Mathematical Simulation of the Magnetic Field Occurred by the Armature Reaction of the Synchronous Machine
24th European Conference on Modelling and Simulation 2010
Aleksandrs Mesņajevs, Andrejs Zviedris

Using proposed methodology and mathematical simulation parameters of the armature winding, magnetic system geometry is estimated, as well as the saturation’s influence on the mentioned parameter is evaluated. Methods are based on magnetic field mathematical simulation, solving partial derivatives of the differential equation comparatively to the vector magnetic potential and using one of the most efficient methods – the finite element method (FEM) (Voldek 1978). There is theoretically justified and described method of obtaining the armature winding phase magnetic-flux linkage, i.e., , from the vector potential which, as a function of spatial coordinates , is received by mathematical simulation of the stationary magnetic field. The method is based on solving several stationary magnetic field equations. In equations as a field source are defined the phase currents instantaneous values, which are aligned with the rotor rotation angle . According to the classical synchronous machine two-reaction theory, synchronous reactances and are determined from the magnetic field’s fundamental harmonic in the air gap.


Keywords
Mathematical simulation, synchronous machine, magnetic field

Mesņajevs, A., Zviedris, A. Mathematical Simulation of the Magnetic Field Occurred by the Armature Reaction of the Synchronous Machine. In: 24th European Conference on Modelling and Simulation, Malaysia, Kuala Lumpur, 1-4 June, 2010. Kuala Lumpur: Pirrot GmbH, 2010, pp.93-97. ISBN 978-0-9564944-0-5.

Publication language
English (en)
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