由於高鐵牽引系統中，牽引負載之單相供電需求、急遽變化的運轉特性及大容量電力電子轉換電路的使用，容易造成共同耦合點的電壓不平衡及諧波污染等問題，本論文提出分析及解決此電力品質問題之策略，以提昇電力設備使用率，亦可達成台灣電力公司對台灣高鐵公司電壓不平衡及諧波管制標準之要求。
本論文首先推導以牽引負載電流（或導納）、牽引變壓器（單相、V型、Scott型、Y-△型、Le Blanc型、Modified Woodbridge型牽引變壓器）之相電壓相角差及相電壓比表示牽引變壓器一次側之相序對稱電流公式，依電壓不平衡率定義及牽引變壓器二次側兩端負載率互為獨立之特性，計算及繪製出各型牽引變壓器兩端負載率變動時之電壓不平衡率評估值及曲面圖，繼之，依牽引負載特性，提出各型牽引變壓器適用的靜態虛功率補償器(SVC)；V型及△型SVC架構，以改善牽引負載所造成之電壓不平衡，並針對牽引負載及SVC運轉時可能造成的諧波值及分佈，分別以電流轉換式及傅立葉分析式進行諧波之模擬及分析，使用三維曲面完整呈現兩端負載率變動時其諧波電流值的大小變化與分佈。最後，以Scott型牽引變壓器為例，於其適用的SVC架構下設計3,5,7次單調型濾波器，同時驗證其電壓不平衡之改善及諧波抑制之能力。
依據高鐵系統的牽引變電所相關參數進行模擬，利用本論文所提出的各項理論分析與方法，評估系統可能的最大電壓不平衡率及諧波，並提出改善及因應之策略。相信可做為國內外相關工程師及顧問在執行相關規劃、設計及運轉參考，對系統的不平衡及諧波之防範與改善措施，亦得以具體地提出與執行。

Due to the characters of the single phase source supplying, rapid load demand and heavy-capacity power electric converters used on the traction loads of Taiwan High Speed Rail(HSR), the power harmonics and Voltage unbalance problems are brought out at the Point of Common Coupling(PCC) of the power system of Taiwan Power Company(TPC). For the promotion of the power device’s utility rate and the fulfillment of power quality requirement of Taiwan Power Company, a method is proposed to analysis and solve the problems in the study.
The formulae, derived by the symmetrical component method, using the traction load current(or admittance), the phase differential angle and the phase voltage ratio of various type of the traction transformers(single phase type、V type、Scott type、Y-△ type、Le Blanc type and Modified Woodbridge type) represent the symmetrical current component at the primary side of the traction transformer. Then, with the definition of voltage unbalance and the assumption of the planning loads on each single source at the HSR substation are mutually independent, the unbalance voltage factors and figures of all types of traction transformers are calculated and drawn at PCC. New Static Var Compensator(SVC) schemes, V and △ type SVC, are designed in accordance with the characters of the train and the type of traction transformer to improve the voltage unbalance. Using the load current transform formula and Fourier transform to simulate of the harmonic current produced by the traction load and SVC, the magnitude and distribution of harmonic during the load change is represented by using 3 dimension figures. Finally, a Scott type transformer is tied with the appropriate SVC schemes, derived in this dissertation, incorporated with 3rd, 5th, 7th single tune filters, the new schemes are verified to improve voltage unbalance and to restrict the harmonic.
With the parameters of the traction substation, the maximum voltage unbalance and the harmonic magnitude is evaluated by the proposed method, the improving strategies are proposed and verified by a simulation. The results are valuable to the engineers and consultants involved in this field. The means to prevent or restrict the degrees of voltage imbalances and harmonic on a power system can therefore be proposed and executed in the future.

[1]R. Barnes and K. T. Wong, “Unbalance and Harmonic Studies for the Channel Tunnel Railway System,” IEE Proceedings-B, Vol.138, No.2, pp.41-50(1991).
[2]Roussel, H., “Power Supply for the Atlantic TGV High Speed Line,” Proc. of International Conference on Main Line Railway Electrification, pp.382-392, York,UK(1989).
[3]Ross, B. A., “ Meeting Tomorrow’s Railroad Power Requirements,” IEEE Transactions on Power Apparatus and Systems, Vol. 90, No. 2, pp.393-400(1971).
