本文主要探討複金屬燈音頻共振之發生與功率諧波的關係。首先，在20 kHz~400 kHz的功率頻域中，以單一頻率的弦波電流驅動70 W複金屬燈。接著，以本文設計的混合波電流測試電路，產生包含可獨立調變頻率與振幅的低頻方波成分與高頻弦波成分之電流波形。藉由注入音頻共振之特徵頻率的混合波形驅動複金屬燈，量測發生音頻共振的功率頻譜，分析功率諧波含量，找出音頻共振發生與功率頻譜的關係。
實驗結果說明音頻共振的發生與直流成分和諧波功率相關。藉由觀察法可得音頻共振發生時的功\率諧波頻譜，本文將誘發音頻共振的諧波功率分為三類，第一類與平均功\率無關，只要諧波功率的波幅超過一定的門檻，即引發音頻共振；第二類則與直流功\率的大小成比例；若為上述的兩種情況以外，歸納為第三類。
由本文設計的方波電流和近似三角波電流測試電路驅動複金屬燈，證實調變直流與諧波功率的波幅，確實會影響音頻共振的發生。透過本論文的研究結果，可對複金屬燈音頻共振現象發生的機制更進一步的瞭解。

This thesis investigates the relevance between the acoustic resonance and power harmonics on a metal halide lamp. First, a sinusoidal current ranging from 20 kHz to 400 kHz is used to drive a 70 W metal halide lamp. Second, a hybrid-current test circuit is designed to generate a current waveform consisting of a low-frequency square-wave and a high-frequency sinusoidal wave. Both of the frequency and the amplitude can be adjusted independently. The test lamp is deliberately driven at its acoustic-resonance eigen-frequencies to observe the effect of the power spectrum on the degree of the acoustic resonance.
The experimental results indicate that the occurrence of acoustic resonance is indeed affected by the DC level and related power harmonics. The power harmonic spectrum that elucidates the initiation of acoustic resonance is deduced from the observations. It is found that the power harmonics that excites acoustic resonance can be divided into three categories. The first is independent of the average lamp power; it excites acoustic resonance only if the magnitude of its power exceeds a specific level. The thresholds of power harmonics belong to the second category are proportional to their DC powers. One can also find those remaining power harmonics belong to the third category.
The power harmonic spectrum of the acoustic resonance is demonstrated by driving the test lamp with quasi-square-wave and triangle-wave currents. This work helps advance the understanding of the phenomena and mechanism of acoustic resonance in a metal halide lamp.

中文摘要 I
英文摘要 II
目錄 III
圖表目錄 V
第一章 簡介 1
1-1研究動機 1
1-2論文大綱 4
第二章 測試電路與功率頻譜 5
2-1測試電路 5
2-1-1弦波電流測試電路 5
2-1-2方波電流測試電路 6
2-1-3近似三角波電流測試電路 7
2-1-4混合波電流測試電路 8
2-1-5雙頻率混合波電流測試電路 10
2-2功率頻譜 12
2-2-1方波 12
2-2-2近似三角波 17
2-2-3混合波 21
2-2-4雙頻率混合波 25
第三章 音頻共振之功率頻譜 36
3-1音頻共振現象之電弧狀態 36 3-2弦波音頻共振之功率頻譜 37
3-3音頻共振現象之燈管功率波形 39
第四章 單一與群集諧波功率對音頻共振的影響 43
4-1平均功率與單一諧波的振幅比例對音頻共振的影響 43
4-2單一諧波音頻共振之功率頻譜 45
4-3平均功率與群集諧波的振幅比例對音頻共振的影響 51
4-4群集諧波音頻共振之功率頻譜 53
第五章 實例應用 61
5-1高頻方波電流之實例應用 61
5-2近似三角波電流之實例應用 64
第六章 結論 67
參考文獻 68

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