本論文的研究目的是研製與發展以數位訊號處理器為基礎的適應性步階迴歸控制拉格朗日乘數法之每安培最大轉矩控制於同步磁阻馬達驅動系統。首先，本研究先推導出同步磁阻馬達以磁場導向控制的動態模型。接著，將所設計好的積分-比例控制器應用於定速驅動系統控制上作馬達轉子機械速度命令的追隨。由於同步磁阻馬達定速系統上所產生的非線性時變轉矩是由電感與電流所決定的，為了提升同步磁阻馬達的性能以及效率，因此，使用傳統型每安培最大轉矩控制，但在實際應用上傳統型每安培最大轉矩控制是很難達到最佳效率的，因為同步磁阻馬達具有嚴重的磁場飽和現象，會造成真實每安培最大轉矩的超前角度較傳統型每安培最大轉矩的來的高。有鑒於此，本研究提出了適應性步階迴歸控制拉格朗日乘數法之每安培最大轉矩控制，利用拉格朗日乘數法得出在每安培最大轉矩時直軸與交軸的電流命令，且考慮電感變化並使用適應步階迴歸控制來估測系統中的電感值，並且減少磁飽和所造成的影響。除此之外，利用李亞普諾夫穩定性理論推導出適應律並且即時更新控制參數，最後，本研究以32位元浮點運算數位訊號處理器TMS320F28075完成所提出之同步磁阻馬達定速驅動系統，且利用模擬來驗證所提出之適應性步階迴歸控制拉格朗日乘數法之每安培最大轉矩控制的強健性及其效率性，以及利用實驗結果來驗證同步磁阻馬達驅動系統之開發的正確性。;An adaptive backstepping control (ABSC) based Lagrange multiplier (LM) maximum torque per ampere (MTPA) control of a synchronous reluctance motor (SynRM) is proposed in this study to construct a high-performance SynRM speed drive system. The dynamic model of a field-oriented SynRM speed drive is described first. Next, an integral-proportional controller is designed for the tracking of the speed reference. Since the torque of the SynRM is nonlinear and time-varying, it is very sensitive to the variations of the inductance and current. Therefore, a traditional MTPA control is using in the SynRM speed drive system. However, due to the saturation effect, the real MTPA current angle is higher than the traditional one in the practical. In the light of this, in order to further increase the robustness and effectiveness of the SynRM speed drive, an ABSC based LM MTPA (ABSCLMMTPA) control of the SynRM is proposed to achieve the real MTPA of the SynRM speed drive, using the LM to obtain the current command of the direct and quadrature axis. Then, the adaptive law can estimate the required inductance to reduce the saturation effect. In addition, the adaptive law is derived using Lyapunov stability theorem to update the control parameters in the real-time. Finally, the proposed speed control system is implemented in a 32-bit floating-point digital signal processor, TMS320F28075. The robustness and effectiveness of the proposed ABSCLMMTPA control system are verified by some simulated and experimental results.
