A T ORQUE R IPPLE C OMPENSATION T ECHNIQUE FOR A L OW -C OST B RUSHLESS DC M OTOR D RIVE H. K. Samitha Ransara and Udaya K. Madawala, Senior Member, IEEE.

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A T ORQUE R IPPLE C OMPENSATION T ECHNIQUE FOR A L OW -C OST B RUSHLESS DC M OTOR D RIVE H. K. Samitha Ransara and Udaya K. Madawala, Senior Member, IEEE 報告學生:蔡秉旂 指導教授:龔應時 教授 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 62, NO. 10, OCTOBER 2015

O UTLINE ABSTRACT INTRODUCTION MATHEMATICAL MODEL COMPENSATING FOR THE TORQUE RIPPLE IMPLEMENTATION RESULTS CONCLUSION REFERENCES

A BSTRACT Torque ripple compensation technique for a brushless dc (BLDC) motor drive that is operated without a DC link capacitor. The motor drive, which uses a single-switch control strategy, resembles that of a buck converter during operation at any switching state. Theoretical behavior of the BLDC motor drive is compared with MATLAB/Simulink-based simulations to demonstrate the validity of the compensation technique and the analysis. Experimental results of a 250 W prototype motor drive are also presented to further validate the theoretical analysis.

I NTRODUCTION Fig.1. (a) Typical BLDC motor drive.

Fig.1. (b) BLDC motor drive without a DC link capacitor. I NTRODUCTION

MATHEMATICAL MODEL Fig. 5. Controllable and uncontrollable regions of current of the motor drive at steady state.

MATHEMATICAL MODEL

COMPENSATING FOR THE TORQUE RIPPLE Fig. 6. Proposed technique for torque ripple compensation.

COMPENSATING FOR THE TORQUE RIPPLE COST COMPARISON BETWEEN THE CONVENTIONAL CONVERTER AND THE PROPOSED COMPENSATION TECHNIQUE

IMPLEMENTATION

RESULTS Fig.8. Case 1 with M1 for E = 95 V. (a) v in( t ) and E. (b) im ( t ) by theoretical analysis. (c) im ( t ) by simulation. (d) im ( t ) by experiment.

RESULTS Fig. 9. Case 2 with M2 for E = 80 V. (a) v in( t ) and E. (b) im ( t ) by theoretical analysis. (c) im ( t ) by simulation. (d) im ( t ) by experiment.

RESULTS Fig. 10. Case 3 with M1 for E = 65 V. (a) v in( t ) and E. (b) im ( t ) by theoretical analysis. (c) im ( t ) by simulation. (d) im ( t ) by experiment.

RESULTS Fig. 11. Comparison between the comprehensive model and the simple model. (a) Case 1 with M1. (b) Case 2 with M2. (c) Case 3 with M1.

RESULTS Fig.13. Proposed compensation for case 1.(a) Simulated im(t) without a capacitor and with a 150 μF capacitor. (b) Simulated im(t) with the proposed compensation. (c) Experimental im(t). (d) DC link voltage with the proposed compensation.

RESULTS Fig.14. Proposed compensation for case 3.(a) Simulated im ( t ) without a capacitor and with a 150 μ F capacitor. (b) Simulated im ( t ) with the proposed compensation. (c) Experimental im ( t ). (d) DC link voltage with the proposed compensation.

RESULTS Fig. 15. Torque–speed curves without a DC link capacitor, with a 150 μ F DC link capacitor and with the proposed compensation for M1.

CONCLUSION With the proposed technique for compensating torque ripples, comparable performance to a conventional BLDC motor drive with a large DC link capacitor can be achieved. However, with the torque ripple compensation technique, the overall complexity of the motor drive has been increased, which is a major disadvantage. The good agreement between the theoretical results, simulated results, and experimental results demonstrate the accuracy of the simple buck model and the effectiveness of the proposed compensation technique.

