自啟動永磁輔助同步磁阻馬達基於每安培最大轉矩下的速度反推控制及特性分析

Abstract

本論文針對自啟動永磁輔助同步磁阻馬達，引用前人推導的動態方程式及內部力矩分析作為研究基礎，進行深入探討。首先分析氣隙函數和繞組函數在轉子座標系下的分布，並驗證動態方程式的正確性，進一步解析馬達內部力矩，將總力矩拆分為磁阻力矩、感應力矩和永磁轉矩，並將其歸類為各種內部力矩分布類型進行觀察和總結。基於此分析，本文著重於每安培最大轉矩控制策略的引入，驗證其對馬達性能的改善效果，發現其在提升馬達效率及動態性能方面具有顯著優勢，並且進一步設計了速度反推控制器，推導出Lyapunov函數以證明系統的穩定性，並將每安培最大轉矩控制與速度反推控制結合，從速度反推控制中產生的電流命令中計算出最佳的直軸與交軸電流。本文的模擬分析結果證實了該結合控制策略能顯著提高馬達的動態響應和能效，展示了其在實際應用中的潛力。

This thesis examines the line-start permanent magnet-assisted synchronous reluctance motor using dynamic equations and internal torque analysis derived by my predecessors. The study begins by analyzing air-gap and winding functions within the rotor coordinate system to validate the dynamic equations. The total torque is decomposed into reluctance, induction, and permanent magnet components, categorized into different torque distribution types for analysis. The introduction of the maximum torque per ampere (MTPA) control strategy is explored for enhancing motor performance, showing significant improvements in efficiency and dynamics. A backstepping speed controller is developed with the Lyapunov function ensuring stability, and it calculates optimal direct and quadrature-axis currents from backstepping control commands. Simulations confirm that this integrated control strategy significantly improves dynamic response and efficiency, underscoring its practical application potential.