Modelling of BLDCM with a double 3-phase stator winding and back EMF harmonics

• Autorzy: Drozdowski P.

Identyfikatory

DOI

10.1515/aee-2015-0006

• Języki publikacji: EN

Abstrakty

EN

In this paper the mathematical model of the brushless DC motor (BLDCM) with a double 3-phase stator winding is analysed. Both the 3-phase windings are mutually displaced by 30 electrical degree. Special care has been sacrificed to influence of higher harmonics of induced electromotive forces (EMF) on electromagnetic torque and zero sequence voltages that may be used for sensorless control. The mathematical model has been presented in natural variables and, after transformation to symmetrical components, in a vector form. This allows, from one side, for formulating the equivalent circuit suitable for circuit oriented simulators (e.g.: Spice, SimPowerSystems of Simulink) and, from the other point of view, for analysis of higher harmonics influence on control possibilities. These considerations have been illustrated with some results of four quadrant operation obtainded due to simulation at automatic control.

Słowa kluczowe

EN

brushless DC motor; double stator winding; harmonics of back EMF

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2015
• Tom: Vol. 64, nr 1
• Strony: 53--66
• Opis fizyczny: Bibliogr. 19 poz., rys., wz.

Twórcy

autor

Drozdowski P.

• Cracow University of Technology Faculty of Electrical and Computer Engineering Institute of Electromechanical Energy Conversion ul. Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• [1] Ciurys M., Dudzikowski I., Modelling of BLDC motor incorporating an actual waveform of back EMF (in Polish: Modelowanie silnika bezszczotkowego z uwzględnieniem rzeczywistego przebiegu siły elektromotorycznej). Sc. Papers of the Inst. of El. Machines, Drives and Metrology 62/28, Wroclaw Univ. of Tech., Wrocław (2008).
• [2] Dae-Kyu Jang, Jung-Hwan Chang, Gun-Hee Jang, Back EMF Design of an AFPM Motor using PCB Winding by Quasi 3D Space Harmonic Analysis Method. Journal of Electrical Engineering & Technology 7(5): 730-735 (2012).
• [3] Domoracki A., Krykowski K., BLDC motors - classical control methods (in Polish: Silniki bldc - klasyczne metody sterowania). Zeszyty Problemowe BOBRME - Maszyny Elektryczne 72: 155-159 (2005).
• [4] Drozdowski P., Control properties of the PM brushless DC motor with rectangular and stepwise currents. Proc. of 3rd Int. Conf. Drives and Supply Systems for Modern Electric Traction, pp. 98-103 Warsaw (1997).
• [5] Drozdowski P., Jagiełło A., The commutation process modelled by the serraphile functions and its influence on controlled brushless dc machines. Sc. Bull. of Lodz Techn. Univ. Elektryka, 91(788): 39-44, Łódź (1998).
• [6] Drozdowski P., Szular Z., Voltage control of permanent magnet synchronous generator using a static converter (in Polish: Sterowanie napięcia wyjściowego generatora synchronicznego wzbudzanego magnesami trwałymi za pomocą układu przekształtnikowego). Sc. Letters of Silesian Univ. of Tech. Elektryka 177: 203-210, Gliwice (2001).
• [7] Drozdowski P., Modelling of BLDCM with Asymmetrical Double Stator Winding and Back EMF Harmonics. KOMEL Transactions 104(4): 111-116, Katowice (2014).
• [8] Glinka T., Permanent magnet electrical machines (book in Polish: Maszyny elektryczne wzbudzane magnesami trwałymi). Gliwice (Poland), Silesian Univ. of Tech. (2002).
• [9] Jagiełło A., The transformations not allowed for integration in the theory of electrical machines (in Polish: Przekształcenia niecałkowalne w teorii maszyn elektrycznych). PWN Warszawa (2002).
• [10] Jagiełło A., Brushless DC machine based on the 2x3 phase synchronous motor (in Polish: Bezszczotkowa maszyna prądu stałego zbudowana na bazie silnika synchronicznego 2x3 fazowego). Monograph 450, Electrical and Comp. Eng., Cracow Univ. of Tech., pp. 151-166, Kraków (2014).
• [11] José Carlos Gamazo-Real, Ernesto Vázquez-Sánchez, Jaime Gómez-Gil., Position and Speed Control of Brushless DC Motors Using Sensorless Techniques and Application Trends. Sensors 2010, 10, www.mdpi.com/journal/sensors, pp. 6901-6947 (2010).
• [12] Kallio S., Modeling and parameter estimation of double-star permanent magnet synchronous machines. Doctoral Thesis, Lappeenranta University of Technology, Lappeenranta (2014).
• [13] Krykowski K., Hetmańczyk J., Gałuszkiewicz Z., Miksiwicz R., Computer analysis of high-speed PMBLDC motor properties. Int. Journ. for Comp. and Math. in Electrical and Electronic Eng. COMPEL 30(3): 941-956 (2011).
• [14] Nezli L., Elbar M., Naas B., Direct Torque Control of Double Star Synchronous Machine. International Journal of Recent Trends in Engineering 2(5): 336-340 (2009).
• [15] Shen J.X., Zhu Z.Q., Howe D., Sensorless Flux-Weakening Control of Permanent-Magnet Brushless Machines Using Third Harmonic Back EMF. IEEE Transactions on Industry Applications 40(6): 1629 (2004).
• [16] Vas P., Sensorless vector and direct torque control. Oxford Univ. Press (1998).
• [17] Wach P., Dynamics and control of electrical drives. Springer (2011).
• [18] Węgiel T., Space harmonics interaction in permanent magnet generators. Monograph 447. Electrical and Comp. Eng., Cracow Univ. of Technology, Kraków (2013).
• [19] Zawirski K., Control of permanent magnet synchronous motor (in Polish: Sterowanie silnikiem synchronicznym o magnesach trwałych). Poznań, Wyd. Pol. Pozn. (2005).