臺灣博碩士論文加值系統

本論文目的是利用強健控制理論中結構性奇異值分析方法探討多組並聯DC-DC降壓型轉換器系統相關性能指標。首先，利用能量守恆定理推導出和並聯轉換器相關的性能指標如漣波率、效率和輸出電壓準位。由於並聯系統會因各模組間元件值的不同，進而影響性能指標的數值，在此會依（1）各模組的特性均一時（2）各模組的特性有差異時分別建立兩種系統的模式。接著，利用線性分式轉換（Linear Fractional Transform, LFT）的技巧，可求得兩模式各自性能指標的LFT數學式，並引入結構性奇異值的概念求得並聯轉換器中元件所能變動的最大範圍。
此外，在並聯系統中最常遇到的就是各模組間電流分配問題。一般並聯轉換器在模組間皆假設其特性相同，因而不易了解到各模組間彼此的影響。有鑑於此，本論文中為了衡量電流在各模組中分配的情形，定義一性能指標：電流分配誤差（Current Distribution Error, CED），其為穩態時模組間電流差的絕對值，當此參數的值越小代表電流分配的程度越佳。本論文將利用線性分式轉換建立含有不定因素電流分配誤差的數學模式，進而對其作強健性能分析。
最後，由電腦模擬可驗證得知，本論文所提出的方法的確能求出使性能指標保持強健性能下元件所能容忍變動的範圍。

The objective of this thesis is to use the structured singular value in robust control theory to analyze the performance indices of multimodule DC-DC buck converters system. First, we adopt the energy conservation theorem to derive practical performance specifications used in power electronics, such as ripple, efficiency and output voltage level. Since the component values in modules of parallel system are usually different and then deteriorate the performance, according to the cases: (1) characteristics in each module are identical, (2) characteristics in each module are different, mathematical models are established respectively. By using the models, linear fractional transform techniques are employed to conduct the LFT models of performance indices. As a result, the allowable variation range of the circuit components in parallel converters can be found to retain the pre-specified performance requirement.
Also, the current distribution in each module of parallel converters is one of the most concerned problems. To analyze the problem, the current distribution error is defined as a performance index in this thesis. This performance index represents the current difference of modules in steady state, and it is the smaller the better. Using similar linear fractional transform techniques, the model of current distribution error is built and the tolerant arrange of component values is found for the given distribution error specification.
From computer simulations, it is shown that the variation ranges of the circuit component are found by the proposed method for keeping the robustness of performance indices.

中文摘要 i
英文摘要 iii
誌謝 v
目錄 vi
圖目錄 vii
第一章 緒論 1
1.1 前言 1
1.2 研究動機與文獻回顧 2
1.3 論文架構………………………………………………………….3
第二章 並聨DC-DC降壓型轉換器簡介及模型建立 5
2.1 單級降壓型DC-DC轉換器簡介 5
2.2 多級並聨DC-DC轉換器簡介 9
2.3 基於能量守恆定理之並聨轉換器建模 10
第三章 並聨DC-DC轉換器的強健性能分析 18
3.1 線性分式轉換原理 18
3.2 不定矩陣重整 23
3.3 結構化奇異值介紹 27
3.4 並聨轉換器性能指標推導 29
3.5 性能指標之LFT建模 33
3.6 並聨轉換器漣波性能指標之強健性能分析 44
第四章 電流分配誤差之強健性能分析 54
4.1 平均電流模式介紹 54
4.2 並聨電路小訊號模型 56
4.3 電流分配誤差的性能指標推導 58
4.4 電流分配誤差性能指標之LFT建模 69
4.5電流分配誤差性能指標之強健性能分析 72
第五章 結論與未來研究方向 76
5.1 結論……………………………………………………………….76
5.2 未來研究方向…………………………………………………….77
參考文獻 78

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