本論文主要針對多重隨機脈波寬度調變換流器技術，做分析、設計及其應用。文中首先介紹多重隨機脈波寬度調變換流器之工作原理及實際設計方法，以瞭解多重隨機脈波寬度調變換流器之基本特性。接著利用傅立葉轉換結合隨機機率函數觀念推導多重隨機脈波寬度調變換流器之數學模型。除了分析計算多重隨機脈波寬度調變換流器之諧波分佈，文中並對所提多重隨機脈波寬度調變技術，以數位信號處理器（DSP）為控制器加以實現。由電腦模擬與實驗結果驗證各種隨機脈波寬度調變技術之功率頻譜密度，皆能符合預期頻譜功率能量分散特性，證實本文方法的可行性。另外，考慮多重隨機脈波寬度調變技術應用於不斷電系統噪音改善，本文並以數位信號處理器實際製作一全數位化單相全橋式換流器，文中除了介紹數位式雙迴路控制架構並詳述如何以DSP來實現系統之控制流程，同時探討於非線性負載時之輸出電壓動態響應與諧波頻譜等特性。由實驗結果驗證閉迴路多重隨機脈波寬度調變換流器具有電壓調整功能同時還有良好頻譜分散特性，可有效抑制尖銳噪音之產生。

　　The subject of this dissertation is primarily related to the research of the Multi-Random Pulse-Width Modulation (MRPWM) technique operated with fixed switching frequency and its application to uninterruptible power supplies (UPS) for acoustic noise reduction. Initially, the operating principle and design of the multi-random pulse-width modulation technique for the inverter system is introduced. Then the analyses of the Power Spectrum Density (PSD) for various versions of Random Pulse-Width Modulation (RPWM) techniques are presented. The generalized theoretical analysis presented within this dissertation provides an insight into the PSD for various RPWM techniques. Theoretical predictions and the measured results of the proposed MRPWM scheme are presented to demonstrate the feasibility of the proposed scheme.

　　In addition, as a result of the practical application in a modern UPS system, the MRPWM scheme with fixed switching frequency is applied to a digitally-controlled inverter operated to regulate the output voltage with low total harmonic distortion and reduce undesirable acoustic noise. A prototype based on a DSP controller has been built to verify the performance of the closed-loop control method and feasibility of the proposed MRPWM method for acoustic noise reduction. Both simulated and experimental results confirm that the MRPWM method has better spectrum performance over the conventional Single Random Pulse-Width Modulation (SRPWM) scheme.

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