本論文採用了一種新的調變技術，稱為回授擾動調變，應用於直流至交流電源轉換器。回授擾動調變器由一個量化器和回授擾動電路所構成。相較於傳統的調變架構，回授擾動調變器進行多階調變時可改善調變的線性度和訊號品質。論文中所設計的單相直流至交流轉換器，是結合了回授擾動調變技術與最佳化控制理論進行架構的實現，實際測試後證明輸出端在無載時，最低總諧波失真為0.47%；輸出功率為500W時，最低總諧波失真為0.38%，並且直流電壓源範圍為190至300伏特，輸出功率範圍為0至600瓦特，總諧波失真皆能低於1%以下，最高轉換效率達95%，展現了高度的性能與強韌性。

This thesis presents a novel modulation scheme, called feedback dithering modulation, for DC to AC power converters. The feedback dithering modulator consists of a quantizer and a recently reported feedback dithering circuit, performing multilevel modulation with improved linearity and signal quality as opposed to the conventional modulation schemes. By combining the feedback dithering modulation and optimal control, a single-phase DC to AC power converter is built and tested. The resulting total harmonic distortion can be as low as 0.38% for a 25Ω load, or 0.47% when the output is open. Under the various operating conditions with DC voltages source varying from 190 V to 300 V and output powers from 0 to 600 W, the power converter always maintains a total harmonic distortion less than 1%, exhibiting high performance and excellent robustness.

論文審定書 I
誌謝 II
中文摘要 III
英文摘要 III
第一章　緒論 1
1-1　研究背景、動機與目的 1
1-2　文獻回顧 2
1-3　論文貢獻 4
第二章　回授擾動調變技術 6
2-1　擾動簡介 6
2-2　擾動調變技術 7
2-3　回授擾動調變架構及工作原理 13
2-4　調變之性能指標 17
2-5　回授擾動調變架構模擬與設計 18
2-5.1　回授擾動器設計 18
2-5.2　穩定性模擬分析 22
2-5.3　PWM與FDM之性能比較 23
第三章　回授擾動技術用於調變與控制直流至交流轉換器 25
3-1　直流至交流轉換器系統架構 25
3-2　受控場之輸出級濾波器設計 26
3-3　橋式電路 28
3-4　控制器設計 30
3-5　直流至交流轉換器系統模擬 32
3-5.1　權重濾波器設計 33
3-5.2　系統模擬結果 37
第四章　單相直流至交流轉換器電路實現與性能量測 44
4-1　系統實作架構與規格 44
4-1.1　輸出濾波器電路 45
4-2　直流�交流轉換電路 46
4-2.1　橋式電路 47
4-2.2　緩震電路 48
4-2.3　閘極驅動與隔離電路 49
4-2.4　切換邏輯電路 50
4-2.5　停滯時間（Dead Time）電路 51
4-3　回授及控制電路 52
4-3.1　電壓、電流回授電路 53
4-3.2　回授擾動器電路 54
4-3.3　控制器電路 55
4-4　實驗量測結果與模擬結果比較 56
4-4.1　負載變動穩定性分析 56
4-4.2　直流電壓源變動穩定性分析 57
4-4.3　直流�交流轉換器效率分析 58
4-4.4　其他調變與設計方法性能比較 59
第五章　結論 63
參考文獻 65
附錄A　回授擾動技術用於調變與控制直流/交流轉換器：架構二 70
附錄B　線性二次調制器方法 73

[1] M. J. Ryan, W. E. Brumsickle, and R. D. Lorenz, “Control topology options for single-phase UPS inverters,” IEEE Transactions on Industry Applications, vol. 33, no. 2, pp. 553-558, 1997.
[2] E. A. A. Coelho, P. C. Cortizo, and P. F. D. Garcia, “Small signal stability for single-phase inverter connected to stiff AC system,” International Conference on Industry Applications, vol. 4, pp. 2180-2187, 1999.
[3] J. Kim, J. Choi, and H. Hong, “Output LC filter design of voltage source inverter considering the performance of controller,” International Conference on Power System Technology, vol. 3, pp. 1659-1664, 2000.
[4] G. K. Hung, C. C. Chang, and C. L. Chen, “Analysis and implementation of a delay-compensated deadbeat current controller for solar inverters,” IEEE Transactions on Circuits, Devices and Systems, vol. 148, no. 5, pp. 279-286, 2001.
