Title :
Bivariate polynomial approximation of cross-saturated flux curves in synchronous machine models
Author :
Kuehl, Sascha ; Landsmann, Peter ; Kennel, Ralph M.
Author_Institution :
Inst. of Electr. Drive Syst. & Power Electron., Tech. Univ. Munchen (TUM), Munich, Germany
Abstract :
Efficient control is always related to the quality and accuracy of the model describing the plant. The torque generated in synchronous machines is a function of flux linkage and stator currents. For efficiency improvements in torque, speed or position control, a precise knowledge of the relation between flux and current is thus essential. Magnetic saturation affects this relation and - if neglected - causes noticeable efficiency reductions, especially at high loads. This work presents an analytical methodology for describing the complete, saturated flux characteristics of synchronous machines by means of bivariate polynomials. An effective strategy for determining the polynomial coefficients is proposed and demonstrated exemplarily for a synchronous reluctance machine and an interior permanent magnet synchronous machine.
Keywords :
electric current control; machine control; permanent magnet motors; polynomial approximation; reluctance machines; stators; bivariate polynomial approximation; cross-saturated flux curves; flux linkage function; interior permanent magnet synchronous machine; magnetic saturation affects; noticeable efficiency reductions; polynomial coefficients; position control; saturated flux characteristics; speed control; stator currents; synchronous machine models; synchronous reluctance machine; torque generation; Approximation methods; Couplings; Current measurement; Magnetic flux; Polynomials; Synchronous machines; Vectors; IPM; PMSM; SPM; SynRM; Synchronous machine; cross-saturation; magnetic saturation; polynomial approximation;
Conference_Titel :
Energy Conference and Exhibition (ENERGYCON), 2012 IEEE International
Conference_Location :
Florence
Print_ISBN :
978-1-4673-1453-4
DOI :
10.1109/EnergyCon.2012.6347756