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Transient simulation of an electrical rotating machine achieved through model order reduction

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TLDR
This work proposes to apply the proper orthogonal decomposition combined with the (Discrete) empirical interpolation method in order to reduce the computation time required to study the start-up of an electrical machine until it reaches the steady state.
Abstract
Model order reduction (MOR) methods are more and more applied on many different fields of physics in order to reduce the number of unknowns and thus the computational time of large-scale systems. However, their application is quite recent in the field of computational electromagnetics. In the case of electrical machine, the numerical model has to take into account the nonlinear behaviour of ferromagnetic materials, motion of the rotor, circuit equations and mechanical coupling. In this context, we propose to apply the proper orthogonal decomposition combined with the (Discrete) empirical interpolation method in order to reduce the computation time required to study the start-up of an electrical machine until it reaches the steady state. An empirical offline/online approach based on electrical engineering is proposed in order to build an efficient reduced model accurate on the whole operating range. Finally, a 2D example of a synchronous machine is studied with a reduced model deduced from the proposed approach.

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Citations
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Journal ArticleDOI

Reduced order modeling for transient simulation of power systems using trajectory piece-wise linear approximation

TL;DR: The TPWL method for a swing dynamics model shows that the method provides accurate reduced order models for non-linear transient problems.
Journal ArticleDOI

Proper Generalized Decomposition Applied on a Rotating Electrical Machine

TL;DR: A method to account for the rotation in the PGD approach in order to build an efficient metamodel of an electrical machine with an acceptable computational time on a full simulation is proposed.
Journal ArticleDOI

Model Order Reduction Applied to a Linear Finite Element Model of a Squirrel Cage Induction Machine Based on POD Approach

TL;DR: In this paper, the proper orthogonal decomposition (POD) approach is applied to a linear finite element (FE) model of a squirrel cage induction machine, and snapshots are extracted from the simulation of typical tests, such as at the locked rotor and the synchronous speed.
Journal ArticleDOI

Efficient Estimation of Electrical Machine Behavior by Model Order Reduction

TL;DR: The proper orthogonal decomposition (POD) is an efficient model order reduction method, which is frequently coupled with the discrete empirical interpolation method (DEIM) to solve nonlinear electromagnetic problems.
References
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Reference EntryDOI

Principal Component Analysis

TL;DR: Principal component analysis (PCA) as discussed by the authors replaces the p original variables by a smaller number, q, of derived variables, the principal components, which are linear combinations of the original variables.
Journal ArticleDOI

Nonlinear Model Reduction via Discrete Empirical Interpolation

TL;DR: A dimension reduction method called discrete empirical interpolation is proposed and shown to dramatically reduce the computational complexity of the popular proper orthogonal decomposition (POD) method for constructing reduced-order models for time dependent and/or parametrized nonlinear partial differential equations (PDEs).
Journal ArticleDOI

PRIMA: passive reduced-order interconnect macromodeling algorithm

TL;DR: In this article, an algorithm for generating provably passive reduced-order N-port models for linear RLC interconnect circuits is described, in which, in addition to macromodel stability, passivity is needed to guarantee the overall circuit stability.
Journal ArticleDOI

An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

TL;DR: Barrault et al. as discussed by the authors presented an efficient reduced-basis discretization procedure for partial differential equations with nonaffine parameter dependence, replacing non-affine coefficient functions with a collateral reducedbasis expansion, which then permits an affine offline-online computational decomposition.

A Survey of Model Reduction Methods for Large-Scale Systems

TL;DR: An overview of model reduction methods and a comparison of the resulting algorithms is presented, finding that the approximation error in the former case behaves better globally in frequency while in the latter case the local behavior is better.
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