Model Order Reduction applied to a linear Finite Element model of a squirrel cage induction machine based on POD approach

The Proper Orthogonal Decomposition (POD) approach is applied to a linear Finite Element (FE) model of a squirrel cage induction machine. In order to obtain a reduced model valid on the whole operating range, snapshots are extracted from the simulation of typical tests such as at locked rotor and at the synchronous speed. Then, the reduced model of the induction machine is used to simulate different operating points with variable rotation speed and the results are compared to the full FE model to show the effectiveness of the proposed approach

Model Order Reduction for Rotating Electrical Machines

The simulation of electric rotating machines is both computationally expensive and memory intensive. To overcome these costs, model order reduction techniques can be applied. The focus of this contribution is especially on machines that contain non-symmetric components. These are usually introduced during the mass production process and are modeled by small perturbations in the geometry (e.g., eccentricity) or the material parameters. While model order reduction for symmetric machines is clear and does not need special treatment, the non-symmetric setting adds additional challenges. An adaptive strategy based on proper orthogonal decomposition is developed to overcome these difficulties. Equipped with an a posteriori error estimator the obtained solution is certified. Numerical examples are presented to demonstrate the effectiveness of the proposed method

Surrogate Model Based on the POD Combined With the RBF Interpolation of Nonlinear Magnetostatic FE Model

International audienceThe Proper Orthogonal Decomposition (POD) is an interesting approach to compress into a reduced basis numerous solutions obtained from a parametrized Finite Element (FE) model. In order to obtain a fast approximation of a FE solution, the POD can be combined with an interpolation method based on Radial Basis Functions (RBF) to interpolate the coordinates of the solution into the reduced basis. In this paper, this POD-RBF approach is applied to a nonlinear magnetostatic problem and is used with a single phase transformer and a three-phase inductance

Computation of the magnetic flux in the finite elements method

For designers, calculation of local fluxes can be very useful. In the vector potential formulation, the local fluxes can be easily deduced. In the scalar potential formulation, the determination of these fluxes presents some difficulties. In this paper, we present three methods to compute a flux through any surface in the scalar potential formulation. These are compared with the one used in the vector potential formulation for two application examples