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Nonlinear development of matrix-converter instabilities

By Stephen M. Cox and Jon C. Clare

Abstract

Matrix converters convert a three-phase alternating-current power supply to a power supply of a different peak voltage\ud and frequency, and are an emerging technology in a wide variety of applications. However, they are susceptible to an\ud instability, whose behaviour is examined herein. The desired “steady-state” mode of operation of the matrix converter becomes unstable in a Hopf bifurcation as the output/input voltage transfer ratio, q, is increased through some threshold value, qc. Through weakly nonlinear analysis and direct numerical simulation of an averaged model, we show that this bifurcation is subcritical for typical parameter values, leading to hysteresis in the transition to the oscillatory state: there may thus be undesirable large-amplitude oscillations in the output voltages even when q is below the linear stability threshold\ud value qc

Publisher: Springer
Year: 2009
OAI identifier: oai:eprints.nottingham.ac.uk:1260
Provided by: Nottingham ePrints

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Citations

  1. (1980). A new sine wave in, sine wave out conversion technique eliminates reactive elements. In:
  2. (1980). Alesina A
  3. (2003). An investigation into the fast- and slow-scale instabilities single phase bidirectional boost converter.
  4. (2003). CAD of matrix converter systems and their control for AC power supplies. In:
  5. (2003). Complex behavior of switching power converters.
  6. (2007). Large-signal model for the stability analysis of matrix converters.
  7. (2002). Matrix converter modulation strategies: a new general approach based on space-vector representation of the switch state.
  8. (2003). Modelling and design of matrix converter solutions for shipboard applications. IMarEST Electric Warship Seminar,
  9. (2001). Nonlinear phenomena in power electronics: bifurcations, chaos, control and applications.
  10. (2008). Piecewise-smooth dynamical systems: theory and applications. doi
  11. (1981). Solid-state power conversion: a Fourier analysis approach to generalized transformer synthesis. doi
  12. (1996). Study of chaos in the buck converter. doi
  13. (2001). Theoretical and experimental investigation of the fast- and slow-scale instabilities of a DC–DC converter.
  14. (2005). Theoretical and experimental investigation on the stability of matrix converters.
  15. (2009). Voltage and current spectra for matrix power converters.
  16. (2002). Weinstein A

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