REFERENCES [1] R. Krishnan, Electric Motor Drives, Modeling, Analysis, and Control. Englewood Cliffs, NJ, USA: Prentice-Hall, [2] R. Krishnan, Permanent Magnet Synchronous and Brushless DC Motor Drives. Boca Raton, FL, USA: CRC Press, [3] J. F. Gieras, Permanent Magnet Motor Technology—Design and Applications. Boca Raton, FL, USA: CRC Press, [4] V. Sankaran, F. Rees, and C. Avant, “Electrolytic capacitor life testing and prediction,” in Conf. Rec. 32nd IEEE IAS Annu. Meeting, Oct. 1997, vol. 2, pp. 1058–1065. [5] H. K.Samitha Ransara and U. K. Madawala, “A low cost brushless DC motor drive,” in Proc. 6th IEEE Conf. ICIEA, Jun. 2011, pp. 2723–2728. [6] Z. Zhu, L. Wu, and M. M. Jamil, “Distortion of back-EMF and torque of PM brushless machines due to eccentricity,” IEEE Trans. Magn., vol. 49, no. 8, pp. 4927–4936, Aug [7] R. Carlson, A. A. Tavares, J. P. Bastos, and M. Lajoie-Mazenc, “Torque ripple attenuation in permanent magnet synchronous motors,” in Conf. Rec. IEEE IAS Annu. Meeting, Oct. 1989, vol. 1, pp. 57–62. [8] T. R. England, “Unique surface-wound brushless servo with improved torque ripple characteristics,” IEEE Trans. Ind. Appl., vol. 24, no. 6, pp. 972–977, Nov./Dec [9] D. Kim, K.-W. Lee, and B.-I. Kwon, “Commutation torque ripple reduction in a position sensorless brushless DC motor drive,” IEEE Trans. Power Electron., vol. 21, no. 6, pp. 1762–1768, Nov [10] Y. A.-R. I. Mohamed and E. F. El-Saadany, “A current control scheme with an adaptive internal model for robust current regulation and torque ripple minimization in PMSM vector drive,” in Proc. IEEE IEMDC, May 2007, vol. 1, pp. 300–305. [11] S. V. Tewari and B. I. Rani, “Torque ripple minimization of BLDC motor with un-ideal back EMF,” in Proc. 2nd ICETET, Dec. 2009, pp. 687–690. [12] H. L. Zhang and L.W. Qu, “A new torque control method for torque ripple minimization of BLDC motors with un-ideal back EMF,” IEEE Trans. Power Electron., vol. 23, no. 2, pp. 950–958, Mar

REFERENCES [13] K.-Y. Nam,W.-T. Lee, C.-M. Lee, and J.-P. Hong, “Reducing torque ripple of brushless DC motor by varying input voltage,” IEEE Trans. Magn., vol. 42, no. 4, pp. 1307–1310, Apr [14] C.-S. Berendsen, G. Champenois, and A. Bolopion, “Commutation strategies for brushless DC motors: Influence on instant torque,” IEEE Trans. Power Electron., vol. 8, no. 2, pp. 231–236, Apr [15] S. B. Ozturk, W. C. Alexander, and H. A. Toliyat, “Direct torque control of four-switch brushless DC motor with non-sinusoidal back EMF,” IEEE Trans. Power Electron., vol. 25, no. 2, pp. 263–271, Feb [16] Y. Zhang, J. Zhu, W. Xu, and Y. Guo, “A simple method to reduce torque ripple in direct torque- controlled permanent-magnet synchronous motor by using vectors with variable amplitude and angle,” IEEE Trans. Ind. Electron., vol. 58, no. 7, pp. 2848–2859, Jul [17] Y. Xu, N. Parspour, and U. Vollmer, “Torque ripple minimization using online estimation of the stator resistances with consideration of magnetic saturation,” IEEE Trans. Ind. Electron., vol. 61, no. 9, pp. 5105– 5114, Sep [18] J. Fang, H. Li, and B. Han, “Torque ripple reduction in BLDC torque motor with nonideal back EMF,” IEEE Trans. Power Electron., vol. 27, no. 11, pp. 4630–4637, Nov [19] J. Fang, X. Zhou, and G. Liu, “Instantaneous torque control of small inductance brushless DC motor,” IEEE Trans. Power Electron., vol. 27, no. 12, pp. 4952–4964, Dec [20] J. Fang, X. Zhou, and G. Liu, “Precise accelerated torque control for small inductance brushless DC motor,” IEEE Trans. Power Electron., vol. 28, no. 3, pp. 1400–1412, Mar [21] Y. Ohnuma and J. Itoh, “Space vector modulation for a single phase to three phase converter using an active buffer,” in Proc. IPEC, 2010, pp. 574–580. [22] Y. Ohnuma and J. I. Itoh, “Novel control strategy for single-phase to three-phase power converter using an active buffer,” in Proc. 13th EPE, Sep. 2009, pp. 1–10. [23] H. K. Samitha Ransara and U. K. Madawala, “A technique for torque ripple compensation of a low cost BLDC motor drive,” in Proc. IEEE ICIT, Feb. 2013, pp. 222–227. [24] H. K.Samitha Ransara and U. K. Madawala, “Modelling and analysis of a low cost BLDC motor,” in Proc. IEEE ICIT, Feb. 2013, pp. 356–361.