動控制工程研究所碩士論文, 1999.[21]李恩杰, “電感飽和特性對變壓器之影響”, 逢甲大學自動控制工程研究所碩士論文, 2000.[22]林敬穎, “應用描述函數法估計轉換器連續導通模式與不連續導通模式”, 逢甲大學自動控制工程研究所碩士論文, 2001[23]曹志豪, “比流器飽和特性對差動保護之影響”, 逢甲大學電機工程研究所碩士論文, 2001.[24]吳昭德, “應用描述函數法估計整流器的諧波特性”, 逢甲大學自動控制工程研究所碩士論文, 2001.[25] Allan Greenwood, “Electrical Transients in Power Systems”, second edition, JOHN WILLY & SONS, INC 1991. [26] Arthur Gelb, Sc. D. and Wallace E. Vander Velde, Sc. D., “Multiple-Input Describing Functions and Nonlinear System Design”, McGraw-Hill, 1968.[27] John R. Linders, C. W. Barnett, J. W. Chadwick, Jr., P. R. Drum, K. J. Khunkhun, W. C. Kotheimer, P. A. Kotos, D. W. Walton, and S. E. Zocholl, Jr., “Relay Performance Considerations with Low-Ratio CT’s and High-Fault Currents”, IEEE Transactions on Industry Applications, Vol. 31, No. 2, March/April, 1995, pp.392-404.[28] IEEE Std. C37. 110-1996, IEEE Guide for the Application of Current Transformers Used for Protective Relaying Purposes.
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