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Modeling and analysis of variable reluctance resolver using magnetic equivalent circuit

Mohsen Rostami (Department of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran)
Peyman Naderi (Department of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran)
Abbas Shiri (Department of Electrical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 24 August 2021

Issue publication date: 8 October 2021

72

Abstract

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.

Keywords

Citation

Rostami, M., Naderi, P. and Shiri, A. (2021), "Modeling and analysis of variable reluctance resolver using magnetic equivalent circuit", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 4, pp. 921-939. https://doi.org/10.1108/COMPEL-02-2021-0049

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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