- 學位論文
基於梯形積分的比例積分微分控制器於單相換流器之設計
Design of a Single-Phase Inverter using Trapezoidal Integration-Based Proportional Integral Derivative Controller
摘要
傳統比例積分微分控制器，因為架構簡單與設計容易已被廣泛應用於單相換流器。然而傳統的比例積分微分控制器之積分項為矩形積分，一旦換流器的負載為高度非線性，則會導致運算準確度降低，穩態誤差出現。本論文提出梯形積分的比例積分微分控制器，其梯形面積和不像矩形積分會低估誤差區域面積，進而產生計算誤差。因此，所提出的單相換流器，可以得到低總諧波失真輸出電壓與快速動態響應，解決了傳統比例積分微分控制的換流器在高度非線性負載下，容易產生追蹤誤差的問題。為了驗證所提出控制器的有效性，以MATLAB軟體模擬結果顯示，所提出的單相換流器無論是在電阻性負載或是步階負載改變亦或非線性負載狀況下，都可以有高品質的交流電壓輸出。
並列摘要
Traditional PID (proportional-integral-derivative) controllers have been broadly applied to single-phase inverters due to their simple structures and easy designs. Yet, the integral term of traditional PID controllers is based on rectangular integration. If the load of the inverter is highly non-linear, the precision of calculations will be low, and there will be steady-state errors. This thesis proposed a PID controller based on trapezoidal integration. Unlike rectangular integration, trapezoidal integration does not underestimate the error area, which can further result in calculation errors. Thus, the proposed single-phase inverter can achieve low total harmonic distortion (THD) output voltage and fast dynamic response. The problem with inverters using traditional PID controller of possible tracking errors in cases with highly non-linear loads can be resolved. To verify the effectiveness of the proposed controller, this thesis used the software MATLAB to run simulations. And the results showed that the AC output voltage of the proposed single-phase inverter is of high quality in any case with resistive load, step load change, or non-linear load.