本論文探討以發光二極體(Light Emitting Diode, LED)作為輸出之負載分析，針對其電壓和電流的指數特性，以泰勒級數描述特性曲線，並研製一返馳式LED驅動器之系統模型來驗證理論與實際相符。內文主要研究LED電壓與電流之間的指數關係，在傳統的模擬上，LED負載通常以線性模型呈現，而線性模型與實際值的誤差較大，因此本論文使用了泰勒級數來描述LED非線性負載的特性，再藉由Mathcad運算軟體準確地計算下，可有效地減少模擬與實際的誤差，並且從中了解溫度對發光二極體之影響，以利對於整個系統的特性分析。最後實作一組規格為商業照明120W之返馳式LED驅動器來進行理論驗證，其中包括返馳式轉換器的理論分析與系統設計流程，並透過電路模擬軟體SIMPLIS來呈現系統模型，可使讀者在短時間內了解本論文之系統架構；LED部分則採用市售之鋁燈組作為輸出負載，經由實作電路的量測結果與模擬結果具有良好的一致性，在同樣的溫度與系統之下，模擬與實作的誤差可小於3%，證明了泰勒級數模擬的精確性。透過研製一返馳式轉換器與輸出負載分析，除了從基礎理論上作設計外，還可由負載分析了解返馳式系統之特性，可使讀者在實際設計之前，對於整個系統有深入的了解，減少實作上的失誤與誤差。

This thesis discusses the output load analysis of light emitting diodes(LED). According to the exponential characteristics of its voltage and current, the Taylor Series is used to describe the characteristic curve, and a model of the flyback LED driver is implemented to verify that the theory is consistent with the reality. In this thesis, the exponential function relationship between voltage and current is primarily researched. In the tradition simulation, the LED load is usually presented as a linear model, and the linear model is much inaccurate in realty. Therefore, this thesis describes the non-linear load of the LED characteristics by using Taylor Series. The exact calculation in Mathcad computational software can effectively reduce the inaccuracy between the simulation and the realty, and realize the effect of temperature on the LED in order to facilitate the analysis of the characteristics in the system. In conclusion, a 120W prototype circuit of flyback LED driver was designed to verify the theory for proving the feasibility of system, including the theoretical analysis and system design procedure. Also, presenting the system through the simulation software SIMPLIS can make the reader understand the system architecture of this thesis in a short time. The part about LED adopts commercial aluminum lamps as output load. The reseults of the measurement in the circuit are in accordance with the simulation results. Under the same temperature and system, the inaccuracy between the simulation and implementation can be less than 3%, proving the Taylor Series simulation is exact. In addition to the basic theory for the design, the characteristics of flyback system can be understood via producing a flyback converter and output load analysis. Consequently, readers have an in depth understanding of the whole system and reduce mistakes and errors in the prototype circuit before the actual design.

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