本論文之主要目的為應用多項式模糊系統來研製適用於直流供電系統之非隔離型雙向轉換器。其電路架構為升壓轉換器(Boost converter)與降壓轉換器(Buck converter)的結合,具有高反應速度、低誤差的特性。雙向轉換器之控制採用微處理器TMS320F28069來調變切換元件之脈波寬度(Pulse-Width Modulation, PWM)、執行類比數位轉換以及電路保護機制等功能。本論文使用多項式模糊控制法,以Lyapunov函數推導出參數不確定性之穩定性條件,並利用SOS(Sum-of-Squares) 工具箱來尋找系統控制增益。最後,本論文實際研製一部應用多項式模糊系統之2kW雙向轉換器,搭配鋰離子電池,驗證此系統的實用以及穩定性。
The main purpose of this study is to present the design and implementation of a bidirectional converter using polynomial fuzzy systems. The topology of this circuit is combined the buck converter with the boost converter. Its two most pleasing traits are high efficiency and low cost. In this circuit, the microprocessor, TMS320F28069, realizes almost all of the functions, such as circuit protection, generation of pulse-width modulation (PWM) signals and A/D conversion, etc. This study uses Lyapunov function to derive a theorem of uncertainty stability conditions based on polynomial fuzzy. And, it uses SOSTOOLS to fine the control gain of systems. Finally, a 2 kW bidirectional converter using polynomial fuzzy system had been implemented and added Lithium-ion battery to verify the feasibility and characteristic systems.