Purpose

The purpose of this paper is to propose a saturable model based on the magnetic equivalent circuit (MEC) for evaluating the electromagnetic performance of the variable area resolver.

Design/methodology/approach

The equivalent circuit is developed where three different reluctance types are used to calculate permeances based on geometrical approximations. The proposed model typically has two types of equations, including the magnetic and electrical equations. The magnetic and electrical equations are related to the resolver core and the windings, respectively. Applying the well-known trapezoidal method, the magnetic and electrical equations can be simultaneously solved. A nonlinearity of the magnetic equations, the algebraic equations system, which is obtained from Kirchhoff’s laws, should be solved by the Newton-Raphson technique in each step-time.

Findings

The flexible MEC model, in which the number of flux tubes in different parts of the resolver can be arbitrarily selected, is proposed to analyze the variable reluctance resolver. Besides, the design parameters such as geometrical dimensions, windings arrangement and a number of the rotor saliencies can be chosen as desired. To consider the effect of time harmonics, a new nonlinear function is used for the core magnetization. Furthermore, different winding layouts can be implemented in the model to take space harmonics into account. The model obtained results are compared with the finite element method in terms of accuracy and simulation time.

Originality/value

Generally, the accuracy of the predictions in the MEC method is dependent on the number of flux tubes; therefore, the flexibility of the proposed MEC model in its capability to choose the desired number of flux paths is the advantage of this work. Moreover, the proposed model can analyze both wound and saliency rotor resolvers by changing the design parameters.

中文翻译：

---

基于磁等效电路的可变磁阻旋转变压器建模与分析

目的

本文的目的是提出一种基于磁等效电路 (MEC) 的可饱和模型，用于评估可变面积旋转变压器的电磁性能。

设计/方法/方法

开发了等效电路，其中使用三种不同的磁阻类型来计算基于几何近似的磁导率。所提出的模型通常具有两种类型的方程，包括磁方程和电方程。磁方程和电方程分别与旋转变压器磁芯和绕组有关。应用众所周知的梯形方法，可以同时求解磁方程和电方程。磁方程的非线性，代数方程组，从基尔霍夫定律获得，应该在每个步骤时间通过牛顿-拉夫森技术求解。

发现

提出了可任意选择旋转变压器不同部位磁通管数量的柔性MEC模型来分析变磁阻旋转变压器。此外，可以根据需要选择设计参数，例如几何尺寸、绕组布置和多个转子凸极。为了考虑时间谐波的影响，磁芯磁化使用了一个新的非线性函数。此外，可以在模型中实施不同的绕组布局以考虑空间谐波。模型得到的结果与有限元方法在精度和仿真时间方面进行了比较。

原创性/价值

通常，MEC 方法中预测的准确性取决于通量管的数量；因此，所提出的 MEC 模型在选择所需磁通路径数量方面的灵活性是这项工作的优势。此外，所提出的模型可以通过改变设计参数来分析绕线和凸极转子旋转变压器。