本文針對本實驗室之特殊設計之新型扁平式四相直流無刷車輪馬達作最佳電流驅動波形之研究。 首先,理論上利用能量法推出的馬達力矩方程式,再以數學方式,再以傅立葉級數(Fourier Series)分別對電流與反電動勢作展開,以證明當電流波形與反電動勢波形相同時,馬達最大輸出力矩。 接著利用MATLAB建立馬達磁路模型、以及有限元素軟體(Ansoft)建立3D模型,依據此兩種分析結果印證基本理論。特別地,在有限元素3D模型上,將近似反電動勢波形的電流波形解析成各種階數的弦波,以分析馬達力矩與力矩漣波的關係,尋求最佳的驅動方式。 最後,依據上述的分析,以方波、正弦波、磁路模型分析的最佳波形,以及Ansoft 3D模型分析的最佳波形作為驅動馬達的電流波形,以動力計實際測試本馬達,並比較新型馬達與三代馬達性能的差異。
The thesis proposes a design of fourth generation brushless DC motor and a research of optimal driving current wave of the motor. First, torque equation of motor can be constructed by energy method. Second, we expand the current and back EMF waveform by Fourier series. And then, the analysis shows that if we want the motor having the maximum torque, the current and the back EMF waveform should be proportional. On the other hand, we establish two kinds of models. One is the motor magnetic model by MATLAB and the other is 3D-FE (finite element ) model by Ansoft. The simulation results will proof the basic theory. In 3D-FE model, we decompose the back EMF waveform into different order partial sums to analyze the relationship of torque and torque ripple. And then, we can find the optimal driving way. Finally, we take square wave, sine wave, optimal wave by motor magnetic model, and optimal wave by 3D-FE model as current waveform to test the motor’s performances and compare the performances with the 3rd generation motor