[4]李睿中，「高速鐵路運轉對台電系統三相不平衡之影響」，碩士論文，國立清華大學電機工程學系，民國八十七年。
[5]陳在相、郭宏源、鍾子揚、張永良、劉志放，「高速鐵路負載對輸電系統不平衡影響之研究」，台灣電力公司電力綜合研究所研究計劃，期末報告，民國八十三年。
[6]陳士麟等，「高速鐵路牽引動力主變電站設計與越區饋電之影響評估」，交通部高速鐵路工程局報告，民國九十一年九月。
[7]T. H. Chen, “Criteria to Estimate the Voltage Unbalances due to High-Speed Railway Demands,” IEEE Transactions on Power System, Vol.9, No.3, pp.1672-1678(1994).
[8]W. S. Chu, J. C. Gu, B. K. Chen and S. Y. Lee, “New Criteria for Estimating Voltage Unbalance Due to Special Connected Transformers in High Speed Railway Systems,” International Journal of Emerging Electric Power Systems, Vol.4, Issue 1(2005).
[9]施文林，「鐵路系統不同結線變壓器對台電系統不平衡之分析」，碩士論文，大同工學院電機工程研究所，民國八十八年。
[10]Gyugyi, L., R. A. Otto and T. H. Putman, “Principles and Applications of Static, Thyristor-Controlled Shunt Compensators,” IEEE Transaction on Power Apparatus and Systems, Vol.97, No.5, pp.1935-1945（1978）.
[11]廖啟明，「平衡與不平衡負載之線上功因補償與平衡控制」，碩士論文，國立台灣工業技術學院，民國八十一年。
[12]神谷昌宏，高木浩及柴崎誠等，「新幹線對策的無效電力補償裝置(SVC)」，日新電機技報，Vol.29, No.4, pp.29-47(1984).
[13]Kawahara, K., Hase, S.-I., Mochinaga, Y.; Hisamizu, Y. and Inoue, T. “Compensation of Voltage Drop Using Static Var Compensator at Sectioning Post in AC Electric Railway System,” Power Conversion Conference, IEEE, Nagaoka, Japan(1997).
[14]T. S. Sai-zio, The new technical of unbalanced load policy, Modern Distribution Technology, Japan Nation Railway Technology Research Institute(1997).
[15]陳保成，「台灣高速鐵路系統責任分界點電力品質分析」，國立清華大學電機工程學系碩士論文，民國九十一年。
[16]IEEE Std. 141-1986, IEEE Recommended Practice for Electric Power Distribution for Industrial Plants, New York: Wiley-Interscience, pp.90-91(1986).
[17]黃維澤，「電壓、電流不平衡率定義之探討與分析」，國立台灣科技大學電機工程系，碩士學位論文，中華民國八十八年。
[18]IEC Std. 1000-2-1, 1990.
[19]IEC Std. 1000-2-2, Electromagnetic Compatibility, Part 2: Environment, Section 2: Compatibility levels for low-frequency conducted disturbances and signaling in public low-voltage power supply systems(1990).
[20]ANSI C84.1-1995, Electric Power Systems and Equipment-Voltage Ratings. National Electrical Manufacturers Association (1995)
[21]IEEE Std. 519-1992, IEEE Recommended Practices and Requirements for Harmonic Control in Electric Power Systems, New York(1993).
[22]江榮城，「電力品質實務(一)」，全華科技圖書股份有限公司，民國八十九年。
[23]J. Arrillaga, D. A. Bradley and P. S. Bodger, Power System Harmonics, John Wiley & Sons, New York, 1985.
[24]Arrillaga, J., Smith, B. C, Watson, N. R, and Wood, A. R, Power System Harmonic Analysis, John Wiley & Sons, Chichester (1997).
[25]江榮城，陳士麟和顏世雄，「諧波管制標準之研擬」，台電工程月刊，第526期，pp.36-42(1992)
[26]交通部高速鐵路工程局網站http://www.hsr.gov.tw/homepage.nsf /Electric_Mechanic?OpenFrameset
[27]L. Hu, R. E. Morrison, and D. J. Young, “Reduction of Harmonic Distortion and Improvement of Voltage Form Factor in Compensated Railway Systems by Means of A Single Arm Filter,” Proc. of the IEEE Conference on Harmonics in power Systems, Atlanta, pp.83-88(1992).
