傳統功因校正之電力轉換器一般為雙級式，第一級為功因校正級，第二級為電力轉換級，因需要使用兩個開關控制，相對的增加元件成本及電路的複雜性。為了改善此缺點，在不影響前後兩級電路之動作下，將功因校正級與電力轉換級開關合併，形成單級功因校正電力轉轉換器。單級功因校正電力轉換器在應用上，必須考慮三個基本要件：1.功因校正；2.輸出穩壓(regulation)；3.bulk電容之電壓應力。
吾人在論文中以並聯式功因校正(PPFC)概念為基礎，將單級隔離型PPFC電力轉換器改善為嶄新單級並聯返馳式電力轉換器，確實能有效的減緩bulk電容電壓且消除輸入電流死帶，提升功率因數。本電力轉換器三個電感均操作於DCM模式，不但天生具有高功因的特性，而且可以避免bulk電容高電壓應力的問題，此為本電力轉換器操作於DCM+DCM+DCM模式的主要原因。
論文中首先，針對嶄新單級並聯返馳式HPFC電力轉換器，分析電路動作原理。再應用平均化法，推導電力轉換器之直流工作點及其小信號數學模式；並應用CIECA法推導數學模式，以驗證平均化法所推導之數學模式的正確性，然後設計電力轉換器之元件規格。此外，推導本電力轉換器之功率因數，同時應用模擬軟體IsSpice驗證直流工作點是否正確。
最後以實作之量測結果驗證小信號數學模式之正確性，並應用控制理論，設計PI及可變結構控制器，將輸出電壓加以穩壓。由實作結果可知，加入控制器後並不會影響電力轉換器的功因校正能力，而且能夠達到負載變動穩壓的要求。

A conventional PFC power converter are commonly two stages. The first is PFC stage, and the second is power regulation stage. To this end, it needs two controlled switches. This causes more costs for complicated structure of the converter. To improve this defect, these two switches are integrated to form a single-stage PFC power converter. Three basic requirements for a single-stage power converter are power factor correction, output voltage regulation, and the voltage stress of the bulk capacitor.
On the basis of parallel power factor correction, a single-stage isolated parallel power converter is modified to create a new single-stage power converter which mitigates the voltage stress of bulk capacitor and eliminates the dead band of the input current. Hence it has high power factor. Since three inductors are all operating in DCM mode, the novel converter inherently exhibit high power factor and lower voltage stress at the light loads. It is thereby the main reason for the proposed converter to operate in DCM+DCM+DCM mode.
In this thesis, the operation of the novel converter is analyzed, and then the small-single model linearized around the operating point is derived by applying the averaging method, the current injected equivalent circuit approach is also employed to establish the small-signal model. Two derived models are compared to verify the results. To proceed the values of all components of the proposed converter are also designed. The power factor is calculated and the operating point is ensured by IsSpice simulations.
At last, experimental results are used to verify the accuracy of small-signal model by the illustration of Bode plots. Two voltage controllers, PI controller and variable-structure controller, are needed to regulate the output voltage. The experimental results show that both controllers can regulate the output voltage under line voltage and load variations. It also keep the inherent capacity of PFC of the converter.

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