This paper presents a comparison between results, for two methods of obtaining the values of "d-axis" synchronous reactance X sd and "q-axis" synchronous reactance X sq , of the permanent magnet synchronous motor with radial magnets (RPMSM). The paper provides a background describing the benefits of using the RPMSM machine and how the synchronous reactance parameters are valuable in determining stability and control algorithms for the machine. The two methods described are a load test under constant frequency conditions and Finite Element Analysis (FEA). Results obtained from the load tests, including the internal load angle į, have been used to calculate X sd and X sq and represent their values with respect to the armature current and internal angle į. Comparative results have been extracted using FEA. Good agreement between results is illustrated. Future developments conclude the paper.Index Terms-Permanent Magnet Synchronous Motor (PMSM), Permanent magnets, synchronous reactance, radial permanent magnets synchronous motor (RPMSM), counter electromotive force (back EMF), saliency ratio, Finite Element Analysis (FEA), position transducer, Samarium Cobalt (SmCo), Normal Flux Density
SYMBOLS AND NOMENCLATUREf n -nominal frequency I sd , I sq -"d-axis" , respectively "q-axis" component of the stator current in the rotor reference frame V sd , V sq -"d-axis" , respectively "q-axis" component of the stator voltage in the rotor reference frame L s -Stator self inductance L sd , L sq -stator synchronous inductance along the "d", "q" axis RR ngle) s -stator resistance v s , i s -space vector of the stator voltage and current į i -electrical Angle between the phase voltage and the phase induced EMF (internal angle or load a ij -power Factor Angle (angle between v s and i s ) ȕ -torque Angle (the angle between i s and the "d-axis") Ȧ r -rotor angular frequency Ȧ n -nominal angular frequency) T e -electromagnetic (developed) torque T L -load torque E i -total Induced EMF per phase E PM -induced EMF due to the permanent magnets per phase X sd , X sq -direct ("d-axis") and quadrature ("q-axis") reactance V s , I s -stator voltage, respectively current, steady state S 1 , P 1 -apparent , respectively real input power of PMSM cosij -input power factor of PMSM P 1 -input real power P 2 -output (shaft) power S 1 -input apparent power
INTRODUCTIONThe PMSM has become popular in recent years because of its advantages over the wound rotor synchronous motor: These advantages include higher specific torque and shaft power, robustness, lower maintenance costs, better dynamic performances, as well as simplified converter configurations for variable frequency operation.In comparison with the induction machine, a PMSM displays higher efficiency and power factor vales for the same load conditions. Consequently, a PMSM drive will require a variable frequency converter with lower ratings than an induction motor similar pole configuration and power rating.Following significant advances in power electronic systems, control strategies and permane...