本文針對電氣化軌道負載上經常使用的三種特殊接線變壓器（V-V接線、Scott接線和LeBlanc接線）進行研究。由於小波轉換相較於傅立葉轉換，能夠提供更好的時間和頻率分辨率，所以本文利用離散小波轉換搭配多層解析分解以及資料重建的訊號處理方式，應用於計算IEEE Standard 1459-2010定義下的各種電力量。
電氣化運輸系統為國家的重要經濟建設，在建設的過程中將使用大量的電力電子設備。由於電力電子設備容易產生電力品質的問題，可能導致設備損壞，所以有效的監控不良電力品質成為重要的研究課題。透過探討負載特性對電力量計算值的影響，包括諧波汙染和負載不平衡等，並找出不良電力品質負載特性與電力量計算值之間的關係。使用戶能以電力量作為電力品質的參考依據，能適時地注意並改善電力品質。

In this thesis, three special connected transformers (V-V connection, Scott connection, and LeBlanc connection), which are often used in electrified track loading, are studied. Since wavelet transform provides better time and frequency resolution than Fourier transform, this thesis uses discrete wavelet transform with multi-layer resolution decomposition and data reconstruction signal processing to calculate various electric power qualities as defined in IEEE Standard 1459-2010.
The electrified transportation system is an important economic construction of the country, and a large number of electrical and electronic devices will be used in the process of construction. Since power electronic equipment is prone to power quality problems, which may lead to equipment damage, effective monitoring of bad power quality is an important research issue. By investigating the influence of load characteristics on the calculated value of electric power qualities, including harmonic pollution and load imbalance, the relationship between the load characteristics of bad power quality and the calculated value of electric power qualities is found and characterized. Users can use electric power qualities as a reference for power quality so that they can pay attention to and improve power quality in a timely manner.

[1] IEEE Recommended Practices and Requirements for Harmonic Control in Electrical Power Systems, IEEE Standard 519, June, 2014.
[2] IEEE Standard Definitions for the Measurement of Electric Power Quantities Under Sinusoidal, Nonsinusoidal, Balanced, or Unbalanced Conditions, IEEE Standard 1459, March, 2010.
[3] D.C. Robertson, O.I. Camps, J.S. Mayer, and W.B. Gish, “Wavelets and electromagnetic power system transients,”, IEEE Transactions on Power Delivery, vol. 11, no. 2, pp. 1050-1058, April, 1996.
[4] R. Arseneau, Y. Baghzouz, J. Belanger, K. Bowes, A. Braun, A. Chiaravallo, M. Cox, S. Crampton, A. Emanuel, P. Filipski, E. Gunther, A. Girgis, D. Hartmann, Shu-Dong He, G. Hensley, D. Iwanusiw, W. Kortebein, T. McComb, A. McEachern, T. Nelson, N. Oldham, D. Piehl, K. Srinivasan, R. Stevens, T. Unruh, and D. Williams,“Practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion,” IEEE Transaction on Power Delivery, vol. 11, no. 1, pp.79-101, January, 1996.
[5] R. Arseneau, Y. Baghzouz, J. Belanger, K. Bowes, A. Braun, A. Chiaravallo, M. Cox, S. Crampton, A. Emanuel, P. Filipski, E. Gunther, A. Girgis, D. Hartmann, Shu-Dong He, G. Hensley, D. Iwanusiw, W. Kortebein, T. McComb, A. McEachern, T. Nelson, N. Oldham, D. Piehl, K. Srinivasan, R. Stevens, T. Unruh, and D. Williams, “A survey of North American electric utility concerns regarding nonsinusoidal waveforms,” IEEE Transaction on Power Delivery, vol. 11, no. 1, pp. 73-78, January, 1996.
[6] A. E. Emanuel, “On the definition of power factor and apparent power in unbalanced polyphase circuits with sinusoidal voltage and currents,” IEEE Transaction on Power Delivery, vol. 8, no. 3, pp. 841-852, July, 1993.
[7] A. E. Emanuel, “Summary of IEEE standard 1459: definitions for the measurement of electric power quantities under sinusoidal, nonsinusoidal, balanced, or unbalanced conditions,” IEEE Transaction on Industry Applications, vol. 40, no. 3, pp. 869-876, May-June, 2004.
[8] B. K. Chen and B. S. Guo, “Three phase models of specially connected transformers,” IEEE Trans. on Power Delivery, vol. 11, no. 1, pp. 323-330, 1996.
[9] D. V. Richardson, “Rotating Electric Machinery and Transformer Technology,” Reston Publishing Co. Inc., Virginia, pp. 418-423, 1978.