[5] L. Mihalache, “DSP control method of single-phase inverters for UPS applications,” Intrnational Conference on Applied Power Electronices, vol. 1, pp. 590-596, 2002.
[6] J. Rodríguez, J. S. Lai, and F. Z. Peng, “Multilevel inverters: a survey of topologies, controls, and applications,” IEEE Transactions on Industrial Electronics, vol. 49, no. 4, pp. 724-738, 2002.
[7] G. C. Hsieh, H. L. Chen, and J. C. Li, “Modeling and implementation of sigma-delta modulation controller for DC/AC inverter,” Intrnational Conference on Industrial Electronics Society , vol. 1, pp. 12-17, 2004.
[8] S. B. Kjaer, J. K. Pedersen, and F. Blaabjerg, “A review of single-phase grid-connected inverters for photovoltaic modules,” IEEE Transactions on Industry Applications, vol. 41, no. 5, pp. 1292-1306, 2005.
[9] M. Pascual, G. Garcera, E. Figueres, and F. Gonzalez-Espin, “Robust model-following control of parallel UPS single-phase inverters,” IEEE Transactions on Industrial Electronics, vol. 55, no. 8, pp. 2870-2883, 2008.
[10] T. Fujimoto, F. Tabuchi, and T. Yokoyama, “Digital control of single phase PWM inverter using SDRE approach,” Intrnational Conference on Power Electronices, pp. 1258-1261, 2010.
[11] D. Dong, T. Thacker, R. Burgos, D. Boroyevich, and F. Wang, “On zero steady-state error of single-phase PWM inverters voltage control and phase-locked loop system,” Intrnational Conference on Energy Conversion Congress and Exposition, pp. 892-899, 2009.
[12] X. Shungang and X. Jianping, “Decoupling control strategy of single phase SPWM parallel inverter,” Intrnational Conference on Power Electronics for Distributed Generation Systems, pp. 210-213, 2010.
[13] C. SUN, G. H. Wei, and Z. N. Zhu, “A novel single-phase separated-SPWM controlled inverter with a high frequency link,” Intrnational Conference on Power Electronics Specialists, vol. 4, pp. 1879-1883, 2002.
[14] S. H. Yu, “Feedback dithering for decorrelating quantization noise and enhancing SNDR,” IEEE Transactions on Control System Technology, published online before print, June, 2011.
[15] S. H. Yu and M. H. Tseng, “Optimal control of a nine-level class-D audio amplifier using sliding-mode quantization,” IEEE Transactions on Industrial Electronics, vol. 58, no. 7, pp. 3069-3076, 2011.
[16] L. H. S. C. Barreto, P. P. Praca, C. M. T. Cruz, and R. T. Bascope, “PID digital control using microcontroller and FPGA applied to a single-phase three-level inverter,” Intrnational Conference on Applied Power Electronics, pp. 1443-1446, 2007.
[17] C. K. Min, O. W. Seok, K. Y. Tae, and K. H. Jun, “A new switching strategy for pulse width modulation (PWM) power converters,” IEEE Transactions on Industrial Electronics, vol. 54, no. 1, pp. 330-337, 2007.
[18] R. Gonzalez, J. Lopez, P. Sanchis, E. Gubia, A.Ursua, and L. Marroyo, “High-efficiency transformerless single-phase photovoltaic inverter,” Intrnational Conference on Power Electronics and Motion Control, pp. 1895-1900, 2006.
[19] S. J. Park, F. S. Kang, M. H. Lee, and C. U. Kim, “A new single-phase five-level PWM inverter employing a deadbeat control scheme,” IEEE Transactions on Power Electronics, vol. 18, no. 3, pp. 831-843, 2003.
[20] M. A. Pérez, P. Cortés, and J. Rodríguez, “Predictive control algorithm technique for multilevel asymmetric cascaded H-bridge inverters,” IEEE Transactions on Industrial Electronics, vol. 55, no. 12, pp. 4354-4361, 2008.
[21] R. A. Mastromauro, M. Liserre, T. Kerekes, and A. Dell’Aquila, “A single-phase voltage controlled grid connected photovoltaic system with power quality conditioner functionality,” IEEE Transactions on Industrial Electronics, vol. 56, no. 11, pp. 4436-4444, 2009.
