Repetitive Control and Feedback Dithering Modulation of a DC/AC Converter

Authors: Sing-Han Wang, Shiang-Hwua Yu, Chih-Po Yang

Abstract:

Repetitive control and feedback dithering modulation are applied to a single-phase voltage source inverter, with an aim to eliminate harmonics and stabilize the inverter under load variations. The proposed control and modulation scheme comprise multiple loops of feedback, which helps improve inverter performance and robustness. Experimental results show that the designed inverter exhibits very low distortion at its output with THD of about 0.3% under different load variations.

Keywords: Feedback dithering modulation, repetitive control, state feedback, inverter, harmonics elimination.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1087498

References:

[1] Y. Y. Tzou, R. S. Ou, S.L. Jung, M. Y. Channg, “High-Performance Programmable AC Power Source with Low Harmonic Distortion Using DSP-Based Repetitive Control Technique,” IEEE Trans. Power Electron., vol.12, no.4, pp. 715-725, July 1997.
[2] K. Zhang, Y. Kang, J. Xiong, and J. Chen, "Direct Repetitive Control of SPWM Inverter for UPS Purpose", IEEE Trans. Power Electron., vol. 18, no. 3, pp.784-792, May 2003.
[3] Y. Te, B. Zhang, K. Zhou, D. Wang and Y. Wang, "High-performance cascade-type repetitive controller for CVCF PWM inverter: analysis and design," IET Electrical Power Applications, vol.1, no.1, pp.112-118, Jan. 2007.
[4] G. Carrara, S. Gardella, M. Marchesoni, R. Salutari, and G. Sciutto, “A new multilevel PWM method: A theoretical analysis,” IEEE Trans. Power Electron., vol. 7, no. 3, pp. 497–505, Jul. 1992.
[5] D. G. Holmes and T. A. Lipo, Pulse width modulation for power converters: principles and practice, Wiley, 2003.
[6] S. Kouro, M. Malinowski, K. Gopakumar, J. Pou, L. G. Franquelo, B. Wu, J. Rodriguez, M. A. Pérez, and J. I. Leon, “Recent advances and industrial applications of multilevel converters,” IEEE Trans. Ind. Electron., vol. 57, no. 8, pp. 2553–2580, Aug. 2010.
[7] K. J. Åström and B. Wittenmark, Computer-Controlled Systems: Theory and Design, Prentice-Hall International Editions, 1990.
[8] S. H. Yu, “Feedback dithering for decorrelating quantization noise and enhancing SNDR,” IEEE Trans. Control Syst. Technol., vol. 20, no. 3, pp.621-630, May 2012.
[9] S. H. Yu, T. Y. Wu, S.H. Wang, “Extension of pulse width modulation from carrier-based to dither-based. IEEE Trans. Ind. Informatics, vol. 9, no.2, pp. 1029-1036, May 2013.
[10] M Tomizuka, T. C. Tsao, and K. K. Chew, ‘‘Discrete-time Domain Analysis and Synthesis of Repetitive Controllers,’’ ASME J. Dyn. Syst., Meas., Control, 111, No. 3, pp. 353–358, 1989.
[11] N. K. Gupta, “Frequency-shaped cost functionals—Extension of linear quadratic-Gaussian design methods,” J. Guid., Control, Dyn., vol. 3, no. 6, pp. 529–535, 1980.
[12] S. H. Yu and M. H. Tseng, “Optimal control of a nine-level Class-D audio amplifier using sliding-mode quantization,” IEEE Trans. Ind. Electron., vol. 58, no. 7, pp. 3069-3076,July 2011.