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所在平台: Udemy |
课程主页: https://www.udemy.com/course/mathematical-intuition-behind-electric-motors/
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**课程名称：** 电机数学直觉 **课程概述：** 本课程旨在深入解析电机的数学原理，从电磁学基本原理出发，推导直流电机和三相异步电机（感应电机）的本构方程。 **直流电机部分：** * 课程将分析直流电机的定子和转子，推导出包含电机产生的转矩、角速度、电枢电流、励磁电路电流、感应电动势、励磁磁通等关键参数的方程。 * 通过对这些方程的深入讲解，帮助学员理解电机的行为，并深刻掌握其动力学特性。 **三相异步电机（感应电机）部分：** * 由于其更高的物理和数学复杂性，本部分将占用更多讲座时间。 * 课程将采用复数向量方法分析定子和转子。 * 首先，将推导出转子和定子之间的空气隙中的电磁场，进而计算磁通。磁通是电机本构方程中的重要物理量。 * 随后，课程将数学推导电机产生的机械功率和电功率、转矩、转子角频率以及“滑差”这一关键参数。 * 最后，将绘制电机的转矩-转速特性曲线。 **先修知识要求：** * 熟悉复数向量和微积分。 * 建议具备电磁学相关知识，包括： * 基尔霍夫定律 * 电感、电阻、阻抗 * 法拉第-楞次电磁感应定律（源于麦克斯韦方程组）
In this course the mathematics of electric motors are derived. In particular, the constitutive equations of the DC motor and the 3-phase asynchronous motor are constructed starting from the principles of electromagnetism.In the DC motor, the analysis of the stator and the rotor will lead us to equations containing the torque generated by the motor, the angular velocity, the current in the armature circuit, the current in the excitation circuit, the electromotive force generated by induction, the excitation flux, and more. We will explain the behavior of the motor through the equations; their derivation will foster comprehensive understanding of the dynamics of the motor.The theory of the 3-phase asynchronous motor will require more lectures to be developed, due to the greater physical and mathematical difficulty of this type of motors. The stator and the rotor are analyzed using complex vectors. First, the electromagnetic field in the air gap between the stator and the rotor is derived, which will then allow to find the flux. Finding the flux is necessary because this physical quantity appears in the constitutive equations of the motor. Besides, the mechanical and electric power generated by the motor will be discussed and mathematically derived in the course, as well as the torque, angular frequency of the rotor, and the parameter called "slip". The characteristic curve of the torque will also be plotted against the angular velocity of the motor.PrerequisitesStudents should be familiar with complex vectors and calculus. Besides, the knowledge of the following concepts from electromagnetism are recommended:· Kirchhoff's laws· Inductance, resistance, impedance· Faraday-Lenz law of electromagnetism (which stems from Maxwell laws)