[28]B. K. Chen and B. S. Guo, “Three Phase Models of Specially Connection Transformers,” IEEE Transactions on Power Delivery, Vol.11, No.1, pp.323-330(1996).
[29]郭宏源，「高速鐵路牽引負載對輸電系統不平衡之影響研究」，國立台灣工業技術學院電機工程技術研究所博士論文，民國八十五年。
[30]李源洲，「Matlab/Simulink在高速鐵路牽引饋電系統模擬程式開發上之應用」，國立台灣科技大學電機工程系碩士論文，民國九十一年。
[31]高速鐵路電力系統研討會，國立清華大學主辦，交通部高速鐵路工程局等協辦，民國八十七年。
[32]林宗志，「高速鐵路諧波抑制策略之研究」，國立台灣科技大學電機工程系碩士學位論文，民國九十四年。
[33]Y. Mochinaga, Y. Koyama, and T. Takeuchi, “Isolation Level Reduction of three-Winding Scott-Connected Transformer on Shinkansen at Feeder Circuit,” T. IEE Japan, pp.570-579(1990).
[34]A. C. Franklin and D. P. Franklin, J&S Transformer Book , 11th Edition, Butterworths(1983).
[35]黃炎煌，台鐵電化路線電力供應概要，台灣鐵路管理局，民國八十七年。
[36]李群湛，「電氣化鐵道並聯綜合補償及其應用」，中國鐵道出版社，1994。
[37]林智偉，「利用系統變換法分析鐵路牽引系統之諧波分佈與改善」，國立台灣科技大學電機工程系碩士論文，民國九十年。
[38]Z. Li, and Q. Z. Li, “Application of TSC in Reactive Compensation in Traction Substations,” Autonomous Decentralized Systems, Proc., pp.149-153(2000).
[39]台灣高速鐵路，牽引電力變電所新設工程，明達工業技師事務所，民國八十九年。
[40]許明童，「虛功補償用並聯電容器組開關暫態之研究」，國立台灣大學電機工程研究所碩士論文，民國八十七年。
[41]M. Methinier, “High speed railway,” Electrical Power Supply Preliminary Report(1992).
[42]G. Celli, F. Pilo, and S. B. Tennakoon, “Voltage Regulation on 25kV AC Railway Systems by Using Thyristor Switched Capacitor,” Harmonics and Quality of Power, IEEE Proc., Vol.2, pp.633-638(2000).
[43]李群湛等，「諧波綜合治理試點方案可行性研究報告－晶閘管投切濾波器」，西南交通大學電氣工程學院/鐵道部電氣化工程局電氣化勘測設計研究院/鐵道部第二勘測設計院，1998。
[44]T. J. E. Miller, Reactive Power Control in Electric System, John Wiley & Sons, New York, 1982.
[45]Q. Z. Li, J. S. Zhang, and Q. Q. Qian, “Optimization Design on Series Tuning Filtering and Reactive Compensation Used in Traction System,” 312 International Conference on Main Line Railway Electrification, IEE Conference Publication, pp.222-223(1989).
[46]Lacote F., “The New Generation of SNCF High-speed Rolling Stock Atlantic TGV Rolling Stock,” The Atlantic TGV, pp.61-72(1986)
[47]李尚懿，「三相不平衡配電饋線無效功率補償方法之研究」，國立台灣工業技術學院電機工程技術研究所博士論文，民國八十四年。
[48]Gyugyi, L. and E. R. Taylor, Jr., “Characteristics of Static, Thyristor-Controlled Shunt Compensators for Power Transmission System Applications,” IEEE Transaction on Power Apparatus and systems, Vol.99, No.5, pp.1795-1804(1980).
[49]Bohmann, L. J. and R. H. Lasseter, “Equivalent Circuit for Frequency Response of a Static Var Compensator,” IEEE Transaction on Power Systems, Vol.1, No.4, pp.68-74(1986).
[50]江榮城，「電力系統串並聯共振分析與諧波問題改善技術」，國立台灣科技大學電機工程技術研究所博士論文，民國八十七年。