功率因數修正器被廣泛使用在電源轉換器中，用以改善交流電源端功率因數的電路，為了提升功率密度與轉換效率，本文採用四階飛馳電容式功率因數修正器搭配相移調變技術(Phase Shift Pulse Width Modulation, PSPWM)，能使箝位電容達到電壓平衡，並增加電感的等效頻率。在額定的電流漣波下，能使用小感值的電感，降低電感體積。由於開關元件跨壓減少，因此有較低的切換損，而電路會使用電容做為電壓箝位。綜上所述，四階飛馳電容式功率因數修正器能達到高效率和高功率密度。本文基於使用PSPWM時，探討連續導通模式下之輸入電壓對輸出電壓的轉移函數和小訊號模型，並以小訊號模型設計補償器。本論文將推導四階飛馳電容式功率因數修正器的責任週期前饋控制，以此控制法降低電感電流之諧波失真，並能用以控制同步整流開關，降低電感逆電流。本論文亦將說明單相四階飛馳電容式功率因數修正器動作原理，並且推導小訊號模型、設計補償器，最後使用數位晶片達成整體功率因數之功能。最終本論文實現電感電流等效頻率為500 kHz、輸入電壓為90~264 Vrms、輸出電壓390 V、輸出功率350 W的四階飛馳電容式功率因數修正器。

Power factor correction (PFC) is widely used in adapter or front-end circuits of appliances. A 4-level flying capacitor boost PFC with Phase-Shifted Pulse Width Modulation (PSPWM) technology can be used to balance the voltage of the flying capacitors. In addition, the in-ductor equivalent frequency is increased and the voltage stress of the inductor is decreased. Therefore, low inductance can be used. Because the voltage stress of the switches is decreased, the switches with low voltage ratings can be used, even with parasitic components. Ceramic capacitors with high power density are used because the capacitance requirement of the flying capacitor is low. In conclusion, a 4-level flying capacitor boost PFC can achieve high efficiency and high-power density. This article discussed the DC gain and small-signal model of the flying capacitor multilevel (FCML) boost converter with PSPWM in continuous con-duction mode. The duty ratio feedforward is often used in the PFC with a 2-level topology to reduce the current distortion. However, the DCM duty ratio of the FCML boost converter is different from the 2-level boost converter. This thesis will derive the DCM duty cycle of the 4-level flying capacitor boost PFC, and use it to control the synchronous switch to reduce the reverse inductor current. This thesis also introduces the operation principle of the 4-level flying capacitor boost PFC and the pro-gram’s flow chart. Finally, the 350 W 4-level flying capacitor boost PFC with duty ratio feedforward control is implemented with an inductor current frequency of 500 kHz, an input voltage of 90-264 Vrms, and an output voltage of 390 V.

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