Two-dimensional hybrid model for magnetic field calculation in electrical machines: exact subdomain technique and magnetic equivalent circuit
- 15 June 2021
- journal article
- research article
- Published by Emerald in COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
- Vol. 40 (3), 535-560
- https://doi.org/10.1108/compel-01-2021-0008
Abstract
Purpose The purpose of this paper is to propose a two-dimensional (2-D) hybrid analytical model (HAM) in polar coordinates, combining a 2-D exact subdomain (SD) technique and magnetic equivalent circuit (MEC), for the magnetic field calculation in electrical machines at no-load and on-load conditions. Design/methodology/approach In this paper, the proposed technique is applied to dual-rotor permanent magnet (PM) synchronous machines. The magnetic field is computed by coupling an exact analytical model (AM), based on the formal resolution of Maxwell’s equations applied in subdomains, in regions at unitary relative permeability with a MEC, using a nodal-mesh formulation (i.e. Kirchhoff's current law), in ferromagnetic regions. The AM and MEC are connected in both directions (i.e. r- and theta-edges) of the (non-)periodicity direction (i.e. in the interface between teeth regions and all its adjacent regions as slots and/or air-gap). To provide accurate solutions, the current density distribution in slot regions is modeled by using Maxwell’s equations instead to MEC and characterized by an equivalent magnetomotive force (MMF) located in the slots, teeth and yoke. Findings It is found that whatever the iron core relative permeability, the developed HAM gives accurate results for both no-load and on-load conditions. Finite element analysis demonstrates the excellent results of the developed technique. Originality/value The main objective of this paper is to achieve a direct coupling between the AM and MEC in both directions (i.e. r- and theta-edges). The current density distribution is modeled by using Maxwell’s equations instead to MEC and characterized by an MMF.Keywords
This publication has 27 references indexed in Scilit:
- A Simplified Finite-Element Model of Hybrid Excitation Synchronous Machines With Radial/Axial Flux Paths via Magnetic Equivalent CircuitIEEE Transactions on Magnetics, 2017
- Comparative analysis of various methods for modelling surface permanent magnet machinesIET Electric Power Applications, 2017
- Nonlinear Analytical Prediction of Magnetic Field and Electromagnetic Performances in Switched Reluctance MachinesIEEE Transactions on Magnetics, 2017
- New Scientific Contribution on the 2-D Subdomain Technique in Cartesian Coordinates: Taking into Account of Iron PartsMathematical and Computational Applications, 2017
- Comparison of hybrid analytical modelling and reluctance network modelling for pre-design purposesMathematics and Computers in Simulation, 2016
- Magnetic Saturation in Semi-Analytical Harmonic Modeling for Electric Machine AnalysisIEEE Transactions on Magnetics, 2015
- A General Framework Based on a Hybrid Analytical Model for the Analysis and Design of Permanent Magnet MachinesIEEE Transactions on Magnetics, 2015
- Semianalytical Framework for Synchronous Reluctance Motor Analysis Including Finite Soft-Magnetic Material PermeabilityIEEE Transactions on Magnetics, 2015
- Open Circuit Performance Analysis of a Permanent Magnet Linear Machine Using a New Hybrid Analytical ModelIEEE Transactions on Magnetics, 2015
- Coupling finite elements and magnetic networks in magnetostaticsInternational Journal for Numerical Methods in Engineering, 1992