R. Chedid et Ll. Freris, MAGNETIC-FIELD ANALYSIS OF ASYMMETRICAL MACHINES BY FINITE-ELEMENT METHOD, IEE proceedings. Part C. Generation, transmission and distribution, 141(1), 1994, pp. 53-60
Magnetic and electric asymmetry have been used by many electrical mach
ine designers to develop useful devices. The main feature of such desi
gns is the nonsinusoidal variation of the magnetic field with time. Th
e effect of harmonics on the overall performance is normally studied a
nalytically either by using the symmetrical components method or the r
otating field concept. Both methods lead to a cascade type equivalent
circuit which can be used to predict performance and as an aid to opti
mise the design. For accurate analysis, however, a detailed simulation
of the magnetic field distribution is needed. This would normally req
uire the time stepping finite element method. Tn this paper, a simple
finite element technique to solve, nonlinear time periodic magnetic fi
eld problems in asymmetrical electrical machines is proposed. The appr
oach is based on a steady-state magnetodynamic formulation together wi
th application of harmonic balance to the diffusion equation. The theo
ry is verified on a special low speed generator with asymmetry on both
stator and rotor.