在過去二十年裡，為了減少虛功率及諧波成份的問題，提出及研究了各式的功因校正電路。然而，在單相交直流轉換電路中，固有的存在著二次諧波的問題，二倍頻成份會影響電路特性及輸出電壓品質，雖然串聯型LC共振濾波器可以濾除低頻諧波，但濾波器體積龐大且較重，或是以使用容值大的電容做為一階被動低通濾波器，但有也著電容值過大及可靠度則較差的問題，較不實用。因此，本論文主要在探討如何解決上述基本問題，並提出有效的解決辦法。
本論文主要貢獻歸納如下：首先，提出一個以廣義零向量為基礎之單向功因校正電路，用以消減二次線頻諧波。使用狀態平均技術法推演相對應的數學模型。第二，為簡化分析結果，亦推演出實用之二次諧波模型。相對應的數學解析式清楚的顯示出二次線頻產生的關係。第三，根據推演出之二次諧波解析式，提出一控制策略以有效消減二次諧波，可使輸出端成為近乎純淨之直流電壓，給予負載用戶端良好的來源。第四，提出簡單的被動元件參數設計準則，可於不同應用場合之諧波要求做出更經濟且適當的設計。最後，建立一雛型系統以驗證二次線頻諧波消減控制之效果。可消減72%以上的輸出電壓二次諧波成份。

Over the past two decades, various power factor correction (PFC) circuits have been proposed and studied to reduce the harmonic and reactive power. However, for a single phase case, there exists inherently double line frequency harmonic. Although an LC series resonant filter can be designed to filter the low frequency harmonic, however, the filter is bulky and heavy. Alternatively, one can use a very large capacitor as a first order passive low pass filter. Again, the volume and reliability become less attractive. Therefore, the major objective of this thesis is focused on proposing an active solution to solve the fundamental problem.
Basically, the major contributions of this thesis can be summarized as follows. First, a newly developed single-stage PFC circuit based on the Generalized Zero Vector (GZV) is adopted for reducing the double line frequency harmonic. The well known state-space averaging technique is then used to derive the corresponding mathematical model. Second, for simplifying the analytic solution, an approximate but more practical double line frequency model is also derived. The corresponding analytic relations reveal clearly the double line frequency harmonic generation mechanism. Third, based on this understanding, a feedback control strategy is proposed for reducing the double line frequency harmonic greatly. Fourth, some design criteria are provided for easy parameter decision of the passive components. Finally a 100W prototype with 110Vrms AC input and 48V DC output is constructed for verifying the effectiveness of the proposed control strategy. It is seen that more than 72% reduction in the amplitude of the double line frequency component can be achieved.

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