本論文提出一個數位控制的LLC諧振轉換器的設計。LLC諧振拓墣撲允許主開關作零電壓切換，從而極大地降低了開關損耗，提高效率。本文使用Microchip的數位信號控制器(dsPIC33FJ16GS502)作為LLC諧振轉換器的數位控制器。數位電源具適應性和靈活性，可監測、處理和適應任何複雜的電源系統需求。為了正確地設計LLC諧振轉換器的比例積分與微分(Proportional, Integrated and Differentiator, PID)補償電路，LLC諧振轉換器使用大信號和小信號模型是必要的。由於狀態空間平均(State Space Averaging, SSA)的小信號建模方法不適用於LLC諧振轉換器，因此在本論文中，LLC諧振轉換器的動態特性採用脈波頻率調變(Pulse Frequency Modulation, PFM)擴張描述函數(Extended Describing Function, EDF)的小信號建模技術研究，並提出LLC諧振轉換器的補償器設計與控制。最後，實際研製一個144W的LLC諧振轉換器，實驗結果驗證了設計方法的正確性。從1A到12A負載的範圍內，所設計的LLC諧振轉換器之工作效率都高於88%。

In this dissertation, the design of a digitally-controlled LLC resonant converter is presented. The LLC resonant topology allows for ZVS of the main switches, thereby dramatically reducing switching losses and increasing efficiency. A digital signal controller (dsPIC33FJ16GS502) from Microchip corp. is utilized as the digital controller of the LLC resonant converter. Digital power also provides intelligent adaptability and flexibility to satisfy any complex power requirement with the straightforward ability to monitor, process and adapt to system conditions. In order to design the Proportional, Integrated and Differentiator (PID) compensation circuit correctly, the large-signal and small-signal model of the utilized LLC converter is necessary. However, Standard State Space Averaging (SSA) method for revealing the transfer function cannot be used for LLC converter. In this dissertation, the dynamics of the LLC resonant converter are investigated using the small signal modeling technique based on Pulse Frequency Modulation (PFM) Extended Describing Functions (EDF) methodology. Also, a comprehensive description of the compensator design for control of the LLC converter is presented. Finally, experimental results are given to validate the correctness of the proposed system. The measured efficiencies of the presented LLC resonant converter are all higher than 88 % for the range from 1A to 12A load currents.

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