單相感應電動機在電動捲窗低轉速應用上，常用齒輪組來降低轉速，由於齒輪組在減速過程中會產生噪音且降低可靠性。故使用變頻方式取代齒輪組來降低單相感應電動機之轉速，以減少噪音並增加可靠性。但由於單相感應電動機變頻之後無法維持原先啟動轉矩。所以本文應用雙旋轉磁場的數學模型求得最佳電容值，在不改變電機線流規格下搭配升電壓方式提升單相感應電動機在低頻時啟動轉矩。由模擬結果可知，單相感應電動機操作在低頻時可提供較高於原高速下之啟動轉矩，符合低轉速高啟動轉矩之要求。

For low speed application, the gear box is used to reduce the speed of the single phase induction motor, but it will produce noise and reduce reliability. Therefore, the variable-frequency method to diminish speed was developed in field application. The main advantages of this method can reduce the noise of the gear box and increase the reliability. However the single phase induction motor can not maintain original starting torque under variable-frequency. In this thesis, the optimum capacitance was evaluated based on the double revolving-field theory ( DRFT ).And, up-voltage that does not influence the current specification of the machine are used to promote starting torque at low frequency. Simulation results indicate that the starting torque of variable- frequency method is higher than that of nominal frequency. The operation requirement of low speed and high starting torque is also conformed.

[1]　 陳建富，整合型太陽能光電板結合建築外殼之效
益分析，民國94。
[2] 參考網址：http://www.tubular-
motor.com.tw/c-05.htm
[3] 　S. J. Chapman, “Electric Machinery
Fundamentals ,” McGraw-Hill,
1999.
[4]　 劉昌煥，電機機械，臺灣東華書局股份有限公
司，民國88。
[5]　 楊沛霖，正齒輪滾滑動特性與齒面疲勞試驗模型
之比較，國立成大學機械工程
研究所碩士論文，民國88。
[6]　 謝慶雄譯，機構學，美商麥格羅•希爾國際股份有
限司，民國85年。
[7]　 邱鴻順，電梯減速機機構之強度分析，國立交通
大學機械工程研究所，民國88。
[8]　 N. Mohan, T. M. Undel and W. P. Robbins,
“ Power Electronic, ” John　
　　 Wiley＆Sons Inc., 2003.
[9] 交通部中央氣象局，颱風百問，交通部中央氣象
局發行，民國93。
[10] C. J. Kim, C. Y. Choi, D. E. Lee, G. S.
Choi, and S. H. Beak, “Torque
Characteristics of Single Phase Induction
Motor for Phase Control
Method,” IEEE Electrical Machines and
System Conference, Vol.2, No.1,
pp.510 - 513, November 2003.
[11] A. S. Ba-thunya, R. Khopkar, K.Wei, and H.
A. Toliyat, “ Single Phase
Induction Motor Drivers-A Literature
Survey,” IEEE Eletrical Machines
and Drives Conference, pp.911 – 916, 2001.
[12] C. B. Rasmussen and T. J. E. Miller, “
Revolving-Field Polygon
Technique for Performance Prediction of
Single-Phase Induction Motors,”
IEEE Transactions on Industry
Applications, Vol.39, Issue 5, pp. 1300-
1306, September/ October 2003.
[13] H. Nam, S. K. Jung, G. H. Kang, J. P.
Hong, T. U. Jung, and S. M. Bake,
“Design of Pole-Change Single-Phase
Induction Motor for Household
Appliances,” IEEE Transactions on
Industry Applications, Vol.40,No.3,
pp. 457-462, May/June 2004.
[14] W. J. Morrill, “ The Revolving Field
Theory of the Capacitor Motor,”
Transactions on AIEE, Vol. 48, pp. 614-
629, April 1929.
[15] D. Toro, “ Basic Electric Machines,”
Prentice Hall Co., 1996.
[16] P. C. Sen, O. Wasynczuk, and S. D.
Sudhoff , “ Electric Machinery and
Drive Systems,” John　Wiley＆Sons Inc.,
2002.
[17] D. H. Jang and J. S. Won, “ Voltage,
Frequency, and Phase-Difference
Angle Control of PWM Inverters-Fed Two-
Phase Induction Motor, ” IEEE
Transactions on Power Electronics, Vol. 9,
No. 4, July, 1994.
[18] E. R. Collins, “ Torque and Slip Behavior
of Single-Phase Induction
Motors Driven from Variable-Frequency
Supplies,” IEEE Transactions on
Industry Electronics, Vol. 28, No. 3,.
February/June, 1992.
[19] E. R. Collins and R. E. Ashley, “
Operating Characteristics of Single-
Phase Capacitor Motors Driven from
Variable Frequency Supplies,” IEEE
Industry Applications Society Annual
Meeting, 1991.
[20] H. Saadat, “ Power System Analysis,”
McGraw-Hill, 2000.
[21] T. H. Liu, “ A Maximum Torque Control
with a Controlled Cpacitor for a
Single-Phase Induction Motor,” IEEE
Transactions on Industry
Electronics,Vol.42,No.1,Feb.1995.
[22] P. C. Krause, “ Simulation of
Unsymmetrical 2-Phase Induction
Machines,” IEEE Transactions on Power
Apparatus and Systems, Vol. PAS-
84, No. 11, pp. 1025-1037, 1965.
[23] 鄭桂水，Mathcad 2000實用教程，國防工業出版
社，民國89年。
[24] 楊智旭、張嘉峰、楊政達，Matlab進階與工程問
題應用，全威圖書有限公司，民國
92年。
[25] 張智星，Matlab程式設計與應用，清蔚科技，民
國89年。
[26] T. A. Lipo and D. W. Novotny, “ A New
Induction Motor V/F Control
Method Capable of High-Performance
Regulation at Low Speeds,” IEEE
Transactions on Industry Applications,
Vol. 34, No. 4, July/August 1998.