順向式DC-DC電源轉換器之T-S模糊控制設計

T-S Fuzzy Controlle for Forward Power Converters

王梓鋼(Tzyy-Gang Wang)

指導教授 ： 練光祐

中原大學/工學院/電機工程研究所/碩士(2004年)

https://doi.org/10.6840/cycu200400746

摘要

摘要

由於資訊通訊產品日益精良且功能強大, 電源也隨著精密資訊通訊產品的演進必須滿足高性能的設計需求. 大部份通訊用電源是48V 輸入, 而且輸入電壓範圍很寬從36V到72V. 甚且暫態時電壓可能達100V. 所以依據UL/CSA 安全標準, 電源側與負載側必須隔離. 因此在本論文中主要以隔離型直流至直流順向式電力轉換器(single-end DC-DC forward converter) 來探討輸出穩壓控制器之設計.我們利用不連續系統單時間尺度平均法(AM-OTS-DS)求得順向式電力轉換器在工作週期(Switching period)內的非線性數學模式。由於電力轉換器具有高度之非線性特性。因此，我們利用近幾年被廣泛用於非線性系統控制的T-S模糊控制(Takagi-Sugeno fuzzy control)對順向式電力轉換器做輸出電壓穩壓控制。為了確保輸出電壓誤差會收斂至零，因此我們外加了一個誤差狀態(Error state)至原電力轉換器的系統方程裡，再以T-S模糊模式(T-S fuzzy model)來表示，最後推導得所謂積分型T-S模糊控制器(Integral T-S fuzzy controller)。並利用線性矩陣不等式技術設計控制器的控制增益，最後以Matlab完成閉迴路系統模擬。我們實作積分型T-S模糊控制器來控制順向式電力轉換器，並將模擬與實作結果比較，證明T-S模糊理論設計順向式電力轉換器，在負載變化或電源電壓變動下均有較佳的穩壓效果。

關鍵字

積分型T-S模糊控制 ； 順向式電力轉換器 ； T-S模糊模式

並列摘要

Abstract

With the recent proliferation of telecommunications equipment, there is more demand than ever for voltage converters that are powered by the nominal 48V telecom supply. Depending on the application and operating environment, the supply voltage range can vary widely. A typical specification can range from a low of 36V to a high of 72V with a 48V nominal. And the transient voltage may be up to 100V. According to the UL/CSA safety regulation, those power converter will require input to output isolation of up to 1500V. Hence, in this thesis, we propose an integral fuzzy controller to deal with the output voltage regulation issue for a single-end forward converter. We use Averaging Method for One-Time-Scale Discontinuous Systems (AM-OTS-DS) to derive the mathematic model of the single-end forward converter. To improve the steady-state error, an extra integral error signal is added to the dynamic equations. The standard T-S fuzzy model is established after we translate the coordinates to the regulated point. The control gains are obtained by solving LMIs via Matalab tool. The performance is verified by carrying out numerical simulations. Then the hardware of the single-end forward converter is developed. Where the integral T-S fuzzy controllers are implemented by using analog operational amplifiers and multipliers. The experiment results show the feasibility of applying integral T-S fuzzy control to the single-end forward converter.

並列關鍵字

single-end DC-DC forward converter ； T-S fuzzy controllers ； Integral T-S fuzzy controller

參考文獻

[1] J. Sun, and H. Grotstollen, “Averaged Modeling of Switching Power Converters: Reformulation and Theoretical Basis”, in Proc. IEEE PESC’92, pp. 1165-1172, 1992.

[2] H. K. Lam, F. H. F. Leung, and P. K. S. Tam, “Fuzzy Control of DC-DC Switching Converter based on TS-Modeling Approach”, in Proc. IEEE IECON’98, pp. 1052-1054, 1998.

[3] P. Carbonell, G. Garcera, A. Hilario, “Fuzzy Gain Scheduling Control of DC-DC Converter”, in Proc. IEEE 0-7803-5662-4, 1999

[4] K. Y. Lian, T. S. Chiang, C. S. Chiu, and P. Liu, “Synthesis of Fuzzy Model-Based Design to Synchronization and Secure Communication for Chaotic Systems”, IEEE Trans. Syst. Man Cybern. Part B Vol. 31, pp. 66-83. 2001.

[9] Q. Chen, F. C. Lee & M. M. Jovanovic. “Analysis and Design of Weighed Voltage-Mode Control for a Multiple Output Forward Converter”, 0-7803-0982-0193, 1993 IEEE.