The paper presents a mathematical model of Permanent Magnet AC brushless machines (PMSM) having a number of stator poles-obtained via the distribution of the three-phase winding- different from the rotor one, realized by the displacement of the permanent magnets. For these so-called ‘Fractional-Slot’ motors (where few total slots generate high equivalent number of poles) the available mathematical models appear partial and/or incomplete, despite of numerous designing considerations made in literature. In this paper an analytical approach is developed to point out an instantaneous-values mathematical model with concentrated parameters, that can be suitable for control architecture systems when some simplification hypotheses are added. The model takes into account a general distribution of the armature magnetomotive force field, and the total harmonic content of the rotor flux density. The whole MMF harmonic content is then properly reduced and the result is compared to a traditional PMSM model

title = "Mathematical Model of a PM Brushless Motor With Different Stator-Rotor Pole Pairs Number",

abstract = "The paper presents a mathematical model of Permanent Magnet AC brushless machines (PMSM) having a number of stator poles-obtained via the distribution of the three-phase winding- different from the rotor one, realized by the displacement of the permanent magnets. For these so-called {\textquoteleft}Fractional-Slot{\textquoteright} motors (where few total slots generate high equivalent number of poles) the available mathematical models appear partial and/or incomplete, despite of numerous designing considerations made in literature. In this paper an analytical approach is developed to point out an instantaneous-values mathematical model with concentrated parameters, that can be suitable for control architecture systems when some simplification hypotheses are added. The model takes into account a general distribution of the armature magnetomotive force field, and the total harmonic content of the rotor flux density. The whole MMF harmonic content is then properly reduced and the result is compared to a traditional PMSM model",

author = "{La Cascia}, Diego and Ivan Spina and {Di Noia}, {Luigi Pio} and Renato Rizzo",

year = "2013",

language = "English",

pages = "353--358",

}

TY - CONF

T1 - Mathematical Model of a PM Brushless Motor With Different Stator-Rotor Pole Pairs Number

AU - La Cascia, Diego

AU - Spina, Ivan

AU - Di Noia, Luigi Pio

AU - Rizzo, Renato

PY - 2013

Y1 - 2013

N2 - The paper presents a mathematical model of Permanent Magnet AC brushless machines (PMSM) having a number of stator poles-obtained via the distribution of the three-phase winding- different from the rotor one, realized by the displacement of the permanent magnets. For these so-called ‘Fractional-Slot’ motors (where few total slots generate high equivalent number of poles) the available mathematical models appear partial and/or incomplete, despite of numerous designing considerations made in literature. In this paper an analytical approach is developed to point out an instantaneous-values mathematical model with concentrated parameters, that can be suitable for control architecture systems when some simplification hypotheses are added. The model takes into account a general distribution of the armature magnetomotive force field, and the total harmonic content of the rotor flux density. The whole MMF harmonic content is then properly reduced and the result is compared to a traditional PMSM model

AB - The paper presents a mathematical model of Permanent Magnet AC brushless machines (PMSM) having a number of stator poles-obtained via the distribution of the three-phase winding- different from the rotor one, realized by the displacement of the permanent magnets. For these so-called ‘Fractional-Slot’ motors (where few total slots generate high equivalent number of poles) the available mathematical models appear partial and/or incomplete, despite of numerous designing considerations made in literature. In this paper an analytical approach is developed to point out an instantaneous-values mathematical model with concentrated parameters, that can be suitable for control architecture systems when some simplification hypotheses are added. The model takes into account a general distribution of the armature magnetomotive force field, and the total harmonic content of the rotor flux density. The whole MMF harmonic content is then properly reduced and the result is compared to a traditional PMSM model