Two‐dimensional finite element magnetostatic model of a permanent magnet synchronous generator for predicting its steady‐state performance under different loading conditions

Abstract

A new two-dimensional magnetostatic finite element (FE) model for predicting the steady-state performance of a permanent magnet synchronous generator (PMSG) is proposed. A PMSG can be found in wind farms and emergency electrical power plants. A FE model to predict the PMSG steady-state operation is valuable for initialisation of transient studies and for PMSG design evaluation. In the proposed FE model, the unknowns to be determined are the magnetic vector potential, load angle, stator phase currents and terminal voltage. The model formulation allows the simultaneous computation of the magnetic field, load angle and terminal current of the PMSG. Frequency and load are considered as the model input data. The FE model is validated against experimental tests and a good agreement is obtained.

Transient analysis with coupled field-circuit model and experimental assessment of a PMSG used in small-scale wind turbine for water heating purpose

“…A time-stepping, co-simulation is developed using a 2D FE package in order to present the analysis and performance of a PMSG supplying a different load condition in [23]. A new two-dimensional magnetostatic FEM is proposed to estimate the steady-state performance of the PMSG in [33]. A magnetostatic model of a PMSG is important because it can then be used as a starting point in a transient analysis or evaluation of a new generator design [33].…”

“…A new two-dimensional magnetostatic FEM is proposed to estimate the steady-state performance of the PMSG in [33]. A magnetostatic model of a PMSG is important because it can then be used as a starting point in a transient analysis or evaluation of a new generator design [33]. In the case that the number of poles of the machine is high (as in the application of which 2D electromagnetic details are given in Fig.…”

“…The magnetic vector potential ⃗ A and the electric scalar potential Φ are commonly used potentials to solve electromagnetic problems in which two-dimensional model is based on the assumption that the magnetic vector potential and current density have only z-axis components and their values are determined in the xy-plane and then nonlinear time-varying moving electromagnetic field solved by FEM. The 2D XY problem of the electromagnetic field is described as follows [33,36]:…”

Steady-state time-periodic finite element analysis of a brushless DC motor drive considering motion

“…For determination of the performance characteristics it would be, however advantageous to be able to restrict analysis to the steady-state. Often, the quasi-stationary "frame of reference" models are used with this purpose [1][2][3][4][5]. For some machines, such as motors driven from quasi-square voltage wave inverters, such an analysis can be too approximate.…”

Computationally efficient finite‐element‐based methods for the calculation of symmetrical steady‐state load conditions for synchronous generators

“…In addition, authors reported that the proposed method could also have convergence issues. A similar approach was used for the permanent magnet synchronous generator in [10].…”