Modeling and analysis of variable reluctance resolver using magnetic equivalent circuit

Author(s):  
Mohsen Rostami ◽  
Peyman Naderi ◽  
Abbas Shiri

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.

Author(s):  
Mohsen Rostami ◽  
Peyman Naderi ◽  
Abbas Shiri

Purpose The aim of this paper is to propose the model for analyzing the electromagnetic performances of permanent magnet vernier machines (PMVMs) under healthy and faulty conditions. Design/methodology/approach The model uses interconnected reluctance network formed based on the geometrical approximations to predict magnetic performances of the machine. The network consists of several types of reluctances for modeling different parts of machine. Applying Kirchhoffs laws in the network and the machine windings, magnetic and electrical equations are obtained, respectively. To construct the model system of equations, the electrical equation is converted into algebraic form by using the trapezoidal technique. Moreover, the system of equations must be solved by Newton–Raphson method in each step-time because of considering the core saturation effect. Findings The proposed model is developed based on the modified magnetic equivalent circuit (MEC) method, in which the number of flux paths in different parts of the machine can be arbitrary selected. The saturation effect, skewed slots, the desired machine geometrical parameters and various winding arrangements are included in the proposed model; therefore, it can evaluate the time and space harmonics in modeling the PMVMs. Furthermore, a pattern for inter-turn fault detection is extracted from the stator current spectrum. Finally, 2 D-finite element method (FEM) and 3 D-FEM analysis are carried out to evaluate and verify the results of the proposed MEC model. Originality/value Generally, the element numbers have important role in modeling the machine and calculating its performance. Hence, the proposed MEC model’s capability to choose desired number of flux paths is advantage of this paper. Moreover, the developed MEC can be used for analyzing several electrical machines, including other types of vernier machines, with simple modification.


2015 ◽  
Vol 12 (3) ◽  
pp. 359-373
Author(s):  
Reza Ghanaee ◽  
Ahmad Darabi ◽  
Arash Kioumarsi ◽  
Mohammad Baghayipour ◽  
Mohammad Morshed

In this paper, a nonlinear magnetic equivalent circuit is presented as an analytical solution method for modeling of a permanent magnet linear synchronous motor (PMLSM). The accuracy of the proposed model is verified via comparing its simulation results with those obtained by two other methods. These two are the Maxwell?s Equations based analytical method and the wellknown finite elements method (FEM). Saturation and any saliency e.g. slotting effects can be considered properly by both nonlinear magnetic equivalent circuit and FEM, where it cannot be taken into account easily by the Maxwell?s Equations based analytical approach. Accordingly, as the simulation results presented in this paper confirm, the proposed nonlinear magnetic equivalent circuit is compatible with FEM regarding the accuracy while it requires very shorter execution time. Therefore, the magnetic equivalent circuit model of the present paper can be considered as a preferable substitute for the time consuming FEM and approximated analytical method built on Maxwell?s Equations in particular when required to be applied for a design optimization problem.


Author(s):  
In-Soo Song ◽  
Byoung-Wook Jo ◽  
Ki-Chan Kim

Recently, the demand for electric vehicle is increasing worldwide due to eco-friendly policies and stricter emission regulations. As a traction motor for electric vehicle, interior permanent magnet synchronous motors are mainly used. For the design of the interior permanent magnet synchronous motor, the magnetic equivalent circuit method, which is a method of lumped constant circuit, and the finite element method, which is a method of distributed constant circuit, mainly are used. Magnetic equivalent circuit method is useful for simple design through fast and intuitive parameters, but it cannot derive the distribution of magnetic field. The finite element method can derive an accurate magnetic field distribution, but it takes a long time to analyze and it is difficult to analyze intuitive design parameters. In this paper, magnetic equivalent circuit method and Carter coefficient are mixed for rotor structure design. This design method will be called the hybrid magnetic equivalent circuit method. Intuitive design parameters are derived through this hybrid magnetic equivalent circuit method. We will derive the Air gap flux density distribution according to rotor shape, no-load induced voltage, and cogging torque, and compare and verify it with the finite element method.


Author(s):  
Amina Ibala ◽  
Ahmed Masmoudi

Purpose – The purpose of this paper is to deal with the modeling of a claw pole alternator (CPA) by a 3D magnetic equivalent circuit (MEC) taking into account the saturation and magnetic armature reaction effects then its utilization for the prediction of the machine losses. Design/methodology/approach – Following the derivation of the proposed model, it is validated experimentally at no-load and load operations. Proposed MEC is applied to the investigation of a conventional CPA losses. Findings – The CPA efficiency is affected by different loss mechanisms. Indeed, the copper losses are dominant at lower speeds, while the iron and ventilation ones are more significant at high speeds. Research limitations/implications – An experimental validation of the losses computed by the MEC shall be treated in the future. Practical implications – The CPA is equipping most if not all embedded generating systems of road vehicles. The improvement of its efficiency is of great importance. Originality/value – The MEC-based prediction of the CPA losses represents the major contribution of the present work.


Electronics ◽  
2021 ◽  
Vol 10 (10) ◽  
pp. 1177
Author(s):  
Yeji Kim ◽  
Yoongeun Seon ◽  
Soowon Kim ◽  
Jongmin Kim ◽  
Saemin Bae ◽  
...  

Recently, in accordance with the demand for development of low-power semiconductor devices, a negative capacitance field-effect-transistor (NC-FET) that integrates ferroelectric material into a gate stack and utilizes negative capacitive behavior has been widely investigated. Furthermore, gate-all-around (GAA) architecture to reduce short-channel effect is expected to be applied after Fin-FET technology. In this work, we proposed a compact model describing current–voltage (I–V) relationships of an NC GAA-FET with interface trap effects for the first time, which is a simplified model by taking proper approximation in each operating region. This is a surface potential-based compact model, which is suitable for evaluating the I–V characteristics for each operating region. It was validated that the proposed model shows good agreement with the results of implicit numerical calculations. In addition, by using the proposed model, we explored the electrical properties of the NC GAA-FET by varying the basic design parameters such as ferroelectric thickness (tfe), intermediate insulator thickness (tox), silicon channel radius (R), and interface trap densities (Net).


2018 ◽  
Vol 90 (4) ◽  
pp. 699-710
Author(s):  
Adam Dacko ◽  
Pawel Borkowski ◽  
Lukasz Pawel Lindstedt ◽  
Cezary Rzymkowski ◽  
Miroslaw Rodzewicz

Purpose This paper aims to present the assumptions, analysis and sample results of numerical modeling and analysis of dynamic events encountered in emergency cases during deployment of parachute rescue system (PRS) and hard landing of a small gyrocopter. The optimal design requires knowledge of structural loads and structural response – the information obtained often from experiment. Numerical simulation is presented as an alternative tool for estimating these data. Design/methodology/approach Structural analyses were performed using MSC.Nastran. Multibody simulations were done using MADYMO system. Findings Initial design parameters were evaluated and verified in numerical simulations. Some of the resulting conclusions were proven during the test flights. Practical implications Some chosen results of simulation of dynamic problems are presented. They can be useful as reference values for similar cases for light aircraft analysis. Originality/value The paper presents an alternative way of assessing structural response parameters in the case of emergency dynamic events of usage of PRS. The results can be used in other projects.


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