應用LFR模型，本論文提出：harmonics balance法及TL-model法，以推導基本AC/DC電力轉換器輸出電壓之直流值、漣波大小及相位角偏移量。接著利用LFR模型與系統方塊圖，可推導出基本AC/DC電力轉換器，操作於DCM模式下之直流工作點及小信號數學模式。不必藉由平均化狀態微分方程式，即可分析電力轉換器之動態行為，為本論文之主要特點。

　　此外，吾人應用接枝法，將降升壓式(buck-boost)電力轉換器與寬範圍導通率對角半橋型返馳式(diagonal half-bridge flyback)電力轉換器合併，設計出嶄新單級HPFC對角半橋型返馳式電力轉換器。本文中的嶄新單級HPFC電力轉換器，當前級之降升壓型電力轉換器操作於DCM模式時，天生就具有功因校正能力，故無須設計功因校正控制器。

　　單級HPFC電力轉換器，除了需具備功因校正能力及輸出穩壓之雙重功能外，亦要求儲能電容電壓不受負載變動的影響。經由電路分析及狀態方程式推導，當電力轉換器操作於DCM+DCM模式時，嶄新單級HPFC電力轉換器之儲能電容電壓與負載 無關，可避免儲能電容之高電壓應力。故論文中所提出的電力轉換器(DCM+DCM)具有輸入端功因為1、儲能電容電壓應力小及輸出穩壓之功能。

　　確定電力轉換器操作於DCM+DCM模式後，即可建立嶄新單級HPFC電力轉換器之LFR模型，並利用LFR模型之TL-model法，分析其儲能電容電壓及輸出電壓之直流值、漣波大小及相位角偏移量。再依據電力轉換器之操作條件，設計出轉換器之元件規格。

　　吾人完成一組規格為輸出電壓 及輸出功率 之電力轉換器以驗證理論分析。利用IsSpice模擬與電路實作，實地驗證了理論推導之正確性。

　　Based on the LFR model, the harmonics balance and TL-model methods are proposed in the work to derive the dc values, voltage ripples, and phase angle shift of the output voltage. By virtue of the LFR model and system block diagrams, we can derive the DC operating point and the small-signal model of the basic AC/DC converters under the operation of the DCM mode. Rather than the averaged state equations, the dynamic behaviors of a converter can be well established. It is the main contribution of this thesis.

　　In addition, by means of graft scheme, the buck-boost power converter and improved wide range diagonal half-bridge flyback power converter are combined to create a novel single-stage high power factor correction (HPFC) diagonal half-bridge flyback converter. The novel single-stage HPFC converter proposed in this thesis has inherent gift of power factor correction (PFC), when the buck-boost converter in the first stage is operating in DCM mode. Hence the PFC controller is not necessary to be designed.

　　In addition to PFC, the output voltage regulation and the bulk capacitor voltage invariance with the load variations must be considered. It reveals from the circuit analysis and averaged state equations that the high bulk capacitor voltage stress of the novel single-stage HPFC converter is avoided while the power converter is operating in DCM+DCM mode. The proposed converter (DCM+DCM) exhibits high power factor , low voltage stress of the bulk capacitor, and the output voltage regulation.

　　With the operating in DCM+DCM mode of the power converter, the LFR model of the novel single-stage HPFC converter is established. By virtue of the TL-model method on the LFR model, we can analyze the dc values, voltage ripples, and phase angle shift for the bulk capacitor and output voltages. Moreover, component values of the converter are well designed according to the conditions of the proposed converter operation.

　　A prototype of power converter with output voltage 48 V and power 100 W is built to test the theoretical analysis. It is successfully validated by IsSpice software simulations and experimental results.

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