On the Mathematical Modeling of Line-Start Permanent Magnet Synchronous Motors under Static Eccentricity

Abstract

Line start permanent magnet synchronous motors experience different types of failures, including static eccentricity. The first step in detecting such failures is the mathematical modeling of the motor under healthy and failed conditions. In this paper, an attempt to develop an accurate mathematical model for this motor under static eccentricity is presented. The model is based on the modified winding function method and coupled magnetic circuits approach. The model parameters are calculated directly from the motor winding layout and its geometry. Static eccentricity effects are considered in the motor inductances calculation. The performance of the line start permanent magnet synchronous motor using the developed mathematical model is investigated using MATLAB/SIMULINK ® software (2013b, MathWorks, Natick, MA, USA) under healthy and static eccentricity condition for different loading values. A finite element method analysis is conducted to verify the mathematical model results, using the commercial JMAG ® software (16.0.02n, JSOL Corporation, Tokyo, Japan). The results show a fine agreement between JMAG ® and the developed mathematical model simulation results.

Torque Ripple Minimization of the Permanent Magnet Synchronous Machine by Modulation of the Phase Currents

“…In contrast to other approaches exploiting phase current modulation, in the proposed method, to find the amplitudes and phases of the current harmonics that will allow us to improve the energy conversion quality in the PMSM, the precise assessment of the torque ripple is carried out by an analysis of the magnetic field distribution, determined using FEM. Numerical models based on FEM, due to the high reliability resulted from solving partial difference equations describing the magnetic field in space and time domains, are now commonly used at the design stage of EMs [14][15][16][17]. In general, exploiting FEM-based models allows researchers to avoid building a high number of expensive prototypes, which would otherwise be needed to verify the design process.…”

Voltage Stabilisation of a Drive System Including a Power Transformer and Asynchronous and Synchronous Motors of Susceptible Motion Transmission

“…Columnar vector of phase voltages supplied to the power transformer's primary winding u 20 Columnar vector of phase voltages supplied to the power transformer's secondary winding u R Columnar vector of voltages across the rotor cage bars V Columnar vector of phase drive system voltages V Drive system voltage x Current coordinate along the shaft z Coordinate oriented into a cylindrical system deep bar…”

“…There is also a third approach to stabilising voltage in a drive system, which is essentially different to the two described above. If practicable, part of asynchronous drive motors should be replaced with synchronous motors as early as the stage of a drive system design [9,[16][17][18][19][20]. In static states, the angle between the vector of a drive system supply voltage and the vector of synchronous machine phase current can be controlled with the well-known V-characteristics (Mordey curves).…”