近日，同济大学（Tongji University）钟再敏、王业勤团队以《四线圈原型电机模型及其空间矢量数学表征》为题在《电机与控制应用》上发表最新研究论文，第一作者和通信作者均为钟再敏。
本文是作者此前提出的“牵连运动电动势”的直接拓展，文章探索提出了“四线圈原型电机”模型，藉此统一表征电机的机电能量变换过程。
图1 本文提出的“四线圈原型电机”模型
从物理模型视角，该原型电机定、转子分别用各自固结的空间正交两相励磁线圈表征，无需引入Kron等人首先提出的“伪静止线圈”物理概念，电磁结构直观简洁；从数学模型视角，得益于“牵连运动电动势”的引入，可以直接在任意运动参考系下建立该原型电机的空间矢量数学方程，不依赖额外的坐标变换推导过程，方便理解和记忆。
本文的主体内容分三部分。首先，简要回顾了电机统一理论的发展过程；然后，详细介绍了“四线圈原型电机”物理模型，建立推导了其磁链、转矩和电压空间矢量方程，并结合所建立的电压、转矩方程讨论了电机的工作和控制特性；最后，探索应用“四线圈原型电机”分析和解释了典型同步、异步和直流电机的工作过程。
本文的工作来源于教学和科研实践，是对统一电机模型理论的有益拓展和补充。“四线圈原型电机”作为一个双边激励的两相交流电机，在完整揭示电机的机电能量变换过程的同时，概念上直观简洁，易于理解和接受，极具推广应用价值。
图2 基于四线圈原型电机模型的基本矢量控制架构
本文工作对于电机工程实践也有很好的参考价值，基于文中给出的基本矢量控制架构，有望实现不同类型电机矢量控制架构的统一。
A Four-Coil Unified Model of Electrical Machinery and Its Space Vector Mathematic Description
This article proposes a four-coil unified model of electrical machinery (FUMEM) to uniformly describe the electromechanical energy transformation process of electrical machinery, which is an extended research work based on the concept of “entrainment electromotive force” previously proposed by authors.
From the perspective of the physical model, the stator and rotor of the FUMEM are represented by their respective fixed spatial orthogonal two-phase excitation coils. There is no need to introduce the physical concept of the “pseudo-stationary coil” proposed by Kron and others. The FUMEM has an intuitive and concise electromagnetic structure. From the perspective of the mathematical model, with the introduction of the “entrainment electromotive force”, the spatial vector mathematical equations of the FUMEM can be established in any rotational reference frame without relying on additional coordinate transformation processes. This FUMEM is easy for understanding and memorization.
The main content of this article includes three parts. Firstly, it briefly reviews the development of the unified theory of electric machinery. Secondly, it provides a detailed introduction to the physical model of the FUMEM, establishes its magnetic flux, torque, and voltage spatial vector equations, and discusses its operation and control characteristics based on the established voltage and torque equations. Lastly, this article explores the application of the FUMEM to analyze and explain the operation processes of typical synchronous, asynchronous, and direct current motors.
The work presented in this article originates from teaching and research practice and provides a beneficial extension and complement to the unified theory of electrical machinery. With its double-sided excitation by two-phase alternating current, the FUMEM not only provides a comprehensive understanding for the electromechanical energy transformation process of electrical machinery, but also offers a conceptually clear and straightforward approach that can be easily comprehended and applied in various practical scenarios.
The work presented in this article also holds great reference value for practical applications. With the fundamental vector control architecture provided in the article, it is expected to achieve a unified vector control framework for different types of motors.
钟再敏现就职于同济大学，教授，博士生导师。长期从事车用电驱动技术领域的教学和科研工作，主讲《电机与控制》、《现代控制理论基础》等本科生和研究生课程，含《车用驱动电机原理与控制基础》在内出版教材2部。
科研工作聚焦新型车用电驱动、高速磁浮用直线电机及其控制等方向。主持国家自然科学基金项目2项，主持或参与国家863、科技支撑和国际合作项目十余项。作为主要成果完成人获“国家科学技术进步二等奖”、“上海市科技进步一等奖”和“上海市技术发明二等奖”各1项。发表高水平论文40余篇，出版学术专著《车用驱动电机分布参数建模方法及其应用》。
支持基金：
论文链接：
http://www.motor-abc.cn/djykzyy/article/abstract/20230701
推荐引用格式：
钟再敏, 杨明磊, 王业勤, 陈 鸿. 四线圈原型电机模型及其空间矢量数学表征[J]. 电机与控制应用, 2023, 50(7): 1-12.
ZHONG Zaimin, YANG Minglei, WANG Yeqin, CHEN Hong. A Four-Coil Unified Model of Electrical Machinery and Its Space Vector Mathematic Description[J]. Electric Machines & Control Application, 2023, 50(7): 1-12.