[22] H. Pinheiro, A. S. Martins, and J. R. Pinheiro, “A sliding mode controller in single phase voltage source inverters,” IEEE Transactions on Industrial Electronics, vol. 1, pp. 394-398, 1994.
[23] S. R. Bowes and D. Holliday, “Optimal regular-sampled PWM inverter control techniques,’’ IEEE Transactions on Industrial Electronics, vol. 54, no. 3, pp. 1547-1559, 2007.
[24] H. Deng, R. Oruganti, and D. Srinivasan, “A neural network-based adaptive controller of single-phase inverters for critical applications,” International Conference on Power Electronics and Drive Systems, vol. 2, pp. 915-920, 2003.
[25] S. L. Jung and Y. Y. Tzou, “Discrete sliding-mode control of a PWM inverter for sinusoidal output waveform synthesis with optimal sliding curve” IEEE Transactions on power electronics, vol. 11, no. 4, 1996.
[26] J. J. E. Slotine and S. S. Sastry, “Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators,” International Journal of Control, vol. 38, pp. 465-492, 1983.
[27] J. Salmon, A. M. Knight, and J. Ewanchuk. “Single-phase multilevel PWM inverter topologies using coupled inductors,” IEEE Transactions on Power Electronics, vol. 24, no. 5, pp. 1259-1266, 2009.
[28] A. Nami, F. Zare, G. Ledwich, A. Ghosh, and F. Blaabjerg, “Comparison between symmetrical and asymmetrical single phase multilevel inverter with diode-clamped topology,” IEEE Conference on Power Electronics Specialists, pp. 2921-2926, 2008.
[29] G. C. Hsieh, H. L. Chen, and J. C. Li, “Modeling and implementation of sigma-delta modulation controller for DC/AC inverter,” Intrnational Conference on Industrial Electronics Society, vol. 1, pp. 12-17, 2004.
[30] B. D. O. Anderson and J. B. Moore, Optimal Control: Linear Quadratic Methods, New Jersey: Prentice-Hall, 1990.
[31] W. C. Famer, Ordnance Field Guide: Restricted, Military Service Publishing Company, 1945.
[32] B. Widrow and I. Kollár, Quantization Noise, Cambridge: Cambridge University Press, 2008.
[33] C. A. Desoer and M. Vidyasagar, Feedback System: Input-Output Prosperities, Academic Press, New York, 1975.
[34] B. Metzier, Audio Measurement Handbook, Published by Audio Precision, 1993.
[35] 陳永平, 可變結構控制設計, 全華科技圖書股份有限公司, 1999.
[36] B. J. Kang and C. M. Liaw. “Robust hysteresis current-controlled PWM scheme with fixed switching frequency,” IEE Proceedings on Electric Power Applications, vol. 148, no. 6, pp. 503-512, 2001.
[37] D. W. Hart, Introduciton to Power Electronics, 2005.
[38] 蔡永輝, 利用順滑模態量化控制理論設計D類音頻功率放大器, 國立中山大學碩士論文, 2008.
[39] H. W. Park, S. J. Park, J. G. park, and C. U. Kim, “A novel high-performance voltage regulator for single-phase AC sources,” IEEE Transactions on Industrial Electronics, vol. 48, no. 3, pp. 554-562, 2001.
[40] P. K. W. Chan, H. S. H. Chung, and S. Y. Hui, “A generalized theory of boundary control for a single-phase multilevel inverter using second-order switching surface,” IEEE Transactions on Power Electronics, vol. 24, no. 10, pp. 2298-2313, 2009.
[41] C. G. C. Branco, C. M. T. Cruz, R. P. Torrico-Bascope, and F. L. M. Antunes, “A nonisolated single-phase UPS topology with 110-V/220-V input–output voltage ratings,” IEEE Transactions on Industrial Electronics, vol. 55, no. 8, pp. 2974-2983, 2008.
[42] Y. Z. Tsypkin, Relay Control Systems. Cambridge, Cambridge University Press, 1984.
[43] S. H. Yu, “Analysis and design of single-bit sigma-delta modulators using the theory of sliding modes,” IEEE Transactions on Control System Technology, vol. 14, no. 2, pp. 336-345, 2006.