Contents
The frequency inverter current spectrum generates a complex magnetic field in the airgap producing attracting forces having a wide spectrum and leads to audible noise. A mathematical model is presented, predicting vibrations of a permanent magnet machine, based on the modal analysis technique including mechanical damping. Modal forces produced by the magnetic field, are related to the supply currents using a finite element calculation. Experimental results are presented.
Übersicht
Das Stromspektrum eines Frequenzumrichters generiert ein komplexes magnetisches Feld im Luftspalt, welches Anziehungskräfte mit einem breiten Frequenzgang hervorruft, die wiederum zu Geräuschen führen. Ein mathematisches Modell wird vorgestellt, welches es ermöglicht, die Schwingungen einer permanent erregten Maschine vorauszusagen. Es basiert auf der Modalen Analyse und enthält die mechanische Dämpfung. Vom Magnetfeld hervorgerufene modale Kräfte werden mit den eingespeisten Strömen mittels der Finite-Elemente-Methode in Verbindung gebracht. Experimentelle Ergebnisse werden dargestellt.
Similar content being viewed by others
References
Verdyck, D.; Belmans, R.; Geysen, W.: An acoustic model for a permanent magnet machine: modal shapes and magnetic forces. IEEE Transactions Industry Applications, Vol. IA-30, 1994, November/December
Verdyck, D.; Belmans, R.; Beulens, B.; Geysen, W.; Manyukov, M.: The measurement of the operational deflection shapes of a PM motor and the calculation of its audible noise. StruCoMe Conference Proceeding (1991) 831–842
Verdyck, D.; Belmans, R.; Geysen, W.: A model for the induced mechanical vibrations in the stator of an inverter fed electrical machine. Proc. 17th Int. Seminar on Modal Analysis and Structural Dynamics (1992) Leuven, Belgium, 871–886
Verma, S. P.: Vibration behaviour of laminated stators of electrical machines. IEE Conference Publication 282, Third Int. Conference on Electrical Machines and Drives (1987) London, 113–117
Tse, F.; Morse, I.: Hinkle, R.: Mechanical vibrations, theory and applications, 2nd ed., Allyn and Bacon, Inc. (1978) 25–27
Leuridan, J.;Van Der Auweraer, H.;Mergeay, M.: Review of parameter identification techniques. Proc. of the 13th International Seminar on Modal Analysis, basic course, part II (1988) Leuven, Belgium, 53–60
Volker, H.: Application of modal analysis to electrical machines. Proc. Eleventh International Seminar on Modal Analysis (1986) Leuven, Belgium, Session C3.1, 1–9
Verma, S. P.: Vibration behaviour of stators of electrical machines. Vibrations and Audible Noise in Alternating Current Machines, R. Belmans et al. (eds.), Kluwer Academic Publishers (1988) 499–513
Richardson, M.; Formenti, D.: Parameter estimation from frequency response measurements using rational fraction polynomials. Proc. of the 1st International Modal Analysis Conference, Orlando, Florida (1985) 167–180
Richardson, M.; Formenti, D.: Global curve fitting of frequency response measurements using the rational fraction polynomial method. Proc. of the 3th International Modal Analysis Conference, Orlando, Florida (1982) 390–397
Verdyck, D.: Mathematical modelling of inverter generated stator vibrations in electrical machines. Ph. D. Thesis (in dutch), K. U. Leuven (1993)
Author information
Authors and Affiliations
Additional information
The authors wish to thank the Council of the Belgian National Science Foundation for granting a project sponsoring the research.
This paper presents results of the Belgian programme on Interuniversity Poles of Attraction initiated by the Belgian State, Prime Minister's Office, Science Policy Programming. The scientific responsibility is assumed by the authors.
Rights and permissions
About this article
Cite this article
Verdyck, D., Belmans, R. A vibrational model using modal shapes and magnetic forces: experimental results for a permanent magnet machine. Archiv f. Elektrotechnik 77, 383–389 (1994). https://doi.org/10.1007/BF01573355
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01573355