[10] A. E. Emanuel, “The Buchholz-Goodhue apparent power definition: the practical approach for nonsinusoidal and unbalance systems,” IEEE Transaction on Power Delivery, vol. 13, no. 2, pp. 344-350, 1998.
[11] P. S. Filipski, and P. W. Labaj, “Evaluation of reactive power meters in the presence of high harmonic distortion,” IEEE Transaction on Power Delivery, vol. 7, no. 4, pp. 1793-1799, 1992.
[12] R. Arseneau, Y. Baghzouz, J. Belanger, K. Bowes, A. Braun, A. Chiaravallo, M. Cox, S. Crampton, A. Emanuel, P. Filipski, E. Gunther, A. Girgis, D. Hartmann, Shu-Dong He, G. Hensley, D. Iwanusiw, W. Kortebein, T. McComb, A. McEachern, T. Nelson, N. Oldham, D. Piehl, K. Srinivasan, R. Stevens, T. Unruh, and D. Williams, “Practical definitions for powers in systems with nonsinusoidal waveforms and unbalanced loads: a discussion,” IEEE Transaction on Power Delivery, vol. 11, no. 1, pp. 79-101, 1996.
[13] T. H. Fu and C. J. Wu, “Load characteristics analysis of ac and dc arc furnaces using various power definitions and statistic method,” IEEE Transaction on Power Delivery, vol. 17, no. 4, pp. 1099-1105, 2002.
[14] C. J. Wu, C. P. Huang, T. H. Fu, T. C. Zhao, and H. S Kuo, “Power factor definitions and effect on revenue of electric arc furnace load,” International Conference on Power System Technology, KunMing, China, vol.1, pp. 93-97, December, 2002.
[15] 吳啟瑞、黃鎮平、林俊男、傅祖勳、彭士開、顏榮良、韓明紘、張洋三，「功率因數定義對電費差異之影響」，94年節約能源論文發表會，第194~212頁，民國94年6月8日
[16] I. Daubechies, Ten Lectures On Wavelets, Society for Industrial and Applied Mathematics, 1992.
[17] S. Kashyap and A. K. Singh, “Most suitable mother wavelet for measurement of power system harmonics using DWT in view of IEEE standard 1459-2000,” in 2008 13th International Conference on Harmonics and Quality of Power, Wollongong, NSW, Australia, pp. 1-6, 2008.
[18] 張簡博全，應用小波轉換與人工智慧進行具偵測與修正比流器飽和功能之過電流電驛晶片設計，碩士學位論文，中原大學電機工程系，2006。
[19] 高志，MATLAB小波分析工具箱原理與應用，國防工業出版社，2004。
[20] 蘇嬛嬛，利用小波轉換於電力量計算之FPGA實現，碩士學位論文，國立臺灣科技大學電機工程系，2013。
[21] 黃舜鴻，利用小波之電力品質與電壓閃爍計算及分析，碩士學位論文，國立臺灣科技大學電機工程系，2012。
[22] W. G. Morsi and M. E. EI-Hawary, “Reformulation power components definitions contained in the IEEE standard 1459-2000 using discrete wavelet transform,” IEEE Transaction on Power Delivery, vol. 22, no. 3, July, 2007.
[23] W.-K. Yoon and M. J. Devaney, “Reactive power measurement using the wavelet transform,” IEEE Transactions on Instrumentation and Measurement, vol. 49, no. 2, April, 2000.
[24] B. K. Chen and B. S. Guo, “Three phase models of specially connected transformers,” IEEE Transaction on Power Delivery, vol. 11, no. 1, pp. 323-330, 1996.
[25] I. L. Kosow, Electric Machinery and Transformer, Prentice-Hall, New York, pp. 559-562, 1991.
[26] J. C. Brittain, “Charles F. Scott: A pioneer in electrical power engineering,” IEEE Industry Applications Magazine, Nov., pp.6-8, 2002.
[27] A. C. Franklin and D. P. Franklin, The J&P Transformer Book, 11th Ed., London, U.K.:Butterworths, pp.166-195, 1983.
[28] T. H. Chen and H. Y. Kuo, “Network modeling of traction substation transformers for studying unbalance effects,” IEE Proc. Generation. Transmission. Distribution, vol. 142, no. 2, pp. 103-108, 1995.
[29] R. C. Dugan, M. F. McGranaghan, S. Santoso, and H.W. Beaty, Electrical Power Systems Quality, 6th Ed.,” The McGraw-Hill Companies, 2003.
[30] 林雪海，No.1 IEC電能質量標準化的進展，中國電力科學研究院，北京，中國，2015。