臺灣博碩士論文加值系統

本論文主要是利用代數的演算及週期函數的性質去分析昇降壓式直流對直流轉換器的動態特性，並且藉由電腦模擬和電路實驗，證明我們理論分析的結果。首先，我們推導此轉換器操作在連續導通模式與不連續導通模式的正確解。然後藉由推導出來的正確解，我們區分連續導通模式的輸出電壓與不連續導通模式的輸出電壓分別具有兩種的波形樣式。而且，利用電腦模擬與電路實驗，證明我們理論的分析結果。再者，我們求得連續導通模式與不連續導通模式的邊界條件公式與平均輸出電壓的準確公式及輸出電壓漣波的準確公式。最後，我們透過推導出來的準確公式，探討系統的所有參數變動對連續導通模式與不連續導通模式的邊界、平均輸出電壓、輸出電壓漣波的影響結果。我們重要的研究成果如下：
一.藉由一個非常簡單的方法，我們可以推導出昇降壓式直流對直流轉換器操作在連續導通模式與不連續導通模式的正確解。二. 經由推導出來的正確解，我們可以區分出連續導通模式的輸出電壓與不連續導通模式的輸出電壓分別具有兩種波形的樣式。三. 利用電腦模擬及電路實驗，可以證明出我們理論分析的結果。四. 再者，我們可以求出連續導通模式與不連續導通模式的邊界條件公式與平均輸出電壓的準確公式及輸出電壓漣波的準確公式。五. 我們經由推導出來的準確公式，可以探討出系統的所有參數變動對連續導通模式與不連續導通模式的邊界、平均輸出電壓、輸出電壓漣波影響的結果。

This thesis proposes a new way we offer to study the dynamics of the dc-dc buck-boost converters operating respectively in the continuous-conduction mode (CCM) and the discontinuous-conduction mode (DCM) by deriving the precise solutions and the accurate formulas. In the meantime, the computer simulations and the circuit experiments are given to confirm the theoretical results. The chief results of our work are as follows: (1) Using a very simple way, we can obtain the precise solutions to the dc-dc buck-boost converters operating individually in CCM and DCM. (2) By the precise solutions, we can classify two different cases of the output voltage waveforms respectively in CCM and DCM. (3) The simulations and the experiments of the dc-dc buck-boost converters can be performed to verify the results of the theoretical analyses individually in CCM and DCM. (4) The accurate formulas of the boundary between continuous and discontinuous conduction can be got. And the accurate formulas of the average output voltages and the output voltage ripples can also be gained individually in CCM and DCM. (5) The boundary between continuous and discontinuous conduction, the average output voltages and the output voltage ripples can be discussed when all of the system parameters are varied by means of the derived accurate formulas.